Search a number
-
+
4214421224041 = 72677187367829
BaseRepresentation
bin111101010100111111000…
…101000111101001101001
3112220220011021001110202111
4331110333011013221221
51023022113313132131
612544024533002321
7613324200225100
oct75247705075151
915826137043674
104214421224041
111385364a02946
125809491833a1
13247558a89672
14107d9c825037
1574960519ab1
hex3d53f147a69

4214421224041 has 24 divisors (see below), whose sum is σ = 4912425229320. Its totient is φ = 3605046262272.

The previous prime is 4214421224021. The next prime is 4214421224053. The reversal of 4214421224041 is 1404221244124.

It can be written as a sum of positive squares in 4 ways, for example, as 1131306649641 + 3083114574400 = 1063629^2 + 1755880^2 .

It is not a de Polignac number, because 4214421224041 - 211 = 4214421221993 is a prime.

It is a super-2 number, since 2×42144212240412 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4214421223994 and 4214421224012.

It is not an unprimeable number, because it can be changed into a prime (4214421224021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62099115 + ... + 62166943.

It is an arithmetic number, because the mean of its divisors is an integer number (204684384555).

Almost surely, 24214421224041 is an apocalyptic number.

It is an amenable number.

4214421224041 is a deficient number, since it is larger than the sum of its proper divisors (698004005279).

4214421224041 is a wasteful number, since it uses less digits than its factorization.

4214421224041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70393 (or 70386 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 31.

Adding to 4214421224041 its reverse (1404221244124), we get a palindrome (5618642468165).

The spelling of 4214421224041 in words is "four trillion, two hundred fourteen billion, four hundred twenty-one million, two hundred twenty-four thousand, forty-one".

Divisors: 1 7 49 677 1873 4739 13111 33173 67829 91777 474803 1268021 3323621 8876147 45920233 62133029 127043717 321441631 889306019 2250091417 6225142133 86008596409 602060174863 4214421224041