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14062202114016 = 2537178917837757
BaseRepresentation
bin1100110010100001110010…
…0011111100111111100000
31211210100000001011202001010
43030220130203330333200
53320343342220122031
645524030402140520
72650650322530540
oct314503443747740
954710001152033
1014062202114016
114531823546591
1216b1423051740
137b00a19a2a84
1436888558d320
15195bcbb39246
hexcca1c8fcfe0

14062202114016 has 384 divisors, whose sum is σ = 45201221130240. Its totient is φ = 3736365760512.

The previous prime is 14062202113991. The next prime is 14062202114053. The reversal of 14062202114016 is 61041120226041.

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 63 ways as a sum of consecutive naturals, for example, 1812836410 + ... + 1812844166.

It is an arithmetic number, because the mean of its divisors is an integer number (117711513360).

Almost surely, 214062202114016 is an apocalyptic number.

14062202114016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14062202114016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22600610565120).

14062202114016 is an abundant number, since it is smaller than the sum of its proper divisors (31139019016224).

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

14062202114016 is a wasteful number, since it uses less digits than its factorization.

14062202114016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9666 (or 9658 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 14062202114016 in words is "fourteen trillion, sixty-two billion, two hundred two million, one hundred fourteen thousand, sixteen".