Search a number
-
+
14456808120 = 2335432801707
BaseRepresentation
bin11010111011011000…
…10110001010111000
31101022112000221111210
431131230112022320
5214101420324440
610350311323120
71021152561426
oct153554261270
941275027453
1014456808120
116149544a07
1229756804a0
131495150641
149b2028116
155992b8a80
hex35db162b8

14456808120 has 64 divisors (see below), whose sum is σ = 44379054720. Its totient is φ = 3765492864.

The previous prime is 14456808097. The next prime is 14456808127. The reversal of 14456808120 is 2180865441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14456808127) 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, 1395694 + ... + 1406013.

It is an arithmetic number, because the mean of its divisors is an integer number (693422730).

Almost surely, 214456808120 is an apocalyptic number.

14456808120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14456808120 is an abundant number, since it is smaller than the sum of its proper divisors (29922246600).

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

14456808120 is a wasteful number, since it uses less digits than its factorization.

14456808120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801764 (or 2801760 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 14456808120 in words is "fourteen billion, four hundred fifty-six million, eight hundred eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 2801707 5603414 8405121 11206828 14008535 16810242 22413656 28017070 33620484 42025605 56034140 67240968 84051210 112068280 120473401 168102420 240946802 336204840 361420203 481893604 602367005 722840406 963787208 1204734010 1445680812 1807101015 2409468020 2891361624 3614202030 4818936040 7228404060 14456808120