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14201320224300 = 223521117253142963
BaseRepresentation
bin1100111010101000000010…
…1001011011011000101100
31212021122002102102222112020
43032222000221123120230
53330133300434134200
650111555122110140
72664003645130026
oct316520051333054
955248072388466
1014201320224300
114585823047950
1217143894ab350
137c024293c621
143714c1a17016
15199620209ea0
hexcea80a5b62c

14201320224300 has 144 divisors (see below), whose sum is σ = 47461268034432. Its totient is φ = 3240229913600.

The previous prime is 14201320224211. The next prime is 14201320224467. The reversal of 14201320224300 is 342202310241.

It is a happy number.

It is a super-2 number, since 2×142013202243002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126515382 + ... + 126627581.

It is an arithmetic number, because the mean of its divisors is an integer number (329592139128).

Almost surely, 214201320224300 is an apocalyptic number.

14201320224300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14201320224300 is an abundant number, since it is smaller than the sum of its proper divisors (33259947810132).

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

14201320224300 is a wasteful number, since it uses less digits than its factorization.

14201320224300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253143008 (or 253143001 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14201320224300 its reverse (342202310241), we get a palindrome (14543522534541).

The spelling of 14201320224300 in words is "fourteen trillion, two hundred one billion, three hundred twenty million, two hundred twenty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 25 30 33 34 44 50 51 55 60 66 68 75 85 100 102 110 132 150 165 170 187 204 220 255 275 300 330 340 374 425 510 550 561 660 748 825 850 935 1020 1100 1122 1275 1650 1700 1870 2244 2550 2805 3300 3740 4675 5100 5610 9350 11220 14025 18700 28050 56100 253142963 506285926 759428889 1012571852 1265714815 1518857778 2531429630 2784572593 3037715556 3797144445 4303430371 5062859260 5569145186 6328574075 7594288890 8353717779 8606860742 11138290372 12657148150 12910291113 13922862965 15188577780 16707435558 17213721484 18985722225 21517151855 25314296300 25820582226 27845725930 33414871116 37971444450 41768588895 43034303710 47337734081 51641164452 55691451860 64551455565 69614314825 75942888900 83537177790 86068607420 94675468162 107585759275 129102911130 139228629650 142013202243 167074355580 189350936324 208842944475 215171518550 236688670405 258205822260 278457259300 284026404486 322757277825 417685888950 430343037100 473377340810 568052808972 645514555650 710066011215 835371777900 946754681620 1183443352025 1291029111300 1420132022430 2366886704050 2840264044860 3550330056075 4733773408100 7100660112150 14201320224300