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14179121424 = 2432137574317
BaseRepresentation
bin11010011010010010…
…00011100100010000
31100121011111222222100
431031021003210100
5213014323341144
610302551440400
71011241354266
oct151511034420
940534458870
1014179121424
116016820876
1228b8686100
13144c765ba0
149871c2436
1557ec16269
hex34d243910

14179121424 has 60 divisors (see below), whose sum is σ = 42734302156. Its totient is φ = 4362806016.

The previous prime is 14179121417. The next prime is 14179121459. The reversal of 14179121424 is 42412197141.

It is a happy number.

14179121424 is a `hidden beast` number, since 1 + 41 + 79 + 121 + 424 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5393433600 + 8785687824 = 73440^2 + 93732^2 .

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3785287 + ... + 3789030.

Almost surely, 214179121424 is an apocalyptic number.

It is an amenable number.

14179121424 is an abundant number, since it is smaller than the sum of its proper divisors (28555180732).

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

14179121424 is a wasteful number, since it uses less digits than its factorization.

14179121424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7574344 (or 7574335 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The spelling of 14179121424 in words is "fourteen billion, one hundred seventy-nine million, one hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 7574317 15148634 22722951 30297268 45445902 60594536 68168853 90891804 98466121 121189072 136337706 181783608 196932242 272675412 295398363 363567216 393864484 545350824 590796726 787728968 886195089 1090701648 1181593452 1575457936 1772390178 2363186904 3544780356 4726373808 7089560712 14179121424