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144034110 = 232511731993
BaseRepresentation
bin10001001010111…
…00100100111110
3101001000200122200
420211130210332
5243333042420
622143052330
73366161343
oct1045344476
9331020580
10144034110
1174337a60
12402a10a6
1323ac05ac
14151b47ca
15c9a1b90
hex895c93e

144034110 has 96 divisors (see below), whose sum is σ = 414337248. Its totient is φ = 34421760.

The previous prime is 144034109. The next prime is 144034123. The reversal of 144034110 is 11430441.

144034110 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71274 + ... + 73266.

It is an arithmetic number, because the mean of its divisors is an integer number (4316013).

Almost surely, 2144034110 is an apocalyptic number.

144034110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144034110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207168624).

144034110 is an abundant number, since it is smaller than the sum of its proper divisors (270303138).

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

144034110 is a wasteful number, since it uses less digits than its factorization.

144034110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2087 counting only the distinct ones).

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

The square root of 144034110 is about 12001.4211658453. The cubic root of 144034110 is about 524.1896614490.

Adding to 144034110 its reverse (11430441), we get a palindrome (155464551).

The spelling of 144034110 in words is "one hundred forty-four million, thirty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 73 90 99 110 146 165 198 219 330 365 438 495 657 730 803 990 1095 1314 1606 1993 2190 2409 3285 3986 4015 4818 5979 6570 7227 8030 9965 11958 12045 14454 17937 19930 21923 24090 29895 35874 36135 43846 59790 65769 72270 89685 109615 131538 145489 179370 197307 219230 290978 328845 394614 436467 657690 727445 872934 986535 1309401 1454890 1600379 1973070 2182335 2618802 3200758 4364670 4801137 6547005 8001895 9602274 13094010 14403411 16003790 24005685 28806822 48011370 72017055 144034110