Base | Representation |
---|---|
bin | 1001101010110110011… |
… | …10001000011000100000 |
3 | 1011202120120122201001200 |
4 | 10311123032020120200 |
5 | 20420413141202200 |
6 | 412344050401200 |
7 | 33001201106511 |
oct | 4653316103040 |
9 | 1152516581050 |
10 | 332242912800 |
11 | 1189a350a977 |
12 | 54483590200 |
13 | 2543aa9b936 |
14 | 1211b3d8a08 |
15 | 899817e800 |
hex | 4d5b388620 |
332242912800 has 162 divisors, whose sum is σ = 1171744064127. Its totient is φ = 88585067520.
The previous prime is 332242912783. The next prime is 332242912817. The reversal of 332242912800 is 8219242233.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
332242912800 is a `hidden beast` number, since 332 + 2 + 42 + 9 + 1 + 280 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (332242912783) and next prime (332242912817).
It can be written as a sum of positive squares in 5 ways, for example, as 11311598736 + 320931314064 = 106356^2 + 566508^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=407580.
It is a super-2 number, since 2×3322429128002 (a number of 24 digits) contains 22 as substring.
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 26 ways as a sum of consecutive naturals, for example, 48906204 + ... + 48912996.
Almost surely, 2332242912800 is an apocalyptic number.
332242912800 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 332242912800
332242912800 is an abundant number, since it is smaller than the sum of its proper divisors (839501151327).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
332242912800 is an frugal number, since it uses more digits than its factorization.
332242912800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13612 (or 6803 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The spelling of 332242912800 in words is "three hundred thirty-two billion, two hundred forty-two million, nine hundred twelve thousand, eight hundred".
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