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131142332404441 = 1491043818432089
BaseRepresentation
bin11101110100010111110100…
…001000110101001011011001
3122012100002021121222000101201
4131310113310020311023121
5114142113444043420231
61142525542241514201
736423502152012661
oct3564276410651331
9565302247860351
10131142332404441
1138871172850236
1212860319942961
1358238906c2387
1424554738d91a1
1510264a66a4161
hex7745f42352d9

131142332404441 has 8 divisors (see below), whose sum is σ = 132023762757000. Its totient is φ = 130260919125120.

The previous prime is 131142332404411. The next prime is 131142332404507. The reversal of 131142332404441 is 144404233241131.

It can be written as a sum of positive squares in 4 ways, for example, as 33924625515225 + 97217706889216 = 5824485^2 + 9859904^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131142332404441 - 27 = 131142332404313 is a prime.

It is a super-2 number, since 2×1311423324044412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131142332404441.

It is not an unprimeable number, because it can be changed into a prime (131142332404411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11336725 + ... + 19768813.

It is an arithmetic number, because the mean of its divisors is an integer number (16502970344625).

Almost surely, 2131142332404441 is an apocalyptic number.

It is an amenable number.

131142332404441 is a deficient number, since it is larger than the sum of its proper divisors (881430352559).

131142332404441 is a wasteful number, since it uses less digits than its factorization.

131142332404441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8536619.

The product of its (nonzero) digits is 110592, while the sum is 37.

Adding to 131142332404441 its reverse (144404233241131), we get a palindrome (275546565645572).

The spelling of 131142332404441 in words is "one hundred thirty-one trillion, one hundred forty-two billion, three hundred thirty-two million, four hundred four thousand, four hundred forty-one".

Divisors: 1 149 104381 8432089 15552769 1256381261 880149881909 131142332404441