Base | Representation |
---|---|
bin | 1000011001100110111… |
… | …0011010000010101000 |
3 | 111210111102100222121210 |
4 | 2012121232122002220 |
5 | 4331023112000404 |
6 | 150144012233120 |
7 | 13266132155430 |
oct | 2063156320250 |
9 | 453442328553 |
10 | 144313000104 |
11 | 56225a20a39 |
12 | 23b7616b7a0 |
13 | 107bb2b3770 |
14 | 6db037b2c0 |
15 | 3b496c2689 |
hex | 2199b9a0a8 |
144313000104 has 128 divisors (see below), whose sum is σ = 444249066240. Its totient is φ = 38042652672.
The previous prime is 144313000103. The next prime is 144313000129. The reversal of 144313000104 is 401000313441.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is not an unprimeable number, because it can be changed into a prime (144313000103) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4993504 + ... + 5022320.
It is an arithmetic number, because the mean of its divisors is an integer number (3470695830).
Almost surely, 2144313000104 is an apocalyptic number.
144313000104 is a gapful number since it is divisible by the number (14) 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 144313000104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222124533120).
144313000104 is an abundant number, since it is smaller than the sum of its proper divisors (299936066136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144313000104 is a wasteful number, since it uses less digits than its factorization.
144313000104 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 31139 (or 31135 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 21.
Adding to 144313000104 its reverse (401000313441), we get a palindrome (545313313545).
The spelling of 144313000104 in words is "one hundred forty-four billion, three hundred thirteen million, one hundred four", and thus it is an aban number.
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