Base | Representation |
---|---|
bin | 10011100011111010100… |
… | …010011010111001100000 |
3 | 11202111200220202221101200 |
4 | 103203322202122321200 |
5 | 134010442134422144 |
6 | 2505310541001200 |
7 | 166055231011032 |
oct | 23437242327140 |
9 | 4674626687350 |
10 | 1344233123424 |
11 | 4790a4610544 |
12 | 198630b53200 |
13 | 999b7182259 |
14 | 490c0031c52 |
15 | 24e77380c69 |
hex | 138fa89ae60 |
1344233123424 has 144 divisors (see below), whose sum is σ = 4048440610032. Its totient is φ = 421624848384.
The previous prime is 1344233123377. The next prime is 1344233123491. The reversal of 1344233123424 is 4243213324431.
1344233123424 is a `hidden beast` number, since 1 + 34 + 42 + 331 + 234 + 24 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×13442331234242 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23437887 + ... + 23495169.
It is an arithmetic number, because the mean of its divisors is an integer number (28114170903).
Almost surely, 21344233123424 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 1344233123424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024220305016).
1344233123424 is an abundant number, since it is smaller than the sum of its proper divisors (2704207486608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1344233123424 is a wasteful number, since it uses less digits than its factorization.
1344233123424 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 62109 (or 62098 counting only the distinct ones).
The product of its digits is 165888, while the sum is 36.
Adding to 1344233123424 its reverse (4243213324431), we get a palindrome (5587446447855).
The spelling of 1344233123424 in words is "one trillion, three hundred forty-four billion, two hundred thirty-three million, one hundred twenty-three thousand, four hundred twenty-four".
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