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130402540224 = 263611223099
BaseRepresentation
bin111100101110010011…
…0001101101011000000
3110110120222101102000000
41321130212031223000
54114031022241344
6135523415000000
712264332206005
oct1713446155300
9413528342000
10130402540224
115033791a600
1221333669000
13c3b23c5408
146450b318ac
1535d3379a69
hex1e5c98dac0

130402540224 has 294 divisors, whose sum is σ = 426469035300. Its totient is φ = 39514210560.

The previous prime is 130402540207. The next prime is 130402540291. The reversal of 130402540224 is 422045204031.

130402540224 is a `hidden beast` number, since 1 + 30 + 402 + 5 + 4 + 0 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 5633827 + ... + 5656925.

It is an arithmetic number, because the mean of its divisors is an integer number (1450574950).

Almost surely, 2130402540224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130402540224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213234517650).

130402540224 is an abundant number, since it is smaller than the sum of its proper divisors (296066495076).

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

130402540224 is an equidigital number, since it uses as much as digits as its factorization.

130402540224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23151 (or 23115 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 130402540224 its reverse (422045204031), we get a palindrome (552447744255).

The spelling of 130402540224 in words is "one hundred thirty billion, four hundred two million, five hundred forty thousand, two hundred twenty-four".