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131404503433041 = 36239375325153
BaseRepresentation
bin11101111000001011111110…
…101111111011111101010001
3122020021010222210000012000000
4131320023332233323331101
5114210412410334324131
61143250221232520213
736451443044001066
oct3570137657737521
9566233883005000
10131404503433041
1138962378530403
12128a30a63b0069
135842512198327
142464024928c6d
15102d1ecc73ce6
hex7782febfbf51

131404503433041 has 28 divisors (see below), whose sum is σ = 197098961612868. Its totient is φ = 87566393101824.

The previous prime is 131404503433039. The next prime is 131404503433067. The reversal of 131404503433041 is 140334305404131.

131404503433041 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 0 + 4 + 5 + 0 + 343 + 304 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32218440424641 + 99186063008400 = 5676129^2 + 9959220^2 .

It is not a de Polignac number, because 131404503433041 - 21 = 131404503433039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131404503432987 and 131404503433005.

It is not an unprimeable number, because it can be changed into a prime (131404503433141) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 35918080 + ... + 39407073.

It is an arithmetic number, because the mean of its divisors is an integer number (7039248629031).

Almost surely, 2131404503433041 is an apocalyptic number.

It is an amenable number.

131404503433041 is a deficient number, since it is larger than the sum of its proper divisors (65694458179827).

131404503433041 is an frugal number, since it uses more digits than its factorization.

131404503433041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75327564 (or 75327549 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 131404503433041 its reverse (140334305404131), we get a palindrome (271738808837172).

The spelling of 131404503433041 in words is "one hundred thirty-one trillion, four hundred four billion, five hundred three million, four hundred thirty-three thousand, forty-one".

Divisors: 1 3 9 27 81 243 729 2393 7179 21537 64611 193833 581499 1744497 75325153 225975459 677926377 2033779131 6101337393 18304012179 54912036537 180253091129 540759273387 1622277820161 4866833460483 14600500381449 43801501144347 131404503433041