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14385424344 = 23317101349093
BaseRepresentation
bin11010110010111000…
…00010011111011000
31101010112201021101020
431121130002133120
5213430132034334
610335241322440
71016325042444
oct153134023730
941115637336
1014385424344
116112219255
122955796420
131483419015
149a6765824
15592db7e49
hex3597027d8

14385424344 has 64 divisors (see below), whose sum is σ = 38456195040. Its totient is φ = 4468377600.

The previous prime is 14385424283. The next prime is 14385424349. The reversal of 14385424344 is 44342458341.

It is a happy number.

14385424344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14385424296 and 14385424305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14385424349) 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, 133339 + ... + 215754.

Almost surely, 214385424344 is an apocalyptic number.

It is an amenable number.

14385424344 is an abundant number, since it is smaller than the sum of its proper divisors (24070770696).

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

14385424344 is a wasteful number, since it uses less digits than its factorization.

14385424344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349220 (or 349216 counting only the distinct ones).

The product of its digits is 737280, while the sum is 42.

The spelling of 14385424344 in words is "fourteen billion, three hundred eighty-five million, four hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 101 102 136 202 204 303 404 408 606 808 1212 1717 2424 3434 5151 6868 10302 13736 20604 41208 349093 698186 1047279 1396372 2094558 2792744 4189116 5934581 8378232 11869162 17803743 23738324 35258393 35607486 47476648 70516786 71214972 105775179 141033572 142429944 211550358 282067144 423100716 599392681 846201432 1198785362 1798178043 2397570724 3596356086 4795141448 7192712172 14385424344