Search a number
-
+
3445723856964 = 2232192913094243
BaseRepresentation
bin110010001001000101001…
…001011000000001000100
3110012102000102100020120210
4302021011021120001010
5422423320301410324
611154535500355420
7503642151346404
oct62110511300104
913172012306523
103445723856964
111109361318614
12477979b45b70
131bcc130225bc
14bcab9912804
155e9703b1d29
hex32245258044

3445723856964 has 24 divisors (see below), whose sum is σ = 8040389585760. Its totient is φ = 1148522154304.

The previous prime is 3445723856947. The next prime is 3445723857001. The reversal of 3445723856964 is 4696583275443.

It is a happy number.

It is a super-3 number, since 3×34457238569643 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3445723856895 and 3445723856904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6283974 + ... + 6810269.

It is an arithmetic number, because the mean of its divisors is an integer number (335016232740).

Almost surely, 23445723856964 is an apocalyptic number.

It is an amenable number.

3445723856964 is an abundant number, since it is smaller than the sum of its proper divisors (4594665728796).

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

3445723856964 is a wasteful number, since it uses less digits than its factorization.

3445723856964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13116179 (or 13116177 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 66.

The spelling of 3445723856964 in words is "three trillion, four hundred forty-five billion, seven hundred twenty-three million, eight hundred fifty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 21929 43858 65787 87716 131574 263148 13094243 26188486 39282729 52376972 78565458 157130916 287143654747 574287309494 861430964241 1148574618988 1722861928482 3445723856964