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14421311424320 = 265353127667417
BaseRepresentation
bin1101000111011011100100…
…1001010000011101000000
31220001122220222200211222012
43101312321021100131000
53342234321211034240
650401020425032052
73015622353360023
oct321667111203500
956048828624865
1014421311424320
114660053377559
12174ab44025628
13807c01874b28
1437bdd0b6d1ba
151a01e875cb65
hexd1db9250740

14421311424320 has 56 divisors (see below), whose sum is σ = 34438030670664. Its totient is φ = 5752183095296.

The previous prime is 14421311424319. The next prime is 14421311424329. The reversal of 14421311424320 is 2342411312441.

It can be written as a sum of positive squares in 4 ways, for example, as 5518439946496 + 8902871477824 = 2349136^2 + 2983768^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14421311424329) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 63720749 + ... + 63946668.

Almost surely, 214421311424320 is an apocalyptic number.

14421311424320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14421311424320 is an abundant number, since it is smaller than the sum of its proper divisors (20016719246344).

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

14421311424320 is a wasteful number, since it uses less digits than its factorization.

14421311424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127667787 (or 127667777 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 14421311424320 its reverse (2342411312441), we get a palindrome (16763722736761).

The spelling of 14421311424320 in words is "fourteen trillion, four hundred twenty-one billion, three hundred eleven million, four hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 353 706 1412 1765 2824 3530 5648 7060 11296 14120 22592 28240 56480 112960 127667417 255334834 510669668 638337085 1021339336 1276674170 2042678672 2553348340 4085357344 5106696680 8170714688 10213393360 20426786720 40853573440 45066598201 90133196402 180266392804 225332991005 360532785608 450665982010 721065571216 901331964020 1442131142432 1802663928040 2884262284864 3605327856080 7210655712160 14421311424320