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144211432244304 = 24368316843261167
BaseRepresentation
bin100000110010100011010111…
…001100010000010001010000
3200220121110220200000002222110
4200302203113030100101100
5122400230003123304204
61230413452315505320
742242634504520425
oct4062432714202120
9626543820002873
10144211432244304
1141a4a7a7a103a7
1214211184a58240
1362611061738a9
142787c28b77d4c
1511a140c3dc889
hex8328d7310450

144211432244304 has 80 divisors (see below), whose sum is σ = 373115235382272. Its totient is φ = 47997062408064.

The previous prime is 144211432244221. The next prime is 144211432244311. The reversal of 144211432244304 is 403442234112441.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 552050329 + ... + 552311495.

Almost surely, 2144211432244304 is an apocalyptic number.

It is an amenable number.

144211432244304 is an abundant number, since it is smaller than the sum of its proper divisors (228903803137968).

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

144211432244304 is a wasteful number, since it uses less digits than its factorization.

144211432244304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278704 (or 278698 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 39.

Adding to 144211432244304 its reverse (403442234112441), we get a palindrome (547653666356745).

The spelling of 144211432244304 in words is "one hundred forty-four trillion, two hundred eleven billion, four hundred thirty-two million, two hundred forty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 683 1366 2049 2732 4098 5464 8196 10928 16392 16843 32784 33686 50529 67372 101058 134744 202116 261167 269488 404232 522334 783501 808464 1044668 1567002 2089336 3134004 4178672 6268008 11503769 12536016 23007538 34511307 46015076 69022614 92030152 138045228 178377061 184060304 276090456 356754122 535131183 552180912 713508244 1070262366 1427016488 2140524732 2854032976 4281049464 4398835781 8562098928 8797671562 13196507343 17595343124 26393014686 35190686248 52786029372 70381372496 105572058744 211144117488 3004404838423 6008809676846 9013214515269 12017619353692 18026429030538 24035238707384 36052858061076 48070477414768 72105716122152 144211432244304