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14013901264 = 2411476072791
BaseRepresentation
bin11010000110100101…
…10010100111010000
31100011122121221112011
431003102302213100
5212200024320024
610234330312304
71004164123666
oct150322624720
940148557464
1014013901264
115a41533490
122871288694
13142446838c
1496d294c36
1557047c094
hex3434b29d0

14013901264 has 80 divisors (see below), whose sum is σ = 30311202816. Its totient is φ = 6221923200.

The previous prime is 14013901249. The next prime is 14013901277. The reversal of 14013901264 is 46210931041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5019709 + ... + 5022499.

Almost surely, 214013901264 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 14013901264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15155601408).

14013901264 is an abundant number, since it is smaller than the sum of its proper divisors (16297301552).

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

14013901264 is a wasteful number, since it uses less digits than its factorization.

14013901264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3464 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 14013901264 in words is "fourteen billion, thirteen million, nine hundred one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 176 188 376 517 607 752 1034 1214 2068 2428 2791 4136 4856 5582 6677 8272 9712 11164 13354 22328 26708 28529 30701 44656 53416 57058 61402 106832 114116 122804 131177 228232 245608 262354 313819 456464 491216 524708 627638 1049416 1255276 1442947 1694137 2098832 2510552 2885894 3388274 5021104 5771788 6776548 11543576 13553096 18635507 23087152 27106192 37271014 74542028 79624439 149084056 159248878 298168112 318497756 636995512 875868829 1273991024 1751737658 3503475316 7006950632 14013901264