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444303422020 = 225389488911681
BaseRepresentation
bin1100111011100101000…
…11000011001001000100
31120110211021021101201001
412131302203003021010
524234413134001040
6540035444143044
744046152526463
oct6356243031104
91513737241631
10444303422020
11161478776067
1272138397a84
1332b8913a863
141770c1089da
15b8560dd59a
hex67728c3244

444303422020 has 48 divisors (see below), whose sum is σ = 935707172400. Its totient is φ = 177213071360.

The previous prime is 444303421997. The next prime is 444303422023. The reversal of 444303422020 is 20224303444.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4766245444 + 439537176576 = 69038^2 + 662976^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 444303422020.

It is not an unprimeable number, because it can be changed into a prime (444303422023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38030580 + ... + 38042260.

It is an arithmetic number, because the mean of its divisors is an integer number (19493899425).

Almost surely, 2444303422020 is an apocalyptic number.

It is an amenable number.

444303422020 is an abundant number, since it is smaller than the sum of its proper divisors (491403750380).

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

444303422020 is a wasteful number, since it uses less digits than its factorization.

444303422020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16968 (or 16966 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 444303422020 its reverse (20224303444), we get a palindrome (464527725464).

The spelling of 444303422020 in words is "four hundred forty-four billion, three hundred three million, four hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 389 778 1556 1945 3890 4889 7780 9778 11681 19556 23362 24445 46724 48890 58405 97780 116810 233620 1901821 3803642 4543909 7607284 9087818 9509105 18175636 19018210 22719545 38036420 45439090 57108409 90878180 114216818 228433636 285542045 571084090 1142168180 22215171101 44430342202 88860684404 111075855505 222151711010 444303422020