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144311224231422 = 232371009338963367
BaseRepresentation
bin100000110100000000010011…
…010000011110010111111110
3200220222000111100020022012100
4200310000103100132113332
5122403343341400401142
61230531354452245530
742253066444436403
oct4064002320362776
9626860440208170
10144311224231422
1141a89056990326
12142285950108a6
13626a64a851a91
14278c9b432c2aa
1511a3ced238b4c
hex83401341e5fe

144311224231422 has 96 divisors (see below), whose sum is σ = 321543160286400. Its totient is φ = 46742719693824.

The previous prime is 144311224231387. The next prime is 144311224231439. The reversal of 144311224231422 is 224132422113441.

144311224231422 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 1 + 1 + 224 + 2 + 3 + 1 + 422 = 666.

It is a super-2 number, since 2×1443112242314222 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2277355983 + ... + 2277419349.

It is an arithmetic number, because the mean of its divisors is an integer number (3349407919650).

Almost surely, 2144311224231422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144311224231422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160771580143200).

144311224231422 is an abundant number, since it is smaller than the sum of its proper divisors (177231936054978).

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

144311224231422 is a wasteful number, since it uses less digits than its factorization.

144311224231422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67810 (or 67807 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 144311224231422 its reverse (224132422113441), we get a palindrome (368443646344863).

The spelling of 144311224231422 in words is "one hundred forty-four trillion, three hundred eleven billion, two hundred twenty-four million, two hundred thirty-one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1009 2018 3027 3389 6054 6778 9081 10167 18162 20334 30501 37333 61002 63367 74666 111999 125393 126734 190101 223998 250786 335997 376179 380202 570303 671994 752358 1128537 1140606 2257074 2344579 3419501 4689158 6839002 7033737 10258503 14067474 20517006 21101211 30775509 42202422 61551018 63937303 126521537 127874606 191811909 214750763 253043074 379564611 383623818 429501526 575435727 644252289 759129222 1138693833 1150871454 1288504578 1932756867 2277387666 2365680211 3865513734 4731360422 7097040633 7945778231 14194081266 15891556462 21291121899 23837334693 42582243798 47674669386 71512004079 143024008158 216683519867 433367039734 650050559601 1300101119202 1950151678803 3900303357606 8017290235079 16034580470158 24051870705237 48103741410474 72155612115711 144311224231422