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131242244230400 = 285220506600661
BaseRepresentation
bin11101110101110100110111…
…010110001100110100000000
3122012200122011122200122121012
4131311310313112030310000
5114200233104010333100
61143043504335020052
736433640105352212
oct3565646726146400
9565618148618535
10131242244230400
11388aa583431926
121287776206a628
135830123b6c014
14245a230d665b2
151028da2cc3135
hex775d3758cd00

131242244230400 has 54 divisors (see below), whose sum is σ = 324845061086742. Its totient is φ = 52496897689600.

The previous prime is 131242244230291. The next prime is 131242244230519. The reversal of 131242244230400 is 4032442242131.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 16306348524544 + 114935895705856 = 4038112^2 + 10720816^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10253293931 + ... + 10253306730.

Almost surely, 2131242244230400 is an apocalyptic number.

131242244230400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131242244230400 is an abundant number, since it is smaller than the sum of its proper divisors (193602816856342).

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

131242244230400 is an equidigital number, since it uses as much as digits as its factorization.

131242244230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20506600687 (or 20506600668 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 131242244230400 its reverse (4032442242131), we get a palindrome (135274686472531).

The spelling of 131242244230400 in words is "one hundred thirty-one trillion, two hundred forty-two billion, two hundred forty-four million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 20506600661 41013201322 82026402644 102533003305 164052805288 205066006610 328105610576 410132013220 512665016525 656211221152 820264026440 1025330033050 1312422442304 1640528052880 2050660066100 2624844884608 3281056105760 4101320132200 5249689769216 6562112211520 8202640264400 13124224423040 16405280528800 26248448846080 32810561057600 65621122115200 131242244230400