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131440741761 = 3734747937657
BaseRepresentation
bin111101001101001111…
…0101000110110000001
3110120021022221111202210
41322122132220312001
54123142312214021
6140214423132333
712332136604440
oct1723236506601
9416238844683
10131440741761
115081a9657aa
12215832a40a9
13c519519654
14650c984d57
1536445a4e76
hex1e9a7a8d81

131440741761 has 32 divisors (see below), whose sum is σ = 201292554240. Its totient is φ = 74734206336.

The previous prime is 131440741753. The next prime is 131440741781. The reversal of 131440741761 is 167147044131.

It is not a de Polignac number, because 131440741761 - 23 = 131440741753 is a prime.

It is a super-2 number, since 2×1314407417612 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131440741781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3471645 + ... + 3509301.

It is an arithmetic number, because the mean of its divisors is an integer number (6290392320).

Almost surely, 2131440741761 is an apocalyptic number.

It is an amenable number.

131440741761 is a deficient number, since it is larger than the sum of its proper divisors (69851812479).

131440741761 is a wasteful number, since it uses less digits than its factorization.

131440741761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38493.

The product of its (nonzero) digits is 56448, while the sum is 39.

Adding to 131440741761 its reverse (167147044131), we get a palindrome (298587785892).

The spelling of 131440741761 in words is "one hundred thirty-one billion, four hundred forty million, seven hundred forty-one thousand, seven hundred sixty-one".

Divisors: 1 3 7 21 347 479 1041 1437 2429 3353 7287 10059 37657 112971 166213 263599 498639 790797 1163491 3490473 13066979 18037703 39200937 54113109 91468853 126263921 274406559 378791763 6259082941 18777248823 43813580587 131440741761