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131331452144440 = 23573393111441497
BaseRepresentation
bin11101110111000111111100…
…100011011000101100111000
3122020000011102201010020001111
4131313013330203120230320
5114203213303222110230
61143152500342130104
736443245546203232
oct3567077443305470
9566004381106044
10131331452144440
11389343a0a28019
1212890ab9720934
13583866c84c682
142460694999252
15102b37483c92a
hex7771fc8d8b38

131331452144440 has 64 divisors (see below), whose sum is σ = 299619881105760. Its totient is φ = 51799771330560.

The previous prime is 131331452144393. The next prime is 131331452144449. The reversal of 131331452144440 is 44441254133131.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 131331452144393 and 131331452144402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131331452144449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5757772 + ... + 17199268.

Almost surely, 2131331452144440 is an apocalyptic number.

131331452144440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131331452144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149809940552880).

131331452144440 is an abundant number, since it is smaller than the sum of its proper divisors (168288428961320).

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

131331452144440 is a wasteful number, since it uses less digits than its factorization.

131331452144440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11445512 (or 11445508 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 131331452144440 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, four hundred fifty-two million, one hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 3931 7862 15724 19655 31448 39310 78620 157240 286963 573926 1147852 1434815 2295704 2869630 5739260 11441497 11478520 22882994 45765988 57207485 91531976 114414970 228829940 457659880 835229281 1670458562 3340917124 4176146405 6681834248 8352292810 16704585620 33409171240 44976524707 89953049414 179906098828 224882623535 359812197656 449765247070 899530494140 1799060988280 3283286303611 6566572607222 13133145214444 16416431518055 26266290428888 32832863036110 65665726072220 131331452144440