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31431746000 = 245315715873
BaseRepresentation
bin11101010001011110…
…100110000111010000
310000010112101010122202
4131101132212013100
51003333011333000
622234535222332
72161623301304
oct352136460720
9100115333582
1031431746000
111236a445a96
1261125179a8
132c6bbaa495
141742661d04
15c3e68edd5
hex7517a61d0

31431746000 has 40 divisors (see below), whose sum is σ = 76001966664. Its totient is φ = 12572697600.

The previous prime is 31431745997. The next prime is 31431746023. The reversal of 31431746000 is 64713413.

It can be written as a sum of positive squares in 4 ways, for example, as 108409744 + 31323336256 = 10412^2 + 176984^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7855937 + ... + 7859936.

Almost surely, 231431746000 is an apocalyptic number.

It is an amenable number.

31431746000 is an abundant number, since it is smaller than the sum of its proper divisors (44570220664).

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

31431746000 is a wasteful number, since it uses less digits than its factorization.

31431746000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15715896 (or 15715880 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The spelling of 31431746000 in words is "thirty-one billion, four hundred thirty-one million, seven hundred forty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 15715873 31431746 62863492 78579365 125726984 157158730 251453968 314317460 392896825 628634920 785793650 1257269840 1571587300 1964484125 3143174600 3928968250 6286349200 7857936500 15715873000 31431746000