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14289004716 = 22373124122769
BaseRepresentation
bin11010100111011000…
…01110100010101100
31100212211021122111220
431103230032202230
5213230441122331
610321514543340
71014044351610
oct152354164254
940784248456
1014289004716
116072852808
122929437b50
13146945a09c
14997a27340
155896be296
hex353b0e8ac

14289004716 has 96 divisors (see below), whose sum is σ = 39498117120. Its totient is φ = 3934310400.

The previous prime is 14289004673. The next prime is 14289004721. The reversal of 14289004716 is 61740098241.

14289004716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 616180 + ... + 638948.

It is an arithmetic number, because the mean of its divisors is an integer number (411438720).

Almost surely, 214289004716 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 14289004716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19749058560).

14289004716 is an abundant number, since it is smaller than the sum of its proper divisors (25209112404).

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

14289004716 is a wasteful number, since it uses less digits than its factorization.

14289004716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23055 (or 23053 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 14289004716 in words is "fourteen billion, two hundred eighty-nine million, four thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 241 372 434 482 651 723 868 964 1302 1446 1687 2604 2892 3374 5061 6748 7471 10122 14942 20244 22413 22769 29884 44826 45538 52297 68307 89652 91076 104594 136614 156891 159383 209188 273228 313782 318766 478149 627564 637532 705839 956298 1411678 1912596 2117517 2823356 4235034 4940873 5487329 8470068 9881746 10974658 14822619 16461987 19763492 21949316 29645238 32923974 38411303 59290476 65847948 76822606 115233909 153645212 170107199 230467818 340214398 460935636 510321597 680428796 1020643194 1190750393 2041286388 2381500786 3572251179 4763001572 7144502358 14289004716