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214313334024 = 23328131778371
BaseRepresentation
bin1100011110011000010…
…0011111010100001000
3202111011212100101112210
43013212010133110020
512002403203142044
6242242034305120
721324612165546
oct3074604372410
9674155311483
10214313334024
1182987320979
12356511281a0
13172958170aa
14a53103cd96
155894d4c1b9
hex31e611f508

214313334024 has 32 divisors (see below), whose sum is σ = 537690054240. Its totient is φ = 71183548800.

The previous prime is 214313334023. The next prime is 214313334047. The reversal of 214313334024 is 420433313412.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 214313333982 and 214313334000.

It is not an unprimeable number, because it can be changed into a prime (214313334023) by changing a digit.

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, 15882442 + ... + 15895929.

It is an arithmetic number, because the mean of its divisors is an integer number (16802814195).

Almost surely, 2214313334024 is an apocalyptic number.

214313334024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214313334024 is an abundant number, since it is smaller than the sum of its proper divisors (323376720216).

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

214313334024 is a wasteful number, since it uses less digits than its factorization.

214313334024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31778661 (or 31778657 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 214313334024 its reverse (420433313412), we get a palindrome (634746647436).

The spelling of 214313334024 in words is "two hundred fourteen billion, three hundred thirteen million, three hundred thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 281 562 843 1124 1686 2248 3372 6744 31778371 63556742 95335113 127113484 190670226 254226968 381340452 762680904 8929722251 17859444502 26789166753 35718889004 53578333506 71437778008 107156667012 214313334024