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331490880000 = 2936547229
BaseRepresentation
bin1001101001011100110…
…01010110101000000000
31011200122011120111000000
410310232121112220000
520412343131130000
6412141304000000
732643436663200
oct4645631265000
91150564514000
10331490880000
11118647a61565
12542b3760000
132534b041b07
1412089598400
158952130000
hex4d2e656a00

331490880000 has 2100 divisors, whose sum is σ = 1493285815890. Its totient is φ = 73156608000.

The previous prime is 331490879987. The next prime is 331490880059. The reversal of 331490880000 is 88094133.

It can be written as a sum of positive squares in 5 ways, for example, as 4837480704 + 326653399296 = 69552^2 + 571536^2 .

It is a tau number, because it is divible by the number of its divisors (2100).

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

It is an unprimeable number.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 11430719986 + ... + 11430720014.

Almost surely, 2331490880000 is an apocalyptic number.

331490880000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331490880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746642907945).

331490880000 is an abundant number, since it is smaller than the sum of its proper divisors (1161794935890).

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

331490880000 is an frugal number, since it uses more digits than its factorization.

331490880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 331490880000 in words is "three hundred thirty-one billion, four hundred ninety million, eight hundred eighty thousand".