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22013144451441 = 32111338201447743
BaseRepresentation
bin1010000000101010101011…
…01001111100100101110001
32212221102202212220200012200
411000111111221330211301
510341130404434421231
6114452410550213413
74431253145354553
oct500252551744561
985842685820180
1022013144451441
1170177a4185830
122576365654269
13c38aa4b25310
145616287194d3
1528292bceabe6
hex140555a7c971

22013144451441 has 48 divisors (see below), whose sum is σ = 37356700372992. Its totient is φ = 12314695968000.

The previous prime is 22013144451373. The next prime is 22013144451497. The reversal of 22013144451441 is 14415444131022.

22013144451441 is a `hidden beast` number, since 2 + 2 + 0 + 131 + 4 + 4 + 4 + 514 + 4 + 1 = 666.

It is not a de Polignac number, because 22013144451441 - 29 = 22013144450929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22013144451396 and 22013144451405.

It is not an unprimeable number, because it can be changed into a prime (22013144491441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48940816 + ... + 49388558.

It is an arithmetic number, because the mean of its divisors is an integer number (778264591104).

Almost surely, 222013144451441 is an apocalyptic number.

It is an amenable number.

22013144451441 is a deficient number, since it is larger than the sum of its proper divisors (15343555921551).

22013144451441 is a wasteful number, since it uses less digits than its factorization.

22013144451441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485974 (or 485971 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 22013144451441 its reverse (14415444131022), we get a palindrome (36428588582463).

The spelling of 22013144451441 in words is "twenty-two trillion, thirteen billion, one hundred forty-four million, four hundred fifty-one thousand, four hundred forty-one".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 38201 114603 343809 420211 447743 496613 1260633 1343229 1489839 3781899 4029687 4469517 4925173 5462743 5820659 14775519 16388229 17461977 44326557 49164687 52385931 64027249 192081747 576245241 17104230343 51312691029 153938073087 188146533773 222354994459 564439601319 667064983377 1693318803957 2001194950131 2445904939049 7337714817147 22013144451441