Search a number
-
+
42133110133114 = 27111333889621013
BaseRepresentation
bin10011001010001111000010…
…00100000001000101111010
312112011212220212222020110201
421211013201010001011322
521010302102143224424
6225335403353232414
711606005514026450
oct1145074104010572
9175155825866421
1042133110133114
1112474608298030
12488581940270a
131a6819b1689c0
14a593795089d0
154d0ea3b08d44
hex2651e110117a

42133110133114 has 64 divisors (see below), whose sum is σ = 84858135102720. Its totient is φ = 15152295352320.

The previous prime is 42133110133069. The next prime is 42133110133201. The reversal of 42133110133114 is 41133101133124.

It is a super-2 number, since 2×421331101331142 (a number of 28 digits) contains 22 as substring.

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, 67535272 + ... + 68156284.

It is an arithmetic number, because the mean of its divisors is an integer number (1325908360980).

Almost surely, 242133110133114 is an apocalyptic number.

42133110133114 is an abundant number, since it is smaller than the sum of its proper divisors (42725024969606).

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

42133110133114 is a wasteful number, since it uses less digits than its factorization.

42133110133114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654935.

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 42133110133114 its reverse (41133101133124), we get a palindrome (83266211266238).

It can be divided in two parts, 42133110 and 133114, that added together give a palindrome (42266224).

The spelling of 42133110133114 in words is "forty-two trillion, one hundred thirty-three billion, one hundred ten million, one hundred thirty-three thousand, one hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 33889 67778 237223 372779 440557 474446 621013 745558 881114 1242026 2609453 3083899 4347091 4846127 5218906 6167798 6831143 8073169 8694182 9692254 13662286 16146338 33922889 47818001 56512183 67845778 88804859 95636002 113024366 177609718 621634013 1243268026 21045509557 42091019114 147318566899 231500605127 273591624241 294637133798 463001210254 547183248482 1620504235889 1915141369687 3009507866651 3241008471778 3830282739374 6019015733302 21066555066557 42133110133114