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131133452041441 = 557862932728241
BaseRepresentation
bin11101110100001111100010…
…110100111011110011100001
3122012022020100201222211111101
4131310033202310323303201
5114141442302210311231
61142521513132514401
736423036121121563
oct3564174264736341
9565266321884441
10131133452041441
1138868426043063
121285a65b91ba01
135822aa696ca05
142454c70347333
151026136c5a661
hex7743e2d3bce1

131133452041441 has 8 divisors (see below), whose sum is σ = 131370450652584. Its totient is φ = 130896459060480.

The previous prime is 131133452041433. The next prime is 131133452041513. The reversal of 131133452041441 is 144140254331131.

It can be written as a sum of positive squares in 4 ways, for example, as 33333630625 + 131100118410816 = 182575^2 + 11449896^2 .

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 131133452041441 - 23 = 131133452041433 is a prime.

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 131133452041441.

It is not an unprimeable number, because it can be changed into a prime (131133452041741) 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, 46701081 + ... + 49429321.

It is an arithmetic number, because the mean of its divisors is an integer number (16421306331573).

Almost surely, 2131133452041441 is an apocalyptic number.

It is an amenable number.

131133452041441 is a deficient number, since it is larger than the sum of its proper divisors (236998611143).

131133452041441 is an equidigital number, since it uses as much as digits as its factorization.

131133452041441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815091.

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 131133452041441 in words is "one hundred thirty-one trillion, one hundred thirty-three billion, four hundred fifty-two million, forty-one thousand, four hundred forty-one".

Divisors: 1 557 86293 2728241 48065201 1519630237 235428100613 131133452041441