| Base | Representation |
|---|---|
| bin | 100111010101101101… |
| … | …001111111110010000 |
| 3 | 11001000210020011000000 |
| 4 | 213111231033332100 |
| 5 | 1143001432131301 |
| 6 | 31223240130000 |
| 7 | 3023515023042 |
| oct | 472555177620 |
| 9 | 131023204000 |
| 10 | 42240114576 |
| 11 | 16a06497300 |
| 12 | 822a166900 |
| 13 | 3ca21ba94a |
| 14 | 2089ccba92 |
| 15 | 11734c9786 |
| hex | 9d5b4ff90 |
42240114576 has 315 divisors, whose sum is σ = 135657333217. Its totient is φ = 12726046080.
The previous prime is 42240114547. The next prime is 42240114599. The reversal of 42240114576 is 67541104224.
The square root of 42240114576 is 205524.
It is a perfect power (a square), and thus also a powerful number.
42240114576 is a `hidden beast` number, since 42 + 2 + 40 + 1 + 1 + 4 + 576 = 666.
It can be written as a sum of positive squares in only one way, i.e., 38423840400 + 3816274176 = 196020^2 + 61776^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 42240114576.
It is an unprimeable number.
It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 244162426 + ... + 244162598.
Almost surely, 242240114576 is an apocalyptic number.
42240114576 is the 205524-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42240114576
42240114576 is an abundant number, since it is smaller than the sum of its proper divisors (93417218641).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42240114576 is an equidigital number, since it uses as much as digits as its factorization.
42240114576 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 394 (or 189 counting only the distinct ones).
The product of its (nonzero) digits is 53760, while the sum is 36.
Multiplying 42240114576 by its sum of digits (36), we get a square (1520644124736 = 12331442).
42240114576 divided by its sum of digits (36) gives a square (1173336516 = 342542).
It can be divided in two parts, 42240 and 114576, that added together give a square (156816 = 3962).
The spelling of 42240114576 in words is "forty-two billion, two hundred forty million, one hundred fourteen thousand, five hundred seventy-six".
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