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311394132729 = 34620032
BaseRepresentation
bin1001000100000001000…
…10010110001011111001
31002202202120222221110000
410202000202112023321
520100213344221404
6355015200543213
731332431312241
oct4420042261371
91082676887400
10311394132729
11110074962919
1250425321b09
13234975c2094
14111004cab21
158177b53339
hex48808962f9

311394132729 has 15 divisors (see below), whose sum is σ = 465176515573. Its totient is φ = 207592740324.

The previous prime is 311394132697. The next prime is 311394132761. The reversal of 311394132729 is 927231493113.

The square root of 311394132729 is 558027.

It is a perfect power (a square), and thus also a powerful number.

311394132729 is a `hidden beast` number, since 31 + 139 + 413 + 2 + 72 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (311394132697) and next prime (311394132761).

It is not a de Polignac number, because 311394132729 - 25 = 311394132697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311394132779) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4991242 + ... + 5053244.

Almost surely, 2311394132729 is an apocalyptic number.

311394132729 is the 558027-th square number.

311394132729 is the 279014-th centered octagonal number.

It is an amenable number.

311394132729 is a deficient number, since it is larger than the sum of its proper divisors (153782382844).

311394132729 is an frugal number, since it uses more digits than its factorization.

311394132729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124018 (or 62006 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The spelling of 311394132729 in words is "three hundred eleven billion, three hundred ninety-four million, one hundred thirty-two thousand, seven hundred twenty-nine".

Divisors: 1 3 9 27 81 62003 186009 558027 1674081 5022243 3844372009 11533116027 34599348081 103798044243 311394132729