Base | Representation |
---|---|
bin | 1000011010000110001… |
… | …1011111110101110000 |
3 | 111210211120112122210001 |
4 | 2012201203133311300 |
5 | 4331310223424000 |
6 | 150205023515344 |
7 | 13302315533155 |
oct | 2064143376560 |
9 | 453746478701 |
10 | 144444358000 |
11 | 56293090088 |
12 | 23bb2158b54 |
13 | 1080c586327 |
14 | 6dc39b222c |
15 | 3b55ebd46a |
hex | 21a18dfd70 |
144444358000 has 40 divisors (see below), whose sum is σ = 349266462480. Its totient is φ = 57777742400.
The previous prime is 144444357949. The next prime is 144444358007. The reversal of 144444358000 is 853444441.
144444358000 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 (40).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144444358007) 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, 36109090 + ... + 36113089.
It is an arithmetic number, because the mean of its divisors is an integer number (8731661562).
Almost surely, 2144444358000 is an apocalyptic number.
144444358000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
144444358000 is an abundant number, since it is smaller than the sum of its proper divisors (204822104480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144444358000 is an equidigital number, since it uses as much as digits as its factorization.
144444358000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 72222202 (or 72222186 counting only the distinct ones).
The product of its (nonzero) digits is 122880, while the sum is 37.
The spelling of 144444358000 in words is "one hundred forty-four billion, four hundred forty-four million, three hundred fifty-eight thousand".
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