Search a number
-
+
14211063915912 = 23327872083120401
BaseRepresentation
bin1100111011001100010101…
…1010101010010110001000
31212022120020110220210122100
43032303011122222112020
53330313224330302122
650120250031153400
72664500261134143
oct316630532522610
955276213823570
1014211063915912
11458997310a646
121716248675860
137c11364b8c16
14371b67adb05a
151999e0839aac
hexcecc56aa588

14211063915912 has 96 divisors (see below), whose sum is σ = 38556024230880. Its totient is φ = 4728691699200.

The previous prime is 14211063915911. The next prime is 14211063915967. The reversal of 14211063915912 is 21951936011241.

14211063915912 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 1 + 0 + 639 + 1 + 5 + 9 + 1 + 2 = 666.

It is a super-2 number, since 2×142110639159122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14211063915911) 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, 117970912 + ... + 118091312.

It is an arithmetic number, because the mean of its divisors is an integer number (401625252405).

Almost surely, 214211063915912 is an apocalyptic number.

14211063915912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14211063915912 is an abundant number, since it is smaller than the sum of its proper divisors (24344960314968).

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

14211063915912 is a wasteful number, since it uses less digits than its factorization.

14211063915912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123283 (or 123276 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 14211063915912 in words is "fourteen trillion, two hundred eleven billion, sixty-three million, nine hundred fifteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 787 1574 2083 2361 3148 4166 4722 6249 6296 7083 8332 9444 12498 14166 16664 18747 18888 24996 28332 37494 49992 56664 74988 120401 149976 240802 361203 481604 722406 963208 1083609 1444812 1639321 2167218 2889624 3278642 4334436 4917963 6557284 8668872 9835926 13114568 14753889 19671852 29507778 39343704 59015556 94755587 118031112 189511174 250795283 284266761 379022348 501590566 568533522 752385849 758044696 852800283 1003181132 1137067044 1504771698 1705600566 2006362264 2257157547 2274134088 3009543396 3411201132 4514315094 6019086792 6822402264 9028630188 18057260376 197375887721 394751775442 592127663163 789503550884 1184255326326 1579007101768 1776382989489 2368510652652 3552765978978 4737021305304 7105531957956 14211063915912