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14321002300 = 225211173472207
BaseRepresentation
bin11010101011001100…
…10010011100111100
31100222001111021221121
431111212102130330
5213312134033200
610325020440324
71014613340203
oct152546223474
940861437847
1014321002300
116089917aa0
1229380a90a4
131472c81377
1499bd9623a
1558c3dee1a
hex35599273c

14321002300 has 144 divisors (see below), whose sum is σ = 36015694848. Its totient is φ = 4884966400.

The previous prime is 14321002277. The next prime is 14321002307. The reversal of 14321002300 is 320012341.

It is a happy number.

It is a super-2 number, since 2×143210023002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14321002307) 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, 6487797 + ... + 6490003.

It is an arithmetic number, because the mean of its divisors is an integer number (250108992).

Almost surely, 214321002300 is an apocalyptic number.

14321002300 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 14321002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18007847424).

14321002300 is an abundant number, since it is smaller than the sum of its proper divisors (21694692548).

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

14321002300 is a wasteful number, since it uses less digits than its factorization.

14321002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 14321002300 its reverse (320012341), we get a palindrome (14641014641).

The spelling of 14321002300 in words is "fourteen billion, three hundred twenty-one million, two thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 347 374 425 550 694 748 850 935 1100 1388 1700 1735 1870 2207 3470 3740 3817 4414 4675 5899 6940 7634 8675 8828 9350 11035 11798 15268 17350 18700 19085 22070 23596 24277 29495 34700 37519 38170 44140 48554 55175 58990 64889 75038 76340 95425 97108 110350 117980 121385 129778 147475 150076 187595 190850 220700 242770 259556 294950 324445 375190 381700 412709 485540 589900 606925 648890 750380 765829 825418 937975 1213850 1297780 1531658 1622225 1650836 1875950 2063545 2427700 3063316 3244450 3751900 3829145 4127090 6488900 7658290 8254180 8424119 10317725 13019093 15316580 16848238 19145725 20635450 26038186 33696476 38291450 41270900 42120595 52076372 65095465 76582900 84241190 130190930 143210023 168482380 210602975 260381860 286420046 325477325 421205950 572840092 650954650 716050115 842411900 1301909300 1432100230 2864200460 3580250575 7160501150 14321002300