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130442392080 = 243257111329792
BaseRepresentation
bin111100101111011111…
…0001111001000010000
3110110200202101002110200
41321132332033020100
54114121223021310
6135531401055200
712265325016120
oct1713676171020
9413622332420
10130442392080
1150358369920
1221344a87500
13c3ba7396b0
146456146c80
1535d6aec9c0
hex1e5ef8f210

130442392080 has 1440 divisors, whose sum is σ = 616258056960. Its totient is φ = 23851376640.

The previous prime is 130442392061. The next prime is 130442392097. The reversal of 130442392080 is 80293244031.

130442392080 is a `hidden beast` number, since 1 + 3 + 0 + 442 + 3 + 9 + 208 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 1651169481 + ... + 1651169559.

It is an arithmetic number, because the mean of its divisors is an integer number (427956984).

Almost surely, 2130442392080 is an apocalyptic number.

130442392080 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 130442392080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308129028480).

130442392080 is an abundant number, since it is smaller than the sum of its proper divisors (485815664880).

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

130442392080 is a wasteful number, since it uses less digits than its factorization.

130442392080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 130442392080 in words is "one hundred thirty billion, four hundred forty-two million, three hundred ninety-two thousand, eighty".