Base | Representation |
---|---|
bin | 101111110010001010100011… |
… | …1110110110101111110000000 |
3 | 2001010012100011021022021211011 |
4 | 1133210111013312311332000 |
5 | 420042333412012104044 |
6 | 4045532112520530304 |
7 | 154350316256213146 |
oct | 13744250766657600 |
9 | 2033170137267734 |
10 | 420311000113024 |
11 | 111a18992095729 |
12 | 3b183107620994 |
13 | 1506b2075c72b7 |
14 | 75b1237907596 |
15 | 338d3c1236134 |
hex | 17e4547db5f80 |
420311000113024 has 128 divisors (see below), whose sum is σ = 890342983152000. Its totient is φ = 197077519411200.
The previous prime is 420311000113021. The next prime is 420311000113087.
420311000113024 is nontrivially palindromic in base 10.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×4203110001130242 (a number of 30 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 420311000112986 and 420311000113004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (420311000113021) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1065600067 + ... + 1065994429.
It is an arithmetic number, because the mean of its divisors is an integer number (6955804555875).
Almost surely, 2420311000113024 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 420311000113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445171491576000).
420311000113024 is an abundant number, since it is smaller than the sum of its proper divisors (470031983038976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
420311000113024 is a wasteful number, since it uses less digits than its factorization.
420311000113024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 398836 (or 398824 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 22.
It can be divided in two parts, 420311000 and 113024, that added together give a palindrome (420424024).
The spelling of 420311000113024 in words is "four hundred twenty trillion, three hundred eleven billion, one hundred thirteen thousand, twenty-four".
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