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314332000031 = 7239831986137
BaseRepresentation
bin1001001001011111010…
…01011010111100011111
31010001100100010001202002
410210233221122330133
520122222443000111
6400222505352515
731465303626110
oct4445751327437
91101310101662
10314332000031
11111342246025
1250b0519873b
13238451609ba
14112dc75c207
15829aa2263b
hex492fa5af1f

314332000031 has 16 divisors (see below), whose sum is σ = 375237080064. Its totient is φ = 257450892864.

The previous prime is 314331999997. The next prime is 314332000043. The reversal of 314332000031 is 130000233413.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314332000031 is a prime.

It is a super-2 number, since 2×3143320000312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314331999967 and 314332000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314332000061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 834806 + ... + 1151331.

It is an arithmetic number, because the mean of its divisors is an integer number (23452317504).

Almost surely, 2314332000031 is an apocalyptic number.

314332000031 is a deficient number, since it is larger than the sum of its proper divisors (60905080033).

314332000031 is a wasteful number, since it uses less digits than its factorization.

314332000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987150.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 314332000031 its reverse (130000233413), we get a palindrome (444332233444).

The spelling of 314332000031 in words is "three hundred fourteen billion, three hundred thirty-two million, thirty-one", and thus it is an aban number.

Divisors: 1 7 23 161 983 6881 22609 158263 1986137 13902959 45681151 319768057 1952372671 13666608697 44904571433 314332000031