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133423200240 = 24351150539091
BaseRepresentation
bin111110001000010100…
…1000111011111110000
3110202101111021211112220
41330100221013133300
54141222314401430
6141143242121040
712432231326661
oct1742051073760
9422344254486
10133423200240
1151647a11140
1221a371b0180
13c7741615c5
146659d95368
15370d650110
hex1f10a477f0

133423200240 has 80 divisors (see below), whose sum is σ = 451213013376. Its totient is φ = 32345017600.

The previous prime is 133423200221. The next prime is 133423200241. The reversal of 133423200240 is 42002324331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 133423200240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133423200241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25266906 + ... + 25272185.

Almost surely, 2133423200240 is an apocalyptic number.

133423200240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133423200240 is an abundant number, since it is smaller than the sum of its proper divisors (317789813136).

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

133423200240 is a wasteful number, since it uses less digits than its factorization.

133423200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50539118 (or 50539112 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 133423200240 its reverse (42002324331), we get a palindrome (175425524571).

The spelling of 133423200240 in words is "one hundred thirty-three billion, four hundred twenty-three million, two hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 50539091 101078182 151617273 202156364 252695455 303234546 404312728 505390910 555930001 606469092 758086365 808625456 1010781820 1111860002 1212938184 1516172730 1667790003 2021563640 2223720004 2425876368 2779650005 3032345460 3335580006 4043127280 4447440008 5559300010 6064690920 6671160012 8338950015 8894880016 11118600020 12129381840 13342320024 16677900030 22237200040 26684640048 33355800060 44474400080 66711600120 133423200240