| Base | Representation |
|---|---|
| bin | 100111001111011010… |
| … | …011100011001100000 |
| 3 | 11000202102112110110010 |
| 4 | 213033122130121200 |
| 5 | 1142242414141230 |
| 6 | 31204545004520 |
| 7 | 3021063344244 |
| oct | 471732343140 |
| 9 | 130672473403 |
| 10 | 42134521440 |
| 11 | 16961925650 |
| 12 | 81ba923740 |
| 13 | 3c863693bb |
| 14 | 2079c82424 |
| 15 | 11690bc9b0 |
| hex | 9cf69c660 |
42134521440 has 192 divisors, whose sum is σ = 144914095872. Its totient is φ = 10205644800.
The previous prime is 42134521433. The next prime is 42134521447. The reversal of 42134521440 is 4412543124.
42134521440 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 (42134521433) and next prime (42134521447).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 42134521398 and 42134521407.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42134521447) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7827550 + ... + 7832930.
It is an arithmetic number, because the mean of its divisors is an integer number (754760916).
Almost surely, 242134521440 is an apocalyptic number.
42134521440 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 42134521440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72457047936).
42134521440 is an abundant number, since it is smaller than the sum of its proper divisors (102779574432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42134521440 is a wasteful number, since it uses less digits than its factorization.
42134521440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6893 (or 6885 counting only the distinct ones).
The product of its (nonzero) digits is 15360, while the sum is 30.
The spelling of 42134521440 in words is "forty-two billion, one hundred thirty-four million, five hundred twenty-one thousand, four hundred forty".
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