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14341207464 = 233422131493
BaseRepresentation
bin11010101101100110…
…10111010110101000
31101000110111211020000
431112303113112220
5213332322114324
610331021503000
71015250152323
oct152663272650
941013454200
1014341207464
11609a268481
122942a11a60
131477206c9c
149a09357ba
1558e0819c9
hex356cd75a8

14341207464 has 40 divisors (see below), whose sum is σ = 40168661610. Its totient is φ = 4780402272.

The previous prime is 14341207459. The next prime is 14341207471. The reversal of 14341207464 is 46470214341.

It can be written as a sum of positive squares in only one way, i.e., 13085072100 + 1256135364 = 114390^2 + 35442^2 .

It is a super-2 number, since 2×143412074642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11065099 + ... + 11066394.

Almost surely, 214341207464 is an apocalyptic number.

It is an amenable number.

14341207464 is an abundant number, since it is smaller than the sum of its proper divisors (25827454146).

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

14341207464 is a wasteful number, since it uses less digits than its factorization.

14341207464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22131511 (or 22131498 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 14341207464 in words is "fourteen billion, three hundred forty-one million, two hundred seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 22131493 44262986 66394479 88525972 132788958 177051944 199183437 265577916 398366874 531155832 597550311 796733748 1195100622 1593467496 1792650933 2390201244 3585301866 4780402488 7170603732 14341207464