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14349778416 = 2432571117449
BaseRepresentation
bin11010101110101000…
…00011110111110000
31101001001122021100200
431113110003313300
5213342020402131
610331525315200
71015413050451
oct152724036760
941031567320
1014349778416
1160a4091a06
122945865b00
131478c1825c
149a1b27128
1558ebc62e6
hex357503df0

14349778416 has 60 divisors (see below), whose sum is σ = 40168783200. Its totient is φ = 4782147840.

The previous prime is 14349778393. The next prime is 14349778427. The reversal of 14349778416 is 61487794341.

It is a happy number.

14349778416 is a `hidden beast` number, since 1 + 43 + 497 + 78 + 41 + 6 = 666.

It is a super-2 number, since 2×143497784162 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 813660 + ... + 831108.

It is an arithmetic number, because the mean of its divisors is an integer number (669479720).

Almost surely, 214349778416 is an apocalyptic number.

14349778416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14349778416 is an abundant number, since it is smaller than the sum of its proper divisors (25819004784).

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

14349778416 is a wasteful number, since it uses less digits than its factorization.

14349778416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23174 (or 23165 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 14349778416 in words is "fourteen billion, three hundred forty-nine million, seven hundred seventy-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 5711 11422 17133 17449 22844 34266 34898 45688 51399 52347 68532 69796 91376 102798 104694 137064 139592 157041 205596 209388 274128 279184 314082 411192 418776 628164 822384 837552 1256328 2512656 99651239 199302478 298953717 398604956 597907434 797209912 896861151 1195814868 1594419824 1793722302 2391629736 3587444604 4783259472 7174889208 14349778416