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3432112630146 = 234149166985193
BaseRepresentation
bin110001111100011001110…
…110101010100110000010
3110011002212211102021120000
4301330121312222212002
5422212431313131041
611144405112500430
7502650644003364
oct61743166524602
913132784367500
103432112630146
111103607117432
124751bb6aa716
131bb854123c35
14bc187d1ad34
155e425475bb6
hex31f19daa982

3432112630146 has 80 divisors (see below), whose sum is σ = 7746818211000. Its totient is φ = 1135665245952.

The previous prime is 3432112630123. The next prime is 3432112630147. The reversal of 3432112630146 is 6410362112343.

3432112630146 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 1 + 1 + 2 + 630 + 14 + 6 = 666.

3432112630146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2578962987225 + 853149642921 = 1605915^2 + 923661^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3432112630146.

It is not an unprimeable number, because it can be changed into a prime (3432112630147) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40243726 + ... + 40328918.

Almost surely, 23432112630146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3432112630146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3873409105500).

3432112630146 is an abundant number, since it is smaller than the sum of its proper divisors (4314705580854).

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

3432112630146 is a wasteful number, since it uses less digits than its factorization.

3432112630146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87025 (or 87016 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 3432112630146 its reverse (6410362112343), we get a palindrome (9842474742489).

The spelling of 3432112630146 in words is "three trillion, four hundred thirty-two billion, one hundred twelve million, six hundred thirty thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 149 162 298 447 894 1341 1669 2682 3338 4023 5007 8046 10014 12069 15021 24138 30042 45063 85193 90126 135189 170386 248681 255579 270378 497362 511158 746043 766737 1492086 1533474 2238129 2300211 4476258 4600422 6714387 6900633 12693757 13428774 13801266 20143161 25387514 38081271 40286322 76162542 114243813 142187117 228487626 284374234 342731439 426561351 685462878 853122702 1028194317 1279684053 2056388634 2559368106 3839052159 7678104318 11517156477 21185880433 23034312954 42371760866 63557641299 127115282598 190672923897 381345847794 572018771691 1144037543382 1716056315073 3432112630146