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442422421441 = 73111361672207
BaseRepresentation
bin1100111000000100110…
…11100110011111000001
31120021222011211122222221
412130002123212133001
524222040114441231
6535125051531041
743651432351000
oct6340233463701
91507864748887
10442422421441
111606a2a17530
12718b2459a81
1332949529b70
14175b0388c37
15b795dd4d11
hex67026e67c1

442422421441 has 128 divisors (see below), whose sum is σ = 625559961600. Its totient is φ = 308197612800.

The previous prime is 442422421439. The next prime is 442422421453. The reversal of 442422421441 is 144124224244.

It is not a de Polignac number, because 442422421441 - 21 = 442422421439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 442422421397 and 442422421406.

It is not an unprimeable number, because it can be changed into a prime (442422421471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 200462160 + ... + 200464366.

It is an arithmetic number, because the mean of its divisors is an integer number (4887187200).

Almost surely, 2442422421441 is an apocalyptic number.

It is an amenable number.

442422421441 is a deficient number, since it is larger than the sum of its proper divisors (183137540159).

442422421441 is a wasteful number, since it uses less digits than its factorization.

442422421441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2366 counting only the distinct ones).

The product of its digits is 65536, while the sum is 34.

Adding to 442422421441 its reverse (144124224244), we get a palindrome (586546645685).

The spelling of 442422421441 in words is "four hundred forty-two billion, four hundred twenty-two million, four hundred twenty-one thousand, four hundred forty-one".

Divisors: 1 7 11 13 49 61 67 77 91 143 343 427 469 539 637 671 737 793 871 1001 2207 2989 3283 3773 4087 4459 4697 5159 5551 6097 7007 8723 9581 15449 20923 22981 24277 28609 28691 32879 36113 38857 42679 44957 49049 53131 61061 67067 108143 134627 147869 169939 200263 200837 230153 252791 271999 298753 314699 315601 371917 427427 469469 584441 757001 942389 1035083 1189573 1401841 1405859 1480897 1626559 1750151 1922297 2202893 2209207 2603419 2991989 3286283 4091087 6596723 7245581 8327011 9020009 9841013 10366279 11385913 12251057 13456079 15420251 15464449 18223933 19251661 21145267 28637609 46177061 50719067 63140063 72563953 79701391 85757399 94192553 99220099 108251143 117260117 134761627 148016869 200463263 441980441 507947671 557909737 600301793 659347871 694540693 820820819 943331389 1036118083 1289861287 3093863087 4861784851 5745745733 6603319723 7252826581 9029029009 34032493957 40220220131 63203203063 442422421441