Base | Representation |
---|---|
bin | 11101100100000100100011… |
… | …011111100010111101000100 |
3 | 122001100222212112010100202200 |
4 | 131210010203133202331010 |
5 | 114020240320422032004 |
6 | 1140311202520034500 |
7 | 36246534564204543 |
oct | 3544044337427504 |
9 | 561328775110680 |
10 | 130022140424004 |
11 | 3847a097665504 |
12 | 126bb1b3902a30 |
13 | 577205c5324aa |
14 | 241716885415a |
15 | 10072931b4239 |
hex | 7641237e2f44 |
130022140424004 has 144 divisors (see below), whose sum is σ = 351298099728576. Its totient is φ = 40405859020800.
The previous prime is 130022140423999. The next prime is 130022140424039. The reversal of 130022140424004 is 400424041220031.
130022140424004 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 2 + 214 + 0 + 42 + 400 + 4 = 666.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42371644 + ... + 45336524.
It is an arithmetic number, because the mean of its divisors is an integer number (2439570137004).
Almost surely, 2130022140424004 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 130022140424004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175649049864288).
130022140424004 is an abundant number, since it is smaller than the sum of its proper divisors (221275959304572).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130022140424004 is a wasteful number, since it uses less digits than its factorization.
130022140424004 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2965586 (or 2965581 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 27.
Adding to 130022140424004 its reverse (400424041220031), we get a palindrome (530446181644035).
The spelling of 130022140424004 in words is "one hundred thirty trillion, twenty-two billion, one hundred forty million, four hundred twenty-four thousand, four".
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