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42444412122 = 23729151230779
BaseRepresentation
bin100111100001111000…
…100101010011011010
311001120000122112112210
4213201320211103122
51143411232141442
631255415015550
73031545356520
oct474170452332
9131500575483
1042444412122
1117000845052
12828666a5b6
13400561b078
1420a90ac310
1511863d219c
hex9e1e254da

42444412122 has 64 divisors (see below), whose sum is σ = 101026252800. Its totient is φ = 11631211200.

The previous prime is 42444412111. The next prime is 42444412139. The reversal of 42444412122 is 22121444424.

42444412122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42444412122.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68529 + ... + 299307.

It is an arithmetic number, because the mean of its divisors is an integer number (1578535200).

Almost surely, 242444412122 is an apocalyptic number.

42444412122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42444412122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50513126400).

42444412122 is an abundant number, since it is smaller than the sum of its proper divisors (58581840678).

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

42444412122 is a wasteful number, since it uses less digits than its factorization.

42444412122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230971.

The product of its digits is 16384, while the sum is 30.

Adding to 42444412122 its reverse (22121444424), we get a palindrome (64565856546).

The spelling of 42444412122 in words is "forty-two billion, four hundred forty-four million, four hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 151 174 203 302 406 453 609 906 1057 1218 2114 3171 4379 6342 8758 13137 26274 30653 61306 91959 183918 230779 461558 692337 1384674 1615453 3230906 4846359 6692591 9692718 13385182 20077773 34847629 40155546 46848137 69695258 93696274 104542887 140544411 209085774 243933403 281088822 487866806 731800209 1010581241 1463600418 2021162482 3031743723 6063487446 7074068687 14148137374 21222206061 42444412122