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130627002240 = 273657233747
BaseRepresentation
bin111100110100111111…
…0011101111110000000
3110111011121202021000000
41321221332131332000
54120011003032430
6140001554000000
712303026125140
oct1715176357600
9414147667000
10130627002240
11504425a01a9
1221396876000
13c419a65a87
146472880920
1535e7e16e60
hex1e69f9df80

130627002240 has 1792 divisors, whose sum is σ = 585649336320. Its totient is φ = 27196342272.

The previous prime is 130627002229. The next prime is 130627002283. The reversal of 130627002240 is 42200726031.

130627002240 is a `hidden beast` number, since 1 + 30 + 627 + 0 + 0 + 2 + 2 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2779297897 + ... + 2779297943.

Almost surely, 2130627002240 is an apocalyptic number.

130627002240 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 130627002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292824668160).

130627002240 is an abundant number, since it is smaller than the sum of its proper divisors (455022334080).

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

130627002240 is an equidigital number, since it uses as much as digits as its factorization.

130627002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 130627002240 its reverse (42200726031), we get a palindrome (172827728271).

The spelling of 130627002240 in words is "one hundred thirty billion, six hundred twenty-seven million, two thousand, two hundred forty".