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144230688 = 25327292467
BaseRepresentation
bin10001001100011…
…00100100100000
3101001101200022100
420212030210200
5243410340223
622151210400
73400640430
oct1046144440
9331350270
10144230688
1174461718
1240376a00
1323b5bc04
14152262c0
15c9e0043
hex898c920

144230688 has 144 divisors (see below), whose sum is σ = 485110080. Its totient is φ = 39771648.

The previous prime is 144230683. The next prime is 144230701. The reversal of 144230688 is 886032441.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (144230683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57231 + ... + 59697.

It is an arithmetic number, because the mean of its divisors is an integer number (3368820).

Almost surely, 2144230688 is an apocalyptic number.

144230688 is a gapful number since it is divisible by the number (18) 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 144230688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242555040).

144230688 is an abundant number, since it is smaller than the sum of its proper divisors (340879392).

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

144230688 is a wasteful number, since it uses less digits than its factorization.

144230688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 144230688 is about 12009.6081534745. The cubic root of 144230688 is about 524.4280246915.

The spelling of 144230688 in words is "one hundred forty-four million, two hundred thirty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 72 84 87 96 112 116 126 144 168 174 203 224 232 252 261 288 336 348 406 464 504 522 609 672 696 812 928 1008 1044 1218 1392 1624 1827 2016 2088 2436 2467 2784 3248 3654 4176 4872 4934 6496 7308 7401 8352 9744 9868 14616 14802 17269 19488 19736 22203 29232 29604 34538 39472 44406 51807 58464 59208 69076 71543 78944 88812 103614 118416 138152 143086 155421 177624 207228 214629 236832 276304 286172 310842 355248 414456 429258 500801 552608 572344 621684 643887 710496 828912 858516 1001602 1144688 1243368 1287774 1502403 1657824 1717032 2003204 2289376 2486736 2575548 3004806 3434064 4006408 4507209 4973472 5151096 6009612 6868128 8012816 9014418 10302192 12019224 16025632 18028836 20604384 24038448 36057672 48076896 72115344 144230688