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4013420243104 = 251714715015371
BaseRepresentation
bin111010011001110010011…
…111001110100010100000
3112012200100011020200120001
4322121302133032202200
51011223441040234404
612311423444225344
7562650203123236
oct72316237164240
915180304220501
104013420243104
11130809a108978
125499b239b254
1323160527899c
14dc37181c956
156e5e926d7a4
hex3a6727ce8a0

4013420243104 has 48 divisors (see below), whose sum is σ = 8371899680256. Its totient is φ = 1887384038400.

The previous prime is 4013420243093. The next prime is 4013420243117.

4013420243104 is nontrivially palindromic in base 10.

4013420243104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40134202431042 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1707462 + ... + 3307909.

It is an arithmetic number, because the mean of its divisors is an integer number (174414576672).

Almost surely, 24013420243104 is an apocalyptic number.

It is an amenable number.

4013420243104 is an abundant number, since it is smaller than the sum of its proper divisors (4358479437152).

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

4013420243104 is a wasteful number, since it uses less digits than its factorization.

4013420243104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5016869 (or 5016861 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 4013420 and 243104, that added together give a palindrome (4256524).

The spelling of 4013420243104 in words is "four trillion, thirteen billion, four hundred twenty million, two hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 1471 2942 5884 11768 23536 25007 47072 50014 100028 200056 400112 800224 5015371 10030742 20061484 40122968 80245936 85261307 160491872 170522614 341045228 682090456 1364180912 2728361824 7377610741 14755221482 29510442964 59020885928 118041771856 125419382597 236083543712 250838765194 501677530388 1003355060776 2006710121552 4013420243104