Search a number
-
+
130312162778418 = 23233170769309059
BaseRepresentation
bin11101101000010010101010…
…001011000001110100110010
3122002101201110200100110212200
4131220102222023001310302
5114040013302132402133
61141052325305404030
736306512605431405
oct3550225213016462
9562351420313780
10130312162778418
1138581094725a15
1212747453799616
1357934cc19c8aa
1424271dc7b1d3c
15100eab992d913
hex7684aa2c1d32

130312162778418 has 48 divisors (see below), whose sum is σ = 283200937437600. Its totient is φ = 43305404757120.

The previous prime is 130312162778401. The next prime is 130312162778449. The reversal of 130312162778418 is 814877261213031.

130312162778418 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 1 + 2 + 1 + 627 + 7 + 8 + 4 + 1 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421487173 + ... + 421796231.

It is an arithmetic number, because the mean of its divisors is an integer number (5900019529950).

Almost surely, 2130312162778418 is an apocalyptic number.

130312162778418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

130312162778418 is an abundant number, since it is smaller than the sum of its proper divisors (152888774659182).

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

130312162778418 is a wasteful number, since it uses less digits than its factorization.

130312162778418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380167 (or 380164 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 130312162778418 in words is "one hundred thirty trillion, three hundred twelve billion, one hundred sixty-two million, seven hundred seventy-eight thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 18 331 662 993 1986 2979 5958 70769 141538 212307 309059 424614 618118 636921 927177 1273842 1854354 2781531 5563062 23424539 46849078 70273617 102298529 140547234 204597058 210820851 306895587 421641702 613791174 920686761 1841373522 21871796371 43743592742 65615389113 131230778226 196846167339 393692334678 7239564598801 14479129197602 21718693796403 43437387592806 65156081389209 130312162778418