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144140228568 = 23337290932771
BaseRepresentation
bin1000011000111101101…
…1010101011111011000
3111210001101021021122000
42012033123111133120
54330144344303233
6150114521201000
713261633504350
oct2061733253730
9453041237560
10144140228568
1156147446146
1223b28330160
1310791570a9b
146d95445b60
153b39445d13
hex218f6d57d8

144140228568 has 128 divisors (see below), whose sum is σ = 457759296000. Its totient is φ = 41167509120.

The previous prime is 144140228543. The next prime is 144140228569. The reversal of 144140228568 is 865822041441.

144140228568 is a `hidden beast` number, since 1 + 4 + 41 + 40 + 2 + 2 + 8 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144140228569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4382023 + ... + 4414793.

It is an arithmetic number, because the mean of its divisors is an integer number (3576244500).

Almost surely, 2144140228568 is an apocalyptic number.

144140228568 is a gapful number since it is divisible by the number (18) 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 144140228568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228879648000).

144140228568 is an abundant number, since it is smaller than the sum of its proper divisors (313619067432).

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

144140228568 is a wasteful number, since it uses less digits than its factorization.

144140228568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35702 (or 35692 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 144140228568 in words is "one hundred forty-four billion, one hundred forty million, two hundred twenty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 2909 5818 8727 11636 17454 20363 23272 26181 32771 34908 40726 52362 61089 65542 69816 78543 81452 98313 104724 122178 131084 157086 162904 183267 196626 209448 229397 244356 262168 294939 314172 366534 393252 458794 488712 549801 589878 628344 688191 733068 786504 884817 917588 1099602 1179756 1376382 1466136 1769634 1835176 2064573 2199204 2359512 2752764 3539268 4129146 4398408 5505528 6193719 7078536 8258292 12387438 16516584 24774876 49549752 95330839 190661678 285992517 381323356 571985034 667315873 762646712 857977551 1143970068 1334631746 1715955102 2001947619 2287940136 2573932653 2669263492 3431910204 4003895238 5147865306 5338526984 6005842857 6863820408 8007790476 10295730612 12011685714 16015580952 18017528571 20591461224 24023371428 36035057142 48046742856 72070114284 144140228568