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131430440114004 = 22391947951248543
BaseRepresentation
bin11101111000100100001000…
…101100100001011101010100
3122020100121221100110002112110
4131320210020230201131110
5114211324020132122004
61143310151033551020
736453351554103543
oct3570441054413524
9566317840402473
10131430440114004
1138972378072729
12128a8124575470
135844ab679c125
1424653a545a15a
15102dc19cbb589
hex778908b21754

131430440114004 has 48 divisors (see below), whose sum is σ = 307012365434880. Its totient is φ = 43761386440800.

The previous prime is 131430440113967. The next prime is 131430440114009. The reversal of 131430440114004 is 400411044034131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131430440114009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528679357 + ... + 528927899.

It is an arithmetic number, because the mean of its divisors is an integer number (6396090946560).

Almost surely, 2131430440114004 is an apocalyptic number.

It is an amenable number.

131430440114004 is an abundant number, since it is smaller than the sum of its proper divisors (175581925320876).

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

131430440114004 is a wasteful number, since it uses less digits than its factorization.

131430440114004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297420 (or 297418 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 131430440114004 its reverse (400411044034131), we get a palindrome (531841484148135).

The spelling of 131430440114004 in words is "one hundred thirty-one trillion, four hundred thirty billion, four hundred forty million, one hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 12 919 1838 2757 3676 5514 11028 47951 95902 143853 191804 248543 287706 497086 575412 745629 994172 1491258 2982516 44066969 88133938 132200907 176267876 228411017 264401814 456822034 528803628 685233051 913644068 1370466102 2740932204 11917885393 23835770786 35753656179 47671541572 71507312358 143014624716 10952536676167 21905073352334 32857610028501 43810146704668 65715220057002 131430440114004