Base | Representation |
---|---|
bin | 10010111001010100… |
… | …00001011010000000 |
3 | 222011222120200010121 |
4 | 21130222001122000 |
5 | 131233440014042 |
6 | 4354342510024 |
7 | 506250303301 |
oct | 113452013200 |
9 | 28158520117 |
10 | 10144454272 |
11 | 4336309707 |
12 | 1b71435314 |
13 | c588c7084 |
14 | 6c34067a8 |
15 | 3e58e4367 |
hex | 25ca81680 |
10144454272 has 64 divisors (see below), whose sum is σ = 21028717800. Its totient is φ = 4868706304.
The previous prime is 10144454239. The next prime is 10144454321. The reversal of 10144454272 is 27245444101.
It can be written as a sum of positive squares in 4 ways, for example, as 10139684416 + 4769856 = 100696^2 + 2184^2 .
It is a tau number, because it is divible by the number of its divisors (64).
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 634278 + ... + 650074.
Almost surely, 210144454272 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 10144454272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10514358900).
10144454272 is an abundant number, since it is smaller than the sum of its proper divisors (10884263528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10144454272 is a wasteful number, since it uses less digits than its factorization.
10144454272 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 16013 (or 16001 counting only the distinct ones).
The product of its (nonzero) digits is 35840, while the sum is 34.
Adding to 10144454272 its reverse (27245444101), we get a palindrome (37389898373).
The spelling of 10144454272 in words is "ten billion, one hundred forty-four million, four hundred fifty-four thousand, two hundred seventy-two".
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