Base | Representation |
---|---|
bin | 10000101001100010111… |
… | …100001000001101000000 |
3 | 11001101011202221111011201 |
4 | 100221202330020031000 |
5 | 122221130013331034 |
6 | 2233334012350544 |
7 | 145442250665404 |
oct | 20514274101500 |
9 | 4041152844151 |
10 | 1144121230144 |
11 | 401245675262 |
12 | 1658a3a75454 |
13 | 83b75917049 |
14 | 3d539145104 |
15 | 1eb641a8014 |
hex | 10a62f08340 |
1144121230144 has 56 divisors (see below), whose sum is σ = 2406273290568. Its totient is φ = 537882132480.
The previous prime is 1144121230121. The next prime is 1144121230243. The reversal of 1144121230144 is 4410321214411.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 436772948544 + 707348281600 = 660888^2 + 841040^2 .
It is a congruent number.
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, 595872 + ... + 1625824.
It is an arithmetic number, because the mean of its divisors is an integer number (42969165903).
Almost surely, 21144121230144 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 1144121230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203136645284).
1144121230144 is an abundant number, since it is smaller than the sum of its proper divisors (1262152060424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1144121230144 is a wasteful number, since it uses less digits than its factorization.
1144121230144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1031003 (or 1030993 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 28.
Adding to 1144121230144 its reverse (4410321214411), we get a palindrome (5554442444555).
The spelling of 1144121230144 in words is "one trillion, one hundred forty-four billion, one hundred twenty-one million, two hundred thirty thousand, one hundred forty-four".
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