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144312102 = 232112173383
BaseRepresentation
bin10001001101000…
…00011100100110
3101001112210222200
420212200130212
5243420441402
622153035330
73401426664
oct1046403446
9331483880
10144312102
1174507900
12403b5b46
1323b89c9c
1415247c34
15ca0921c
hex89a0726

144312102 has 72 divisors (see below), whose sum is σ = 346574592. Its totient is φ = 43364640.

The previous prime is 144312079. The next prime is 144312139. The reversal of 144312102 is 201213441.

144312102 is digitally balanced in base 3, 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 (18).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 376603 + ... + 376985.

It is an arithmetic number, because the mean of its divisors is an integer number (4813536).

Almost surely, 2144312102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144312102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173287296).

144312102 is an abundant number, since it is smaller than the sum of its proper divisors (202262490).

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

144312102 is a wasteful number, since it uses less digits than its factorization.

144312102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 144312102 is about 12012.9972113540. The cubic root of 144312102 is about 524.5266808855.

Adding to 144312102 its reverse (201213441), we get a palindrome (345525543).

The spelling of 144312102 in words is "one hundred forty-four million, three hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 173 198 242 346 363 383 519 726 766 1038 1089 1149 1557 1903 2178 2298 3114 3447 3806 4213 5709 6894 8426 11418 12639 17127 20933 25278 34254 37917 41866 46343 62799 66259 75834 92686 125598 132518 139029 188397 198777 278058 376794 397554 417087 596331 728849 834174 1192662 1457698 2186547 4373094 6559641 8017339 13119282 16034678 24052017 48104034 72156051 144312102