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14233001240200 = 2352711258379657
BaseRepresentation
bin1100111100011110000011…
…1110111010011010001000
31212101122212022212100012111
43033013200332322122020
53331143141304141300
650134314524152104
72666205016252621
oct317074076723210
955348768770174
1014233001240200
114598200168016
12171a54b398634
137c3221365092
14372c49404a48
1519a3766d79ba
hexcf1e0fba688

14233001240200 has 96 divisors (see below), whose sum is σ = 33560896786560. Its totient is φ = 5612498035200.

The previous prime is 14233001240197. The next prime is 14233001240221. The reversal of 14233001240200 is 204210033241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178638772 + ... + 178718428.

It is an arithmetic number, because the mean of its divisors is an integer number (349592674860).

Almost surely, 214233001240200 is an apocalyptic number.

14233001240200 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 14233001240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16780448393280).

14233001240200 is an abundant number, since it is smaller than the sum of its proper divisors (19327895546360).

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

14233001240200 is a wasteful number, since it uses less digits than its factorization.

14233001240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92327 (or 92318 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 14233001240200 its reverse (204210033241), we get a palindrome (14437211273441).

The spelling of 14233001240200 in words is "fourteen trillion, two hundred thirty-three billion, one million, two hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 284 355 568 710 1420 1775 2840 3550 7100 12583 14200 25166 50332 62915 79657 100664 125830 159314 251660 314575 318628 398285 503320 629150 637256 796570 893393 1258300 1593140 1786786 1991425 2516600 3186280 3573572 3982850 4466965 5655647 7147144 7965700 8933930 11311294 15931400 17867860 22334825 22622588 28278235 35735720 44669650 45245176 56556470 89339300 113112940 141391175 178678600 226225880 282782350 565564700 1002324031 1131129400 2004648062 4009296124 5011620155 8018592248 10023240310 20046480620 25058100775 40092961240 50116201550 71165006201 100232403100 142330012402 200464806200 284660024804 355825031005 569320049608 711650062010 1423300124020 1779125155025 2846600248040 3558250310050 7116500620100 14233001240200