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131410431144 = 233215491178273
BaseRepresentation
bin111101001100010101…
…1000000110010101000
3110120012012220120102100
41322120223000302220
54123112032244034
6140211421333400
712331321143336
oct1723053006250
9416165816370
10131410431144
1150804842a03
1221575107260
13c513166185
146508934b56
153641ab9099
hex1e98ac0ca8

131410431144 has 48 divisors (see below), whose sum is σ = 356133316500. Its totient is φ = 43775161344.

The previous prime is 131410431109. The next prime is 131410431151. The reversal of 131410431144 is 441134014131.

131410431144 is a `hidden beast` number, since 131 + 410 + 4 + 3 + 114 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 125218315044 + 6192116100 = 353862^2 + 78690^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 477609 + ... + 700664.

Almost surely, 2131410431144 is an apocalyptic number.

It is an amenable number.

131410431144 is an abundant number, since it is smaller than the sum of its proper divisors (224722885356).

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

131410431144 is a wasteful number, since it uses less digits than its factorization.

131410431144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179834 (or 1179827 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 131410431144 its reverse (441134014131), we get a palindrome (572544445275).

The spelling of 131410431144 in words is "one hundred thirty-one billion, four hundred ten million, four hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1549 3098 4647 6196 9294 12392 13941 18588 27882 37176 55764 111528 1178273 2356546 3534819 4713092 7069638 9426184 10604457 14139276 21208914 28278552 42417828 84835656 1825144877 3650289754 5475434631 7300579508 10950869262 14601159016 16426303893 21901738524 32852607786 43803477048 65705215572 131410431144