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14245103200 = 255273353691
BaseRepresentation
bin11010100010001001…
…10000011001100000
31100202202200012221211
431101010300121200
5213133221300300
610313305555504
71013002244056
oct152104603140
940682605854
1014245103200
11604aa97969
1229167a5b94
131460328763
14991c7a1d6
155858eb4ba
hex351130660

14245103200 has 144 divisors (see below), whose sum is σ = 35403265296. Its totient is φ = 5595955200.

The previous prime is 14245103189. The next prime is 14245103231. The reversal of 14245103200 is 230154241.

It is a congruent number.

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, 20614855 + ... + 20615545.

It is an arithmetic number, because the mean of its divisors is an integer number (245856009).

Almost surely, 214245103200 is an apocalyptic number.

14245103200 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 14245103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17701632648).

14245103200 is an abundant number, since it is smaller than the sum of its proper divisors (21158162096).

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

14245103200 is a wasteful number, since it uses less digits than its factorization.

14245103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 14245103200 its reverse (230154241), we get a palindrome (14475257441).

The spelling of 14245103200 in words is "fourteen billion, two hundred forty-five million, one hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 73 80 100 146 160 200 292 353 365 400 584 691 706 730 800 1168 1382 1412 1460 1765 1825 2336 2764 2824 2920 3455 3530 3650 5528 5648 5840 6910 7060 7300 8825 11056 11296 11680 13820 14120 14600 17275 17650 22112 25769 27640 28240 29200 34550 35300 50443 51538 55280 56480 58400 69100 70600 100886 103076 110560 128845 138200 141200 201772 206152 243923 252215 257690 276400 282400 403544 412304 487846 504430 515380 552800 644225 807088 824608 975692 1008860 1030760 1219615 1261075 1288450 1614176 1951384 2017720 2061520 2439230 2522150 2576900 3902768 4035440 4123040 4878460 5044300 5153800 6098075 7805536 8070880 9756920 10088600 10307600 12196150 17806379 19513840 20177200 20615200 24392300 35612758 39027680 40354400 48784600 71225516 89031895 97569200 142451032 178063790 195138400 284902064 356127580 445159475 569804128 712255160 890318950 1424510320 1780637900 2849020640 3561275800 7122551600 14245103200