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131405325042540 = 223537463712765061
BaseRepresentation
bin11101111000001100101111…
…101110001000001101101100
3122020021020010001000021100110
4131320030233232020031230
5114210421101202330130
61143250434542500020
736451502311366053
oct3570145756101554
9566236101007313
10131405325042540
113896275a29081a
12128a3295594610
1358426134760b3
1424640a1abb39a
15102d249e68ab0
hex77832fb8836c

131405325042540 has 96 divisors (see below), whose sum is σ = 377960618637504. Its totient is φ = 34086999260160.

The previous prime is 131405325042533. The next prime is 131405325042559. The reversal of 131405325042540 is 45240523504131.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3911610 + ... + 16676670.

It is an arithmetic number, because the mean of its divisors is an integer number (3937089777474).

Almost surely, 2131405325042540 is an apocalyptic number.

131405325042540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131405325042540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188980309318752).

131405325042540 is an abundant number, since it is smaller than the sum of its proper divisors (246555293594964).

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

131405325042540 is a wasteful number, since it uses less digits than its factorization.

131405325042540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12769747 (or 12769745 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

Adding to 131405325042540 its reverse (45240523504131), we get a palindrome (176645848546671).

The spelling of 131405325042540 in words is "one hundred thirty-one trillion, four hundred five billion, three hundred twenty-five million, forty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 4637 9274 13911 18548 23185 27822 46370 55644 69555 92740 139110 171569 278220 343138 514707 686276 857845 1029414 1715690 2058828 2573535 3431380 5147070 10294140 12765061 25530122 38295183 51060244 63825305 76590366 127650610 153180732 191475915 255301220 382951830 472307257 765903660 944614514 1416921771 1889229028 2361536285 2833843542 4723072570 5667687084 7084608855 9446145140 14169217710 28338435420 59191587857 118383175714 177574763571 236766351428 295957939285 355149527142 591915878570 710299054284 887873817855 1183831757140 1775747635710 2190088750709 3551495271420 4380177501418 6570266252127 8760355002836 10950443753545 13140532504254 21900887507090 26281065008508 32851331260635 43801775014180 65702662521270 131405325042540