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130064141214 = 23273832695183
BaseRepresentation
bin111100100100001101…
…1010100101110011110
3110102201101121221211100
41321020123110232132
54112332410004324
6135430045533530
712253052646660
oct1711033245636
9412641557740
10130064141214
11501838a93a7
122125a2742a6
13c35a271707
14641bc04530
1535b37d34c9
hex1e486d4b9e

130064141214 has 48 divisors (see below), whose sum is σ = 322904604672. Its totient is φ = 37064142864.

The previous prime is 130064141189. The next prime is 130064141219. The reversal of 130064141214 is 412141460031.

130064141214 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 641 + 4 + 1 + 2 + 14 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130064141219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1299334 + ... + 1395849.

It is an arithmetic number, because the mean of its divisors is an integer number (6727179264).

Almost surely, 2130064141214 is an apocalyptic number.

130064141214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

130064141214 is an abundant number, since it is smaller than the sum of its proper divisors (192840463458).

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

130064141214 is a wasteful number, since it uses less digits than its factorization.

130064141214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695581 (or 2695578 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 130064141214 in words is "one hundred thirty billion, sixty-four million, one hundred forty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 383 766 1149 2298 2681 3447 5362 6894 8043 16086 24129 48258 2695183 5390366 8085549 16171098 18866281 24256647 37732562 48513294 56598843 113197686 169796529 339593058 1032255089 2064510178 3096765267 6193530534 7225785623 9290295801 14451571246 18580591602 21677356869 43354713738 65032070607 130064141214