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4021444400022 = 233721818396797
BaseRepresentation
bin111010100001010000110…
…000111101001110010110
3112020110001101010002112000
4322201100300331032112
51011341404231300042
612315232005540130
7563353066254600
oct72412060751626
915213041102460
104021444400022
111310537585815
1254b471714646
132322b37c932a
14dc8d33b4170
156e91893b74c
hex3a850c3d396

4021444400022 has 96 divisors (see below), whose sum is σ = 10453005894240. Its totient is φ = 1142635999680.

The previous prime is 4021444400011. The next prime is 4021444400033. The reversal of 4021444400022 is 2200044441204.

4021444400022 is a `hidden beast` number, since 4 + 0 + 214 + 4 + 440 + 0 + 0 + 2 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4021444400011) and next prime (4021444400033).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3719473 + ... + 4677324.

It is an arithmetic number, because the mean of its divisors is an integer number (108885478065).

Almost surely, 24021444400022 is an apocalyptic number.

4021444400022 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4021444400022 is an abundant number, since it is smaller than the sum of its proper divisors (6431561494218).

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

4021444400022 is a wasteful number, since it uses less digits than its factorization.

4021444400022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8397003 (or 8396990 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 4021444400022 its reverse (2200044441204), we get a palindrome (6221488841226).

The spelling of 4021444400022 in words is "four trillion, twenty-one billion, four hundred forty-four million, four hundred thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 181 189 294 362 378 441 543 882 1086 1267 1323 1629 2534 2646 3258 3801 4887 7602 8869 9774 11403 17738 22806 26607 34209 53214 68418 79821 159642 239463 478926 8396797 16793594 25190391 50380782 58777579 75571173 117555158 151142346 176332737 226713519 352665474 411443053 453427038 528998211 822886106 1057996422 1234329159 1519820257 1586994633 2468658318 3039640514 3173989266 3702987477 4559460771 7405974954 9118921542 10638741799 11108962431 13678382313 21277483598 22217924862 27356764626 31916225397 41035146939 63832450794 74471192593 82070293878 95748676191 148942385186 191497352382 223413577779 287246028573 446827155558 574492057146 670240733337 1340481466674 2010722200011 4021444400022