| Base | Representation |
|---|---|
| bin | 100111100111101100… |
| … | …010111101100000000 |
| 3 | 11001210211001010000000 |
| 4 | 213213230113230000 |
| 5 | 1144111204431140 |
| 6 | 31313220000000 |
| 7 | 3034140650640 |
| oct | 474754275400 |
| 9 | 131724033000 |
| 10 | 42541873920 |
| 11 | 17050862597 |
| 12 | 82b3230000 |
| 13 | 401c883480 |
| 14 | 20b7ddc520 |
| 15 | 118ec34a30 |
| hex | 9e7b17b00 |
42541873920 has 1152 divisors, whose sum is σ = 189222727680. Its totient is φ = 8922120192.
The previous prime is 42541873897. The next prime is 42541873931. The reversal of 42541873920 is 2937814524.
42541873920 is a `hidden beast` number, since 4 + 2 + 541 + 87 + 3 + 9 + 20 = 666.
42541873920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a super-3 number, since 3×425418739203 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is an unprimeable number.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 254741677 + ... + 254741843.
It is an arithmetic number, because the mean of its divisors is an integer number (164255840).
Almost surely, 242541873920 is an apocalyptic number.
42541873920 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 42541873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94611363840).
42541873920 is an abundant number, since it is smaller than the sum of its proper divisors (146680853760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42541873920 is an equidigital number, since it uses as much as digits as its factorization.
42541873920 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 229 (or 197 counting only the distinct ones).
The product of its (nonzero) digits is 483840, while the sum is 45.
The spelling of 42541873920 in words is "forty-two billion, five hundred forty-one million, eight hundred seventy-three thousand, nine hundred twenty".
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