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130407445625 = 541811152773
BaseRepresentation
bin111100101110011100…
…0111011010001111001
3110110121022121121221112
41321130320323101321
54114033301230000
6135524112050105
712264421666322
oct1713470732171
9413538547845
10130407445625
115033a670056
1221335233935
13c3b3422112
14645164b449
1535d39e8235
hex1e5ce3b479

130407445625 has 20 divisors (see below), whose sum is σ = 163857601908. Its totient is φ = 103749480000.

The previous prime is 130407445607. The next prime is 130407445633. The reversal of 130407445625 is 526544704031.

It can be written as a sum of positive squares in 10 ways, for example, as 98347468816 + 32059976809 = 313604^2 + 179053^2 .

It is not a de Polignac number, because 130407445625 - 212 = 130407441529 is a prime.

It is a super-2 number, since 2×1304074456252 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 463262 + ... + 689511.

Almost surely, 2130407445625 is an apocalyptic number.

It is an amenable number.

130407445625 is a deficient number, since it is larger than the sum of its proper divisors (33450156283).

130407445625 is an equidigital number, since it uses as much as digits as its factorization.

130407445625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152974 (or 1152959 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 41.

The spelling of 130407445625 in words is "one hundred thirty billion, four hundred seven million, four hundred forty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 125 181 625 905 4525 22625 113125 1152773 5763865 28819325 144096625 208651913 720483125 1043259565 5216297825 26081489125 130407445625