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214114551264 = 2532743453303
BaseRepresentation
bin1100011101101000111…
…0001100010111100000
3202110200000022011212100
43013122032030113200
512002001311120024
6242210213530400
721316646441145
oct3073216142740
9673600264770
10214114551264
118289509a4a9
12355b6643a00
1317263597b63
14a5128963cc
1558826837c9
hex31da38c5e0

214114551264 has 36 divisors (see below), whose sum is σ = 608888255976. Its totient is φ = 71371516992.

The previous prime is 214114551241. The next prime is 214114551283. The reversal of 214114551264 is 462155411412.

214114551264 is a `hidden beast` number, since 2 + 1 + 41 + 1 + 4 + 551 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 371726364 + ... + 371726939.

It is an arithmetic number, because the mean of its divisors is an integer number (16913562666).

Almost surely, 2214114551264 is an apocalyptic number.

214114551264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214114551264 is an abundant number, since it is smaller than the sum of its proper divisors (394773704712).

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

214114551264 is a wasteful number, since it uses less digits than its factorization.

214114551264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743453319 (or 743453308 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

Adding to 214114551264 its reverse (462155411412), we get a palindrome (676269962676).

The spelling of 214114551264 in words is "two hundred fourteen billion, one hundred fourteen million, five hundred fifty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 743453303 1486906606 2230359909 2973813212 4460719818 5947626424 6691079727 8921439636 11895252848 13382159454 17842879272 23790505696 26764318908 35685758544 53528637816 71371517088 107057275632 214114551264