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104440212032 = 26132311348299
BaseRepresentation
bin110000101000100011…
…1110010101001000000
3100222120121200111002012
41201101013302221000
53202343143241112
6115551300112052
710355061104042
oct1412107625100
9328517614065
10104440212032
1140324860122
12182a8995628
139b056b1940
1450aaa45a92
152ab3e68022
hex18511f2a40

104440212032 has 112 divisors (see below), whose sum is σ = 234960566400. Its totient is φ = 45698408448.

The previous prime is 104440211999. The next prime is 104440212061. The reversal of 104440212032 is 230212044401.

104440212032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 104440211989 and 104440212007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2138219 + ... + 2186517.

It is an arithmetic number, because the mean of its divisors is an integer number (2097862200).

Almost surely, 2104440212032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104440212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117480283200).

104440212032 is an abundant number, since it is smaller than the sum of its proper divisors (130520354368).

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

104440212032 is a wasteful number, since it uses less digits than its factorization.

104440212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48460 (or 48450 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 104440212032 its reverse (230212044401), we get a palindrome (334652256433).

The spelling of 104440212032 in words is "one hundred four billion, four hundred forty million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 113 184 208 226 299 368 416 452 598 736 832 904 1196 1469 1472 1808 2392 2599 2938 3616 4784 5198 5876 7232 9568 10396 11752 19136 20792 23504 33787 41584 47008 48299 67574 83168 94016 96598 135148 166336 193196 270296 386392 540592 627887 772784 1081184 1110877 1255774 1545568 2162368 2221754 2511548 3091136 4443508 5023096 5457787 8887016 10046192 10915574 14441401 17774032 20092384 21831148 28882802 35548064 40184768 43662296 57765604 70951231 71096128 87324592 115531208 125529101 141902462 174649184 231062416 251058202 283804924 349298368 462124832 502116404 567609848 924249664 1004232808 1135219696 1631878313 2008465616 2270439392 3263756626 4016931232 4540878784 6527513252 8033862464 13055026504 26110053008 52220106016 104440212032