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14000321314112 = 267472749241873
BaseRepresentation
bin1100101110111011010000…
…1011011011110101000000
31211120102021110112101212012
43023232310023123311000
53313340124224022422
645435354145552052
72643330004441310
oct313566413336500
954512243471765
1014000321314112
114508559437741
1216a1433345628
137a72bc6a5343
14365894dcd440
151942a921c4e2
hexcbbb42dbd40

14000321314112 has 112 divisors (see below), whose sum is σ = 32438205888000. Its totient is φ = 5870314708992.

The previous prime is 14000321314099. The next prime is 14000321314151. The reversal of 14000321314112 is 21141312300041.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57762008 + ... + 58003880.

Almost surely, 214000321314112 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 14000321314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16219102944000).

14000321314112 is an abundant number, since it is smaller than the sum of its proper divisors (18437884573888).

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

14000321314112 is a wasteful number, since it uses less digits than its factorization.

14000321314112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244688 (or 244678 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 14000321314112 its reverse (21141312300041), we get a palindrome (35141633614153).

The spelling of 14000321314112 in words is "fourteen trillion, three hundred twenty-one million, three hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 188 224 329 376 448 658 752 1316 1504 2632 2749 3008 5264 5498 10528 10996 19243 21056 21992 38486 43984 76972 87968 129203 153944 175936 241873 258406 307888 483746 516812 615776 904421 967492 1033624 1231552 1693111 1808842 1934984 2067248 3386222 3617684 3869968 4134496 6772444 7235368 7739936 8268992 11368031 13544888 14470736 15479872 22736062 27089776 28941472 45472124 54179552 57882944 79576217 90944248 108359104 159152434 181888496 318304868 363776992 636609736 664908877 727553984 1273219472 1329817754 2546438944 2659635508 4654362139 5092877888 5319271016 9308724278 10638542032 18617448556 21277084064 31250717219 37234897112 42554168128 62501434438 74469794224 125002868876 148939588448 218755020533 250005737752 297879176896 437510041066 500011475504 875020082132 1000022951008 1750040164264 2000045902016 3500080328528 7000160657056 14000321314112