Search a number
-
+
20040444322400 = 2552113221686331
BaseRepresentation
bin1001000111010000001111…
…00100001010001001100000
32121221211220000120221220102
410203220013210022021200
510111320312221304100
6110342241504201532
74135605615054155
oct443500744121140
977854800527812
1020040444322400
116427117404077
1222b7b803092a8
13b24a62425958
144d3d6984a22c
1524b470888cd5
hex123a0790a260

20040444322400 has 72 divisors (see below), whose sum is σ = 49356688329144. Its totient is φ = 7945238067200.

The previous prime is 20040444322361. The next prime is 20040444322411. The reversal of 20040444322400 is 422344404002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110752766 + ... + 110933565.

It is an arithmetic number, because the mean of its divisors is an integer number (685509560127).

Almost surely, 220040444322400 is an apocalyptic number.

20040444322400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20040444322400 is an abundant number, since it is smaller than the sum of its proper divisors (29316244006744).

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

20040444322400 is a wasteful number, since it uses less digits than its factorization.

20040444322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221686464 (or 221686451 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

Adding to 20040444322400 its reverse (422344404002), we get a palindrome (20462788726402).

The spelling of 20040444322400 in words is "twenty trillion, forty billion, four hundred forty-four million, three hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 113 160 200 226 400 452 565 800 904 1130 1808 2260 2825 3616 4520 5650 9040 11300 18080 22600 45200 90400 221686331 443372662 886745324 1108431655 1773490648 2216863310 3546981296 4433726620 5542158275 7093962592 8867453240 11084316550 17734906480 22168633100 25050555403 35469812960 44337266200 50101110806 88674532400 100202221612 125252777015 177349064800 200404443224 250505554030 400808886448 501011108060 626263885075 801617772896 1002022216120 1252527770150 2004044432240 2505055540300 4008088864480 5010111080600 10020222161200 20040444322400