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14128591320816 = 243726007054133
BaseRepresentation
bin1100110110011001000110…
…1010101011011011110000
31212000200100211011212211020
43031212101222223123300
53322440323334231231
650014330225215440
72655520443503400
oct315462152533360
955020324155736
1014128591320816
1145579a1518245
121702270791580
137b642202b6ab
1436bb82806800
151977b5255396
hexcd991aab6f0

14128591320816 has 60 divisors (see below), whose sum is σ = 42457858619112. Its totient is φ = 4036740376704.

The previous prime is 14128591320803. The next prime is 14128591320829. The reversal of 14128591320816 is 61802319582141.

It is an interprime number because it is at equal distance from previous prime (14128591320803) and next prime (14128591320829).

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 3003524715 + ... + 3003529418.

Almost surely, 214128591320816 is an apocalyptic number.

14128591320816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14128591320816 is an abundant number, since it is smaller than the sum of its proper divisors (28329267298296).

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

14128591320816 is a wasteful number, since it uses less digits than its factorization.

14128591320816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6007054158 (or 6007054145 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 14128591320816 in words is "fourteen trillion, one hundred twenty-eight billion, five hundred ninety-one million, three hundred twenty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 6007054133 12014108266 18021162399 24028216532 36042324798 42049378931 48056433064 72084649596 84098757862 96112866128 126148136793 144169299192 168197515724 252296273586 288338598384 294345652517 336395031448 504592547172 588691305034 672790062896 883036957551 1009185094344 1177382610068 1766073915102 2018370188688 2354765220136 3532147830204 4709530440272 7064295660408 14128591320816