Search a number
-
+
42101442535305 = 35192315740909543
BaseRepresentation
bin10011001001010100000011…
…00001101101111110001001
312112001212011220210120221210
421210222001201231332021
521004242223242112210
6225313045150523333
711603504664630426
oct1144520141557611
9175055156716853
1042101442535305
111246213780209a
12487b65bb06549
131a651c246084a
14a57a13810d4d
154d024d8cbe20
hex264a8186df89

42101442535305 has 64 divisors (see below), whose sum is σ = 74461915607040. Its totient is φ = 20217822932736.

The previous prime is 42101442535291. The next prime is 42101442535349. The reversal of 42101442535305 is 50353524410124.

It is not a de Polignac number, because 42101442535305 - 24 = 42101442535289 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19425637 + ... + 21483906.

It is an arithmetic number, because the mean of its divisors is an integer number (1163467431360).

Almost surely, 242101442535305 is an apocalyptic number.

It is an amenable number.

42101442535305 is a deficient number, since it is larger than the sum of its proper divisors (32360473071735).

42101442535305 is a wasteful number, since it uses less digits than its factorization.

42101442535305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40909750.

The product of its (nonzero) digits is 288000, while the sum is 39.

Adding to 42101442535305 its reverse (50353524410124), we get a palindrome (92454966945429).

The spelling of 42101442535305 in words is "forty-two trillion, one hundred one billion, four hundred forty-two million, five hundred thirty-five thousand, three hundred five".

Divisors: 1 3 5 15 19 23 57 69 95 115 157 285 345 437 471 785 1311 2185 2355 2983 3611 6555 8949 10833 14915 18055 44745 54165 68609 205827 343045 1029135 40909543 122728629 204547715 613643145 777281317 940919489 2331843951 2822758467 3886406585 4704597445 6422798251 11659219755 14113792335 17877470291 19268394753 32113991255 53632410873 89387351455 96341973765 122033166769 147724359773 268162054365 366099500307 443173079319 610165833845 738621798865 1830497501535 2215865396595 2806762835687 8420288507061 14033814178435 42101442535305