Search a number
-
+
130163403651840 = 2835513193124143
BaseRepresentation
bin11101100110001000000111…
…011011111111101100000000
3122001212111111101210212100000
4131212020013123333230000
5114030044122313324330
61140500124145200000
736262665324632046
oct3546100733775400
9561774441725300
10130163403651840
1138523a98010399
1212722658630000
135782482a25b80
14241dd29b50396
15100acaec60560
hex7662076ffb00

130163403651840 has 5184 divisors, whose sum is σ = 573433130350080. Its totient is φ = 27991808409600.

The previous prime is 130163403651803. The next prime is 130163403651847. The reversal of 130163403651840 is 48156304361031.

130163403651840 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 6 + 3 + 403 + 65 + 184 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (130163403651847) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3027055898859 + ... + 3027055898901.

Almost surely, 2130163403651840 is an apocalyptic number.

130163403651840 is a gapful number since it is divisible by the number (10) 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 130163403651840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286716565175040).

130163403651840 is an abundant number, since it is smaller than the sum of its proper divisors (443269726698240).

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

130163403651840 is a wasteful number, since it uses less digits than its factorization.

130163403651840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 130163403651840 in words is "one hundred thirty trillion, one hundred sixty-three billion, four hundred three million, six hundred fifty-one thousand, eight hundred forty".