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34231545153 = 3213292577309
BaseRepresentation
bin11111111000010110…
…111110110101000001
310021100122200200001200
4133320112332311001
51030101233421103
623420432451413
72321201222121
oct377026766501
9107318620050
1034231545153
11135768a6593
1267740a9b69
1332c6c67180
14192a432c81
15d5538a0a3
hex7f85bed41

34231545153 has 12 divisors (see below), whose sum is σ = 53249070420. Its totient is φ = 21065566176.

The previous prime is 34231545143. The next prime is 34231545163. The reversal of 34231545153 is 35154513243.

34231545153 is a `hidden beast` number, since 34 + 2 + 31 + 545 + 1 + 53 = 666.

It is an interprime number because it is at equal distance from previous prime (34231545143) and next prime (34231545163).

It can be written as a sum of positive squares in 2 ways, for example, as 7104466944 + 27127078209 = 84288^2 + 164703^2 .

It is not a de Polignac number, because 34231545153 - 214 = 34231528769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34231545133) 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, 146288538 + ... + 146288771.

It is an arithmetic number, because the mean of its divisors is an integer number (4437422535).

Almost surely, 234231545153 is an apocalyptic number.

It is an amenable number.

34231545153 is a deficient number, since it is larger than the sum of its proper divisors (19017525267).

34231545153 is a wasteful number, since it uses less digits than its factorization.

34231545153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292577328 (or 292577325 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The spelling of 34231545153 in words is "thirty-four billion, two hundred thirty-one million, five hundred forty-five thousand, one hundred fifty-three".

Divisors: 1 3 9 13 39 117 292577309 877731927 2633195781 3803505017 11410515051 34231545153