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131409431769 = 37111499379501
BaseRepresentation
bin111101001100010011…
…1001100110011011001
3110120012011000210112110
41322120213030303121
54123111303304034
6140211344102533
712331306511610
oct1723047146331
9416164023473
10131409431769
1150804220080
1221574904a49
13c512ba6325
146508754877
15364196cde9
hex1e989cccd9

131409431769 has 32 divisors (see below), whose sum is σ = 218593152000. Its totient is φ = 68218920000.

The previous prime is 131409431761. The next prime is 131409431789. The reversal of 131409431769 is 967134904131.

It is not a de Polignac number, because 131409431769 - 23 = 131409431761 is a prime.

It is a super-2 number, since 2×1314094317692 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131409431761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156519 + ... + 536019.

It is an arithmetic number, because the mean of its divisors is an integer number (6831036000).

Almost surely, 2131409431769 is an apocalyptic number.

It is an amenable number.

131409431769 is a deficient number, since it is larger than the sum of its proper divisors (87183720231).

131409431769 is a wasteful number, since it uses less digits than its factorization.

131409431769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381021.

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 131409431769 in words is "one hundred thirty-one billion, four hundred nine million, four hundred thirty-one thousand, seven hundred sixty-nine".

Divisors: 1 3 7 11 21 33 77 231 1499 4497 10493 16489 31479 49467 115423 346269 379501 1138503 2656507 4174511 7969521 12523533 29221577 87664731 568871999 1706615997 3982103993 6257591989 11946311979 18772775967 43803143923 131409431769