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42333423100344 = 23331720491139141
BaseRepresentation
bin10011010000000100001001…
…01001010110000110111000
312112220000222001011022022000
421220002010221112012320
521022042322303202334
6230011412303301000
711626326455121405
oct1150020451260670
9175800861138260
1042333423100344
111254155a78a132
1248b86018aa760
131a81042275c8c
14a64d3cdb72ac
154d62c979e299
hex268084a561b8

42333423100344 has 64 divisors (see below), whose sum is σ = 117593628660000. Its totient is φ = 14111046627840.

The previous prime is 42333423100343. The next prime is 42333423100349. The reversal of 42333423100344 is 44300132433324.

42333423100344 is a `hidden beast` number, since 4 + 2 + 3 + 334 + 2 + 310 + 0 + 3 + 4 + 4 = 666.

It is a super-2 number, since 2×423334231003442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42333423100299 and 42333423100308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42333423100343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36593014 + ... + 37732154.

Almost surely, 242333423100344 is an apocalyptic number.

It is an amenable number.

42333423100344 is an abundant number, since it is smaller than the sum of its proper divisors (75260205559656).

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

42333423100344 is a wasteful number, since it uses less digits than its factorization.

42333423100344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311205 (or 1311195 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 42333423100344 its reverse (44300132433324), we get a palindrome (86633555533668).

The spelling of 42333423100344 in words is "forty-two trillion, three hundred thirty-three billion, four hundred twenty-three million, one hundred thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 172049 344098 516147 688196 1032294 1139141 1376392 1548441 2064588 2278282 3096882 3417423 4129176 4556564 4645323 6193764 6834846 9113128 9290646 10252269 12387528 13669692 18581292 20504538 27339384 30756807 37162584 41009076 61513614 82018152 123027228 246054456 195988069909 391976139818 587964209727 783952279636 1175928419454 1567904559272 1763892629181 2351856838908 3527785258362 4703713677816 5291677887543 7055570516724 10583355775086 14111141033448 21166711550172 42333423100344