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10043304404 = 2272174173517
BaseRepresentation
bin10010101101010000…
…01010100111010100
3221220221020201121012
421112220022213110
5131032041220104
64340330511352
7503611451600
oct112650124724
927827221535
1010043304404
114294202281
121b43595558
13c40970093
146b3bd6500
153dbab3d6e
hex256a0a9d4

10043304404 has 72 divisors (see below), whose sum is σ = 22176263592. Its totient is φ = 3952220160.

The previous prime is 10043304371. The next prime is 10043304419. The reversal of 10043304404 is 40440334001.

It can be written as a sum of positive squares in 4 ways, for example, as 2526067600 + 7517236804 = 50260^2 + 86702^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10043304404.

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, 99854 + ... + 173370.

It is an arithmetic number, because the mean of its divisors is an integer number (308003661).

Almost surely, 210043304404 is an apocalyptic number.

10043304404 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 10043304404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11088131796).

10043304404 is an abundant number, since it is smaller than the sum of its proper divisors (12132959188).

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

10043304404 is a wasteful number, since it uses less digits than its factorization.

10043304404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73593 (or 73584 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 10043304404 its reverse (40440334001), we get a palindrome (50483638405).

The spelling of 10043304404 in words is "ten billion, forty-three million, three hundred four thousand, four hundred four".

Divisors: 1 2 4 7 14 17 28 34 41 49 68 82 98 119 164 196 238 287 476 574 697 833 1148 1394 1666 2009 2788 3332 4018 4879 8036 9758 19516 34153 68306 73517 136612 147034 294068 514619 1029238 1249789 2058476 2499578 3014197 3602333 4999156 6028394 7204666 8748523 12056788 14409332 17497046 21099379 34994092 42198758 51241349 61239661 84397516 102482698 122479322 147695653 204965396 244958644 295391306 358689443 590782612 717378886 1434757772 2510826101 5021652202 10043304404