Search a number
-
+
14366206315131 = 31121915671329269
BaseRepresentation
bin1101000100001110010010…
…0111111100101001111011
31212212101200121201021002020
43101003210213330221323
53340333442304041011
650315424415205523
73011631661565016
oct321034447745173
955771617637066
1014366206315131
114639745a36400
1217403255168a3
1380295c264348
1437948441a37d
1519da70aed006
hexd10e49fca7b

14366206315131 has 48 divisors (see below), whose sum is σ = 22176902630400. Its totient is φ = 8243269404480.

The previous prime is 14366206315127. The next prime is 14366206315163. The reversal of 14366206315131 is 13151360266341.

It is not a de Polignac number, because 14366206315131 - 22 = 14366206315127 is a prime.

It is a super-2 number, since 2×143662063151312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14366206315231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10142965 + ... + 11472233.

It is an arithmetic number, because the mean of its divisors is an integer number (462018804800).

Almost surely, 214366206315131 is an apocalyptic number.

14366206315131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14366206315131 is a deficient number, since it is larger than the sum of its proper divisors (7810696315269).

14366206315131 is a wasteful number, since it uses less digits than its factorization.

14366206315131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330880 (or 1330869 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 14366206315131 in words is "fourteen trillion, three hundred sixty-six billion, two hundred six million, three hundred fifteen thousand, one hundred thirty-one".

Divisors: 1 3 11 19 33 57 121 209 363 627 1567 2299 4701 6897 17237 29773 51711 89319 189607 327503 568821 982509 1329269 3602533 3987807 10807599 14621959 25256111 43865877 75768333 160841549 277817221 482524647 833451663 2082964523 3055989431 6248893569 9167968293 22912609753 39576325937 68737829259 118728977811 252038707283 435339585307 756116121849 1306018755921 4788735438377 14366206315131