Search a number
-
+
312332330022444 = 22328675898056179
BaseRepresentation
bin100011100000100001000100…
…1100101010011011000101100
31111221212200100002121000200100
41013001002021211103120230
5311414223102441204234
63024135254104031100
7122534160205206234
oct10701021145233054
91457780302530610
10312332330022444
11905784408a0a36
122b044121462490
1310537a739427a4
14571ad73206cc4
1526197323b9399
hex11c108995362c

312332330022444 has 18 divisors (see below), whose sum is σ = 789506723112380. Its totient is φ = 104110776674136.

The previous prime is 312332330022439. The next prime is 312332330022463. The reversal of 312332330022444 is 444220033233213.

312332330022444 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 323 + 300 + 2 + 24 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 8675898056179 = 312332330022444 / (3 + 1 + 2 + 3 + 3 + 2 + 3 + 3 + 0 + 0 + 2 + 2 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 312332330022399 and 312332330022408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4337949028054 + ... + 4337949028125.

Almost surely, 2312332330022444 is an apocalyptic number.

It is an amenable number.

312332330022444 is an abundant number, since it is smaller than the sum of its proper divisors (477174393089936).

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

312332330022444 is a wasteful number, since it uses less digits than its factorization.

312332330022444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8675898056189 (or 8675898056184 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 312332330022444 its reverse (444220033233213), we get a palindrome (756552363255657).

The spelling of 312332330022444 in words is "three hundred twelve trillion, three hundred thirty-two billion, three hundred thirty million, twenty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 8675898056179 17351796112358 26027694168537 34703592224716 52055388337074 78083082505611 104110776674148 156166165011222 312332330022444