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14310100344 = 23319292813851
BaseRepresentation
bin11010101001111001…
…01100110101111000
31100221021222102021110
431110330230311320
5213301341202334
610323551040320
71014421563111
oct152474546570
940837872243
1014310100344
116083751211
1229345100a0
1314709350c7
1499a759208
1558b489ae9
hex354f2cd78

14310100344 has 128 divisors (see below), whose sum is σ = 39105504000. Its totient is φ = 4346496000.

The previous prime is 14310100327. The next prime is 14310100351. The reversal of 14310100344 is 44300101341.

It is a self number, because there is not a number n which added to its sum of digits gives 14310100344.

It is a congruent number.

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, 3714019 + ... + 3717869.

It is an arithmetic number, because the mean of its divisors is an integer number (305511750).

Almost surely, 214310100344 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 14310100344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19552752000).

14310100344 is an abundant number, since it is smaller than the sum of its proper divisors (24795403656).

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

14310100344 is a wasteful number, since it uses less digits than its factorization.

14310100344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4189 (or 4185 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 14310100344 its reverse (44300101341), we get a palindrome (58610201685).

The spelling of 14310100344 in words is "fourteen billion, three hundred ten million, one hundred thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 57 58 76 87 114 116 152 174 228 232 281 348 456 551 562 696 843 1102 1124 1653 1686 2204 2248 3306 3372 3851 4408 5339 6612 6744 7702 8149 10678 11553 13224 15404 16017 16298 21356 23106 24447 30808 32034 32596 42712 46212 48894 64068 65192 73169 92424 97788 111679 128136 146338 154831 195576 219507 223358 292676 309662 335037 439014 446716 464493 585352 619324 670074 878028 893432 928986 1082131 1238648 1340148 1756056 1857972 2121901 2164262 2680296 3246393 3715944 4243802 4328524 6365703 6492786 8487604 8657048 12731406 12985572 16975208 20560489 25462812 25971144 31381799 41120978 50925624 61681467 62763598 82241956 94145397 123362934 125527196 164483912 188290794 246725868 251054392 376581588 493451736 596254181 753163176 1192508362 1788762543 2385016724 3577525086 4770033448 7155050172 14310100344