| Base | Representation |
|---|---|
| bin | 10011011111111110010011… |
| … | …11001100011100000000000 |
| 3 | 12121211021220010020202222100 |
| 4 | 21233333021321203200000 |
| 5 | 21110021313212332000 |
| 6 | 231110453205310400 |
| 7 | 12013660336451100 |
| oct | 1157771171434000 |
| 9 | 177737803222870 |
| 10 | 42880045824000 |
| 11 | 12732363a94a00 |
| 12 | 4986534705400 |
| 13 | 1ac07565659a8 |
| 14 | a83596197200 |
| 15 | 4e561d50ca00 |
| hex | 26ffc9e63800 |
42880045824000 has 5184 divisors, whose sum is σ = 204990035009760. Its totient is φ = 8583708672000.
The previous prime is 42880045823999. The next prime is 42880045824001. The reversal of 42880045824000 is 42854008824.
42880045824000 is a `hidden beast` number, since 4 + 28 + 8 + 0 + 0 + 4 + 582 + 40 + 0 + 0 = 666.
42880045824000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (42880045823999) and next prime (42880045824001).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42880045824001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 587397887964 + ... + 587397888036.
Almost surely, 242880045824000 is an apocalyptic number.
42880045824000 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 42880045824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102495017504880).
42880045824000 is an abundant number, since it is smaller than the sum of its proper divisors (162109989185760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42880045824000 is a wasteful number, since it uses less digits than its factorization.
42880045824000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 195 (or 144 counting only the distinct ones).
The product of its (nonzero) digits is 655360, while the sum is 45.
The spelling of 42880045824000 in words is "forty-two trillion, eight hundred eighty billion, forty-five million, eight hundred twenty-four thousand".
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