Base | Representation |
---|---|
bin | 100000110000111111011011… |
… | …000001101111001110110000 |
3 | 200220020012221001121220200001 |
4 | 200300333123001233032300 |
5 | 122342000220314222000 |
6 | 1230252304145435344 |
7 | 42232115330151340 |
oct | 4060773301571660 |
9 | 626205831556601 |
10 | 144104122414000 |
11 | 41a09240352631 |
12 | 141b441703bb54 |
13 | 6253c640cab98 |
14 | 2782968d88d20 |
15 | 119d72b58746a |
hex | 830fdb06f3b0 |
144104122414000 has 80 divisors (see below), whose sum is σ = 398221449178176. Its totient is φ = 49407127680000.
The previous prime is 144104122413989. The next prime is 144104122414051. The reversal of 144104122414000 is 414221401441.
144104122414000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a self number, because there is not a number n which added to its sum of digits gives 144104122414000.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5146561801 + ... + 5146589800.
Almost surely, 2144104122414000 is an apocalyptic number.
144104122414000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
144104122414000 is an abundant number, since it is smaller than the sum of its proper divisors (254117326764176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144104122414000 is a wasteful number, since it uses less digits than its factorization.
144104122414000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10293151631 (or 10293151615 counting only the distinct ones).
The product of its (nonzero) digits is 4096, while the sum is 28.
Adding to 144104122414000 its reverse (414221401441), we get a palindrome (144518343815441).
The spelling of 144104122414000 in words is "one hundred forty-four trillion, one hundred four billion, one hundred twenty-two million, four hundred fourteen thousand".
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