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130452510240 = 2532513371271483
BaseRepresentation
bin111100101111110010…
…0110101011000100000
3110110201110102010222100
41321133210311120200
54114131320311430
6135532402010400
712265510020123
oct1713744653040
9413643363870
10130452510240
115036304a838
1221348346a00
13c3bc86cc80
14645761c3ba
1535d794a960
hex1e5f935620

130452510240 has 576 divisors, whose sum is σ = 496581636096. Its totient is φ = 30976598016.

The previous prime is 130452510217. The next prime is 130452510257. The reversal of 130452510240 is 42015254031.

130452510240 is a `hidden beast` number, since 1 + 30 + 4 + 525 + 102 + 4 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 87964539 + ... + 87966021.

It is an arithmetic number, because the mean of its divisors is an integer number (862120896).

Almost surely, 2130452510240 is an apocalyptic number.

130452510240 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 130452510240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248290818048).

130452510240 is an abundant number, since it is smaller than the sum of its proper divisors (366129125856).

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

130452510240 is a wasteful number, since it uses less digits than its factorization.

130452510240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 130452510240 its reverse (42015254031), we get a palindrome (172467764271).

The spelling of 130452510240 in words is "one hundred thirty billion, four hundred fifty-two million, five hundred ten thousand, two hundred forty".