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131575071444 = 22337417227811
BaseRepresentation
bin111101010001001111…
…1000100001011010100
3110120121200201011110020
41322202133010023110
54123431204241234
6140240022225140
712335360440245
oct1724237041324
9416550634406
10131575071444
1150889774673
12216002851b0
13c53b2bca7b
146522750ccc
15365128b549
hex1ea27c42d4

131575071444 has 48 divisors (see below), whose sum is σ = 322996462656. Its totient is φ = 41632185600.

The previous prime is 131575071437. The next prime is 131575071457. The reversal of 131575071444 is 444170575131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131575071396 and 131575071405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3595702 + ... + 3632109.

It is an arithmetic number, because the mean of its divisors is an integer number (6729092972).

Almost surely, 2131575071444 is an apocalyptic number.

It is an amenable number.

131575071444 is an abundant number, since it is smaller than the sum of its proper divisors (191421391212).

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

131575071444 is a wasteful number, since it uses less digits than its factorization.

131575071444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7227896 (or 7227894 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 131575071444 in words is "one hundred thirty-one billion, five hundred seventy-five million, seventy-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 37 41 74 82 111 123 148 164 222 246 444 492 1517 3034 4551 6068 9102 18204 7227811 14455622 21683433 28911244 43366866 86733732 267429007 296340251 534858014 592680502 802287021 889020753 1069716028 1185361004 1604574042 1778041506 3209148084 3556083012 10964589287 21929178574 32893767861 43858357148 65787535722 131575071444