Base | Representation |
---|---|
bin | 10011011000100100000… |
… | …001000111001010000000 |
3 | 11201100020110001001220121 |
4 | 103120210001013022000 |
5 | 133311011244223432 |
6 | 2455533240350024 |
7 | 165144203212546 |
oct | 23304401071200 |
9 | 4640213031817 |
10 | 1332044132992 |
11 | 473a0a206631 |
12 | 1961aaa75314 |
13 | 987c3b19691 |
14 | 48685299d96 |
15 | 249b222d197 |
hex | 13624047280 |
1332044132992 has 128 divisors (see below), whose sum is σ = 2809750849920. Its totient is φ = 627720192000.
The previous prime is 1332044132983. The next prime is 1332044133037. The reversal of 1332044132992 is 2992314402331.
It is a tau number, because it is divible by the number of its divisors (128).
It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.
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 15 ways as a sum of consecutive naturals, for example, 277448992 + ... + 277453792.
It is an arithmetic number, because the mean of its divisors is an integer number (21951178515).
Almost surely, 21332044132992 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1332044132992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404875424960).
1332044132992 is an abundant number, since it is smaller than the sum of its proper divisors (1477706716928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1332044132992 is a wasteful number, since it uses less digits than its factorization.
1332044132992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6202 (or 6190 counting only the distinct ones).
The product of its (nonzero) digits is 279936, while the sum is 43.
The spelling of 1332044132992 in words is "one trillion, three hundred thirty-two billion, forty-four million, one hundred thirty-two thousand, nine hundred ninety-two".
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