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14057243208 = 2332833896047
BaseRepresentation
bin11010001011110000…
…01000001001001000
31100021200011221111100
431011320020021020
5212242123240313
610242515301400
71005231411231
oct150570101110
940250157440
1014057243208
115a63a46978
1228838aa860
1314304320b8
14974d38088
1557418e173
hex345e08248

14057243208 has 96 divisors (see below), whose sum is σ = 38635833600. Its totient is φ = 4616628864.

The previous prime is 14057243191. The next prime is 14057243257. The reversal of 14057243208 is 80234275041.

It is a happy number.

14057243208 is a `hidden beast` number, since 1 + 40 + 572 + 43 + 2 + 0 + 8 = 666.

It is a super-3 number, since 3×140572432083 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2321641 + ... + 2327687.

It is an arithmetic number, because the mean of its divisors is an integer number (402456600).

Almost surely, 214057243208 is an apocalyptic number.

14057243208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14057243208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19317916800).

14057243208 is an abundant number, since it is smaller than the sum of its proper divisors (24578590392).

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

14057243208 is a wasteful number, since it uses less digits than its factorization.

14057243208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6531 (or 6524 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 14057243208 in words is "fourteen billion, fifty-seven million, two hundred forty-three thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 389 498 664 747 778 996 1167 1494 1556 1992 2334 2988 3112 3501 4668 5976 6047 7002 9336 12094 14004 18141 24188 28008 32287 36282 48376 54423 64574 72564 96861 108846 129148 145128 193722 217692 258296 290583 387444 435384 501901 581166 774888 1003802 1162332 1505703 2007604 2324664 2352283 3011406 4015208 4517109 4704566 6022812 7056849 9034218 9409132 12045624 14113698 18068436 18818264 21170547 28227396 36136872 42341094 56454792 84682188 169364376 195239489 390478978 585718467 780957956 1171436934 1561915912 1757155401 2342873868 3514310802 4685747736 7028621604 14057243208