Search a number
-
+
14362556244066 = 234615992426387
BaseRepresentation
bin1101000100000000101100…
…0100000010000001100010
31212212001021020110102220000
43101000023010002001202
53340304003344302231
650314022305400430
73011442350521302
oct321001304020142
955761236412800
1014362556244066
114638142628a48
12173b687039116
138024c9ca2694
14379219755602
1519d90a44a6e6
hexd100b102062

14362556244066 has 80 divisors (see below), whose sum is σ = 32764972996800. Its totient is φ = 4701171402720.

The previous prime is 14362556244053. The next prime is 14362556244077. The reversal of 14362556244066 is 66044265526341.

14362556244066 is a `hidden beast` number, since 1 + 4 + 3 + 6 + 2 + 5 + 5 + 624 + 4 + 0 + 6 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4706125 + ... + 7132511.

It is an arithmetic number, because the mean of its divisors is an integer number (409562162460).

Almost surely, 214362556244066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14362556244066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16382486498400).

14362556244066 is an abundant number, since it is smaller than the sum of its proper divisors (18402416752734).

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

14362556244066 is a wasteful number, since it uses less digits than its factorization.

14362556244066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427061 (or 2427052 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 14362556244066 in words is "fourteen trillion, three hundred sixty-two billion, five hundred fifty-six million, two hundred forty-four thousand, sixty-six".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 366 549 599 1098 1198 1647 1797 3294 3594 4941 5391 9882 10782 16173 32346 36539 48519 73078 97038 109617 219234 328851 657702 986553 1973106 2426387 2959659 4852774 5919318 7279161 14558322 21837483 43674966 65512449 131024898 148009607 196537347 296019214 393074694 444028821 888057642 1332086463 1453405813 2664172926 2906811626 3996259389 4360217439 7992518778 8720434878 11988778167 13080652317 23977556334 26161304634 39241956951 78483913902 88657754593 117725870853 177315509186 235451741706 265973263779 531946527558 797919791337 1595839582674 2393759374011 4787518748022 7181278122033 14362556244066