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331130233044 = 223213707543233
BaseRepresentation
bin1001101000110001110…
…01100110000011010100
31011122201000221201101100
410310120321212003110
520411123314424134
6412041422030100
732631500353302
oct4643071460324
91148630851340
10331130233044
11118482425126
1254212a18330
13252c13cb750
1412053719272
158930641999
hex4d18e660d4

331130233044 has 36 divisors (see below), whose sum is σ = 901410080116. Its totient is φ = 101886225408.

The previous prime is 331130233033. The next prime is 331130233061. The reversal of 331130233044 is 440332031133.

331130233044 is a `hidden beast` number, since 3 + 311 + 302 + 3 + 3 + 0 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35433544644 + 295696688400 = 188238^2 + 543780^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 331130232999 and 331130233017.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 353771149 + ... + 353772084.

Almost surely, 2331130233044 is an apocalyptic number.

It is an amenable number.

331130233044 is an abundant number, since it is smaller than the sum of its proper divisors (570279847072).

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

331130233044 is a wasteful number, since it uses less digits than its factorization.

331130233044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707543256 (or 707543251 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 331130233044 its reverse (440332031133), we get a palindrome (771462264177).

The spelling of 331130233044 in words is "three hundred thirty-one billion, one hundred thirty million, two hundred thirty-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 707543233 1415086466 2122629699 2830172932 4245259398 6367889097 8490518796 9198062029 12735778194 18396124058 25471556388 27594186087 36792248116 55188372174 82782558261 110376744348 165565116522 331130233044