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1444714100 = 2252101313457
BaseRepresentation
bin101011000011100…
…1001011001110100
310201200111002011122
41112013021121310
510424321322400
6355205123112
750541603314
oct12607113164
93650432148
101444714100
1168155a0a5
123439b9498
131a0405c1b
14d9c31444
1586c78685
hex561c9674

1444714100 has 72 divisors (see below), whose sum is σ = 3183134808. Its totient is φ = 569088000.

The previous prime is 1444714069. The next prime is 1444714147. The reversal of 1444714100 is 14174441.

It can be written as a sum of positive squares in 12 ways, for example, as 208629136 + 1236084964 = 14444^2 + 35158^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1444714100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3161072 + ... + 3161528.

Almost surely, 21444714100 is an apocalyptic number.

1444714100 is a gapful number since it is divisible by the number (10) 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 1444714100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591567404).

1444714100 is an abundant number, since it is smaller than the sum of its proper divisors (1738420708).

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

1444714100 is a wasteful number, since it uses less digits than its factorization.

1444714100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 1444714100 is about 38009.3948912634. The cubic root of 1444714100 is about 1130.4741529616.

Adding to 1444714100 its reverse (14174441), we get a palindrome (1458888541).

The spelling of 1444714100 in words is "one billion, four hundred forty-four million, seven hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 313 404 457 505 626 914 1010 1252 1565 1828 2020 2285 2525 3130 4570 5050 6260 7825 9140 10100 11425 15650 22850 31300 31613 45700 46157 63226 92314 126452 143041 158065 184628 230785 286082 316130 461570 572164 632260 715205 790325 923140 1153925 1430410 1580650 2307850 2860820 3161300 3576025 4615700 7152050 14304100 14447141 28894282 57788564 72235705 144471410 288942820 361178525 722357050 1444714100