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20440413144 = 23321309921673
BaseRepresentation
bin10011000010010101…
…111111001111011000
31221202112020120111200
4103002111333033120
5313330221210034
613220140554200
71322350434144
oct230225771730
957675216450
1020440413144
11873a097a28
123b65552960
131c099c8b28
14dbc9aa224
157e9763a99
hex4c257f3d8

20440413144 has 48 divisors (see below), whose sum is σ = 55366233000. Its totient is φ = 6812636544.

The previous prime is 20440413113. The next prime is 20440413247. The reversal of 20440413144 is 44131404402.

20440413144 is a `hidden beast` number, since 204 + 4 + 0 + 413 + 1 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 932292 + ... + 953964.

Almost surely, 220440413144 is an apocalyptic number.

20440413144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20440413144 is an abundant number, since it is smaller than the sum of its proper divisors (34925819856).

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

20440413144 is a wasteful number, since it uses less digits than its factorization.

20440413144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34784 (or 34777 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 20440413144 its reverse (44131404402), we get a palindrome (64571817546).

The spelling of 20440413144 in words is "twenty billion, four hundred forty million, four hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 13099 21673 26198 39297 43346 52396 65019 78594 86692 104792 117891 130038 157188 173384 195057 235782 260076 314376 390114 471564 520152 780228 943128 1560456 283894627 567789254 851683881 1135578508 1703367762 2271157016 2555051643 3406735524 5110103286 6813471048 10220206572 20440413144