Search a number
-
+
32442410314404 = 2232953945622313
BaseRepresentation
bin1110110000001100101100…
…10101111010101010100100
311020212110112100121011201100
413120012112111322222210
513223014024020030104
6152555500524400100
76555613112461626
oct730062625725244
9136773470534640
1032442410314404
11a37882693a152
12377b6816a6030
1315143c985183c
14802314752c16
153b3d7ca99139
hex1d819657aaa4

32442410314404 has 36 divisors (see below), whose sum is σ = 82093255567596. Its totient is φ = 10802789292288.

The previous prime is 32442410314403. The next prime is 32442410314429. The reversal of 32442410314404 is 40441301424423.

32442410314404 is a `hidden beast` number, since 3 + 2 + 4 + 4 + 241 + 0 + 3 + 1 + 4 + 404 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23126192460900 + 9316217853504 = 4808970^2 + 3052248^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×324424103144042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (32442410314403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 472776849 + ... + 472845464.

It is an arithmetic number, because the mean of its divisors is an integer number (2280368210211).

Almost surely, 232442410314404 is an apocalyptic number.

It is an amenable number.

32442410314404 is an abundant number, since it is smaller than the sum of its proper divisors (49650845253192).

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

32442410314404 is a wasteful number, since it uses less digits than its factorization.

32442410314404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945623276 (or 945623271 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 32442410314404 its reverse (40441301424423), we get a palindrome (72883711738827).

The spelling of 32442410314404 in words is "thirty-two trillion, four hundred forty-two billion, four hundred ten million, three hundred fourteen thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 953 1906 2859 3812 5718 8577 11436 17154 34308 945622313 1891244626 2836866939 3782489252 5673733878 8510600817 11347467756 17021201634 34042403268 901178064289 1802356128578 2703534192867 3604712257156 5407068385734 8110602578601 10814136771468 16221205157202 32442410314404