Search a number
-
+
130144054344000 = 263535939144467
BaseRepresentation
bin11101100101110110000110…
…001000001111100101000000
3122001210122112220200011220220
4131211312012020033211000
5114024240010403002000
61140443204142303040
736261411663343614
oct3545660610174500
9561718486604826
10130144054344000
1138516868912a94
121271a958587a80
1357806bb0b52a8
14241d012049344
15100a52b1c71a0
hex765d8620f940

130144054344000 has 224 divisors, whose sum is σ = 430460395238016. Its totient is φ = 34646552780800.

The previous prime is 130144054343983. The next prime is 130144054344013. The reversal of 130144054344000 is 443450441031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9659767 + ... + 18804233.

Almost surely, 2130144054344000 is an apocalyptic number.

130144054344000 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 130144054344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215230197619008).

130144054344000 is an abundant number, since it is smaller than the sum of its proper divisors (300316340894016).

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

130144054344000 is an equidigital number, since it uses as much as digits as its factorization.

130144054344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9145090 (or 9145070 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 130144054344000 in words is "one hundred thirty trillion, one hundred forty-four billion, fifty-four million, three hundred forty-four thousand".