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20430044320 = 255723770429
BaseRepresentation
bin10011000001101110…
…011011110010100000
31221201210201210011011
4103001232123302200
5313320042404240
613215130430304
71322163340300
oct230156336240
957653653134
1020430044320
118734255754
123b61b92394
131c0780842a
14dbb46b600
157e88b66ea
hex4c1b9bca0

20430044320 has 144 divisors (see below), whose sum is σ = 57664421640. Its totient is φ = 6815176704.

The previous prime is 20430044293. The next prime is 20430044363. The reversal of 20430044320 is 2344003402.

It can be written as a sum of positive squares in 4 ways, for example, as 19295432464 + 1134611856 = 138908^2 + 33684^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20430044291 and 20430044300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254866 + ... + 325294.

Almost surely, 220430044320 is an apocalyptic number.

20430044320 is a gapful number since it is divisible by the number (20) 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 20430044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28832210820).

20430044320 is an abundant number, since it is smaller than the sum of its proper divisors (37234377320).

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

20430044320 is a wasteful number, since it uses less digits than its factorization.

20430044320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70495 (or 70480 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 20430044320 its reverse (2344003402), we get a palindrome (22774047722).

The spelling of 20430044320 in words is "twenty billion, four hundred thirty million, forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 49 56 70 74 80 98 112 140 148 160 185 196 224 245 259 280 296 370 392 490 518 560 592 740 784 980 1036 1120 1184 1295 1480 1568 1813 1960 2072 2590 2960 3626 3920 4144 5180 5920 7252 7840 8288 9065 10360 14504 18130 20720 29008 36260 41440 58016 70429 72520 140858 145040 281716 290080 352145 493003 563432 704290 986006 1126864 1408580 1972012 2253728 2465015 2605873 2817160 3451021 3944024 4930030 5211746 5634320 6902042 7888048 9860060 10423492 11268640 13029365 13804084 15776096 17255105 18241111 19720120 20846984 26058730 27608168 34510210 36482222 39440240 41693968 52117460 55216336 69020420 72964444 78880480 83387936 91205555 104234920 110432672 127687777 138040840 145928888 182411110 208469840 255375554 276081680 291857776 364822220 416939680 510751108 552163360 583715552 638438885 729644440 1021502216 1276877770 1459288880 2043004432 2553755540 2918577760 4086008864 5107511080 10215022160 20430044320