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1444112124 = 22372131711113
BaseRepresentation
bin101011000010011…
…0110011011111100
310201122100111102020
41112010312123330
510424143041444
6355144200140
750533515300
oct12604663374
93648314366
101444112124
116811888a4
12343769050
131a0254c20
14d9b15d00
1586baa119
hex561366fc

1444112124 has 144 divisors (see below), whose sum is σ = 4469961888. Its totient is φ = 358428672.

The previous prime is 1444112123. The next prime is 1444112149. The reversal of 1444112124 is 4212114441.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1444112094 and 1444112103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444112123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124392 + ... + 135504.

It is an arithmetic number, because the mean of its divisors is an integer number (31041402).

Almost surely, 21444112124 is an apocalyptic number.

1444112124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444112124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234980944).

1444112124 is an abundant number, since it is smaller than the sum of its proper divisors (3025849764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1444112124 is a wasteful number, since it uses less digits than its factorization.

1444112124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11164 (or 11155 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 1444112124 is about 38001.4752871517. The cubic root of 1444112124 is about 1130.3171177741.

Adding to 1444112124 its reverse (4212114441), we get a palindrome (5656226565).

It can be divided in two parts, 14441 and 12124, that added together give a triangular number (26565 = T230).

The spelling of 1444112124 in words is "one billion, four hundred forty-four million, one hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 49 51 52 68 78 84 91 98 102 119 147 156 182 196 204 221 238 273 294 357 364 442 476 546 588 637 663 714 833 884 1092 1274 1326 1428 1547 1666 1911 2499 2548 2652 3094 3332 3822 4641 4998 6188 7644 9282 9996 10829 11113 18564 21658 22226 32487 33339 43316 44452 64974 66678 77791 129948 133356 144469 155582 188921 233373 288938 311164 377842 433407 466746 544537 566763 577876 755684 866814 933492 1011283 1089074 1133526 1322447 1633611 1733628 2022566 2178148 2267052 2455973 2644894 3033849 3267222 3967341 4045132 4911946 5289788 6067698 6534444 7078981 7367919 7934682 9257129 9823892 12135396 14157962 14735838 15869364 17191811 18514258 21236943 27771387 28315924 29471676 34383622 37028516 42473886 51575433 55542774 68767244 84947772 103150866 111085548 120342677 206301732 240685354 361028031 481370708 722056062 1444112124