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22014022123044 = 223271091125171233
BaseRepresentation
bin1010000000101100010011…
…11101111111111000100100
32212221112001001102000022100
411000112021331333320210
510341134204130414134
6114453034021532100
74431313663426110
oct500261175777044
985845031360270
1022014022123044
117018104647466
12257656b574030
13c38bb4901823
145616ad102740
1528297ddb6999
hex140589f7fe24

22014022123044 has 144 divisors (see below), whose sum is σ = 64186119437440. Its totient is φ = 6231375360000.

The previous prime is 22014022123013. The next prime is 22014022123103. The reversal of 22014022123044 is 44032122041022.

It is a happy number.

22014022123044 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 402 + 21 + 230 + 4 + 4 = 666.

It is a super-2 number, since 2×220140221230442 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22014022122999 and 22014022123017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309006852 + ... + 309078084.

Almost surely, 222014022123044 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 22014022123044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32093059718720).

22014022123044 is an abundant number, since it is smaller than the sum of its proper divisors (42172097314396).

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

22014022123044 is a wasteful number, since it uses less digits than its factorization.

22014022123044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82610 (or 82605 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 22014022123044 its reverse (44032122041022), we get a palindrome (66046144164066).

The spelling of 22014022123044 in words is "twenty-two trillion, fourteen billion, twenty-two million, one hundred twenty-three thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 109 126 218 252 327 436 654 763 981 1308 1526 1962 2289 3052 3924 4578 6867 9156 11251 13734 22502 27468 33753 45004 67506 71233 78757 101259 135012 142466 157514 202518 213699 236271 284932 315028 405036 427398 472542 498631 641097 708813 854796 945084 997262 1226359 1282194 1417626 1495893 1994524 2452718 2564388 2835252 2991786 3679077 4487679 4905436 5983572 7358154 7764397 8584513 8975358 11037231 14716308 15528794 17169026 17950716 22074462 23293191 25753539 31057588 34338052 44148924 46586382 51507078 54350779 69879573 77260617 93172764 103014156 108701558 139759146 154521234 163052337 217403116 279518292 309042468 326104674 489157011 652209348 801442483 978314022 1602884966 1956628044 2404327449 3205769932 4808654898 5610097381 7212982347 9617309796 11220194762 14425964694 16830292143 22440389524 28851929388 33660584286 50490876429 67321168572 87357230647 100981752858 174714461294 201963505716 262071691941 349428922588 524143383882 611500614529 786215075823 1048286767764 1223001229058 1572430151646 1834501843587 2446002458116 3144860303292 3669003687174 5503505530761 7338007374348 11007011061522 22014022123044