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144636212344 = 23132831319839
BaseRepresentation
bin1000011010110011111…
…1010111010001111000
3111211022221112212110111
42012230333113101320
54332203332243334
6150240035554104
713310135343241
oct2065477272170
9454287485414
10144636212344
115638140a098
122404645b934
131084024ab00
147001273cc8
153b67c69064
hex21acfd7478

144636212344 has 96 divisors (see below), whose sum is σ = 299495750400. Its totient is φ = 65440801920.

The previous prime is 144636212323. The next prime is 144636212521. The reversal of 144636212344 is 443212636441.

It is a junction number, because it is equal to n+sod(n) for n = 144636212297 and 144636212306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14695377 + ... + 14705215.

It is an arithmetic number, because the mean of its divisors is an integer number (3119747400).

Almost surely, 2144636212344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144636212344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149747875200).

144636212344 is an abundant number, since it is smaller than the sum of its proper divisors (154859538056).

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

144636212344 is a wasteful number, since it uses less digits than its factorization.

144636212344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10085 (or 10068 counting only the distinct ones).

The product of its digits is 331776, while the sum is 40.

Adding to 144636212344 its reverse (443212636441), we get a palindrome (587848848785).

The spelling of 144636212344 in words is "one hundred forty-four billion, six hundred thirty-six million, two hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 52 83 104 131 166 169 262 332 338 524 664 676 1048 1079 1352 1703 2158 3406 4316 6812 8632 9839 10873 13624 14027 19678 21746 22139 28054 39356 43492 44278 56108 78712 86984 88556 112216 127907 141349 177112 255814 282698 511628 565396 816637 1023256 1130792 1288909 1633274 1662791 1837537 2577818 3266548 3325582 3675074 5155636 6533096 6651164 7350148 10311272 10616281 13302328 14700296 16755817 21232562 33511634 42465124 67023268 84930248 106979447 134046536 138011653 213958894 217825621 276023306 427917788 435651242 552046612 855835576 871302484 1104093224 1390732811 1742604968 2781465622 5562931244 11125862488 18079526543 36159053086 72318106172 144636212344