Base | Representation |
---|---|
bin | 10001010001111… |
… | …01000000100000 |
3 | 101002202101122120 |
4 | 20220331000200 |
5 | 244102002001 |
6 | 22214504240 |
7 | 3410040411 |
oct | 1050750040 |
9 | 332671576 |
10 | 144953376 |
11 | 74905687 |
12 | 40665080 |
13 | 24052b39 |
14 | 15373808 |
15 | cad4236 |
hex | 8a3d020 |
144953376 has 48 divisors (see below), whose sum is σ = 381342528. Its totient is φ = 48211200.
The previous prime is 144953371. The next prime is 144953377. The reversal of 144953376 is 673359441.
144953376 is digitally balanced in base 3, 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 (48).
It is a super-2 number, since 2×1449533762 = 42022962427594752, which contains 22 as substring.
It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.
It is not an unprimeable number, because it can be changed into a prime (144953371) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50541 + ... + 53331.
It is an arithmetic number, because the mean of its divisors is an integer number (7944636).
Almost surely, 2144953376 is an apocalyptic number.
144953376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
144953376 is an abundant number, since it is smaller than the sum of its proper divisors (236389152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144953376 is a wasteful number, since it uses less digits than its factorization.
144953376 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3345 (or 3337 counting only the distinct ones).
The product of its digits is 272160, while the sum is 42.
The square root of 144953376 is about 12039.6584669167. The cubic root of 144953376 is about 525.3024724127.
It can be divided in two parts, 14495 and 3376, that added together give a palindrome (17871).
The spelling of 144953376 in words is "one hundred forty-four million, nine hundred fifty-three thousand, three hundred seventy-six".
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