Base | Representation |
---|---|
bin | 1101100100100001001… |
… | …1001110101011111000 |
3 | 211021210000100211102020 |
4 | 3121020103032223320 |
5 | 12304433124000144 |
6 | 255034213434440 |
7 | 22562312536500 |
oct | 3311023165370 |
9 | 737700324366 |
10 | 233141234424 |
11 | 8a96917013a |
12 | 3922663ba20 |
13 | 18ca6418967 |
14 | b3d97b8a00 |
15 | 60e7c3e419 |
hex | 36484ceaf8 |
233141234424 has 96 divisors (see below), whose sum is σ = 680025836880. Its totient is φ = 66414007296.
The previous prime is 233141234413. The next prime is 233141234429. The reversal of 233141234424 is 424432141332.
233141234424 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 2×2331412344242 (a number of 24 digits) contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (233141234429) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102174 + ... + 690450.
Almost surely, 2233141234424 is an apocalyptic number.
233141234424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 233141234424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340012918440).
233141234424 is an abundant number, since it is smaller than the sum of its proper divisors (446884602456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233141234424 is a wasteful number, since it uses less digits than its factorization.
233141234424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 588637 (or 588626 counting only the distinct ones).
The product of its digits is 55296, while the sum is 33.
Adding to 233141234424 its reverse (424432141332), we get a palindrome (657573375756).
The spelling of 233141234424 in words is "two hundred thirty-three billion, one hundred forty-one million, two hundred thirty-four thousand, four hundred twenty-four".
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