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130406941278 = 2345344933827
BaseRepresentation
bin111100101110011011…
…1000000001001011110
3110110121021200000010000
41321130313000021132
54114033134110103
6135524053155130
712264414466035
oct1713467001136
9413537600100
10130406941278
115033a356139
122133502baa6
13c3b32a66a3
14645155971c
1535d3948aa3
hex1e5cdc025e

130406941278 has 80 divisors (see below), whose sum is σ = 298393405200. Its totient is φ = 42552566784.

The previous prime is 130406941277. The next prime is 130406941297. The reversal of 130406941278 is 872149604031.

130406941278 is a `hidden beast` number, since 1 + 30 + 406 + 94 + 127 + 8 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130406941271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3838201 + ... + 3872027.

It is an arithmetic number, because the mean of its divisors is an integer number (3729917565).

Almost surely, 2130406941278 is an apocalyptic number.

130406941278 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130406941278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149196702600).

130406941278 is an abundant number, since it is smaller than the sum of its proper divisors (167986463922).

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

130406941278 is a wasteful number, since it uses less digits than its factorization.

130406941278 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34343 (or 34334 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 130406941278 in words is "one hundred thirty billion, four hundred six million, nine hundred forty-one thousand, two hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 449 477 898 954 1347 1431 2694 2862 4041 4293 8082 8586 12123 23797 24246 33827 36369 47594 67654 71391 72738 101481 142782 202962 214173 304443 428346 608886 642519 913329 1285038 1792831 1826658 1927557 2739987 3585662 3855114 5378493 5479974 10756986 15188323 16135479 30376646 32270958 45564969 48406437 91129938 96812874 136694907 145219311 273389814 290438622 410084721 804981119 820169442 1230254163 1609962238 2414943357 2460508326 4829886714 7244830071 14489660142 21734490213 43468980426 65203470639 130406941278