Search a number
-
+
233012545423344 = 24321985165404029
BaseRepresentation
bin110100111110110001110101…
…111111111000011111110000
31010120000210002221000122000200
4310332301311333320133300
5221020134143112021334
62143324252520115200
7100036413044425311
oct6476616577703760
91116023087018020
10233012545423344
116827707a2a3345
1222173486005b00
13a002cb138cb3b
144177c20102608
151be12ceb69799
hexd3ec75ff87f0

233012545423344 has 60 divisors (see below), whose sum is σ = 686433156481800. Its totient is φ = 73582909080192.

The previous prime is 233012545423309. The next prime is 233012545423397. The reversal of 233012545423344 is 443324545210332.

233012545423344 is a `hidden beast` number, since 2 + 3 + 3 + 0 + 1 + 254 + 54 + 2 + 3 + 344 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 233012545423344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42582699279 + ... + 42582704750.

It is an arithmetic number, because the mean of its divisors is an integer number (11440552608030).

Almost surely, 2233012545423344 is an apocalyptic number.

233012545423344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

233012545423344 is an abundant number, since it is smaller than the sum of its proper divisors (453420611058456).

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

233012545423344 is a wasteful number, since it uses less digits than its factorization.

233012545423344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85165404062 (or 85165404053 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 45.

The spelling of 233012545423344 in words is "two hundred thirty-three trillion, twelve billion, five hundred forty-five million, four hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 85165404029 170330808058 255496212087 340661616116 510992424174 681323232232 766488636261 1021984848348 1362646464464 1532977272522 1618142676551 2043969696696 3065954545044 3236285353102 4087939393392 4854428029653 6131909090088 6472570706204 9708856059306 12263818180176 12945141412408 14563284088959 19417712118612 25890282824816 29126568177918 38835424237224 58253136355836 77670848474448 116506272711672 233012545423344