Base | Representation |
---|---|
bin | 10001010001111… |
… | …00111100000000 |
3 | 101002202101020220 |
4 | 20220330330000 |
5 | 244101444323 |
6 | 22214503040 |
7 | 3410036520 |
oct | 1050747400 |
9 | 332671226 |
10 | 144953088 |
11 | 74905445 |
12 | 40664a80 |
13 | 24052977 |
14 | 15373680 |
15 | cad40e3 |
hex | 8a3cf00 |
144953088 has 144 divisors (see below), whose sum is σ = 449352960. Its totient is φ = 40624128.
The previous prime is 144953077. The next prime is 144953089. The reversal of 144953088 is 880359441.
It is a super-2 number, since 2×1449530882 = 42022795441471488, which contains 22 as substring.
It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144953089) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316956 + ... + 317412.
Almost surely, 2144953088 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 144953088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224676480).
144953088 is an abundant number, since it is smaller than the sum of its proper divisors (304399872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144953088 is an equidigital number, since it uses as much as digits as its factorization.
144953088 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 542 (or 528 counting only the distinct ones).
The product of its (nonzero) digits is 138240, while the sum is 42.
The square root of 144953088 is about 12039.6465064386. The cubic root of 144953088 is about 525.3021245142.
The spelling of 144953088 in words is "one hundred forty-four million, nine hundred fifty-three thousand, eighty-eight".
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