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14042434200 = 2335223404057
BaseRepresentation
bin11010001001111111…
…01000101010011000
31100020122022120100120
431010333220222120
5212224330343300
610241230033240
71004661502254
oct150477505230
940218276316
1014042434200
115a56651723
12287a948820
13142a348682
14972da1264
15572c163a0
hex344fe8a98

14042434200 has 48 divisors (see below), whose sum is σ = 43531547880. Its totient is φ = 3744648960.

The previous prime is 14042434183. The next prime is 14042434207. The reversal of 14042434200 is 243424041.

It is a happy number.

14042434200 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 2×140424342002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14042434207) 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 11 ways as a sum of consecutive naturals, for example, 11701429 + ... + 11702628.

Almost surely, 214042434200 is an apocalyptic number.

14042434200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14042434200 is an abundant number, since it is smaller than the sum of its proper divisors (29489113680).

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

14042434200 is a wasteful number, since it uses less digits than its factorization.

14042434200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23404076 (or 23404067 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 14042434200 its reverse (243424041), we get a palindrome (14285858241).

The spelling of 14042434200 in words is "fourteen billion, forty-two million, four hundred thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 23404057 46808114 70212171 93616228 117020285 140424342 187232456 234040570 280848684 351060855 468081140 561697368 585101425 702121710 936162280 1170202850 1404243420 1755304275 2340405700 2808486840 3510608550 4680811400 7021217100 14042434200