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432104210442 = 23414931357193
BaseRepresentation
bin1100100100110110110…
…10110000000000001010
31112022100002022020110000
412102123122300000022
524034422134213232
6530301140503430
743134642121122
oct6223332600012
91468302266400
10432104210442
1115728861a923
126b8b29aab76
1331993936878
1416cb1c71c82
15b39011c27c
hex649b6b000a

432104210442 has 80 divisors (see below), whose sum is σ = 977862976200. Its totient is φ = 142608480768.

The previous prime is 432104210387. The next prime is 432104210453. The reversal of 432104210442 is 244012401234.

432104210442 is a `hidden beast` number, since 4 + 3 + 2 + 1 + 0 + 4 + 210 + 442 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 250661436921 + 181442773521 = 500661^2 + 425961^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 7526598 + ... + 7583790.

Almost surely, 2432104210442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432104210442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488931488100).

432104210442 is an abundant number, since it is smaller than the sum of its proper divisors (545758765758).

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

432104210442 is a wasteful number, since it uses less digits than its factorization.

432104210442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57669 (or 57660 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 432104210442 its reverse (244012401234), we get a palindrome (676116611676).

The spelling of 432104210442 in words is "four hundred thirty-two billion, one hundred four million, two hundred ten thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 149 162 298 313 447 626 894 939 1341 1878 2682 2817 4023 5634 8046 8451 12069 16902 24138 25353 46637 50706 57193 93274 114386 139911 171579 279822 343158 419733 514737 839466 1029474 1259199 1544211 2518398 3088422 3777597 4632633 7555194 8521757 9265266 17043514 17901409 25565271 35802818 51130542 53704227 76695813 107408454 153391626 161112681 230087439 322225362 460174878 483338043 690262317 966676086 1380524634 1450014129 2667309941 2900028258 5334619882 8001929823 16003859646 24005789469 48011578938 72017368407 144034736814 216052105221 432104210442