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131403400403232 = 2534729123094061
BaseRepresentation
bin11101111000001010111101…
…000000001101100100100000
3122020021001010220110110120010
4131320022331000031210200
5114210403131000400412
61143245515551044520
736451403521255536
oct3570127500154440
9566231126413503
10131403400403232
1138961961936821
12128a2a38b10740
1358423977c6579
142463d5c23c156
15102d185ee033c
hex7782bd00d920

131403400403232 has 48 divisors (see below), whose sum is σ = 352272945773952. Its totient is φ = 42869194456320.

The previous prime is 131403400403227. The next prime is 131403400403273. The reversal of 131403400403232 is 232304004304131.

It is a happy number.

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

It is a super-2 number, since 2×1314034004032322 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131403400403232.

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, 14561542519 + ... + 14561551542.

It is an arithmetic number, because the mean of its divisors is an integer number (7339019703624).

Almost surely, 2131403400403232 is an apocalyptic number.

131403400403232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131403400403232 is an abundant number, since it is smaller than the sum of its proper divisors (220869545370720).

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

131403400403232 is a wasteful number, since it uses less digits than its factorization.

131403400403232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29123094121 (or 29123094113 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 131403400403232 its reverse (232304004304131), we get a palindrome (363707404707363).

The spelling of 131403400403232 in words is "one hundred thirty-one trillion, four hundred three billion, four hundred million, four hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 29123094061 58246188122 87369282183 116492376244 174738564366 232984752488 349477128732 465969504976 698954257464 931939009952 1368785420867 1397908514928 2737570841734 2795817029856 4106356262601 5475141683468 8212712525202 10950283366936 16425425050404 21900566733872 32850850100808 43801133467744 65701700201616 131403400403232