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14092030303416 = 233213277319117033
BaseRepresentation
bin1100110100010000111001…
…1101011101110010111000
31211220011222211011202120200
43031010032131131302320
53321340434224202131
645545442255522200
72653054435130052
oct315041635356270
954804884152520
1014092030303416
11454343a80078a
1216b7168529360
137b2b465a06a0
1436a0b4c728d2
151968756262e6
hexcd10e75dcb8

14092030303416 has 192 divisors, whose sum is σ = 41265486400320. Its totient is φ = 4318748375040.

The previous prime is 14092030303411. The next prime is 14092030303457. The reversal of 14092030303416 is 61430303029041.

14092030303416 is a `hidden beast` number, since 1 + 4 + 0 + 9 + 2 + 0 + 303 + 0 + 341 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14092030303411) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 827328436 + ... + 827345468.

It is an arithmetic number, because the mean of its divisors is an integer number (214924408335).

Almost surely, 214092030303416 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 14092030303416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20632743200160).

14092030303416 is an abundant number, since it is smaller than the sum of its proper divisors (27173456096904).

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

14092030303416 is a wasteful number, since it uses less digits than its factorization.

14092030303416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20526 (or 20519 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 14092030303416 in words is "fourteen trillion, ninety-two billion, thirty million, three hundred three thousand, four hundred sixteen".