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31444644413 = 7213101488749
BaseRepresentation
bin11101010010001111…
…110011001000111101
310000011102122102221202
4131102033303020331
51003344312110123
622240115505245
72162141032100
oct352217631075
9100142572852
1031444644413
1112376755836
1261168b8225
132c71775390
14174425c737
15c4088ba28
hex7523f323d

31444644413 has 24 divisors (see below), whose sum is σ = 39782295000. Its totient is φ = 24632899200.

The previous prime is 31444644409. The next prime is 31444644421.

31444644413 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 10608588004 + 20836056409 = 102998^2 + 144347^2 .

It is not a de Polignac number, because 31444644413 - 22 = 31444644409 is a prime.

It is a super-2 number, since 2×314446444132 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31444644403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180038 + ... + 308711.

It is an arithmetic number, because the mean of its divisors is an integer number (1657595625).

Almost surely, 231444644413 is an apocalyptic number.

It is an amenable number.

31444644413 is a deficient number, since it is larger than the sum of its proper divisors (8337650587).

31444644413 is a wasteful number, since it uses less digits than its factorization.

31444644413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488877 (or 488870 counting only the distinct ones).

The product of its digits is 221184, while the sum is 38.

The spelling of 31444644413 in words is "thirty-one billion, four hundred forty-four million, six hundred forty-four thousand, four hundred thirteen".

Divisors: 1 7 13 49 91 101 637 707 1313 4949 9191 64337 488749 3421243 6353737 23948701 44476159 49363649 311333113 345545543 641727437 2418818801 4492092059 31444644413