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34165456143 = 37213101177013
BaseRepresentation
bin11111110100011010…
…110111110100001111
310021012001022222222120
4133310122313310033
51024432324044033
623410112144023
72316436404600
oct376432676417
9107161288876
1034165456143
1113542566975
126755b38013
1332b6367850
14192174bda7
15d4e6831b3
hex7f46b7d0f

34165456143 has 48 divisors (see below), whose sum is σ = 57632926176. Its totient is φ = 17842809600.

The previous prime is 34165456141. The next prime is 34165456163.

It is a happy number.

34165456143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34165456143 - 21 = 34165456141 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 34165456095 and 34165456104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34165456141) 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, 104505 + ... + 281517.

It is an arithmetic number, because the mean of its divisors is an integer number (1200685962).

Almost surely, 234165456143 is an apocalyptic number.

34165456143 is a deficient number, since it is larger than the sum of its proper divisors (23467470033).

34165456143 is a wasteful number, since it uses less digits than its factorization.

34165456143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177144 (or 177137 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The spelling of 34165456143 in words is "thirty-four billion, one hundred sixty-five million, four hundred fifty-six thousand, one hundred forty-three".

Divisors: 1 3 7 13 21 39 49 91 101 147 273 303 637 707 1313 1911 2121 3939 4949 9191 14847 27573 64337 177013 193011 531039 1239091 2301169 3717273 6903507 8673637 16108183 17878313 26020911 48324549 53634939 112757281 125148191 232418069 338271843 375444573 697254207 876037337 1626926483 2628112011 4880779449 11388485381 34165456143