| Base | Representation |
|---|---|
| bin | 1100111001000011110… |
| … | …00000011000000000000 |
| 3 | 1120100022221112000021100 |
| 4 | 12130201320003000000 |
| 5 | 24224130143100333 |
| 6 | 535253255054400 |
| 7 | 44000466432120 |
| oct | 6344170030000 |
| 9 | 1510287460240 |
| 10 | 442949971968 |
| 11 | 160943790aa9 |
| 12 | 71a1b071400 |
| 13 | 32a0190a03a |
| 14 | 17620472c80 |
| 15 | b7c7391213 |
| hex | 6721e03000 |
442949971968 has 624 divisors, whose sum is σ = 1590702684480. Its totient is φ = 115850870784.
The previous prime is 442949971967. The next prime is 442949971969. The reversal of 442949971968 is 869179949244.
442949971968 is a `hidden beast` number, since 4 + 4 + 2 + 9 + 499 + 71 + 9 + 68 = 666.
It is an interprime number because it is at equal distance from previous prime (442949971967) and next prime (442949971969).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 442949971896 and 442949971905.
It is not an unprimeable number, because it can be changed into a prime (442949971967) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162310828 + ... + 162313556.
It is an arithmetic number, because the mean of its divisors is an integer number (2549203020).
Almost surely, 2442949971968 is an apocalyptic number.
442949971968 is a gapful number since it is divisible by the number (48) 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 442949971968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795351342240).
442949971968 is an abundant number, since it is smaller than the sum of its proper divisors (1147752712512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
442949971968 is a wasteful number, since it uses less digits than its factorization.
442949971968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2820 (or 2795 counting only the distinct ones).
The product of its digits is 282175488, while the sum is 72.
The spelling of 442949971968 in words is "four hundred forty-two billion, nine hundred forty-nine million, nine hundred seventy-one thousand, nine hundred sixty-eight".
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