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130481447832000 = 263453673005377
BaseRepresentation
bin11101101010110000010100…
…010110010000100111000000
3122002222220102110001012220000
4131222300110112100213000
5114100302001121111000
61141302203303520000
736324654625564566
oct3552602426204700
9562886373035800
10130481447832000
1138636964725281
1212774218a59000
1357a6469c83455
14243149b4dda36
1510141c6603000
hex76ac145909c0

130481447832000 has 560 divisors, whose sum is σ = 489916092645408. Its totient is φ = 34275712204800.

The previous prime is 130481447831993. The next prime is 130481447832019. The reversal of 130481447832000 is 238744184031.

130481447832000 is a `hidden beast` number, since 1 + 30 + 4 + 81 + 447 + 83 + 20 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41913312 + ... + 44918688.

Almost surely, 2130481447832000 is an apocalyptic number.

130481447832000 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 130481447832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244958046322704).

130481447832000 is an abundant number, since it is smaller than the sum of its proper divisors (359434644813408).

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

130481447832000 is an equidigital number, since it uses as much as digits as its factorization.

130481447832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005483 (or 3005454 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 130481447832000 in words is "one hundred thirty trillion, four hundred eighty-one billion, four hundred forty-seven million, eight hundred thirty-two thousand".