Search a number
-
+
5444406430968 = 2332910177449733
BaseRepresentation
bin100111100111001111111…
…1010010100110011111000
3201021110222001012220211110
41033032133322110303320
51203200121021242333
615325043100400320
71101226316045361
oct117163772246370
921243861186743
105444406430968
111809a6154978a
1273b1b48460a0
1330653665a05b
1414b721426b68
159694c8ab063
hex4f39fe94cf8

5444406430968 has 64 divisors (see below), whose sum is σ = 14219771162400. Its totient is φ = 1734873996800.

The previous prime is 5444406430961. The next prime is 5444406431011. The reversal of 5444406430968 is 8690346044445.

It is a happy number.

It is a super-2 number, since 2×54444064309682 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5444406430961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38654571 + ... + 38795162.

Almost surely, 25444406430968 is an apocalyptic number.

5444406430968 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

5444406430968 is an abundant number, since it is smaller than the sum of its proper divisors (8775364731432).

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

5444406430968 is a wasteful number, since it uses less digits than its factorization.

5444406430968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77449872 (or 77449868 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 57.

The spelling of 5444406430968 in words is "five trillion, four hundred forty-four billion, four hundred six million, four hundred thirty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 101 116 174 202 232 303 348 404 606 696 808 1212 2424 2929 5858 8787 11716 17574 23432 35148 70296 77449733 154899466 232349199 309798932 464698398 619597864 929396796 1858793592 2246042257 4492084514 6738126771 7822423033 8984169028 13476253542 15644846066 17968338056 23467269099 26952507084 31289692132 46934538198 53905014168 62579384264 93869076396 187738152792 226850267957 453700535914 680550803871 907401071828 1361101607742 1814802143656 2722203215484 5444406430968