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232143264152136 = 23323224212002113
BaseRepresentation
bin110100110010001000010000…
…110010111111101001001000
31010102221200100012221122201100
4310302020100302333221020
5220411413401110332021
62141421050541421400
766616540331510661
oct6462102062775110
91112850305848640
10232143264152136
1167a71450719117
1222052b0556a860
139c6c028b64b3c
144147b187b6368
151bc88a43d8626
hexd32210cbfa48

232143264152136 has 24 divisors (see below), whose sum is σ = 628721340412230. Its totient is φ = 77381088050688.

The previous prime is 232143264152101. The next prime is 232143264152147. The reversal of 232143264152136 is 631251462341232.

232143264152136 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 4 + 32 + 64 + 1 + 521 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 131640513840900 + 100502750311236 = 11473470^2 + 10025106^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×2321432641521363 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232143264152091 and 232143264152100.

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, 1612106000985 + ... + 1612106001128.

Almost surely, 2232143264152136 is an apocalyptic number.

It is an amenable number.

232143264152136 is an abundant number, since it is smaller than the sum of its proper divisors (396578076260094).

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

232143264152136 is a wasteful number, since it uses less digits than its factorization.

232143264152136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224212002125 (or 3224212002118 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 232143264152136 in words is "two hundred thirty-two trillion, one hundred forty-three billion, two hundred sixty-four million, one hundred fifty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3224212002113 6448424004226 9672636006339 12896848008452 19345272012678 25793696016904 29017908019017 38690544025356 58035816038034 77381088050712 116071632076068 232143264152136