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144404222010 = 235311153134669
BaseRepresentation
bin1000011001111100101…
…0011001000000111010
3111210201210000112112220
42012133022121000322
54331214440101020
6150201031344510
713301320430466
oct2063712310072
9453653015486
10144404222010
1156272467344
1223ba0822136
1310804172919
146dbc5254a6
153b526e1240
hex219f29903a

144404222010 has 64 divisors (see below), whose sum is σ = 358062750720. Its totient is φ = 37233008640.

The previous prime is 144404221993. The next prime is 144404222063. The reversal of 144404222010 is 10222404441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1004956 + ... + 1139624.

It is an arithmetic number, because the mean of its divisors is an integer number (5594730480).

Almost surely, 2144404222010 is an apocalyptic number.

144404222010 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 144404222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179031375360).

144404222010 is an abundant number, since it is smaller than the sum of its proper divisors (213658528710).

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

144404222010 is a wasteful number, since it uses less digits than its factorization.

144404222010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135863.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 144404222010 its reverse (10222404441), we get a palindrome (154626626451).

The spelling of 144404222010 in words is "one hundred forty-four billion, four hundred four million, two hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 1153 2306 3459 5765 6918 11530 17295 34590 35743 71486 107229 134669 178715 214458 269338 357430 404007 536145 673345 808014 1072290 1346690 2020035 4040070 4174739 8349478 12524217 20873695 25048434 41747390 62621085 125242170 155273357 310546714 465820071 776366785 931640142 1552733570 2329100355 4658200710 4813474067 9626948134 14440422201 24067370335 28880844402 48134740670 72202111005 144404222010