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130490814240 = 253351071971433
BaseRepresentation
bin111100110000111011…
…0111100111100100000
3110110211010111012012000
41321201312330330200
54114221122023430
6135540251004000
712266453422443
oct1714166747440
9413733435160
10130490814240
1150382732136
1221359139600
13c3c7791867
14645c74d65a
1535daeb4e60
hex1e61dbcf20

130490814240 has 384 divisors, whose sum is σ = 463649598720. Its totient is φ = 34273419264.

The previous prime is 130490814217. The next prime is 130490814269. The reversal of 130490814240 is 42418094031.

It is a happy number.

130490814240 is a `hidden beast` number, since 13 + 0 + 490 + 81 + 42 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 130490814195 and 130490814204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91060564 + ... + 91061996.

It is an arithmetic number, because the mean of its divisors is an integer number (1207420830).

Almost surely, 2130490814240 is an apocalyptic number.

130490814240 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 130490814240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231824799360).

130490814240 is an abundant number, since it is smaller than the sum of its proper divisors (333158784480).

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

130490814240 is a wasteful number, since it uses less digits than its factorization.

130490814240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 130490814240 in words is "one hundred thirty billion, four hundred ninety million, eight hundred fourteen thousand, two hundred forty".