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20423403144 = 23324155712421
BaseRepresentation
bin10011000001010101…
…000110011010001000
31221201100020101011200
4103001111012122020
5313311342400034
613214332224200
71322053030254
oct230125063210
957640211150
1020423403144
11873052a081
123b5b90b060
131c06321641
14dba61d264
157e8003a99
hex4c1546688

20423403144 has 96 divisors (see below), whose sum is σ = 56768788440. Its totient is φ = 6629299200.

The previous prime is 20423403097. The next prime is 20423403151. The reversal of 20423403144 is 44130432402.

It is a happy number.

20423403144 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 340 + 314 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13639904100 + 6783499044 = 116790^2 + 82362^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1638054 + ... + 1650474.

Almost surely, 220423403144 is an apocalyptic number.

20423403144 is a gapful number since it is divisible by the number (24) 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 20423403144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28384394220).

20423403144 is an abundant number, since it is smaller than the sum of its proper divisors (36345385296).

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

20423403144 is a wasteful number, since it uses less digits than its factorization.

20423403144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13031 (or 13024 counting only the distinct ones).

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

Adding to 20423403144 its reverse (44130432402), we get a palindrome (64553835546).

The spelling of 20423403144 in words is "twenty billion, four hundred twenty-three million, four hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 557 738 984 1114 1476 1671 2228 2952 3342 4456 5013 6684 10026 12421 13368 20052 22837 24842 37263 40104 45674 49684 68511 74526 91348 99368 111789 137022 149052 182696 205533 223578 274044 298104 411066 447156 509261 548088 822132 894312 1018522 1527783 1644264 2037044 3055566 4074088 4583349 6111132 6918497 9166698 12222264 13836994 18333396 20755491 27673988 36666792 41510982 55347976 62266473 83021964 124532946 166043928 249065892 283658377 498131784 567316754 850975131 1134633508 1701950262 2269267016 2552925393 3403900524 5105850786 6807801048 10211701572 20423403144