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42244222004244 = 22331322314498247
BaseRepresentation
bin10011001101011101111111…
…10110001010110000010100
312112120111201110120010022000
421212232333312022300110
521014112131313113434
6225502421102235300
711620021126244631
oct1146567766126024
9175514643503260
1042244222004244
11125077460203a7
1248a3268585b30
131a757c7b11a00
14a608ba23b188
154d3d0862eb99
hex266bbfd8ac14

42244222004244 has 72 divisors (see below), whose sum is σ = 118594890227520. Its totient is φ = 12998222149536.

The previous prime is 42244222004227. The next prime is 42244222004267. The reversal of 42244222004244 is 44240022244224.

42244222004244 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 4 + 2 + 220 + 0 + 424 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42244222004199 and 42244222004208.

It is a congruent number.

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, 1157230872 + ... + 1157267375.

It is an arithmetic number, because the mean of its divisors is an integer number (1647151253160).

Almost surely, 242244222004244 is an apocalyptic number.

It is an amenable number.

42244222004244 is an abundant number, since it is smaller than the sum of its proper divisors (76350668223276).

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

42244222004244 is a wasteful number, since it uses less digits than its factorization.

42244222004244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314498286 (or 2314498265 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 42244222004244 its reverse (44240022244224), we get a palindrome (86484244248468).

The spelling of 42244222004244 in words is "forty-two trillion, two hundred forty-four billion, two hundred twenty-two million, four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 468 507 676 702 1014 1404 1521 2028 3042 4563 6084 9126 18252 2314498247 4628996494 6943494741 9257992988 13886989482 20830484223 27773978964 30088477211 41660968446 60176954422 62491452669 83321936892 90265431633 120353908844 124982905338 180530863266 249965810676 270796294899 361061726532 391150203743 541592589798 782300407486 812388884697 1083185179596 1173450611229 1564600814972 1624777769394 2346901222458 3249555538788 3520351833687 4693802444916 7040703667374 10561055501061 14081407334748 21122111002122 42244222004244