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131404040310410 = 25737214932360543
BaseRepresentation
bin11101111000001011100011…
…001001010000111010001010
3122020021002210111120010011222
4131320023203021100322022
5114210410433304413120
61143250103250322042
736451425421345250
oct3570134311207212
9566232714503158
10131404040310410
113896216007152a
12128a2b97289322
13584246a25567a
142463dbd2125d0
15102d1c2292525
hex7782e3250e8a

131404040310410 has 64 divisors (see below), whose sum is σ = 277635779131392. Its totient is φ = 43833112125696.

The previous prime is 131404040310377. The next prime is 131404040310451. The reversal of 131404040310410 is 14013040404131.

It is a happy number.

131404040310410 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 131404040310410.

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, 54486599 + ... + 56847141.

It is an arithmetic number, because the mean of its divisors is an integer number (4338059048928).

Almost surely, 2131404040310410 is an apocalyptic number.

131404040310410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131404040310410 is an abundant number, since it is smaller than the sum of its proper divisors (146231738820982).

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

131404040310410 is a wasteful number, since it uses less digits than its factorization.

131404040310410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382087.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 131404040310410 its reverse (14013040404131), we get a palindrome (145417080714541).

The spelling of 131404040310410 in words is "one hundred thirty-one trillion, four hundred four billion, forty million, three hundred ten thousand, four hundred ten".

Divisors: 1 2 5 7 10 14 35 37 70 74 185 259 370 518 1295 2590 21493 42986 107465 150451 214930 300902 752255 795241 1504510 1590482 2360543 3976205 4721086 5566687 7952410 11133374 11802715 16523801 23605430 27833435 33047602 55666870 82619005 87340091 165238010 174680182 436700455 611380637 873400910 1222761274 3056903185 6113806370 50735150699 101470301398 253675753495 355146054893 507351506990 710292109786 1775730274465 1877200575863 3551460548930 3754401151726 9386002879315 13140404031041 18772005758630 26280808062082 65702020155205 131404040310410