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40422010124032 = 28419739702911
BaseRepresentation
bin10010011000011011110111…
…00011011111011100000000
312022010022021101102112100021
421030031323203133130000
520244233234042432112
6221545340505503224
711341252043650405
oct1114157343373400
9168108241375307
1040422010124032
1111974972a08419
12464a0814a1b14
131972a18b90c24
149da6158d62ac
154a1708a93907
hex24c37b8df700

40422010124032 has 72 divisors (see below), whose sum is σ = 83506181939712. Its totient is φ = 19514774323200.

The previous prime is 40422010123973. The next prime is 40422010124039. The reversal of 40422010124032 is 23042101022404.

40422010124032 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 = 40422010123988 and 40422010124006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40422010124039) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 18833344 + ... + 20869567.

It is an arithmetic number, because the mean of its divisors is an integer number (1159808082496).

Almost surely, 240422010124032 is an apocalyptic number.

It is an amenable number.

40422010124032 is an abundant number, since it is smaller than the sum of its proper divisors (43084171815680).

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

40422010124032 is an equidigital number, since it uses as much as digits as its factorization.

40422010124032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39703065 (or 39703051 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 40422010124032 its reverse (23042101022404), we get a palindrome (63464111146436).

The spelling of 40422010124032 in words is "forty trillion, four hundred twenty-two billion, ten million, one hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 41 64 82 97 128 164 194 256 328 388 656 776 1312 1552 2624 3104 3977 5248 6208 7954 10496 12416 15908 24832 31816 63632 127264 254528 509056 1018112 39702911 79405822 158811644 317623288 635246576 1270493152 1627819351 2540986304 3255638702 3851182367 5081972608 6511277404 7702364734 10163945216 13022554808 15404729468 26045109616 30809458936 52090219232 61618917872 104180438464 123237835744 157898477047 208360876928 246475671488 315796954094 416721753856 492951342976 631593908188 985902685952 1263187816376 2526375632752 5052751265504 10105502531008 20211005062016 40422010124032