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20431104400 = 2452723473109
BaseRepresentation
bin10011000001110010…
…011110100110010000
31221201212201122022101
4103001302132212100
5313320330320100
613215205250144
71322205344020
oct230162364620
957655648271
1020431104400
11873490a153
123b62403954
131c07ab9ab5
14dbb665a80
157e8a2586a
hex4c1c9e990

20431104400 has 120 divisors (see below), whose sum is σ = 56139928640. Its totient is φ = 6999713280.

The previous prime is 20431104367. The next prime is 20431104427. The reversal of 20431104400 is 440113402.

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, 6570046 + ... + 6573154.

Almost surely, 220431104400 is an apocalyptic number.

20431104400 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 20431104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28069964320).

20431104400 is an abundant number, since it is smaller than the sum of its proper divisors (35708824240).

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

20431104400 is a wasteful number, since it uses less digits than its factorization.

20431104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5481 (or 5470 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 20431104400 its reverse (440113402), we get a palindrome (20871217802).

The spelling of 20431104400 in words is "twenty billion, four hundred thirty-one million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2347 2800 3109 4694 6218 9388 11735 12436 15545 16429 18776 21763 23470 24872 31090 32858 37552 43526 46940 49744 58675 62180 65716 77725 82145 87052 93880 108815 117350 124360 131432 155450 164290 174104 187760 217630 234700 248720 262864 310900 328580 348208 410725 435260 469400 544075 621800 657160 821450 870520 938800 1088150 1243600 1314320 1642900 1741040 2176300 3285800 4352600 6571600 7296823 8705200 14593646 29187292 36484115 51077761 58374584 72968230 102155522 116749168 145936460 182420575 204311044 255388805 291872920 364841150 408622088 510777610 583745840 729682300 817244176 1021555220 1276944025 1459364600 2043110440 2553888050 2918729200 4086220880 5107776100 10215552200 20431104400