Search a number
-
+
14150005164 = 22323759180053
BaseRepresentation
bin11010010110110011…
…11111000110101100
31100112010201201222100
431023121333012230
5212434400131124
610300031415100
71010436026241
oct151331770654
940463651870
1014150005164
116001344349
1228aa984490
131446710229
149833a35c8
1557c3b41c9
hex34b67f1ac

14150005164 has 72 divisors (see below), whose sum is σ = 37357603920. Its totient is φ = 4511382912.

The previous prime is 14150005091. The next prime is 14150005183. The reversal of 14150005164 is 46150005141.

14150005164 is a `hidden beast` number, since 141 + 5 + 0 + 0 + 0 + 516 + 4 = 666.

It is a super-2 number, since 2×141500051642 (a number of 21 digits) contains 22 as substring.

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, 11439 + ... + 168614.

It is an arithmetic number, because the mean of its divisors is an integer number (518855610).

Almost surely, 214150005164 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 14150005164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18678801960).

14150005164 is an abundant number, since it is smaller than the sum of its proper divisors (23207598756).

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

14150005164 is a wasteful number, since it uses less digits than its factorization.

14150005164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180159 (or 180154 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 14150005164 in words is "fourteen billion, one hundred fifty million, five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 59 74 111 118 148 177 222 236 333 354 444 531 666 708 1062 1332 2124 2183 4366 6549 8732 13098 19647 26196 39294 78588 180053 360106 540159 720212 1080318 1620477 2160636 3240954 6481908 6661961 10623127 13323922 19985883 21246254 26647844 31869381 39971766 42492508 59957649 63738762 79943532 95608143 119915298 127477524 191216286 239830596 382432572 393055699 786111398 1179167097 1572222796 2358334194 3537501291 4716668388 7075002582 14150005164