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130424141044044 = 22332116438901041
BaseRepresentation
bin11101101001111010111100…
…100110001101100101001100
3122002210102111122012202112000
4131221322330212031211030
5114043332120101402134
61141220005004312300
736320555541122211
oct3551727446154514
9562712448182460
10130424141044044
11386146275182a1
12127650a4b42690
1357a0c364a4173
14242c7c25d3b08
151012970543e99
hex769ebc98d94c

130424141044044 has 96 divisors (see below), whose sum is σ = 340267609409280. Its totient is φ = 43201375660800.

The previous prime is 130424141044031. The next prime is 130424141044073. The reversal of 130424141044044 is 440440141424031.

130424141044044 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 241 + 4 + 1 + 0 + 4 + 404 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10202164 + ... + 19103204.

It is an arithmetic number, because the mean of its divisors is an integer number (3544454264680).

Almost surely, 2130424141044044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130424141044044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170133804704640).

130424141044044 is an abundant number, since it is smaller than the sum of its proper divisors (209843468365236).

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

130424141044044 is a wasteful number, since it uses less digits than its factorization.

130424141044044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8901908 (or 8901900 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 130424141044044 its reverse (440440141424031), we get a palindrome (570864282468075).

The spelling of 130424141044044 in words is "one hundred thirty trillion, four hundred twenty-four billion, one hundred forty-one million, forty-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 211 422 633 643 844 1266 1286 1899 1929 2532 2572 3798 3858 5697 5787 7596 7716 11394 11574 17361 22788 23148 34722 69444 135673 271346 407019 542692 814038 1221057 1628076 2442114 3663171 4884228 7326342 8901041 14652684 17802082 26703123 35604164 53406246 80109369 106812492 160218738 240328107 320437476 480656214 961312428 1878119651 3756239302 5634358953 5723369363 7512478604 11268717906 11446738726 16903076859 17170108089 22537435812 22893477452 33806153718 34340216178 50709230577 51510324267 67612307436 68680432356 101418461154 103020648534 154530972801 202836922308 206041297068 309061945602 618123891204 1207630935593 2415261871186 3622892806779 4830523742372 7245785613558 10868678420337 14491571227116 21737356840674 32606035261011 43474713681348 65212070522022 130424141044044