Search a number
-
+
144431000 = 2353747439
BaseRepresentation
bin10001001101111…
…01011110011000
3101001202212002022
420212331132120
5243433243000
622155354012
73402433430
oct1046753630
9331685068
10144431000
117458916a
1240452908
1323bcc13c
14152792c0
15ca2e585
hex89bd798

144431000 has 128 divisors (see below), whose sum is σ = 395366400. Its totient is φ = 48355200.

The previous prime is 144430999. The next prime is 144431041. The reversal of 144431000 is 134441.

It is a super-2 number, since 2×1444310002 = 41720627522000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144431000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328781 + ... + 329219.

It is an arithmetic number, because the mean of its divisors is an integer number (3088800).

Almost surely, 2144431000 is an apocalyptic number.

144431000 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 144431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197683200).

144431000 is an abundant number, since it is smaller than the sum of its proper divisors (250935400).

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

144431000 is a wasteful number, since it uses less digits than its factorization.

144431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 144431000 is about 12017.9449158332. The cubic root of 144431000 is about 524.6706929557.

Adding to 144431000 its reverse (134441), we get a palindrome (144565441).

The spelling of 144431000 in words is "one hundred forty-four million, four hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 47 50 56 70 94 100 125 140 175 188 200 235 250 280 329 350 376 439 470 500 658 700 875 878 940 1000 1175 1316 1400 1645 1750 1756 1880 2195 2350 2632 3073 3290 3500 3512 4390 4700 5875 6146 6580 7000 8225 8780 9400 10975 11750 12292 13160 15365 16450 17560 20633 21950 23500 24584 30730 32900 41125 41266 43900 47000 54875 61460 65800 76825 82250 82532 87800 103165 109750 122920 144431 153650 164500 165064 206330 219500 288862 307300 329000 384125 412660 439000 515825 577724 614600 722155 768250 825320 1031650 1155448 1444310 1536500 2063300 2579125 2888620 3073000 3610775 4126600 5158250 5777240 7221550 10316500 14443100 18053875 20633000 28886200 36107750 72215500 144431000