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14008282359696 = 24323118972
BaseRepresentation
bin1100101111011000111010…
…1100011010011110010000
31211121011211021122102100100
43023312032230122132100
53314002430241002241
645443152134452400
72644031203266612
oct313661654323620
954534737572310
1014008282359696
114510974219059
1216a2a95504100
137a7c8ab297c1
1436600c436db2
151945c30c09b6
hexcbd8eb1a790

14008282359696 has 45 divisors (see below), whose sum is σ = 39203860354321. Its totient is φ = 4669412482176.

The previous prime is 14008282359619. The next prime is 14008282359737. The reversal of 14008282359696 is 69695328280041.

The square root of 14008282359696 is 3742764.

It is a perfect power (a square), and thus also a powerful number.

14008282359696 is a `hidden beast` number, since 1 + 40 + 0 + 82 + 82 + 359 + 6 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 671645811600 + 13336636548096 = 819540^2 + 3651936^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44757220 + ... + 45069116.

Almost surely, 214008282359696 is an apocalyptic number.

14008282359696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14008282359696 is the 3742764-th square number.

It is an amenable number.

14008282359696 is an abundant number, since it is smaller than the sum of its proper divisors (25195577994625).

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

14008282359696 is an frugal number, since it uses more digits than its factorization.

14008282359696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623808 (or 311902 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 14008282359696 in words is "fourteen trillion, eight billion, two hundred eighty-two million, three hundred fifty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 311897 623794 935691 1247588 1871382 2495176 2807073 3742764 4990352 5614146 7485528 11228292 14971056 22456584 44913168 97279738609 194559477218 291839215827 389118954436 583678431654 778237908872 875517647481 1167356863308 1556475817744 1751035294962 2334713726616 3502070589924 4669427453232 7004141179848 14008282359696