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130942944000 = 2832531141333
BaseRepresentation
bin111100111110011001…
…1101100001100000000
3110111222122020202121200
41321330303230030000
54121132343202000
6140053201421200
712313613442141
oct1717463541400
9414878222550
10130942944000
11505949729a0
122146463a800
13c46a355a6b
1464a2803ac8
153615a24500
hex1e7ccec300

130942944000 has 432 divisors, whose sum is σ = 514017058464. Its totient is φ = 31742976000.

The previous prime is 130942943983. The next prime is 130942944029. The reversal of 130942944000 is 449249031.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3147334 + ... + 3188666.

It is an arithmetic number, because the mean of its divisors is an integer number (1189854302).

Almost surely, 2130942944000 is an apocalyptic number.

130942944000 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 130942944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257008529232).

130942944000 is an abundant number, since it is smaller than the sum of its proper divisors (383074114464).

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

130942944000 is a wasteful number, since it uses less digits than its factorization.

130942944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41381 (or 41354 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 130942944000 in words is "one hundred thirty billion, nine hundred forty-two million, nine hundred forty-four thousand".