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14003233414300 = 22521331756536011
BaseRepresentation
bin1100101111000110000111…
…0000001101110010011100
31211120200210102011102022201
43023301201300031302130
53313412110223224200
645440555134221244
72643462115046314
oct313614160156234
954520712142281
1014003233414300
114509813220709
1216a1b06654824
137a7664ac1850
14365a8da74444
151943c9bebc6a
hexcbc61c0dc9c

14003233414300 has 144 divisors (see below), whose sum is σ = 32838980483232. Its totient is φ = 5152345113600.

The previous prime is 14003233414273. The next prime is 14003233414301. The reversal of 14003233414300 is 341433230041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14003233414301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2329598295 + ... + 2329604305.

It is an arithmetic number, because the mean of its divisors is an integer number (228048475578).

Almost surely, 214003233414300 is an apocalyptic number.

14003233414300 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 14003233414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16419490241616).

14003233414300 is an abundant number, since it is smaller than the sum of its proper divisors (18835747068932).

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

14003233414300 is a wasteful number, since it uses less digits than its factorization.

14003233414300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12008 (or 12001 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 14003233414300 its reverse (341433230041), we get a palindrome (14344666644341).

The spelling of 14003233414300 in words is "fourteen trillion, three billion, two hundred thirty-three million, four hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 317 325 634 650 1268 1300 1585 3170 4121 5653 6011 6340 7925 8242 11306 12022 15850 16484 20605 22612 24044 28265 30055 31700 41210 56530 60110 73489 78143 82420 103025 113060 120220 141325 146978 150275 156286 206050 282650 293956 300550 312572 367445 390715 412100 565300 601100 734890 781430 1469780 1562860 1792001 1837225 1905487 1953575 3584002 3674450 3810974 3907150 7168004 7348900 7621948 7814300 8960005 9527435 17920010 19054870 23296013 24771331 33980183 35840020 38109740 44800025 46592026 47637175 49542662 67960366 89600050 93184052 95274350 99085324 116480065 123856655 135920732 169900915 179200100 190548700 232960130 247713310 339801830 441742379 465920260 495426620 582400325 619283275 679603660 849504575 883484758 1164800650 1238566550 1699009150 1766969516 2208711895 2329601300 2477133100 3398018300 4417423790 8834847580 10771718011 11043559475 21543436022 22087118950 43086872044 44174237900 53858590055 107717180110 140032334143 215434360220 269292950275 280064668286 538585900550 560129336572 700161670715 1077171801100 1400323341430 2800646682860 3500808353575 7001616707150 14003233414300