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14216213762307 = 331765347430541
BaseRepresentation
bin1100111011011111100001…
…0111110001000100000011
31212100001112101021002211000
43032313320113301010003
53330404301210343212
650122501034223043
72665042013121444
oct316677027610403
955301471232730
1014216213762307
114591076064447
121717245284a83
137c17773c17cb
143720d5a472cb
15199be29e01dc
hexcedf85f1103

14216213762307 has 32 divisors (see below), whose sum is σ = 22334093616960. Its totient is φ = 8906317079040.

The previous prime is 14216213762293. The next prime is 14216213762329. The reversal of 14216213762307 is 70326731261241.

It is a happy number.

14216213762307 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 6 + 2 + 13 + 7 + 623 + 0 + 7 = 666.

It is not a de Polignac number, because 14216213762307 - 222 = 14216209568003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14216213763307) 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 31 ways as a sum of consecutive naturals, for example, 23415544 + ... + 24014997.

It is an arithmetic number, because the mean of its divisors is an integer number (697940425530).

Almost surely, 214216213762307 is an apocalyptic number.

14216213762307 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

14216213762307 is a deficient number, since it is larger than the sum of its proper divisors (8117879854653).

14216213762307 is a wasteful number, since it uses less digits than its factorization.

14216213762307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47431220 (or 47431214 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 14216213762307 in words is "fourteen trillion, two hundred sixteen billion, two hundred thirteen million, seven hundred sixty-two thousand, three hundred seven".

Divisors: 1 3 9 17 27 51 153 459 653 1959 5877 11101 17631 33303 99909 299727 47430541 142291623 426874869 806319197 1280624607 2418957591 7256872773 21770618319 30972143273 92916429819 278749289457 526526435641 836247868371 1579579306923 4738737920769 14216213762307