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131344314134304 = 2534667929310181
BaseRepresentation
bin11101110111010011111011…
…001011111110111100100000
3122020001101122002020000012110
4131313103323023332330200
5114203421123404244204
61143202424523155320
736444212355256035
oct3567237313767440
9566041562200173
10131344314134304
11389398a120a407
12128934a9075b40
13583993c45c96b
142461154c7b38c
15102b878acc889
hex7774fb2fef20

131344314134304 has 48 divisors (see below), whose sum is σ = 344786222531520. Its totient is φ = 43780498625280.

The previous prime is 131344314134263. The next prime is 131344314134311. The reversal of 131344314134304 is 403431413443131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10173907 + ... + 19136274.

It is an arithmetic number, because the mean of its divisors is an integer number (7183046302740).

Almost surely, 2131344314134304 is an apocalyptic number.

It is an amenable number.

131344314134304 is an abundant number, since it is smaller than the sum of its proper divisors (213441908397216).

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

131344314134304 is a wasteful number, since it uses less digits than its factorization.

131344314134304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29356873 (or 29356865 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

Adding to 131344314134304 its reverse (403431413443131), we get a palindrome (534775727577435).

The spelling of 131344314134304 in words is "one hundred thirty-one trillion, three hundred forty-four billion, three hundred fourteen million, one hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 46679 93358 140037 186716 280074 373432 560148 746864 1120296 1493728 2240592 4481184 29310181 58620362 87930543 117240724 175861086 234481448 351722172 468962896 703444344 937925792 1406888688 2813777376 1368169938899 2736339877798 4104509816697 5472679755596 8209019633394 10945359511192 16418039266788 21890719022384 32836078533576 43781438044768 65672157067152 131344314134304