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4222044310041 = 332953313325043
BaseRepresentation
bin111101011100000101011…
…100111000101000011001
3112221121211112020100212000
4331130011130320220121
51023133221320410131
612551325210111213
7614014123334445
oct75340534705031
915847745210760
104222044310041
111388616a43218
1258231611b509
132481a21b213c
141084c3017825
1574c598b1ce6
hex3d705738a19

4222044310041 has 64 divisors (see below), whose sum is σ = 6613735276800. Its totient is φ = 2657834629632.

The previous prime is 4222044309997. The next prime is 4222044310109. The reversal of 4222044310041 is 1400134402224.

4222044310041 is a `hidden beast` number, since 4 + 2 + 220 + 4 + 431 + 0 + 0 + 4 + 1 = 666.

4222044310041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4222044310041 - 214 = 4222044293657 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 4222044309987 and 4222044310014.

It is not an unprimeable number, because it can be changed into a prime (4222043310041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12826666 + ... + 13151708.

It is an arithmetic number, because the mean of its divisors is an integer number (103339613700).

Almost surely, 24222044310041 is an apocalyptic number.

It is an amenable number.

4222044310041 is a deficient number, since it is larger than the sum of its proper divisors (2391690966759).

4222044310041 is a wasteful number, since it uses less digits than its factorization.

4222044310041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325447 (or 325441 counting only the distinct ones).

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

Adding to 4222044310041 its reverse (1400134402224), we get a palindrome (5622178712265).

The spelling of 4222044310041 in words is "four trillion, two hundred twenty-two billion, forty-four million, three hundred ten thousand, forty-one".

Divisors: 1 3 9 27 29 53 87 159 261 313 477 783 939 1431 1537 2817 4611 8451 9077 13833 16589 27231 41499 49767 81693 149301 245079 325043 447903 481081 975129 1443243 2925387 4329729 8776161 9426247 12989187 17227279 28278741 51681837 84836223 101738459 155045511 254508669 305215377 465136533 499591091 915646131 1498773273 2746938393 2950415311 4496319819 5392138327 8851245933 13488959457 16176414981 26553737799 48529244943 79661213397 145587734829 156372011483 469116034449 1407348103347 4222044310041