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42224442000202 = 27115919512381957
BaseRepresentation
bin10011001100111001001001…
…10111011100001101001010
312112111121122221222210202201
421212130210313130031022
521013301124123001302
6225445350232150414
711615421015056440
oct1146344467341512
9175447587883681
1042224442000202
11124aa3157a1620
12489b46823840a
131a73994ba29c7
14a5d961260b90
154d354bd6cc87
hex266724ddc34a

42224442000202 has 64 divisors (see below), whose sum is σ = 80344777236480. Its totient is φ = 16163953416000.

The previous prime is 42224442000199. The next prime is 42224442000203. The reversal of 42224442000202 is 20200024442224.

42224442000202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42224442000203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16535808 + ... + 18917764.

It is an arithmetic number, because the mean of its divisors is an integer number (1255387144320).

Almost surely, 242224442000202 is an apocalyptic number.

42224442000202 is a deficient number, since it is larger than the sum of its proper divisors (38120335236278).

42224442000202 is a wasteful number, since it uses less digits than its factorization.

42224442000202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383987.

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 42224442000202 its reverse (20200024442224), we get a palindrome (62424466442426).

The spelling of 42224442000202 in words is "forty-two trillion, two hundred twenty-four billion, four hundred forty-two million, two hundred two", and thus it is an aban number.

Divisors: 1 2 7 11 14 22 59 77 118 154 413 649 826 1298 1951 3902 4543 9086 13657 21461 27314 42922 115109 150227 230218 300454 805763 1266199 1611526 2381957 2532398 4763914 8863393 16673699 17726786 26201527 33347398 52403054 140535463 183410689 281070926 366821378 983748241 1545890093 1967496482 3091780186 4647198107 9294396214 10821230651 21642461302 32530386749 51119179177 65060773498 102238358354 274184688313 357834254239 548369376626 715668508478 1919292818191 3016031571443 3838585636382 6032063142886 21112221000101 42224442000202