Base | Representation |
---|---|
bin | 100111001100000010… |
… | …011010000010000000 |
3 | 11000121110222012212000 |
4 | 213030002122002000 |
5 | 1142133414414030 |
6 | 31155203104000 |
7 | 3016505103114 |
oct | 471402320200 |
9 | 130543865760 |
10 | 42077888640 |
11 | 16932964587 |
12 | 81a3972000 |
13 | 3c776cac78 |
14 | 207253d744 |
15 | 1164132860 |
hex | 9cc09a080 |
42077888640 has 256 divisors, whose sum is σ = 157793184000. Its totient is φ = 10560651264.
The previous prime is 42077888639. The next prime is 42077888711. The reversal of 42077888640 is 4688877024.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222141 + ... + 365379.
It is an arithmetic number, because the mean of its divisors is an integer number (616379625).
Almost surely, 242077888640 is an apocalyptic number.
42077888640 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 42077888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78896592000).
42077888640 is an abundant number, since it is smaller than the sum of its proper divisors (115715295360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42077888640 is a wasteful number, since it uses less digits than its factorization.
42077888640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 143284 (or 143266 counting only the distinct ones).
The product of its (nonzero) digits is 4816896, while the sum is 54.
The spelling of 42077888640 in words is "forty-two billion, seventy-seven million, eight hundred eighty-eight thousand, six hundred forty".
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