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144501354 = 23331372333
BaseRepresentation
bin10001001110011…
…10101001101010
3101001220102121000
420213032221222
5243443020404
622201055430
73403145514
oct1047165152
9331812530
10144501354
1174627008
1240487576
1323c2517a
1415296bb4
15ca45339
hex89cea6a

144501354 has 64 divisors (see below), whose sum is σ = 340577280. Its totient is φ = 45334080.

The previous prime is 144501353. The next prime is 144501361. The reversal of 144501354 is 453105441.

It is a happy number.

144501354 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (144501353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60772 + ... + 63104.

It is an arithmetic number, because the mean of its divisors is an integer number (5321520).

Almost surely, 2144501354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144501354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170288640).

144501354 is an abundant number, since it is smaller than the sum of its proper divisors (196075926).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144501354 is a wasteful number, since it uses less digits than its factorization.

144501354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 144501354 is about 12020.8715990148. The cubic root of 144501354 is about 524.7558701684.

Adding to 144501354 its reverse (453105441), we get a palindrome (597606795).

The spelling of 144501354 in words is "one hundred forty-four million, five hundred one thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 31 37 54 62 74 93 111 186 222 279 333 558 666 837 999 1147 1674 1998 2294 2333 3441 4666 6882 6999 10323 13998 20646 20997 30969 41994 61938 62991 72323 86321 125982 144646 172642 216969 258963 433938 517926 650907 776889 1301814 1553778 1952721 2330667 2675951 3905442 4661334 5351902 8027853 16055706 24083559 48167118 72250677 144501354