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144231000 = 23353131367
BaseRepresentation
bin10001001100011…
…00101001011000
3101001101200201220
420212030221120
5243410343000
622151212040
73400641354
oct1046145130
9331350656
10144231000
1174461981
1240377020
1323b5c0b4
1415226464
15c9e01a0
hex898ca58

144231000 has 128 divisors (see below), whose sum is σ = 454671360. Its totient is φ = 38064000.

The previous prime is 144230993. The next prime is 144231037. The reversal of 144231000 is 132441.

It is a super-2 number, since 2×1442310002 = 41605162722000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 392817 + ... + 393183.

It is an arithmetic number, because the mean of its divisors is an integer number (3552120).

Almost surely, 2144231000 is an apocalyptic number.

144231000 is a gapful number since it is divisible by the number (10) 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 144231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227335680).

144231000 is an abundant number, since it is smaller than the sum of its proper divisors (310440360).

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

144231000 is a wasteful number, since it uses less digits than its factorization.

144231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 144231000 is about 12009.6211430669. The cubic root of 144231000 is about 524.4284028390.

Adding to 144231000 its reverse (132441), we get a palindrome (144363441).

The spelling of 144231000 in words is "one hundred forty-four million, two hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 131 150 200 250 262 300 367 375 393 500 524 600 655 734 750 786 1000 1048 1101 1310 1468 1500 1572 1835 1965 2202 2620 2936 3000 3144 3275 3670 3930 4404 5240 5505 6550 7340 7860 8808 9175 9825 11010 13100 14680 15720 16375 18350 19650 22020 26200 27525 32750 36700 39300 44040 45875 48077 49125 55050 65500 73400 78600 91750 96154 98250 110100 131000 137625 144231 183500 192308 196500 220200 240385 275250 288462 367000 384616 393000 480770 550500 576924 721155 961540 1101000 1153848 1201925 1442310 1923080 2403850 2884620 3605775 4807700 5769240 6009625 7211550 9615400 12019250 14423100 18028875 24038500 28846200 36057750 48077000 72115500 144231000