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130747961344 = 2127112132223
BaseRepresentation
bin111100111000100101…
…1111001000000000000
3110111111001100121200211
41321301023321000000
54120232434230334
6140021554323504
712306025222450
oct1716113710000
9414431317624
10130747961344
11504a48a7600
122140b289594
13c438b37400
146484969d60
15360385ba64
hex1e712f9000

130747961344 has 468 divisors, whose sum is σ = 357254462208. Its totient is φ = 46811381760.

The previous prime is 130747961317. The next prime is 130747961381. The reversal of 130747961344 is 443169747031.

It is a super-2 number, since 2×1307479613442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 586313617 + ... + 586313839.

Almost surely, 2130747961344 is an apocalyptic number.

130747961344 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 130747961344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178627231104).

130747961344 is an abundant number, since it is smaller than the sum of its proper divisors (226506500864).

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

130747961344 is a wasteful number, since it uses less digits than its factorization.

130747961344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 49.

The spelling of 130747961344 in words is "one hundred thirty billion, seven hundred forty-seven million, nine hundred sixty-one thousand, three hundred forty-four".