Base | Representation |
---|---|
bin | 1000011000011100100… |
… | …1110011001111010101 |
3 | 111202200201001202222110 |
4 | 2012013021303033111 |
5 | 4324403330222401 |
6 | 150053042021233 |
7 | 13255326552426 |
oct | 2060711631725 |
9 | 452621052873 |
10 | 144001414101 |
11 | 56086053846 |
12 | 23aa9947819 |
13 | 1076b88a24c |
14 | 6d80c2d64d |
15 | 3b2c1759d6 |
hex | 21872733d5 |
144001414101 has 16 divisors (see below), whose sum is σ = 195563939328. Its totient is φ = 94231830000.
The previous prime is 144001414097. The next prime is 144001414153. The reversal of 144001414101 is 101414100441.
144001414101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 144001414101 - 22 = 144001414097 is a prime.
It is a super-4 number, since 4×1440014141014 (a number of 46 digits) contains 4444 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144001410101) 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 15 ways as a sum of consecutive naturals, for example, 1440775 + ... + 1537476.
It is an arithmetic number, because the mean of its divisors is an integer number (12222746208).
Almost surely, 2144001414101 is an apocalyptic number.
It is an amenable number.
144001414101 is a deficient number, since it is larger than the sum of its proper divisors (51562525227).
144001414101 is a wasteful number, since it uses less digits than its factorization.
144001414101 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2978552.
The product of its (nonzero) digits is 256, while the sum is 21.
Adding to 144001414101 its reverse (101414100441), we get a palindrome (245415514542).
The spelling of 144001414101 in words is "one hundred forty-four billion, one million, four hundred fourteen thousand, one hundred one".
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