Search a number
-
+
131368158254088 = 23347237197956503
BaseRepresentation
bin11101110111101010001000…
…011010000101010000001000
3122020010200011211010210110000
4131313222020122011100020
5114204313442003112323
61143221410533323000
736446015266036200
oct3567521032052010
9566120154123400
10131368158254088
1138948a17634528
1212898042496460
13583bc6c37b792
1424623778db400
15102c2c207be43
hex777a88685408

131368158254088 has 480 divisors, whose sum is σ = 439824548116800. Its totient is φ = 36500234141952.

The previous prime is 131368158254063. The next prime is 131368158254111. The reversal of 131368158254088 is 880452851863131.

It is a happy number.

131368158254088 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 6 + 8 + 1 + 5 + 8 + 2 + 540 + 88 = 666.

It is a super-2 number, since 2×1313681582540882 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2324948445 + ... + 2325004947.

It is an arithmetic number, because the mean of its divisors is an integer number (916301141910).

Almost surely, 2131368158254088 is an apocalyptic number.

131368158254088 is a gapful number since it is divisible by the number (18) 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 131368158254088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219912274058400).

131368158254088 is an abundant number, since it is smaller than the sum of its proper divisors (308456389862712).

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

131368158254088 is a wasteful number, since it uses less digits than its factorization.

131368158254088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58551 (or 58531 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 63.

The spelling of 131368158254088 in words is "one hundred thirty-one trillion, three hundred sixty-eight billion, one hundred fifty-eight million, two hundred fifty-four thousand, eighty-eight".