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42243213224142 = 2337345732327027
BaseRepresentation
bin10011001101011100000111…
…01101111110100011001110
312112120102010011100210011000
421212232003231332203032
521014103100041133032
6225502133024441130
711616654126615030
oct1146560355764316
9175512104323130
1042243213224142
111250727864aa37
1248a30267791a6
131a75696b1c2c8
14a60822285c50
154d3c99cb6e7c
hex266b83b7e8ce

42243213224142 has 64 divisors (see below), whose sum is σ = 107315388311040. Its totient is φ = 12065997800448.

The previous prime is 42243213224141. The next prime is 42243213224161. The reversal of 42243213224142 is 24142231234224.

42243213224142 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 3 + 213 + 22 + 414 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42243213224097 and 42243213224106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42243213224141) 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, 14856768 + ... + 17470259.

It is an arithmetic number, because the mean of its divisors is an integer number (1676802942360).

Almost surely, 242243213224142 is an apocalyptic number.

42243213224142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

42243213224142 is an abundant number, since it is smaller than the sum of its proper divisors (65072175086898).

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

42243213224142 is a wasteful number, since it uses less digits than its factorization.

42243213224142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32330502 (or 32330496 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 42243213224142 its reverse (24142231234224), we get a palindrome (66385444458366).

The spelling of 42243213224142 in words is "forty-two trillion, two hundred forty-three billion, two hundred thirteen million, two hundred twenty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 3457 6914 10371 20742 24199 31113 48398 62226 72597 93339 145194 186678 217791 435582 653373 1306746 32327027 64654054 96981081 193962162 226289189 290943243 452578378 581886486 678867567 872829729 1357735134 1745659458 2036602701 4073205402 6109808103 12219616206 111754532339 223509064678 335263597017 670527194034 782281726373 1005790791051 1564563452746 2011581582102 2346845179119 3017372373153 4693690358238 6034744746306 7040535537357 14081071074714 21121606612071 42243213224142