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14011032412032 = 273191920371767
BaseRepresentation
bin1100101111100011001010…
…0111000001111110000000
31211121102220221100112221120
43023320302213001332000
53314024043244141112
645444325053552240
72644156305326115
oct313706247017600
954542827315846
1014011032412032
114512055591087
1216a35224a5680
137a83087b93c6
143661cd77890c
151946d4740e8c
hexcbe329c1f80

14011032412032 has 64 divisors (see below), whose sum is σ = 39175584067200. Its totient is φ = 4424536548864.

The previous prime is 14011032411991. The next prime is 14011032412081. The reversal of 14011032412032 is 23021423011041.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×140110324120322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 14011032411993 and 14011032412011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 960178588 + ... + 960193179.

It is an arithmetic number, because the mean of its divisors is an integer number (612118501050).

Almost surely, 214011032412032 is an apocalyptic number.

14011032412032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14011032412032 is an abundant number, since it is smaller than the sum of its proper divisors (25164551655168).

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

14011032412032 is a wasteful number, since it uses less digits than its factorization.

14011032412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920371803 (or 1920371791 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14011032412032 its reverse (23021423011041), we get a palindrome (37032455423073).

The spelling of 14011032412032 in words is "fourteen trillion, eleven billion, thirty-two million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 1920371767 3840743534 5761115301 7681487068 11522230602 15362974136 23044461204 30725948272 36487063573 46088922408 61451896544 72974127146 92177844816 109461190719 122903793088 145948254292 184355689632 218922381438 245807586176 291896508584 368711379264 437844762876 583793017168 737422758528 875689525752 1167586034336 1751379051504 2335172068672 3502758103008 4670344137344 7005516206016 14011032412032