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31464813401 = 721132956681
BaseRepresentation
bin11101010011011100…
…101111001101011001
310000012211121010121022
4131103130233031121
51003414443012101
622242120052225
72162504333600
oct352334571531
9100184533538
1031464813401
111238708101a
126121604075
132c759b76a8
141746bcca37
15c42522a1b
hex75372f359

31464813401 has 12 divisors (see below), whose sum is σ = 36605802420. Its totient is φ = 26966983680.

The previous prime is 31464813389. The next prime is 31464813407. The reversal of 31464813401 is 10431846413.

It can be written as a sum of positive squares in 2 ways, for example, as 13392044176 + 18072769225 = 115724^2 + 134435^2 .

It is not a de Polignac number, because 31464813401 - 26 = 31464813337 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31464813407) 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, 526781 + ... + 583461.

It is an arithmetic number, because the mean of its divisors is an integer number (3050483535).

Almost surely, 231464813401 is an apocalyptic number.

It is an amenable number.

31464813401 is a deficient number, since it is larger than the sum of its proper divisors (5140989019).

31464813401 is a wasteful number, since it uses less digits than its factorization.

31464813401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68024 (or 68017 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 31464813401 in words is "thirty-one billion, four hundred sixty-four million, eight hundred thirteen thousand, four hundred one".

Divisors: 1 7 49 11329 56681 79303 396767 555121 2777369 642139049 4494973343 31464813401