Search a number
-
+
4432136312344 = 2313223191106257
BaseRepresentation
bin100000001111110111111…
…1010010001011000011000
3120200201010012101212220111
41000133233322101120120
51040104003343443334
613232032330534104
7635132320025626
oct100375772213030
916621105355814
104432136312344
111459727448094
125b6b89597334
13261c44291bc0
1411473356a516
157a453d19064
hex407efe91618

4432136312344 has 32 divisors (see below), whose sum is σ = 8989638376320. Its totient is φ = 2036428263936.

The previous prime is 4432136312339. The next prime is 4432136312363.

4432136312344 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44321363123442 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4432136312297 and 4432136312306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95529937 + ... + 95576320.

It is an arithmetic number, because the mean of its divisors is an integer number (280926199260).

Almost surely, 24432136312344 is an apocalyptic number.

It is an amenable number.

4432136312344 is an abundant number, since it is smaller than the sum of its proper divisors (4557502063976).

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

4432136312344 is a wasteful number, since it uses less digits than its factorization.

4432136312344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191106499 (or 191106495 counting only the distinct ones).

The product of its digits is 497664, while the sum is 40.

The spelling of 4432136312344 in words is "four trillion, four hundred thirty-two billion, one hundred thirty-six million, three hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 223 446 892 1784 2899 5798 11596 23192 191106257 382212514 764425028 1528850056 2484381341 4968762682 9937525364 19875050728 42616695311 85233390622 170466781244 340933562488 554017039043 1108034078086 2216068156172 4432136312344