Search a number
-
+
34656445031 = 1315127165147
BaseRepresentation
bin100000010001101011…
…110110001001100111
310022110021012211010012
4200101223312021213
51031434022220111
623530531520435
72334550631225
oct402153661147
9108407184105
1034656445031
111377472910a
12687245911b
133363cb6210
14196aa39b15
15d7c81b48b
hex811af6267

34656445031 has 16 divisors (see below), whose sum is σ = 37708704768. Its totient is φ = 31660956000.

The previous prime is 34656444997. The next prime is 34656445067. The reversal of 34656445031 is 13054465643.

It is a cyclic number.

It is not a de Polignac number, because 34656445031 - 26 = 34656444967 is a prime.

It is a super-2 number, since 2×346564450312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34656445031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34656445091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499400 + ... + 564546.

It is an arithmetic number, because the mean of its divisors is an integer number (2356794048).

Almost surely, 234656445031 is an apocalyptic number.

34656445031 is a deficient number, since it is larger than the sum of its proper divisors (3052259737).

34656445031 is a wasteful number, since it uses less digits than its factorization.

34656445031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65582.

The product of its (nonzero) digits is 518400, while the sum is 41.

The spelling of 34656445031 in words is "thirty-four billion, six hundred fifty-six million, four hundred forty-five thousand, thirty-one".

Divisors: 1 13 151 271 1963 3523 40921 65147 531973 846911 9837197 17654837 127883561 229512881 2665880387 34656445031