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14114629984 = 2571317285121
BaseRepresentation
bin11010010010100110…
…00010100101100000
31100102200011111100111
431021103002211200
5212401321124414
610252325301104
71006526242510
oct151123024540
940380144314
1014114629984
115a93382464
12289ab64794
13143c2a5780
1497c7d5840
155792278c4
hex3494c2960

14114629984 has 96 divisors (see below), whose sum is σ = 36212774976. Its totient is φ = 5255331840.

The previous prime is 14114629981. The next prime is 14114630009. The reversal of 14114629984 is 48992641141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14114629981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93057 + ... + 192064.

It is an arithmetic number, because the mean of its divisors is an integer number (377216406).

Almost surely, 214114629984 is an apocalyptic number.

14114629984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14114629984 is an abundant number, since it is smaller than the sum of its proper divisors (22098144992).

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

14114629984 is a wasteful number, since it uses less digits than its factorization.

14114629984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285168 (or 285160 counting only the distinct ones).

The product of its digits is 497664, while the sum is 49.

The spelling of 14114629984 in words is "fourteen billion, one hundred fourteen million, six hundred twenty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 68 91 104 112 119 136 182 208 221 224 238 272 364 416 442 476 544 728 884 952 1456 1547 1768 1904 2912 3094 3536 3808 6188 7072 12376 24752 49504 285121 570242 1140484 1995847 2280968 3706573 3991694 4561936 4847057 7413146 7983388 9123872 9694114 14826292 15966776 19388228 25946011 29652584 31933552 33929399 38776456 51892022 59305168 63011741 63867104 67858798 77552912 103784044 118610336 126023482 135717596 155105824 207568088 252046964 271435192 415136176 441082187 504093928 542870384 830272352 882164374 1008187856 1085740768 1764328748 2016375712 3528657496 7057314992 14114629984