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14100947472 = 2432973193719
BaseRepresentation
bin11010010000111101…
…10110001000010000
31100101201102100110210
431020132312020100
5212334320304342
610251120124120
71006302035013
oct151036661020
940351370423
1014100947472
115a866875a7
122896466640
1314394c4a01
1497aa7337a
15577e2379c
hex3487b6210

14100947472 has 160 divisors (see below), whose sum is σ = 38451110400. Its totient is φ = 4446683136.

The previous prime is 14100947423. The next prime is 14100947507. The reversal of 14100947472 is 27474900141.

It is a self number, because there is not a number n which added to its sum of digits gives 14100947472.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19611529 + ... + 19612247.

It is an arithmetic number, because the mean of its divisors is an integer number (240319440).

Almost surely, 214100947472 is an apocalyptic number.

14100947472 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 14100947472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19225555200).

14100947472 is an abundant number, since it is smaller than the sum of its proper divisors (24350162928).

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

14100947472 is a wasteful number, since it uses less digits than its factorization.

14100947472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 14100947472 in words is "fourteen billion, one hundred million, nine hundred forty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 73 87 116 146 174 193 219 232 292 348 386 438 464 579 584 696 719 772 876 1158 1168 1392 1438 1544 1752 2117 2157 2316 2876 3088 3504 4234 4314 4632 5597 5752 6351 8468 8628 9264 11194 11504 12702 14089 16791 16936 17256 20851 22388 25404 28178 33582 33872 34512 41702 42267 44776 50808 52487 56356 62553 67164 83404 84534 89552 101616 104974 112712 125106 134328 138767 157461 166808 169068 209948 225424 250212 268656 277534 314922 333616 338136 408581 416301 419896 500424 555068 629844 676272 817162 832602 839792 1000848 1110136 1225743 1259688 1522123 1634324 1665204 2220272 2451486 2519376 3044246 3268648 3330408 4024243 4566369 4902972 6088492 6537296 6660816 8048486 9132738 9805944 10129991 12072729 12176984 16096972 18265476 19611888 20259982 24145458 24353968 30389973 32193944 36530952 40519964 48290916 60779946 64387888 73061904 81039928 96581832 121559892 162079856 193163664 243119784 293769739 486239568 587539478 881309217 1175078956 1762618434 2350157912 3525236868 4700315824 7050473736 14100947472