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240014040033042 = 2321112131913522391
BaseRepresentation
bin110110100100101010011111…
…100110001110011100010010
31011110211010012010100122110200
4312210222133212032130102
5222424342223222024132
62210244532224240030
7101361304441603302
oct6644523746163422
91143733163318420
10240014040033042
116a52642349a010
1222b043b4470016
13a3c02c45410b2
14433aa54a37602
151cb34b169ad7c
hexda4a9f98e712

240014040033042 has 96 divisors (see below), whose sum is σ = 568071486043776. Its totient is φ = 72633439929600.

The previous prime is 240014040033013. The next prime is 240014040033049. The reversal of 240014040033042 is 240330040410042.

It is a happy number.

240014040033042 is a `hidden beast` number, since 240 + 0 + 14 + 0 + 40 + 0 + 330 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 240014040032997 and 240014040033015.

It is not an unprimeable number, because it can be changed into a prime (240014040033049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 459191667 + ... + 459714057.

It is an arithmetic number, because the mean of its divisors is an integer number (5917411312956).

Almost surely, 2240014040033042 is an apocalyptic number.

240014040033042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

240014040033042 is an abundant number, since it is smaller than the sum of its proper divisors (328057446010734).

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

240014040033042 is a wasteful number, since it uses less digits than its factorization.

240014040033042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525536 (or 525533 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 240014040033042 its reverse (240330040410042), we get a palindrome (480344080443084).

The spelling of 240014040033042 in words is "two hundred forty trillion, fourteen billion, forty million, thirty-three thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1213 1913 2426 3639 3826 5739 7278 10917 11478 13343 17217 21043 21834 26686 34434 40029 42086 63129 80058 120087 126258 189387 240174 378774 522391 1044782 1567173 2320469 3134346 4640938 4701519 5746301 6961407 9403038 11492602 13922814 17238903 20884221 25525159 34477806 41768442 51050318 51716709 76575477 103433418 153150954 229726431 459452862 633660283 999333983 1267320566 1900980849 1998667966 2998001949 3801961698 5702942547 5996003898 6970263113 8994005847 10992673813 11405885094 13940526226 17988011694 20910789339 21985347626 32978021439 41821578678 62732368017 65956042878 98934064317 125464736034 197868128634 1212192121379 2424384242758 3636576364137 7273152728274 10909729092411 13334113335169 21819458184822 26668226670338 40002340005507 80004680011014 120007020016521 240014040033042