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442124424020 = 225171823713311
BaseRepresentation
bin1100110111100001010…
…10110101001101010100
31120021012102002211101102
412123300222311031110
524220432323032040
6535035324445232
743641153411566
oct6336052651524
91507172084342
10442124424020
1116055a790674
127182a6a9818
13328cc880726
1417582977336
15b779b6e515
hex66f0ab5354

442124424020 has 48 divisors (see below), whose sum is σ = 983617302528. Its totient is φ = 166355304960.

The previous prime is 442124423963. The next prime is 442124424023. The reversal of 442124424020 is 20424421244.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442124424023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263165 + ... + 976475.

It is an arithmetic number, because the mean of its divisors is an integer number (20492027136).

Almost surely, 2442124424020 is an apocalyptic number.

It is an amenable number.

442124424020 is an abundant number, since it is smaller than the sum of its proper divisors (541492878508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442124424020 is a wasteful number, since it uses less digits than its factorization.

442124424020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715160 (or 715158 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 442124424020 its reverse (20424421244), we get a palindrome (462548845264).

The spelling of 442124424020 in words is "four hundred forty-two billion, one hundred twenty-four million, four hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1823 3646 7292 9115 18230 30991 36460 61982 123964 154955 309910 619820 713311 1426622 2853244 3566555 7133110 12126287 14266220 24252574 48505148 60631435 121262870 242525740 1300365953 2600731906 5201463812 6501829765 13003659530 22106221201 26007319060 44212442402 88424884804 110531106005 221062212010 442124424020