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20424330144 = 25347879757
BaseRepresentation
bin10011000001011000…
…101000101110100000
31221201101222110210000
4103001120220232200
5313312112031034
613214404140000
71322063641011
oct230130505640
957641873700
1020424330144
118731002599
123b60097600
131c0658756a
14dba7c1008
157e8138599
hex4c1628ba0

20424330144 has 60 divisors (see below), whose sum is σ = 60067395234. Its totient is φ = 6808109184.

The previous prime is 20424330139. The next prime is 20424330149. The reversal of 20424330144 is 44103342402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20424330139) and next prime (20424330149).

It can be written as a sum of positive squares in only one way, i.e., 18176432400 + 2247897744 = 134820^2 + 47412^2 .

It is a super-2 number, since 2×204243301442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20424330149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3937287 + ... + 3942470.

Almost surely, 220424330144 is an apocalyptic number.

20424330144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20424330144 is an abundant number, since it is smaller than the sum of its proper divisors (39643065090).

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

20424330144 is an equidigital number, since it uses as much as digits as its factorization.

20424330144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7879779 (or 7879762 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 20424330144 its reverse (44103342402), we get a palindrome (64527672546).

The spelling of 20424330144 in words is "twenty billion, four hundred twenty-four million, three hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 7879757 15759514 23639271 31519028 47278542 63038056 70917813 94557084 126076112 141835626 189114168 212753439 252152224 283671252 378228336 425506878 567342504 638260317 756456672 851013756 1134685008 1276520634 1702027512 2269370016 2553041268 3404055024 5106082536 6808110048 10212165072 20424330144