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214375327344 = 24325227284813
BaseRepresentation
bin1100011110100111000…
…0111110011001110000
3202111100011222222101200
43013221300332121300
512003020040433334
6242252131131200
721326264134233
oct3075160763160
9674304888350
10214375327344
1182a09313422
1235669a43b00
13172a5611429
14a53937941a
15589a4e5799
hex31e9c3e670

214375327344 has 60 divisors (see below), whose sum is σ = 600070059576. Its totient is φ = 71444520576.

The previous prime is 214375327321. The next prime is 214375327391. The reversal of 214375327344 is 443723573412.

214375327344 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 7 + 532 + 73 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 214375327344.

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, 610282 + ... + 895094.

Almost surely, 2214375327344 is an apocalyptic number.

214375327344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214375327344 is an abundant number, since it is smaller than the sum of its proper divisors (385694732232).

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

214375327344 is a wasteful number, since it uses less digits than its factorization.

214375327344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290054 (or 290045 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 45.

The spelling of 214375327344 in words is "two hundred fourteen billion, three hundred seventy-five million, three hundred twenty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 5227 10454 15681 20908 31362 41816 47043 62724 83632 94086 125448 188172 250896 284813 376344 569626 752688 854439 1139252 1708878 2278504 2563317 3417756 4557008 5126634 6835512 10253268 13671024 20506536 41013072 1488717551 2977435102 4466152653 5954870204 8932305306 11909740408 13398457959 17864610612 23819480816 26796915918 35729221224 53593831836 71458442448 107187663672 214375327344