Search a number
-
+
14772304344 = 2337439200297
BaseRepresentation
bin11011100000111111…
…10111100111011000
31102010111200210222010
431300133313213120
5220223202214334
610441501425520
71032033341460
oct156037674730
942114623863
1014772304344
1162a0642996
122a4326b2a0
1315156158b5
14a01cb2ba0
155b6d390e9
hex3707f79d8

14772304344 has 64 divisors (see below), whose sum is σ = 42302937600. Its totient is φ = 4211023104.

The previous prime is 14772304307. The next prime is 14772304361. The reversal of 14772304344 is 44340327741.

It is a super-2 number, since 2×147723043442 (a number of 21 digits) contains 22 as substring.

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, 26397 + ... + 173900.

It is an arithmetic number, because the mean of its divisors is an integer number (660983400).

Almost surely, 214772304344 is an apocalyptic number.

14772304344 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 14772304344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21151468800).

14772304344 is an abundant number, since it is smaller than the sum of its proper divisors (27530633256).

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

14772304344 is a wasteful number, since it uses less digits than its factorization.

14772304344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200752 (or 200748 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 39.

The spelling of 14772304344 in words is "fourteen billion, seven hundred seventy-two million, three hundred four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 439 878 1317 1756 2634 3073 3512 5268 6146 9219 10536 12292 18438 24584 36876 73752 200297 400594 600891 801188 1201782 1402079 1602376 2403564 2804158 4206237 4807128 5608316 8412474 11216632 16824948 33649896 87930383 175860766 263791149 351721532 527582298 615512681 703443064 1055164596 1231025362 1846538043 2110329192 2462050724 3693076086 4924101448 7386152172 14772304344