Base | Representation |
---|---|
bin | 1000011001111011101… |
… | …0110010110000010101 |
3 | 111210201111022210200022 |
4 | 2012132322302300111 |
5 | 4331212413230031 |
6 | 150200403554525 |
7 | 13301240610545 |
oct | 2063672626025 |
9 | 453644283608 |
10 | 144400133141 |
11 | 56270124310 |
12 | 23b9b38ba45 |
13 | 10803370784 |
14 | 6dbbb7d325 |
15 | 3b5218497b |
hex | 219eeb2c15 |
144400133141 has 8 divisors (see below), whose sum is σ = 162608947968. Its totient is φ = 127038240000.
The previous prime is 144400133123. The next prime is 144400133179. The reversal of 144400133141 is 141331004441.
It is a happy number.
144400133141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a sphenic number, since it is the product of 3 distinct primes.
It is a cyclic number.
It is not a de Polignac number, because 144400133141 - 26 = 144400133077 is a prime.
It is a super-3 number, since 3×1444001331413 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Duffinian number.
It is a Curzon number.
It is a self number, because there is not a number n which added to its sum of digits gives 144400133141.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144400136141) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211730060 + ... + 211730741.
It is an arithmetic number, because the mean of its divisors is an integer number (20326118496).
Almost surely, 2144400133141 is an apocalyptic number.
144400133141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
144400133141 is a deficient number, since it is larger than the sum of its proper divisors (18208814827).
144400133141 is a wasteful number, since it uses less digits than its factorization.
144400133141 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 423460843.
The product of its (nonzero) digits is 2304, while the sum is 26.
Adding to 144400133141 its reverse (141331004441), we get a palindrome (285731137582).
The spelling of 144400133141 in words is "one hundred forty-four billion, four hundred million, one hundred thirty-three thousand, one hundred forty-one".
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