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131142103310040 = 23351092850860917
BaseRepresentation
bin11101110100010111100110…
…011110111001111011011000
3122012100001200122212210221220
4131310113212132321323120
5114142113011421410130
61142525503415332040
736423463400521164
oct3564274636717330
9565301618783856
10131142103310040
11388710654a6219
1212860275081020
1358238550bc364
142455451301ca4
1510264914ee410
hex7745e67b9ed8

131142103310040 has 32 divisors (see below), whose sum is σ = 393426309930480. Its totient is φ = 34971227549312.

The previous prime is 131142103309979. The next prime is 131142103310089. The reversal of 131142103310040 is 40013301241131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 546425430339 + ... + 546425430578.

Almost surely, 2131142103310040 is an apocalyptic number.

131142103310040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131142103310040 is an abundant number, since it is smaller than the sum of its proper divisors (262284206620440).

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

131142103310040 is a wasteful number, since it uses less digits than its factorization.

131142103310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092850860931 (or 1092850860927 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131142103310040 its reverse (40013301241131), we get a palindrome (171155404551171).

The spelling of 131142103310040 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred three million, three hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1092850860917 2185701721834 3278552582751 4371403443668 5464254304585 6557105165502 8742806887336 10928508609170 13114210331004 16392762913755 21857017218340 26228420662008 32785525827510 43714034436680 65571051655020 131142103310040