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130374866340 = 22325724304813
BaseRepresentation
bin111100101101011110…
…0101001010110100100
3110110112001022102120100
41321122330221112210
54114001431210330
6135520545504100
712263545036065
oct1713274512644
9413461272510
10130374866340
1150323238824
1221326342030
13c3a9756134
14644b1aa56c
1535d0c10060
hex1e5af295a4

130374866340 has 36 divisors (see below), whose sum is σ = 395470428444. Its totient is φ = 34766630976.

The previous prime is 130374866269. The next prime is 130374866393. The reversal of 130374866340 is 43668473031.

130374866340 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 7 + 4 + 8 + 6 + 634 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14846935104 + 115527931236 = 121848^2 + 339894^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 362152227 + ... + 362152586.

It is an arithmetic number, because the mean of its divisors is an integer number (10985289679).

Almost surely, 2130374866340 is an apocalyptic number.

130374866340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130374866340 is an abundant number, since it is smaller than the sum of its proper divisors (265095562104).

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

130374866340 is a wasteful number, since it uses less digits than its factorization.

130374866340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724304828 (or 724304823 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 130374866340 in words is "one hundred thirty billion, three hundred seventy-four million, eight hundred sixty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 724304813 1448609626 2172914439 2897219252 3621524065 4345828878 6518743317 7243048130 8691657756 10864572195 13037486634 14486096260 21729144390 26074973268 32593716585 43458288780 65187433170 130374866340