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14002726272 = 273271313441
BaseRepresentation
bin11010000101010000…
…01010010110000000
31100010212121012022120
431002220022112000
5212134144220042
610233251004240
71004000131563
oct150250122600
940125535276
1014002726272
115a361a0557
122869599680
131422054a62
1496b9c64da
1556e4c0dec
hex342a0a580

14002726272 has 64 divisors (see below), whose sum is σ = 37211219760. Its totient is φ = 4665507840.

The previous prime is 14002726211. The next prime is 14002726289. The reversal of 14002726272 is 27262720041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1035072 + ... + 1048512.

Almost surely, 214002726272 is an apocalyptic number.

14002726272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14002726272 is an abundant number, since it is smaller than the sum of its proper divisors (23208493488).

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

14002726272 is a wasteful number, since it uses less digits than its factorization.

14002726272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16171 (or 16159 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The spelling of 14002726272 in words is "fourteen billion, two million, seven hundred twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 2713 5426 8139 10852 13441 16278 21704 26882 32556 40323 43408 53764 65112 80646 86816 107528 130224 161292 173632 215056 260448 322584 347264 430112 520896 645168 860224 1041792 1290336 1720448 2580672 5161344 36465433 72930866 109396299 145861732 218792598 291723464 437585196 583446928 875170392 1166893856 1750340784 2333787712 3500681568 4667575424 7001363136 14002726272