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130560734304 = 253371113150961
BaseRepresentation
bin111100110011000000…
…1101011010001100000
3110111000000001111111000
41321212001223101200
54114342021444204
6135551225352000
712301262634150
oct1714601532140
9414000044430
10130560734304
1150409149110
1221378638600
13c409102b90
146467b50760
1535e21c7039
hex1e6606b460

130560734304 has 384 divisors, whose sum is σ = 511290178560. Its totient is φ = 31303065600.

The previous prime is 130560734263. The next prime is 130560734329. The reversal of 130560734304 is 403437065031.

130560734304 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 607 + 3 + 43 + 0 + 4 = 666.

It is a super-2 number, since 2×1305607343042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 789384 + ... + 940344.

It is an arithmetic number, because the mean of its divisors is an integer number (1331484840).

Almost surely, 2130560734304 is an apocalyptic number.

130560734304 is a gapful number since it is divisible by the number (14) 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 130560734304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255645089280).

130560734304 is an abundant number, since it is smaller than the sum of its proper divisors (380729444256).

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

130560734304 is a wasteful number, since it uses less digits than its factorization.

130560734304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151011 (or 150997 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Adding to 130560734304 its reverse (403437065031), we get a palindrome (533997799335).

The spelling of 130560734304 in words is "one hundred thirty billion, five hundred sixty million, seven hundred thirty-four thousand, three hundred four".