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14413801424 = 24111717772711
BaseRepresentation
bin11010110110010000…
…10010011111010000
31101012112002222102012
431123020102133100
5214004413121144
610342133442052
71020121201451
oct153310223720
941175088365
1014413801424
116127240390
1229631a0328
1314892733a9
149aa431128
15595620e9e
hex35b2127d0

14413801424 has 80 divisors (see below), whose sum is σ = 32287683456. Its totient is φ = 6160588800.

The previous prime is 14413801403. The next prime is 14413801433. The reversal of 14413801424 is 42410831441.

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, 5315429 + ... + 5318139.

Almost surely, 214413801424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14413801424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16143841728).

14413801424 is an abundant number, since it is smaller than the sum of its proper divisors (17873882032).

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

14413801424 is a wasteful number, since it uses less digits than its factorization.

14413801424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4524 (or 4518 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 14413801424 in words is "fourteen billion, four hundred thirteen million, eight hundred one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 748 1496 1777 2711 2992 3554 5422 7108 10844 14216 19547 21688 28432 29821 30209 39094 43376 46087 59642 60418 78188 92174 119284 120836 156376 184348 238568 241672 312752 332299 368696 477136 483344 506957 664598 737392 1013914 1329196 2027828 2658392 4055656 4817447 5316784 8111312 9634894 19269788 38539576 52991917 77079152 81896599 105983834 163793198 211967668 327586396 423935336 655172792 847870672 900862589 1310345584 1801725178 3603450356 7206900712 14413801424