Search a number
-
+
14816239146 = 2335310350261
BaseRepresentation
bin11011100110001110…
…11101111000101010
31102020120100221012000
431303013131320222
5220320424123041
610450111231430
71033105645332
oct156307357052
942216327160
1014816239146
116313420845
122a55b18576
131521759417
14a07a6c0c2
155bab16bb6
hex3731dde2a

14816239146 has 64 divisors (see below), whose sum is σ = 33872567040. Its totient is φ = 4798422720.

The previous prime is 14816239129. The next prime is 14816239183. The reversal of 14816239146 is 64193261841.

14816239146 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 623 + 9 + 14 + 6 = 666.

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, 269656 + ... + 319916.

It is an arithmetic number, because the mean of its divisors is an integer number (529258860).

Almost surely, 214816239146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14816239146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16936283520).

14816239146 is an abundant number, since it is smaller than the sum of its proper divisors (19056327894).

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

14816239146 is a wasteful number, since it uses less digits than its factorization.

14816239146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50428 (or 50422 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 14816239146 in words is "fourteen billion, eight hundred sixteen million, two hundred thirty-nine thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 53 54 103 106 159 206 309 318 477 618 927 954 1431 1854 2781 2862 5459 5562 10918 16377 32754 49131 50261 98262 100522 147393 150783 294786 301566 452349 904698 1357047 2663833 2714094 5176883 5327666 7991499 10353766 15530649 15982998 23974497 31061298 46591947 47948994 71923491 93183894 139775841 143846982 274374799 279551682 548749598 823124397 1646248794 2469373191 4938746382 7408119573 14816239146