| Base | Representation |
|---|---|
| bin | 10011100100000100101… |
| … | …000001101101001000000 |
| 3 | 11202112010201022210121100 |
| 4 | 103210010220031221000 |
| 5 | 134011314004223034 |
| 6 | 2505335425254400 |
| 7 | 166062354654006 |
| oct | 23440450155100 |
| 9 | 4675121283540 |
| 10 | 1344402414144 |
| 11 | 479181129129 |
| 12 | 198679794400 |
| 13 | 99a1327678a |
| 14 | 490d86dca76 |
| 15 | 24e87171099 |
| hex | 13904a0da40 |
1344402414144 has 336 divisors, whose sum is σ = 4089483281520. Its totient is φ = 421519687680.
The previous prime is 1344402414137. The next prime is 1344402414197. The reversal of 1344402414144 is 4414142044431.
1344402414144 is a `hidden beast` number, since 1 + 34 + 440 + 2 + 4 + 141 + 44 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 110330265600 + 1234072148544 = 332160^2 + 1110888^2 .
It is a super-3 number, since 3×13444024141443 (a number of 37 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 1344402414099 and 1344402414108.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 833478682 + ... + 833480294.
It is an arithmetic number, because the mean of its divisors is an integer number (12171081195).
Almost surely, 21344402414144 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 1344402414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044741640760).
1344402414144 is an abundant number, since it is smaller than the sum of its proper divisors (2745080867376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1344402414144 is a wasteful number, since it uses less digits than its factorization.
1344402414144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2918 (or 2905 counting only the distinct ones).
The product of its (nonzero) digits is 98304, while the sum is 36.
Adding to 1344402414144 its reverse (4414142044431), we get a palindrome (5758544458575).
The spelling of 1344402414144 in words is "one trillion, three hundred forty-four billion, four hundred two million, four hundred fourteen thousand, one hundred forty-four".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.072 sec. • engine limits •