Search a number
-
+
131740258930560 = 273457363040837
BaseRepresentation
bin11101111101000100101011…
…010101100000111110000000
3122021110020122011012200110000
4131331010223111200332000
5114231413022241234220
61144104350042240000
736514630266433440
oct3575045325407600
9567406564180400
10131740258930560
1138a81803783155
121293818a1b6000
13586808c8bb757
14247639663a120
151036cee499390
hex77d12b560f80

131740258930560 has 320 divisors, whose sum is σ = 537678002711520. Its totient is φ = 30112059101184.

The previous prime is 131740258930549. The next prime is 131740258930603. The reversal of 131740258930560 is 65039852047131.

It is a happy number.

131740258930560 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 4 + 0 + 2 + 589 + 3 + 0 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 131740258930497 and 131740258930506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 181157539 + ... + 181883298.

It is a 1-persistent number, because it is pandigital, but 2⋅131740258930560 = 263480517861120 is not.

Almost surely, 2131740258930560 is an apocalyptic number.

131740258930560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131740258930560 is an abundant number, since it is smaller than the sum of its proper divisors (405937743780960).

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

131740258930560 is an equidigital number, since it uses as much as digits as its factorization.

131740258930560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363040875 (or 363040854 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 131740258930560 in words is "one hundred thirty-one trillion, seven hundred forty billion, two hundred fifty-eight million, nine hundred thirty thousand, five hundred sixty".