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3423361114041 = 3111923832860087
BaseRepresentation
bin110001110100010000001…
…110010001111110111001
3110010021021220220012100220
4301310100032101332321
5422042020421122131
611140400445250253
7502221036231231
oct61642016217671
913107256805326
103423361114041
1110aa9261138a0
12473578863989
131baa8aca523b
14bb997908cc1
155e0b1ecde96
hex31d10391fb9

3423361114041 has 64 divisors (see below), whose sum is σ = 5535299911680. Its totient is φ = 1857454251840.

The previous prime is 3423361114031. The next prime is 3423361114171. The reversal of 3423361114041 is 1404111633243.

3423361114041 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 3423361114041 - 210 = 3423361113017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 3423361113993 and 3423361114011.

It is not an unprimeable number, because it can be changed into a prime (3423361114031) 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, 233101 + ... + 2626986.

It is an arithmetic number, because the mean of its divisors is an integer number (86489061120).

Almost surely, 23423361114041 is an apocalyptic number.

It is an amenable number.

3423361114041 is a deficient number, since it is larger than the sum of its proper divisors (2111938797639).

3423361114041 is a wasteful number, since it uses less digits than its factorization.

3423361114041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860226.

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 3423361114041 its reverse (1404111633243), we get a palindrome (4827472747284).

The spelling of 3423361114041 in words is "three trillion, four hundred twenty-three billion, three hundred sixty-one million, one hundred fourteen thousand, forty-one".

Divisors: 1 3 11 19 23 33 57 69 83 209 249 253 437 627 759 913 1311 1577 1909 2739 4731 4807 5727 14421 17347 20999 36271 52041 62997 108813 398981 1196943 2860087 8580261 31460957 54341653 65782001 94382871 163024959 197346003 237387221 597758183 712161663 723602011 1249858019 1793274549 2170806033 2611259431 3749574057 4510357199 5459906083 7833778293 13531071597 13748438209 16379718249 41245314627 49613929189 60058966913 103738215577 148841787567 180176900739 311214646731 1141120371347 3423361114041