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1044164062404 = 2233137682710337
BaseRepresentation
bin11110011000111010000…
…01110010110011000100
310200211011120220020202000
433030131001302303010
5114101421444444104
62115403215345300
7135303234042321
oct17143501626304
93624146806660
101044164062404
11372911434721
1214a448522230
1377605c53348
1438775a73b48
151c263ace639
hexf31d072cc4

1044164062404 has 96 divisors (see below), whose sum is σ = 2727515064960. Its totient is φ = 345430112256.

The previous prime is 1044164062393. The next prime is 1044164062423. The reversal of 1044164062404 is 4042604614401.

1044164062404 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 1 + 6 + 406 + 240 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101007124 + ... + 101017460.

It is an arithmetic number, because the mean of its divisors is an integer number (28411615260).

Almost surely, 21044164062404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1044164062404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363757532480).

1044164062404 is an abundant number, since it is smaller than the sum of its proper divisors (1683351002556).

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

1044164062404 is a wasteful number, since it uses less digits than its factorization.

1044164062404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17314 (or 17306 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 1044164062404 its reverse (4042604614401), we get a palindrome (5086768676805).

The spelling of 1044164062404 in words is "one trillion, forty-four billion, one hundred sixty-four million, sixty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 137 274 411 548 822 1233 1644 2466 3699 4932 6827 7398 10337 13654 14796 20481 20674 27308 31011 40962 41348 61443 62022 81924 93033 122886 124044 184329 186066 245772 279099 368658 372132 558198 737316 935299 1116396 1416169 1870598 2805897 2832338 3741196 4248507 5611794 5664676 8417691 8497014 11223588 12745521 16835382 16994028 25253073 25491042 33670764 38236563 50506146 50982084 70570699 76473126 101012292 141141398 152946252 211712097 282282796 423424194 635136291 846848388 1270272582 1905408873 2540545164 3810817746 7621635492 9668185763 19336371526 29004557289 38672743052 58009114578 87013671867 116018229156 174027343734 261041015601 348054687468 522082031202 1044164062404