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130434444121014 = 23211979436725951
BaseRepresentation
bin11101101010000100100010…
…101101010101001110110110
3122002211102002200021022002100
4131222010202231111032312
5114044014220143333024
61141224431215122530
736321402055620405
oct3552044255251666
9562742080238070
10130434444121014
1138618a34318540
121276709b513446
1357a1bb8bc8b07
14242d0bcacb63c
151012d74d1c7c9
hex76a122b553b6

130434444121014 has 48 divisors (see below), whose sum is σ = 308302788777984. Its totient is φ = 39525179694000.

The previous prime is 130434444121013. The next prime is 130434444121039. The reversal of 130434444121014 is 410121444434031.

130434444121014 is a `hidden beast` number, since 1 + 3 + 0 + 434 + 4 + 4 + 4 + 1 + 210 + 1 + 4 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 130434444121014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130434444121013) 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, 16029739 + ... + 22755689.

It is an arithmetic number, because the mean of its divisors is an integer number (6422974766208).

Almost surely, 2130434444121014 is an apocalyptic number.

130434444121014 is an abundant number, since it is smaller than the sum of its proper divisors (177868344656970).

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

130434444121014 is a wasteful number, since it uses less digits than its factorization.

130434444121014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6823913 (or 6823910 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 130434444121014 its reverse (410121444434031), we get a palindrome (540555888555045).

The spelling of 130434444121014 in words is "one hundred thirty trillion, four hundred thirty-four billion, four hundred forty-four million, one hundred twenty-one thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 97943 195886 293829 587658 881487 1077373 1762974 2154746 3232119 6464238 6725951 9696357 13451902 19392714 20177853 40355706 60533559 73985461 121067118 147970922 221956383 443912766 665869149 1331738298 658759818793 1317519637586 1976279456379 3952558912758 5928838369137 7246358006723 11857676738274 14492716013446 21739074020169 43478148040338 65217222060507 130434444121014