Search a number
-
+
3116404316610 = 23251310924436637
BaseRepresentation
bin101101010110011000001…
…011000001100111000010
3102000220222120112020121200
4231112120023001213002
5402024344001112420
610343353440002030
7441103255423404
oct55263013014702
912026876466550
103116404316610
11aa1728aa0732
12423b91600316
13197b4cab8b60
14aab98894b74
15560e8bdbb90
hex2d5982c19c2

3116404316610 has 96 divisors (see below), whose sum is σ = 8805986869680. Its totient is φ = 760077126144.

The previous prime is 3116404316537. The next prime is 3116404316629. The reversal of 3116404316610 is 166134046113.

3116404316610 is a `hidden beast` number, since 3 + 1 + 1 + 6 + 4 + 0 + 4 + 31 + 6 + 610 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 898231958001 + 2218172358609 = 947751^2 + 1489353^2 .

It is a super-2 number, since 2×31164043166102 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12090789 + ... + 12345848.

Almost surely, 23116404316610 is an apocalyptic number.

3116404316610 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3116404316610 is an abundant number, since it is smaller than the sum of its proper divisors (5689582553070).

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

3116404316610 is a wasteful number, since it uses less digits than its factorization.

3116404316610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24436772 (or 24436769 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 3116404316610 in words is "three trillion, one hundred sixteen billion, four hundred four million, three hundred sixteen thousand, six hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 109 117 130 195 218 234 327 390 545 585 654 981 1090 1170 1417 1635 1962 2834 3270 4251 4905 7085 8502 9810 12753 14170 21255 25506 42510 63765 127530 24436637 48873274 73309911 122183185 146619822 219929733 244366370 317676281 366549555 439859466 635352562 733099110 953028843 1099648665 1588381405 1906057686 2199297330 2663593433 2859086529 3176762810 4765144215 5327186866 5718173058 7990780299 9530288430 13317967165 14295432645 15981560598 23972340897 26635934330 28590865290 34626714629 39953901495 47944681794 69253429258 79907802990 103880143887 119861704485 173133573145 207760287774 239723408970 311640431661 346267146290 519400719435 623280863322 1038801438870 1558202158305 3116404316610