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22342453124341 = 727117949971899
BaseRepresentation
bin1010001010010000000011…
…11110110101110011110101
32221002220202222021112211111
411011020001332311303311
510412024320444434331
6115303551542035021
74464121550036200
oct505100176656365
987086688245744
1022342453124341
11713442135a849
12260a14a418a71
13c60b65a2540c
14573548148937
1528b2a2575db1
hex145201fb5cf5

22342453124341 has 48 divisors (see below), whose sum is σ = 26556984000000. Its totient is φ = 18737579357280.

The previous prime is 22342453124297. The next prime is 22342453124357. The reversal of 22342453124341 is 14342135424322.

It is not a de Polignac number, because 22342453124341 - 27 = 22342453124213 is a prime.

It is a super-2 number, since 2×223424531243412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22342453124294 and 22342453124303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22342453124941) by changing a digit.

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, 310711810 + ... + 310783708.

It is an arithmetic number, because the mean of its divisors is an integer number (553270500000).

Almost surely, 222342453124341 is an apocalyptic number.

It is an amenable number.

22342453124341 is a deficient number, since it is larger than the sum of its proper divisors (4214530875659).

22342453124341 is a wasteful number, since it uses less digits than its factorization.

22342453124341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72662 (or 72655 counting only the distinct ones).

The product of its digits is 552960, while the sum is 40.

Adding to 22342453124341 its reverse (14342135424322), we get a palindrome (36684588548663).

The spelling of 22342453124341 in words is "twenty-two trillion, three hundred forty-two billion, four hundred fifty-three million, one hundred twenty-four thousand, three hundred forty-one".

Divisors: 1 7 49 71 179 497 499 1253 3479 3493 8771 12709 24451 35429 71899 88963 89321 248003 503293 622741 625247 1736021 3523051 4376729 5104829 6341791 12869921 35733803 35877601 44392537 90089447 250136621 251143207 310747759 630626129 913764391 1758002449 2547309671 6396350737 6422090579 17831167697 44774455159 44954634053 124818173879 314682438371 455968431109 3191779017763 22342453124341