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131423443513440 = 25351321061449281
BaseRepresentation
bin11101111000011101100111…
…101010100111000001100000
3122020022221212202002221220020
4131320131213222213001200
5114211220203014412230
61143303032500313440
736453013306013301
oct3570354752470140
9566287782087806
10131423443513440
113896a407730111
12128a68b13a2880
1358442400b65b0
142464d001467a8
15102d95a924810
hex778767aa7060

131423443513440 has 96 divisors (see below), whose sum is σ = 445828758401376. Its totient is φ = 32350386094080.

The previous prime is 131423443513429. The next prime is 131423443513463. The reversal of 131423443513440 is 44315344324131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1314234435134402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131423443513392 and 131423443513401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10530718401 + ... + 10530730880.

It is an arithmetic number, because the mean of its divisors is an integer number (4644049566681).

Almost surely, 2131423443513440 is an apocalyptic number.

131423443513440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131423443513440 is an abundant number, since it is smaller than the sum of its proper divisors (314405314887936).

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

131423443513440 is a wasteful number, since it uses less digits than its factorization.

131423443513440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21061449312 (or 21061449304 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

Adding to 131423443513440 its reverse (44315344324131), we get a palindrome (175738787837571).

The spelling of 131423443513440 in words is "one hundred thirty-one trillion, four hundred twenty-three billion, four hundred forty-three million, five hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 21061449281 42122898562 63184347843 84245797124 105307246405 126368695686 168491594248 210614492810 252737391372 273798840653 315921739215 336983188496 421228985620 505474782744 547597681306 631843478430 673966376992 821396521959 842457971240 1010949565488 1095195362612 1263686956860 1368994203265 1642793043918 1684915942480 2021899130976 2190390725224 2527373913720 2737988406530 3285586087836 3369831884960 4106982609795 4380781450448 5054747827440 5475976813060 6571172175672 8213965219590 8761562900896 10109495654880 10951953626120 13142344351344 16427930439180 21903907252240 26284688702688 32855860878360 43807814504480 65711721756720 131423443513440