Base | Representation |
---|---|
bin | 1100111000011100101… |
… | …10010001101001100010 |
3 | 1120022111010001012010100 |
4 | 12130032112101221202 |
5 | 24222442310230340 |
6 | 535200553043230 |
7 | 43656410625561 |
oct | 6341626215142 |
9 | 1508433035110 |
10 | 442622351970 |
11 | 160795862277 |
12 | 719493b6516 |
13 | 3297ba8b656 |
14 | 175ccb4dbd8 |
15 | b7a8728830 |
hex | 670e591a62 |
442622351970 has 96 divisors (see below), whose sum is σ = 1166944287600. Its totient is φ = 116379666432.
The previous prime is 442622351947. The next prime is 442622351993. The reversal of 442622351970 is 79153226244.
442622351970 is a `hidden beast` number, since 4 + 4 + 2 + 62 + 2 + 3 + 519 + 70 = 666.
It is an interprime number because it is at equal distance from previous prime (442622351947) and next prime (442622351993).
It can be written as a sum of positive squares in 8 ways, for example, as 78278527089 + 364343824881 = 279783^2 + 603609^2 .
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 47 ways as a sum of consecutive naturals, for example, 26199286 + ... + 26216174.
Almost surely, 2442622351970 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 442622351970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583472143800).
442622351970 is an abundant number, since it is smaller than the sum of its proper divisors (724321935630).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
442622351970 is a wasteful number, since it uses less digits than its factorization.
442622351970 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 20964 (or 20961 counting only the distinct ones).
The product of its (nonzero) digits is 725760, while the sum is 45.
The spelling of 442622351970 in words is "four hundred forty-two billion, six hundred twenty-two million, three hundred fifty-one thousand, nine hundred seventy".
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