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20431423440 = 24325151187927
BaseRepresentation
bin10011000001110011…
…101100011111010000
31221201220022211221200
4103001303230133100
5313320421022230
613215220151200
71322211143121
oct230163543720
957656284850
1020431423440
11873500791a
123b62538500
131c07b9c08c
14dbb70a048
157e8a8a160
hex4c1cec7d0

20431423440 has 120 divisors (see below), whose sum is σ = 69070305408. Its totient is φ = 5412268800.

The previous prime is 20431423423. The next prime is 20431423471. The reversal of 20431423440 is 4432413402.

It is a happy number.

20431423440 is a `hidden beast` number, since 2 + 0 + 4 + 314 + 2 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 14757 + ... + 202683.

Almost surely, 220431423440 is an apocalyptic number.

20431423440 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 20431423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34535152704).

20431423440 is an abundant number, since it is smaller than the sum of its proper divisors (48638881968).

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

20431423440 is a wasteful number, since it uses less digits than its factorization.

20431423440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188097 (or 188088 counting only the distinct ones).

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

Adding to 20431423440 its reverse (4432413402), we get a palindrome (24863836842).

The spelling of 20431423440 in words is "twenty billion, four hundred thirty-one million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 151 180 240 302 360 453 604 720 755 906 1208 1359 1510 1812 2265 2416 2718 3020 3624 4530 5436 6040 6795 7248 9060 10872 12080 13590 18120 21744 27180 36240 54360 108720 187927 375854 563781 751708 939635 1127562 1503416 1691343 1879270 2255124 2818905 3006832 3382686 3758540 4510248 5637810 6765372 7517080 8456715 9020496 11275620 13530744 15034160 16913430 22551240 27061488 28376977 33826860 45102480 56753954 67653720 85130931 113507908 135307440 141884885 170261862 227015816 255392793 283769770 340523724 425654655 454031632 510785586 567539540 681047448 851309310 1021571172 1135079080 1276963965 1362094896 1702618620 2043142344 2270158160 2553927930 3405237240 4086284688 5107855860 6810474480 10215711720 20431423440