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144442256 = 24719103659
BaseRepresentation
bin10001001110000…
…00001110010000
3101001210102112012
420213000032100
5243434123011
622155522052
73402511310
oct1047001620
9331712465
10144442256
1174596672
1240459328
1323c042ba
141527d440
15ca32a8b
hex89c0390

144442256 has 80 divisors (see below), whose sum is σ = 340454400. Its totient is φ = 57988224.

The previous prime is 144442247. The next prime is 144442273. The reversal of 144442256 is 652244441.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218855 + ... + 219513.

It is an arithmetic number, because the mean of its divisors is an integer number (4255680).

Almost surely, 2144442256 is an apocalyptic number.

144442256 is a gapful number since it is divisible by the number (16) 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 144442256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170227200).

144442256 is an abundant number, since it is smaller than the sum of its proper divisors (196012144).

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

144442256 is a wasteful number, since it uses less digits than its factorization.

144442256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 790 counting only the distinct ones).

The product of its digits is 30720, while the sum is 32.

The square root of 144442256 is about 12018.4132064096. The cubic root of 144442256 is about 524.6843223934.

Adding to 144442256 its reverse (652244441), we get a palindrome (796686697).

The spelling of 144442256 in words is "one hundred forty-four million, four hundred forty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 103 112 133 152 206 266 304 412 532 659 721 824 1064 1318 1442 1648 1957 2128 2636 2884 3914 4613 5272 5768 7828 9226 10544 11536 12521 13699 15656 18452 25042 27398 31312 36904 50084 54796 67877 73808 87647 100168 109592 135754 175294 200336 219184 271508 350588 475139 543016 701176 950278 1086032 1289663 1402352 1900556 2579326 3801112 5158652 7602224 9027641 10317304 18055282 20634608 36110564 72221128 144442256