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14030442300 = 22352712015563
BaseRepresentation
bin11010001000100011…
…11000111100111100
31100012210202022120010
431010101320330330
5212213243123200
610240121023220
71004454535410
oct150421707474
940183668503
1014030442300
115a4a900a66
122876924b10
131427a0a284
1497155cd40
15571b48150
hex344478f3c

14030442300 has 144 divisors (see below), whose sum is σ = 46440972032. Its totient is φ = 3203712000.

The previous prime is 14030442287. The next prime is 14030442301. The reversal of 14030442300 is 324403041.

14030442300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×140304423002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14030442301) 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 47 ways as a sum of consecutive naturals, for example, 2519319 + ... + 2524881.

Almost surely, 214030442300 is an apocalyptic number.

14030442300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14030442300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23220486016).

14030442300 is an abundant number, since it is smaller than the sum of its proper divisors (32410529732).

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

14030442300 is a wasteful number, since it uses less digits than its factorization.

14030442300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6788 (or 6781 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 14030442300 its reverse (324403041), we get a palindrome (14354845341).

The spelling of 14030442300 in words is "fourteen billion, thirty million, four hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 1201 2100 2402 3603 4804 5563 6005 7206 8407 11126 12010 14412 16689 16814 18015 22252 24020 25221 27815 30025 33378 33628 36030 38941 42035 50442 55630 60050 66756 72060 77882 83445 84070 90075 100884 111260 116823 120100 126105 139075 155764 166890 168140 180150 194705 210175 233646 252210 278150 333780 360300 389410 417225 420350 467292 504420 556300 584115 630525 778820 834450 840700 973525 1168230 1261050 1668900 1947050 2336460 2522100 2920575 3894100 5841150 6681163 11682300 13362326 20043489 26724652 33405815 40086978 46768141 66811630 80173956 93536282 100217445 133623260 140304423 167029075 187072564 200434890 233840705 280608846 334058150 400869780 467681410 501087225 561217692 668116300 701522115 935362820 1002174450 1169203525 1403044230 2004348900 2338407050 2806088460 3507610575 4676814100 7015221150 14030442300