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40422341322342 = 232714918701115133
BaseRepresentation
bin10010011000011100011110…
…10010111010011001100110
312022010100010110122011000100
421030032033102322121212
520244234423334303332
6221545433420324530
711341263205046220
oct1114161722723146
9168110113564010
1040422341322342
1111975022960631
12464a1543a3746
131972a6c693265
149da6478ab410
154a1727bb667c
hex24c38f4ba666

40422341322342 has 96 divisors (see below), whose sum is σ = 100771447982400. Its totient is φ = 11471015635200.

The previous prime is 40422341322239. The next prime is 40422341322367. The reversal of 40422341322342 is 24322314322404.

40422341322342 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 2 + 3 + 413 + 2 + 234 + 2 = 666.

40422341322342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40422341322297 and 40422341322306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351035008 + ... + 351150140.

It is an arithmetic number, because the mean of its divisors is an integer number (1049702583150).

Almost surely, 240422341322342 is an apocalyptic number.

40422341322342 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 40422341322342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50385723991200).

40422341322342 is an abundant number, since it is smaller than the sum of its proper divisors (60349106660058).

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

40422341322342 is a wasteful number, since it uses less digits than its factorization.

40422341322342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133998 (or 133995 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 40422341322342 its reverse (24322314322404), we get a palindrome (64744655644746).

The spelling of 40422341322342 in words is "forty trillion, four hundred twenty-two billion, three hundred forty-one million, three hundred twenty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 149 298 447 894 1043 1341 2086 2682 3129 6258 9387 18701 18774 37402 56103 112206 115133 130907 168309 230266 261814 336618 345399 392721 690798 785442 805931 1036197 1178163 1611862 2072394 2356326 2417793 2786449 4835586 5572898 7253379 8359347 14506758 16718694 17154817 19505143 25078041 34309634 39010286 50156082 51464451 58515429 102928902 117030858 120083719 154393353 175546287 240167438 308786706 351092574 360251157 720502314 1080753471 2153102233 2161506942 4306204466 6459306699 12918613398 15071715631 19377920097 30143431262 38755840194 45215146893 90430293786 135645440679 271290881358 320812232717 641624465434 962436698151 1924873396302 2245685629019 2887310094453 4491371258038 5774620188906 6737056887057 13474113774114 20211170661171 40422341322342