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42225411444 = 223171941265709
BaseRepresentation
bin100111010100110101…
…001010010101110100
311000222202120011002120
4213110311022111310
51142434201131234
631221553035540
73023246034546
oct472465122564
9130882504076
1042225411444
11169a9164657
128225255bb0
133c9c140478
142087d81696
151172073049
hex9d4d4a574

42225411444 has 96 divisors (see below), whose sum is σ = 112490985600. Its totient is φ = 12243824640.

The previous prime is 42225411421. The next prime is 42225411467. The reversal of 42225411444 is 44411452224.

42225411444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42225411421) and next prime (42225411467).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26062 + ... + 291770.

It is an arithmetic number, because the mean of its divisors is an integer number (1171781100).

Almost surely, 242225411444 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 42225411444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56245492800).

42225411444 is an abundant number, since it is smaller than the sum of its proper divisors (70265574156).

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

42225411444 is a wasteful number, since it uses less digits than its factorization.

42225411444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265793 (or 265791 counting only the distinct ones).

The product of its digits is 40960, while the sum is 33.

Adding to 42225411444 its reverse (44411452224), we get a palindrome (86636863668).

The spelling of 42225411444 in words is "forty-two billion, two hundred twenty-five million, four hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 17 19 34 38 41 51 57 68 76 82 102 114 123 164 204 228 246 323 492 646 697 779 969 1292 1394 1558 1938 2091 2337 2788 3116 3876 4182 4674 8364 9348 13243 26486 39729 52972 79458 158916 265709 531418 797127 1062836 1594254 3188508 4517053 5048471 9034106 10096942 10894069 13551159 15145413 18068212 20193884 21788138 27102318 30290826 32682207 43576276 54204636 60581652 65364414 85824007 130728828 171648014 185199173 206987311 257472021 343296028 370398346 413974622 514944042 555597519 620961933 740796692 827949244 1029888084 1111195038 1241923866 2222390076 2483847732 3518784287 7037568574 10556352861 14075137148 21112705722 42225411444