Search a number
-
+
320040660096 = 2732277813073
BaseRepresentation
bin1001010100000111110…
…10001110110010000000
31010121002011222001011100
410222003322032302000
520220420402110341
6403005154014400
732056622503653
oct4520372166200
91117064861140
10320040660096
11113801677903
1252038b77400
1324244a71671
14116c09ad89a
1584d1cac3b6
hex4a83e8ec80

320040660096 has 48 divisors (see below), whose sum is σ = 920950340310. Its totient is φ = 106680219648.

The previous prime is 320040660089. The next prime is 320040660143. The reversal of 320040660096 is 690066040023.

320040660096 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 40 + 6 + 600 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 314721000000 + 5319660096 = 561000^2 + 72936^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3200406600962 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 320040660096.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 138905385 + ... + 138907688.

Almost surely, 2320040660096 is an apocalyptic number.

320040660096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

320040660096 is an abundant number, since it is smaller than the sum of its proper divisors (600909680214).

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

320040660096 is a wasteful number, since it uses less digits than its factorization.

320040660096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277813093 (or 277813078 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 320040660096 in words is "three hundred twenty billion, forty million, six hundred sixty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 277813073 555626146 833439219 1111252292 1666878438 2222504584 2500317657 3333756876 4445009168 5000635314 6667513752 8890018336 10001270628 13335027504 17780036672 20002541256 26670055008 35560073344 40005082512 53340110016 80010165024 106680220032 160020330048 320040660096