Search a number
-
+
14108228136 = 233516743457
BaseRepresentation
bin11010010001110101…
…00111101000101000
31100102020010020200000
431020322213220220
5212343201300021
610251540143000
71006420650312
oct151072475050
940366106600
1014108228136
115a8a7aa682
122898997a60
13143ab738b2
1497ba0a7b2
155788b0b26
hex348ea7a28

14108228136 has 96 divisors (see below), whose sum is σ = 39863154240. Its totient is φ = 4674475008.

The previous prime is 14108228117. The next prime is 14108228153. The reversal of 14108228136 is 63182280141.

14108228136 is a `hidden beast` number, since 1 + 410 + 8 + 228 + 13 + 6 = 666.

It is a super-2 number, since 2×141082281362 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14108228136.

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, 302920 + ... + 346376.

It is an arithmetic number, because the mean of its divisors is an integer number (415241190).

Almost surely, 214108228136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14108228136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19931577120).

14108228136 is an abundant number, since it is smaller than the sum of its proper divisors (25754926104).

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

14108228136 is a wasteful number, since it uses less digits than its factorization.

14108228136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43645 (or 43629 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 14108228136 in words is "fourteen billion, one hundred eight million, two hundred twenty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 167 216 243 324 334 486 501 648 668 972 1002 1336 1503 1944 2004 3006 4008 4509 6012 9018 12024 13527 18036 27054 36072 40581 43457 54108 81162 86914 108216 130371 162324 173828 260742 324648 347656 391113 521484 782226 1042968 1173339 1564452 2346678 3128904 3520017 4693356 7040034 7257319 9386712 10560051 14080068 14514638 21120102 21771957 28160136 29029276 42240204 43543914 58058552 65315871 84480408 87087828 130631742 174175656 195947613 261263484 391895226 522526968 587842839 783790452 1175685678 1567580904 1763528517 2351371356 3527057034 4702742712 7054114068 14108228136