Search a number
-
+
200001242010440 = 2351317919131123211
BaseRepresentation
bin101101011110011001101010…
…111111000001001101001000
3222020010221011102200201121002
4231132121222333001031020
5202203310020423313230
61545211145134034132
760061420136243303
oct5536315277011510
9866127142621532
10200001242010440
11587aa061103162
121a5216b7348948
13877a0616a1cc0
14375617c96bb3a
15181c758127545
hexb5e66afc1348

200001242010440 has 128 divisors (see below), whose sum is σ = 487580937782400. Its totient is φ = 73395609323520.

The previous prime is 200001242010431. The next prime is 200001242010457. The reversal of 200001242010440 is 44010242100002.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177500435 + ... + 178623645.

It is an arithmetic number, because the mean of its divisors is an integer number (3809226076425).

Almost surely, 2200001242010440 is an apocalyptic number.

200001242010440 is a gapful number since it is divisible by the number (20) 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 200001242010440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243790468891200).

200001242010440 is an abundant number, since it is smaller than the sum of its proper divisors (287579695771960).

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

200001242010440 is a wasteful number, since it uses less digits than its factorization.

200001242010440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125327 (or 1125323 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 200001242010440 its reverse (44010242100002), we get a palindrome (244011484110442).

The spelling of 200001242010440 in words is "two hundred trillion, one billion, two hundred forty-two million, ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 179 260 358 520 716 895 1432 1790 1913 2327 3580 3826 4654 7160 7652 9308 9565 11635 15304 18616 19130 23270 24869 38260 46540 49738 76520 93080 99476 124345 198952 248690 342427 497380 684854 994760 1123211 1369708 1712135 2246422 2739416 3424270 4451551 4492844 5616055 6848540 8903102 8985688 11232110 13697080 14601743 17806204 22257755 22464220 29203486 35612408 44515510 44928440 58406972 73008715 89031020 116813944 146017430 178062040 201054769 292034860 402109538 584069720 804219076 1005273845 1608438152 2010547690 2148702643 2613711997 4021095380 4297405286 5227423994 8042190760 8594810572 10454847988 10743513215 13068559985 17189621144 20909695976 21487026430 26137119970 27933134359 42974052860 52274239940 55866268718 85948105720 104548479880 111732537436 139665671795 223465074872 279331343590 384617773097 558662687180 769235546194 1117325374360 1538471092388 1923088865485 3076942184776 3846177730970 5000031050261 7692355461940 10000062100522 15384710923880 20000124201044 25000155251305 40000248402088 50000310502610 100000621005220 200001242010440