Base | Representation |
---|---|
bin | 100000110001011001101011… |
… | …001001111111100101001100 |
3 | 200220022220200112002221100000 |
4 | 200301121223021333211030 |
5 | 122342430432414113004 |
6 | 1230313245210004300 |
7 | 42234134004223044 |
oct | 4061315311774514 |
9 | 626286615087300 |
10 | 144132310301004 |
11 | 41a1a195709313 |
12 | 141b9983116690 |
13 | 6256806c2166c |
14 | 2784080886724 |
15 | 119e32b063c39 |
hex | 83166b27f94c |
144132310301004 has 72 divisors (see below), whose sum is σ = 379059031519168. Its totient is φ = 47887607883600.
The previous prime is 144132310300999. The next prime is 144132310301011. The reversal of 144132310301004 is 400103013231441.
144132310301004 is a `hidden beast` number, since 1 + 4 + 41 + 3 + 2 + 310 + 301 + 0 + 0 + 4 = 666.
144132310301004 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×1441323103010043 (a number of 43 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241206922 + ... + 241803729.
Almost surely, 2144132310301004 is an apocalyptic number.
It is an amenable number.
144132310301004 is an abundant number, since it is smaller than the sum of its proper divisors (234926721218164).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144132310301004 is a wasteful number, since it uses less digits than its factorization.
144132310301004 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 483010977 (or 483010963 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
Adding to 144132310301004 its reverse (400103013231441), we get a palindrome (544235323532445).
The spelling of 144132310301004 in words is "one hundred forty-four trillion, one hundred thirty-two billion, three hundred ten million, three hundred one thousand, four".
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