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144501364 = 227231731297
BaseRepresentation
bin10001001110011…
…10101001110100
3101001220102121101
420213032221310
5243443020424
622201055444
73403145530
oct1047165164
9331812541
10144501364
1174627017
1240487584
1323c25187
1415296bc0
15ca45344
hex89cea74

144501364 has 48 divisors (see below), whose sum is σ = 303545088. Its totient is φ = 58848768.

The previous prime is 144501361. The next prime is 144501437. The reversal of 144501364 is 463105441.

144501364 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 (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144501361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110764 + ... + 112060.

It is an arithmetic number, because the mean of its divisors is an integer number (6323856).

Almost surely, 2144501364 is an apocalyptic number.

144501364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144501364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151772544).

144501364 is an abundant number, since it is smaller than the sum of its proper divisors (159043724).

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

144501364 is a wasteful number, since it uses less digits than its factorization.

144501364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 144501364 is about 12020.8720149580. The cubic root of 144501364 is about 524.7558822734.

The spelling of 144501364 in words is "one hundred forty-four million, five hundred one thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 23 28 46 92 161 173 322 346 644 692 1211 1297 2422 2594 3979 4844 5188 7958 9079 15916 18158 27853 29831 36316 55706 59662 111412 119324 208817 224381 417634 448762 835268 897524 1570667 3141334 5160763 6282668 10321526 20643052 36125341 72250682 144501364