Search a number
-
+
133002341142 = 231121719567179
BaseRepresentation
bin111101111011110001…
…1101010101100010110
3110201022011100222101220
41323313203222230112
54134342044404032
6141033405431210
712415631150346
oct1736743525426
9421264328356
10133002341142
1151451399500
122193a26b506
13c707bc8858
14661a120d26
1536d671b12c
hex1ef78eab16

133002341142 has 96 divisors (see below), whose sum is σ = 325878940800. Its totient is φ = 35936398080.

The previous prime is 133002341117. The next prime is 133002341179. The reversal of 133002341142 is 241143200331.

It is a happy number.

133002341142 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49092 + ... + 518087.

It is an arithmetic number, because the mean of its divisors is an integer number (3394572300).

Almost surely, 2133002341142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133002341142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162939470400).

133002341142 is an abundant number, since it is smaller than the sum of its proper divisors (192876599658).

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

133002341142 is a wasteful number, since it uses less digits than its factorization.

133002341142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567242 (or 567231 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 133002341142 its reverse (241143200331), we get a palindrome (374145541473).

The spelling of 133002341142 in words is "one hundred thirty-three billion, two million, three hundred forty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 17 19 22 33 34 38 51 57 66 102 114 121 187 209 242 323 363 374 418 561 627 646 726 969 1122 1254 1938 2057 2299 3553 4114 4598 6171 6897 7106 10659 12342 13794 21318 39083 78166 117249 234498 567179 1134358 1701537 3403074 6238969 9642043 10776401 12477938 18716907 19284086 21552802 28926129 32329203 37433814 57852258 64658406 68628659 106062473 118540411 137257318 183198817 205885977 212124946 237080822 318187419 355621233 366397634 411771954 549596451 636374838 711242466 1099192902 1166687203 1303944521 2015186987 2333374406 2607889042 3500061609 3911833563 4030373974 6045560961 7000123218 7823667126 12091121922 22167056857 44334113714 66501170571 133002341142