Search a number
-
+
14332447968 = 253798322769
BaseRepresentation
bin11010101100100011…
…11100110011100000
31100222212000210110020
431112101330303200
5213323101313333
610330110033440
71015112540406
oct152621746340
940885023406
1014332447968
116095325323
12293baa8880
13147545ac57
1499d6d5476
1558d4013b3
hex35647cce0

14332447968 has 96 divisors (see below), whose sum is σ = 38559628800. Its totient is φ = 4659972096.

The previous prime is 14332447963. The next prime is 14332447979. The reversal of 14332447968 is 86974423341.

It is a happy number.

14332447968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 14332447968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14332447963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 618088 + ... + 640856.

It is an arithmetic number, because the mean of its divisors is an integer number (401662800).

Almost surely, 214332447968 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 14332447968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19279814400).

14332447968 is an abundant number, since it is smaller than the sum of its proper divisors (24227180832).

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

14332447968 is a wasteful number, since it uses less digits than its factorization.

14332447968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22944 (or 22936 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The spelling of 14332447968 in words is "fourteen billion, three hundred thirty-two million, four hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 83 96 158 166 237 249 316 332 474 498 632 664 948 996 1264 1328 1896 1992 2528 2656 3792 3984 6557 7584 7968 13114 19671 22769 26228 39342 45538 52456 68307 78684 91076 104912 136614 157368 182152 209824 273228 314736 364304 546456 629472 728608 1092912 1798751 1889827 2185824 3597502 3779654 5396253 5669481 7195004 7559308 10792506 11338962 14390008 15118616 21585012 22677924 28780016 30237232 43170024 45355848 57560032 60474464 86340048 90711696 149296333 172680096 181423392 298592666 447888999 597185332 895777998 1194370664 1791555996 2388741328 3583111992 4777482656 7166223984 14332447968