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14057444800 = 265271255129
BaseRepresentation
bin11010001011110001…
…11001010111000000
31100021200120012000201
431011320321113000
5212242201213200
610242523454544
71005233211040
oct150570712700
940250505021
1014057444800
115a64074383
122883987454
1314304a2a99
14974d8b720
155741cdc6a
hex345e395c0

14057444800 has 84 divisors (see below), whose sum is σ = 39531574480. Its totient is φ = 4819691520.

The previous prime is 14057444759. The next prime is 14057444831. The reversal of 14057444800 is 844475041.

It is a happy number.

It is a super-3 number, since 3×140574448003 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 14057444800.

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, 616365 + ... + 638764.

Almost surely, 214057444800 is an apocalyptic number.

14057444800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14057444800 is an abundant number, since it is smaller than the sum of its proper divisors (25474129680).

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

14057444800 is a wasteful number, since it uses less digits than its factorization.

14057444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255158 (or 1255143 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 37.

The spelling of 14057444800 in words is "fourteen billion, fifty-seven million, four hundred forty-four thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 140 160 175 200 224 280 320 350 400 448 560 700 800 1120 1400 1600 2240 2800 5600 11200 1255129 2510258 5020516 6275645 8785903 10041032 12551290 17571806 20082064 25102580 31378225 35143612 40164128 43929515 50205160 62756450 70287224 80328256 87859030 100410320 125512900 140574448 175718060 200820640 219647575 251025800 281148896 351436120 401641280 439295150 502051600 562297792 702872240 878590300 1004103200 1405744480 1757180600 2008206400 2811488960 3514361200 7028722400 14057444800