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424200104300 = 2252738910311511
BaseRepresentation
bin1100010110001000100…
…10111110100101101100
31111112221020100001012002
412023010102332211230
523422230211314200
6522512544231432
742435034251650
oct6130422764554
91445836301162
10424200104300
111539a19999a5
126a26790b578
133100422a29b
141676220aa60
15b07b264bd5
hex62c44be96c

424200104300 has 144 divisors (see below), whose sum is σ = 1056442383360. Its totient is φ = 144829536000.

The previous prime is 424200104297. The next prime is 424200104303. The reversal of 424200104300 is 3401002424.

It is an interprime number because it is at equal distance from previous prime (424200104297) and next prime (424200104303).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (424200104303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280740545 + ... + 280742055.

It is an arithmetic number, because the mean of its divisors is an integer number (7336405440).

Almost surely, 2424200104300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424200104300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528221191680).

424200104300 is an abundant number, since it is smaller than the sum of its proper divisors (632242279060).

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

424200104300 is a wasteful number, since it uses less digits than its factorization.

424200104300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 424200104300 its reverse (3401002424), we get a palindrome (427601106724).

The spelling of 424200104300 in words is "four hundred twenty-four billion, two hundred million, one hundred four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 389 700 778 1031 1511 1556 1945 2062 2723 3022 3890 4124 5155 5446 6044 7217 7555 7780 9725 10310 10577 10892 13615 14434 15110 19450 20620 21154 25775 27230 28868 30220 36085 37775 38900 42308 51550 52885 54460 68075 72170 75550 103100 105770 136150 144340 151100 180425 211540 264425 272300 360850 401059 528850 587779 721700 802118 1057700 1175558 1557841 1604236 2005295 2351116 2807413 2938895 3115682 4010590 4114453 5614826 5877790 6231364 7789205 8021180 8228906 10026475 10904887 11229652 11755580 14037065 14694475 15578410 16457812 20052950 20572265 21809774 28074130 29388950 31156820 38946025 40105900 41144530 43619548 54524435 56148260 58777900 70185325 77892050 82289060 102861325 109048870 140370650 155784100 205722650 218097740 272622175 280741300 411445300 545244350 606000149 1090488700 1212000298 2424000596 3030000745 4242001043 6060001490 8484002086 12120002980 15150003725 16968004172 21210005215 30300007450 42420010430 60600014900 84840020860 106050026075 212100052150 424200104300