Base | Representation |
---|---|
bin | 100110110100001… |
… | …0000110010010000 |
3 | 10100202200210010101 |
4 | 1031220100302100 |
5 | 10131403301034 |
6 | 333122542144 |
7 | 44163134653 |
oct | 11550206220 |
9 | 3322623111 |
10 | 1302400144 |
11 | 609197561 |
12 | 304207954 |
13 | 179a98596 |
14 | c4d8789a |
15 | 79516514 |
hex | 4da10c90 |
1302400144 has 80 divisors (see below), whose sum is σ = 2729825280. Its totient is φ = 600082560.
The previous prime is 1302400129. The next prime is 1302400153. The reversal of 1302400144 is 4410042031.
It is a super-2 number, since 2×13024001442 = 3392492270182441472, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (19).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1791109 + ... + 1791835.
It is an arithmetic number, because the mean of its divisors is an integer number (34122816).
Almost surely, 21302400144 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 1302400144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364912640).
1302400144 is an abundant number, since it is smaller than the sum of its proper divisors (1427425136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1302400144 is a wasteful number, since it uses less digits than its factorization.
1302400144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 908 (or 902 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 19.
The square root of 1302400144 is about 36088.7814147278. The cubic root of 1302400144 is about 1092.0641368136.
Adding to 1302400144 its reverse (4410042031), we get a palindrome (5712442175).
The spelling of 1302400144 in words is "one billion, three hundred two million, four hundred thousand, one hundred forty-four".
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