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23046429141 = 329726399117
BaseRepresentation
bin10101011101101011…
…001001100111010101
32012111010220220101200
4111131223021213111
5334144341213031
614330512543113
71444053262341
oct253553114725
965433826350
1023046429141
11985712135a
124572251a99
132233897128
141188b36621
158ed4318e6
hex55dac99d5

23046429141 has 12 divisors (see below), whose sum is σ = 33632476332. Its totient is φ = 15205890816.

The previous prime is 23046429127. The next prime is 23046429149. The reversal of 23046429141 is 14192464032.

23046429141 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 642 + 9 + 1 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11018700900 + 12027728241 = 104970^2 + 109671^2 .

It is not a de Polignac number, because 23046429141 - 213 = 23046420949 is a prime.

It is a super-2 number, since 2×230464291412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23046429096 and 23046429105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23046429149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13198686 + ... + 13200431.

It is an arithmetic number, because the mean of its divisors is an integer number (2802706361).

Almost surely, 223046429141 is an apocalyptic number.

It is an amenable number.

23046429141 is a deficient number, since it is larger than the sum of its proper divisors (10586047191).

23046429141 is a wasteful number, since it uses less digits than its factorization.

23046429141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26399220 (or 26399217 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 23046429141 in words is "twenty-three billion, forty-six million, four hundred twenty-nine thousand, one hundred forty-one".

Divisors: 1 3 9 97 291 873 26399117 79197351 237592053 2560714349 7682143047 23046429141