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14054042131104 = 253236365055313
BaseRepresentation
bin1100110010000011011000…
…1100000101101010100000
31211202112221100201122211210
43030200312030011222200
53320230134241143404
645520200545310120
72650241160032103
oct314406614055240
954675840648753
1014054042131104
114529316438658
1216ab926335340
137ac3a1276c11
1436830d95c73a
151958a058b689
hexcc836305aa0

14054042131104 has 48 divisors (see below), whose sum is σ = 38495854539072. Its totient is φ = 4480998939648.

The previous prime is 14054042131099. The next prime is 14054042131123. The reversal of 14054042131104 is 40113124045041.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×140540421311042 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3182525449 + ... + 3182529864.

It is an arithmetic number, because the mean of its divisors is an integer number (801996969564).

Almost surely, 214054042131104 is an apocalyptic number.

It is an amenable number.

14054042131104 is an abundant number, since it is smaller than the sum of its proper divisors (24441812407968).

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

14054042131104 is a wasteful number, since it uses less digits than its factorization.

14054042131104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6365055349 (or 6365055341 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 14054042131104 its reverse (40113124045041), we get a palindrome (54167166176145).

The spelling of 14054042131104 in words is "fourteen trillion, fifty-four billion, forty-two million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 6365055313 12730110626 19095165939 25460221252 38190331878 50920442504 76380663756 101840885008 146396272199 152761327512 203681770016 292792544398 305522655024 439188816597 585585088796 611045310048 878377633194 1171170177592 1756755266388 2342340355184 3513510532776 4684680710368 7027021065552 14054042131104