Search a number
-
+
14332431344 = 2471115837349
BaseRepresentation
bin11010101100100011…
…11000101111110000
31100222211222221122112
431112101320233300
5213323100300334
610330105424452
71015112441060
oct152621705760
940884887575
1014332431344
116095313890
12293ba9b128
13147545350a
1499d6cd3a0
1558d3eb4ce
hex356478bf0

14332431344 has 80 divisors (see below), whose sum is σ = 34647782400. Its totient is φ = 5579777280.

The previous prime is 14332431293. The next prime is 14332431353. The reversal of 14332431344 is 44313423341.

It is a self number, because there is not a number n which added to its sum of digits gives 14332431344.

It is a congruent number.

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, 1946582 + ... + 1953930.

It is an arithmetic number, because the mean of its divisors is an integer number (433097280).

Almost surely, 214332431344 is an apocalyptic number.

14332431344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14332431344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17323891200).

14332431344 is an abundant number, since it is smaller than the sum of its proper divisors (20315351056).

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

14332431344 is a wasteful number, since it uses less digits than its factorization.

14332431344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8958 (or 8952 counting only the distinct ones).

The product of its digits is 41472, while the sum is 32.

Adding to 14332431344 its reverse (44313423341), we get a palindrome (58645854685).

The spelling of 14332431344 in words is "fourteen billion, three hundred thirty-two million, four hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 1583 3166 6332 7349 11081 12664 14698 17413 22162 25328 29396 34826 44324 51443 58792 69652 80839 88648 102886 117584 121891 139304 161678 177296 205772 243782 278608 323356 411544 487564 565873 646712 823088 975128 1131746 1293424 1950256 2263492 4526984 9053968 11633467 23266934 46533868 81434269 93067736 127968137 162868538 186135472 255936274 325737076 511872548 651474152 895776959 1023745096 1302948304 1791553918 2047490192 3583107836 7166215672 14332431344