Base | Representation |
---|---|
bin | 10011100001001010001101… |
… | …11010100011100011000000 |
3 | 12121222012002012112222011010 |
4 | 21300211012322203203000 |
5 | 21111203243233202000 |
6 | 231141313052520520 |
7 | 12016632245660424 |
oct | 1160450672434300 |
9 | 177865065488133 |
10 | 42920797944000 |
11 | 12748676550919 |
12 | 4992408480140 |
13 | 1ac454c3a5972 |
14 | a855405c8b84 |
15 | 4e670605ed50 |
hex | 270946ea38c0 |
42920797944000 has 224 divisors, whose sum is σ = 142396171587072. Its totient is φ = 11391300480000.
The previous prime is 42920797943941. The next prime is 42920797944001. The reversal of 42920797944000 is 44979702924.
It is a happy number.
It is a super-3 number, since 3×429207979440003 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is not an unprimeable number, because it can be changed into a prime (42920797944001) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 826165 + ... + 9301835.
Almost surely, 242920797944000 is an apocalyptic number.
42920797944000 is a gapful number since it is divisible by the number (40) 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 42920797944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71198085793536).
42920797944000 is an abundant number, since it is smaller than the sum of its proper divisors (99475373643072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42920797944000 is a wasteful number, since it uses less digits than its factorization.
42920797944000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8475912 (or 8475892 counting only the distinct ones).
The product of its (nonzero) digits is 9144576, while the sum is 57.
The spelling of 42920797944000 in words is "forty-two trillion, nine hundred twenty billion, seven hundred ninety-seven million, nine hundred forty-four thousand".
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