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14022017128 = 2372975111497
BaseRepresentation
bin11010000111100011…
…10000000001101000
31100012012220021101201
431003301300001220
5212204114022003
610235220253544
71004323115260
oct150361600150
940165807351
1014022017128
115a46077009
122873b412b4
13142604a472
149703a87a0
15571031b1d
hex343c70068

14022017128 has 64 divisors (see below), whose sum is σ = 31127385600. Its totient is φ = 5793984000.

The previous prime is 14022017117. The next prime is 14022017147. The reversal of 14022017128 is 82171022041.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 14022017096 and 14022017105.

It is an unprimeable number.

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, 1213876 + ... + 1225372.

It is an arithmetic number, because the mean of its divisors is an integer number (486365400).

Almost surely, 214022017128 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 14022017128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15563692800).

14022017128 is an abundant number, since it is smaller than the sum of its proper divisors (17105368472).

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

14022017128 is a wasteful number, since it uses less digits than its factorization.

14022017128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12290 (or 12286 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

Adding to 14022017128 its reverse (82171022041), we get a palindrome (96193039169).

The spelling of 14022017128 in words is "fourteen billion, twenty-two million, seventeen thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 751 812 1502 1624 3004 5257 6008 10514 11497 21028 21779 22994 42056 43558 45988 80479 87116 91976 152453 160958 174232 304906 321916 333413 609812 643832 666826 1219624 1333652 2333891 2667304 4667782 8634247 9335564 17268494 18671128 34536988 60439729 69073976 120879458 241758916 250393163 483517832 500786326 1001572652 1752752141 2003145304 3505504282 7011008564 14022017128