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214600456145 = 52329310935827
BaseRepresentation
bin1100011111011100101…
…1110001011111010001
3202111220212121201001102
43013313023301133101
512004000204044040
6242330332314145
721334666531355
oct3076713613721
9674825551042
10214600456145
11830143a9a89
1235711312955
131731015643a
14a55b21d465
1558b0165515
hex31f72f17d1

214600456145 has 32 divisors (see below), whose sum is σ = 269927223552. Its totient is φ = 163477746432.

The previous prime is 214600456087. The next prime is 214600456159. The reversal of 214600456145 is 541654006412.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-214600456145 is a prime.

It is a super-2 number, since 2×2146004561452 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 214600456099 and 214600456108.

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 31 ways as a sum of consecutive naturals, for example, 36825722 + ... + 36831548.

It is an arithmetic number, because the mean of its divisors is an integer number (8435225736).

Almost surely, 2214600456145 is an apocalyptic number.

It is an amenable number.

214600456145 is a deficient number, since it is larger than the sum of its proper divisors (55326767407).

214600456145 is a wasteful number, since it uses less digits than its factorization.

214600456145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7241.

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 214600456145 in words is "two hundred fourteen billion, six hundred million, four hundred fifty-six thousand, one hundred forty-five".

Divisors: 1 5 23 115 293 1093 1465 5465 5827 6739 25139 29135 33695 125695 134021 320249 670105 1601245 1707311 6368911 7365727 8536555 31844555 36828635 39268153 146484953 196340765 732424765 1866090923 9330454615 42920091229 214600456145