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22041341440041 = 37111712914347613
BaseRepresentation
bin1010000001011111001100…
…10100111011000000101001
32220001010112222112002220210
411000233212110323000221
510342111131402040131
6114513352533411333
74433301662664450
oct500574624730051
986033488462823
1022041341440041
1170287536986a0
12257b914799b49
13c3b6497b4761
14562b41505b97
1528352c4c4146
hex140be653b029

22041341440041 has 64 divisors (see below), whose sum is σ = 38825514694656. Its totient is φ = 10768165401600.

The previous prime is 22041341440031. The next prime is 22041341440061. The reversal of 22041341440041 is 14004414314022.

It is a happy number.

It is not a de Polignac number, because 22041341440041 - 25 = 22041341440009 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22041341439990 and 22041341440008.

It is not an unprimeable number, because it can be changed into a prime (22041341440031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2895951 + ... + 7243563.

It is an arithmetic number, because the mean of its divisors is an integer number (606648667104).

Almost surely, 222041341440041 is an apocalyptic number.

22041341440041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22041341440041 is a deficient number, since it is larger than the sum of its proper divisors (16784173254615).

22041341440041 is a wasteful number, since it uses less digits than its factorization.

22041341440041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4348942.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 22041341440041 its reverse (14004414314022), we get a palindrome (36045755754063).

The spelling of 22041341440041 in words is "twenty-two trillion, forty-one billion, three hundred forty-one million, four hundred forty thousand, forty-one".

Divisors: 1 3 7 11 17 21 33 51 77 119 187 231 357 561 1291 1309 3873 3927 9037 14201 21947 27111 42603 65841 99407 153629 241417 298221 460887 724251 1689919 4347613 5069757 13042839 30433291 47823743 73909421 91299873 143471229 221728263 334766201 517365947 813003631 1004298603 1552097841 2439010893 5612768383 5691025417 16838305149 17073076251 39289378681 61740452213 95417062511 117868136043 185221356639 286251187533 432183165491 667919437577 1049587687621 1296549496473 2003758312731 3148763062863 7347113813347 22041341440041