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242554454142 = 237111340385357
BaseRepresentation
bin1110000111100101011…
…1110100000001111110
3212012002000222221022120
43201321113310001332
512433222420013032
6303232235423410
723344503561660
oct3417127640176
9765060887276
10242554454142
1193959736470
123b012bb4b66
1319b46688760
14ba4da36530
15649934162c
hex38795f407e

242554454142 has 64 divisors (see below), whose sum is σ = 651335053824. Its totient is φ = 58154912640.

The previous prime is 242554454141. The next prime is 242554454209. The reversal of 242554454142 is 241454455242.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 242554454094 and 242554454103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242554454141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20186673 + ... + 20198684.

It is an arithmetic number, because the mean of its divisors is an integer number (10177110216).

Almost surely, 2242554454142 is an apocalyptic number.

242554454142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242554454142 is an abundant number, since it is smaller than the sum of its proper divisors (408780599682).

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

242554454142 is a wasteful number, since it uses less digits than its factorization.

242554454142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40385393.

The product of its digits is 1024000, while the sum is 42.

It can be divided in two parts, 242554 and 454142, that added together give a palindrome (696696).

The spelling of 242554454142 in words is "two hundred forty-two billion, five hundred fifty-four million, four hundred fifty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 6006 40385357 80770714 121156071 242312142 282697499 444238927 525009641 565394998 848092497 888477854 1050019282 1332716781 1575028923 1696184994 2665433562 3109672489 3150057846 3675067487 5775106051 6219344978 7350134974 9329017467 11025202461 11550212102 17325318153 18658034934 22050404922 34650636306 40425742357 80851484714 121277227071 242554454142