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231344020443132 = 223255711537204291
BaseRepresentation
bin110100100110011111111010…
…001010001100111111111100
31010100010021100112220110221100
4310212133322022030333330
5220310320023213140012
62140005550435133100
766505024330205652
oct6446377212147774
91110107315813840
10231344020443132
11677934a2461003
1221b44030444190
139c118557a653c
14411b178a7cdd2
151bb2bc76d78dc
hexd267fa28cffc

231344020443132 has 36 divisors (see below), whose sum is σ = 585836159539176. Its totient is φ = 76976227022880.

The previous prime is 231344020443121. The next prime is 231344020443161.

231344020443132 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 440 + 204 + 4 + 3 + 1 + 3 + 2 = 666.

231344020443132 is nontrivially palindromic in base 10.

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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5768582094 + ... + 5768622197.

It is an arithmetic number, because the mean of its divisors is an integer number (16273226653866).

Almost surely, 2231344020443132 is an apocalyptic number.

It is an amenable number.

231344020443132 is an abundant number, since it is smaller than the sum of its proper divisors (354492139096044).

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

231344020443132 is a wasteful number, since it uses less digits than its factorization.

231344020443132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11537204858 (or 11537204853 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 231344020443132 in words is "two hundred thirty-one trillion, three hundred forty-four billion, twenty million, four hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 557 1114 1671 2228 3342 5013 6684 10026 20052 11537204291 23074408582 34611612873 46148817164 69223225746 103834838619 138446451492 207669677238 415339354476 6426222790087 12852445580174 19278668370261 25704891160348 38557336740522 57836005110783 77114673481044 115672010221566 231344020443132