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1144100412 = 2232721349891
BaseRepresentation
bin100010000110001…
…1001011000111100
32221201211022201100
41010030121120330
54320342203122
6305310013100
740231456500
oct10414313074
92851738640
101144100412
115378a6634
1227b1a7190
131530519c0
14abd3c300
156a697aac
hex4431963c

1144100412 has 108 divisors (see below), whose sum is σ = 3623057256. Its totient is φ = 301734720.

The previous prime is 1144100393. The next prime is 1144100471. The reversal of 1144100412 is 2140014411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2014 + ... + 47877.

Almost surely, 21144100412 is an apocalyptic number.

1144100412 is a gapful number since it is divisible by the number (12) 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 1144100412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811528628).

1144100412 is an abundant number, since it is smaller than the sum of its proper divisors (2478956844).

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

1144100412 is a wasteful number, since it uses less digits than its factorization.

1144100412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49928 (or 49916 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1144100412 is about 33824.5533895128. The cubic root of 1144100412 is about 1045.8949049101.

Adding to 1144100412 its reverse (2140014411), we get a palindrome (3284114823).

The spelling of 1144100412 in words is "one billion, one hundred forty-four million, one hundred thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2548 3276 3822 5733 7644 11466 22932 49891 99782 149673 199564 299346 349237 449019 598692 648583 698474 898038 1047711 1297166 1396948 1796076 1945749 2095422 2444659 2594332 3143133 3891498 4190844 4540081 4889318 5837247 6286266 7333977 7782996 9080162 9778636 11674494 12572532 13620243 14667954 18160324 22001931 23348988 27240486 29335908 31780567 40860729 44003862 54480972 63561134 81721458 88007724 95341701 127122268 163442916 190683402 286025103 381366804 572050206 1144100412