Search a number
-
+
400132122004446 = 23133231319757911
BaseRepresentation
bin101101011111010110000010…
…0111111101100101111011110
31221110202020221120010100121220
41122332230010333230233132
5404421231041213120241
63535002054220034210
7150165406665301506
oct13276540477545736
91843666846110556
10400132122004446
111065490974a3107
1238a64352092966
13142363b2c46000
1470b46d888aa06
15313d54c404166
hex16beb04fecbde

400132122004446 has 64 divisors (see below), whose sum is σ = 904614863201280. Its totient is φ = 117764637825120.

The previous prime is 400132122004429. The next prime is 400132122004451. The reversal of 400132122004446 is 644400221231004.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 659575770 + ... + 660182141.

It is an arithmetic number, because the mean of its divisors is an integer number (14134607237520).

Almost surely, 2400132122004446 is an apocalyptic number.

400132122004446 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

400132122004446 is an abundant number, since it is smaller than the sum of its proper divisors (504482741196834).

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

400132122004446 is a wasteful number, since it uses less digits than its factorization.

400132122004446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319757978 (or 1319757952 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 400132122004446 in words is "four hundred trillion, one hundred thirty-two billion, one hundred twenty-two million, four thousand, four hundred forty-six".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 169 299 338 507 598 897 1014 1794 2197 3887 4394 6591 7774 11661 13182 23322 50531 101062 151593 303186 1319757911 2639515822 3959273733 7918547466 17156852843 30354431953 34313705686 51470558529 60708863906 91063295859 102941117058 182126591718 223039086959 394607615389 446078173918 669117260877 789215230778 1183822846167 1338234521754 2367645692334 2899508130467 5129899000057 5799016260934 8698524391401 10259798000114 15389697000171 17397048782802 30779394000342 66688687000741 133377374001482 200066061002223 400132122004446