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14033382288 = 2432322515647
BaseRepresentation
bin11010001000111010…
…00110101110010000
31100020000021200110120
431010131012232100
5212220021213123
610240304030240
71004521531662
oct150435065620
940200250416
1014033382288
115a51529902
122877902380
1314284c9503
14971ac6532
155720292e3
hex344746b90

14033382288 has 80 divisors (see below), whose sum is σ = 37852624896. Its totient is φ = 4471632000.

The previous prime is 14033382217. The next prime is 14033382353. The reversal of 14033382288 is 88228333041.

It is a super-2 number, since 2×140333822882 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2482281 + ... + 2487927.

Almost surely, 214033382288 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 14033382288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18926312448).

14033382288 is an abundant number, since it is smaller than the sum of its proper divisors (23819242608).

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

14033382288 is a wasteful number, since it uses less digits than its factorization.

14033382288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7932 (or 7926 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 14033382288 in words is "fourteen billion, thirty-three million, three hundred eighty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 2251 4502 5647 6753 9004 11294 13506 16941 18008 22588 27012 33882 36016 45176 51773 54024 67764 90352 103546 108048 129881 135528 155319 207092 259762 271056 310638 389643 414184 519524 621276 779286 828368 1039048 1242552 1558572 2078096 2485104 3117144 6234288 12711397 25422794 38134191 50845588 76268382 101691176 152536764 203382352 292362131 305073528 584724262 610147056 877086393 1169448524 1754172786 2338897048 3508345572 4677794096 7016691144 14033382288