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2002141435455 = 3257217119344771
BaseRepresentation
bin11101001000101000111…
…011011101011000111111
321002101212200100001011100
4131020220323131120333
5230300341201413310
64131434315224143
7264435634256100
oct35105073353077
97071780301140
102002141435455
1170211570aa57
12284041148053
13116a550cc245
146cc930443a7
1537130ecbec0
hex1d228edd63f

2002141435455 has 144 divisors (see below), whose sum is σ = 4278118257504. Its totient is φ = 860684267520.

The previous prime is 2002141435381. The next prime is 2002141435517. The reversal of 2002141435455 is 5545341412002.

2002141435455 is a `hidden beast` number, since 2 + 0 + 0 + 214 + 1 + 435 + 4 + 5 + 5 = 666.

It is not a de Polignac number, because 2002141435455 - 211 = 2002141433407 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44697220 + ... + 44741990.

It is an arithmetic number, because the mean of its divisors is an integer number (29709154566).

Almost surely, 22002141435455 is an apocalyptic number.

2002141435455 is an abundant number, since it is smaller than the sum of its proper divisors (2275976822049).

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

2002141435455 is a wasteful number, since it uses less digits than its factorization.

2002141435455 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46006 (or 45996 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 2002141435455 its reverse (5545341412002), we get a palindrome (7547482847457).

The spelling of 2002141435455 in words is "two trillion, two billion, one hundred forty-one million, four hundred thirty-five thousand, four hundred fifty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 49 51 63 85 105 119 147 153 245 255 315 357 441 595 735 765 833 1071 1193 1785 2205 2499 3579 4165 5355 5965 7497 8351 10737 12495 17895 20281 25053 37485 41755 44771 53685 58457 60843 75159 101405 125265 134313 141967 175371 182529 223855 292285 304215 313397 375795 402939 425901 526113 671565 709835 761107 876855 912645 940191 993769 1277703 1566985 2014695 2129505 2193779 2283321 2630565 2820573 2981307 3805535 4700955 4968845 5327749 6388515 6581337 6849963 8943921 10968895 11416605 14102865 14906535 15983247 19744011 26638745 32906685 34249815 37294243 44719605 47949741 53411803 79916235 98720055 111882729 160235409 186471215 239748705 267059015 335648187 373882621 480706227 559413645 801177045 908000651 1121647863 1678240935 1869413105 2403531135 2617178347 2724001953 3364943589 4540003255 5608239315 6356004557 7851535041 8172005859 13085891735 13620009765 16824717945 19068013671 23554605123 31780022785 39257675205 40860029295 44492031899 57204041013 95340068355 117773025615 133476095697 222460159495 286020205065 400428287091 667380478485 2002141435455