Search a number
-
+
131404103100240 = 2435547517096251
BaseRepresentation
bin11101111000001011100110…
…111000110010011101010000
3122020021002221212201011122020
4131320023212320302131100
5114210411100343201430
61143250113412211440
736451430113142055
oct3570134670623520
9566232855634566
10131404103100240
1138962192558453
12128a2bb4309b80
13584247a26b409
142463dc76b902c
15102d1c7a46b10
hex7782e6e32750

131404103100240 has 40 divisors (see below), whose sum is σ = 407352719611488. Its totient is φ = 35041094160000.

The previous prime is 131404103100239. The next prime is 131404103100323. The reversal of 131404103100240 is 42001301404131.

131404103100240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131404103100240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273758547886 + ... + 273758548365.

Almost surely, 2131404103100240 is an apocalyptic number.

131404103100240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131404103100240 is an abundant number, since it is smaller than the sum of its proper divisors (275948616511248).

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

131404103100240 is a wasteful number, since it uses less digits than its factorization.

131404103100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547517096267 (or 547517096261 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131404103100240 its reverse (42001301404131), we get a palindrome (173405404504371).

The spelling of 131404103100240 in words is "one hundred thirty-one trillion, four hundred four billion, one hundred three million, one hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 547517096251 1095034192502 1642551288753 2190068385004 2737585481255 3285102577506 4380136770008 5475170962510 6570205155012 8212756443765 8760273540016 10950341925020 13140410310024 16425512887530 21900683850040 26280820620048 32851025775060 43801367700080 65702051550120 131404103100240