Search a number
-
+
14492802744 = 2333716015987
BaseRepresentation
bin11010111111101011…
…01001111010111000
31101102000202122212000
431133311221322320
5214140124141434
610354035021000
71022100535140
oct153765517270
941360678760
1014492802744
11616789a232
12298573a760
13149c744034
149b6b17920
1559c528b99
hex35fd69eb8

14492802744 has 128 divisors (see below), whose sum is σ = 46045324800. Its totient is φ = 4137523200.

The previous prime is 14492802733. The next prime is 14492802749. The reversal of 14492802744 is 44720829441.

14492802744 is a `hidden beast` number, since 14 + 492 + 80 + 2 + 74 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 14492802744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14492802749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2417719 + ... + 2423705.

It is an arithmetic number, because the mean of its divisors is an integer number (359729100).

Almost surely, 214492802744 is an apocalyptic number.

14492802744 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 14492802744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23022662400).

14492802744 is an abundant number, since it is smaller than the sum of its proper divisors (31552522056).

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

14492802744 is a wasteful number, since it uses less digits than its factorization.

14492802744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7610 (or 7600 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 14492802744 in words is "fourteen billion, four hundred ninety-two million, eight hundred two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 1601 3202 4803 5987 6404 9606 11207 11974 12808 14409 17961 19212 22414 23948 28818 33621 35922 38424 41909 43227 44828 47896 53883 57636 67242 71844 83818 86454 89656 100863 107766 115272 125727 134484 143688 161649 167636 172908 201726 215532 251454 268968 302589 323298 335272 345816 377181 403452 431064 502908 605178 646596 754362 806904 1005816 1131543 1210356 1293192 1508724 2263086 2420712 3017448 4526172 9052344 9585187 19170374 28755561 38340748 57511122 67096309 76681496 86266683 115022244 134192618 172533366 201288927 230044488 258800049 268385236 345066732 402577854 517600098 536770472 603866781 690133464 805155708 1035200196 1207733562 1610311416 1811600343 2070400392 2415467124 3623200686 4830934248 7246401372 14492802744