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14005794816 = 211321358451
BaseRepresentation
bin11010000101100111…
…10111100000000000
31100011002101002120100
431002303313200000
5212140440413231
610233440442400
71004035202016
oct150263674000
940132332510
1014005794816
115a379a6a42
12286a619400
13142288a670
1496c1848b6
1556e8ca1e6
hex342cf7800

14005794816 has 144 divisors (see below), whose sum is σ = 43563691080. Its totient is φ = 4309401600.

The previous prime is 14005794799. The next prime is 14005794833. The reversal of 14005794816 is 61849750041.

It is an interprime number because it is at equal distance from previous prime (14005794799) and next prime (14005794833).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210391 + ... + 268841.

Almost surely, 214005794816 is an apocalyptic number.

14005794816 is a gapful number since it is divisible by the number (16) 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 14005794816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21781845540).

14005794816 is an abundant number, since it is smaller than the sum of its proper divisors (29557896264).

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

14005794816 is a wasteful number, since it uses less digits than its factorization.

14005794816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58492 (or 58469 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 14005794816 in words is "fourteen billion, five million, seven hundred ninety-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2048 2304 2496 3072 3328 3744 4608 4992 6144 6656 7488 9216 9984 13312 14976 18432 19968 26624 29952 39936 58451 59904 79872 116902 119808 175353 233804 239616 350706 467608 526059 701412 759863 935216 1052118 1402824 1519726 1870432 2104236 2279589 2805648 3039452 3740864 4208472 4559178 5611296 6078904 6838767 7481728 8416944 9118356 11222592 12157808 13677534 14963456 16833888 18236712 22445184 24315616 27355068 29926912 33667776 36473424 44890368 48631232 54710136 59853824 67335552 72946848 89780736 97262464 109420272 119707648 134671104 145893696 179561472 194524928 218840544 269342208 291787392 359122944 389049856 437681088 538684416 583574784 778099712 875362176 1077368832 1167149568 1556199424 1750724352 2334299136 3501448704 4668598272 7002897408 14005794816