Search a number
-
+
131044251130032 = 2437451366405659
BaseRepresentation
bin11101110010111100011110…
…000010011101100010110000
3122011222201010011202000211210
4131302330132002131202300
5114134012111242130112
61142412521535440120
736413430463644432
oct3562743602354260
9564881104660753
10131044251130032
11388336114a0069
1212845306686040
13581755c571826
14245080b618652
151023b65b25b3c
hex772f1e09d8b0

131044251130032 has 40 divisors (see below), whose sum is σ = 338576417311680. Its totient is φ = 43675554433600.

The previous prime is 131044251129971. The next prime is 131044251130043. The reversal of 131044251130032 is 230031152440131.

131044251130032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 182845182 + ... + 183560477.

It is an arithmetic number, because the mean of its divisors is an integer number (8464410432792).

Almost surely, 2131044251130032 is an apocalyptic number.

131044251130032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131044251130032 is an abundant number, since it is smaller than the sum of its proper divisors (207532166181648).

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

131044251130032 is a wasteful number, since it uses less digits than its factorization.

131044251130032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366413121 (or 366413115 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 131044251130032 in words is "one hundred thirty-one trillion, forty-four billion, two hundred fifty-one million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 7451 14902 22353 29804 44706 59608 89412 119216 178824 357648 366405659 732811318 1099216977 1465622636 2198433954 2931245272 4396867908 5862490544 8793735816 17587471632 2730088565209 5460177130418 8190265695627 10920354260836 16380531391254 21840708521672 32761062782508 43681417043344 65522125565016 131044251130032