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14116251888 = 2433131249439
BaseRepresentation
bin11010010010110010…
…01110100011110000
31100102210012220012000
431021121032203300
5212402230030023
610252424134000
71006546106214
oct151131164360
940383186160
1014116251888
115a9428aa82
12289b607300
13143c722a8b
1497cad8944
15579448243
hex34964e8f0

14116251888 has 80 divisors (see below), whose sum is σ = 40828339200. Its totient is φ = 4669479360.

The previous prime is 14116251859. The next prime is 14116251889. The reversal of 14116251888 is 88815261141.

14116251888 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 625 + 18 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14116251889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68128 + ... + 181311.

It is an arithmetic number, because the mean of its divisors is an integer number (510354240).

Almost surely, 214116251888 is an apocalyptic number.

14116251888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14116251888 is an abundant number, since it is smaller than the sum of its proper divisors (26712087312).

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

14116251888 is a wasteful number, since it uses less digits than its factorization.

14116251888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249587 (or 249575 counting only the distinct ones).

The product of its digits is 122880, while the sum is 45.

The spelling of 14116251888 in words is "fourteen billion, one hundred sixteen million, two hundred fifty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 131 144 216 262 393 432 524 786 1048 1179 1572 2096 2358 3144 3537 4716 6288 7074 9432 14148 18864 28296 56592 249439 498878 748317 997756 1496634 1995512 2244951 2993268 3991024 4489902 5986536 6734853 8979804 11973072 13469706 17959608 26939412 32676509 35919216 53878824 65353018 98029527 107757648 130706036 196059054 261412072 294088581 392118108 522824144 588177162 784236216 882265743 1176354324 1568472432 1764531486 2352708648 3529062972 4705417296 7058125944 14116251888