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14430420200100 = 22352160672993801
BaseRepresentation
bin1101000111111101100000…
…0100011110101010100100
31220002112102210110121022010
43101333120010132222210
53342412000032400400
650405124333434220
73016364156603442
oct321773004365244
956075383417263
1014430420200100
1146639a8003623
12175086663b970
13808a23a1c198
1437c6167bbb92
151a057d274450
hexd1fd811eaa4

14430420200100 has 72 divisors (see below), whose sum is σ = 41754628345248. Its totient is φ = 3847871264000.

The previous prime is 14430420200093. The next prime is 14430420200111. The reversal of 14430420200100 is 100202403441.

14430420200100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3323200 + ... + 6317000.

It is an arithmetic number, because the mean of its divisors is an integer number (579925393684).

Almost surely, 214430420200100 is an apocalyptic number.

14430420200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14430420200100 is an abundant number, since it is smaller than the sum of its proper divisors (27324208145148).

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

14430420200100 is a wasteful number, since it uses less digits than its factorization.

14430420200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3009885 (or 3009878 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 14430420200100 its reverse (100202403441), we get a palindrome (14530622603541).

The spelling of 14430420200100 in words is "fourteen trillion, four hundred thirty billion, four hundred twenty million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 16067 32134 48201 64268 80335 96402 160670 192804 241005 321340 401675 482010 803350 964020 1205025 1606700 2410050 2993801 4820100 5987602 8981403 11975204 14969005 17962806 29938010 35925612 44907015 59876020 74845025 89814030 149690050 179628060 224535075 299380100 449070150 898140300 48101400667 96202801334 144304202001 192405602668 240507003335 288608404002 481014006670 577216808004 721521010005 962028013340 1202535016675 1443042020010 2405070033350 2886084040020 3607605050025 4810140066700 7215210100050 14430420200100