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200245403435440 = 245111978731521199
BaseRepresentation
bin101101100001111101000100…
…001000111100000110110000
3222021000021101110111020111211
4231201331010020330012300
5202221310041234413230
61545515245100445504
760115152525150436
oct5541750410740660
9867007343436454
10200245403435440
1158893664941610
121a560a98549894
1387970a2c6438c
143763d01b90d56
151823c9859342a
hexb61f4423c1b0

200245403435440 has 160 divisors (see below), whose sum is σ = 534694741632000. Its totient is φ = 68975254978560.

The previous prime is 200245403435437. The next prime is 200245403435471. The reversal of 200245403435440 is 44534304542002.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 200245403435393 and 200245403435402.

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, 130875961 + ... + 132397159.

It is an arithmetic number, because the mean of its divisors is an integer number (3341842135200).

Almost surely, 2200245403435440 is an apocalyptic number.

200245403435440 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 200245403435440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267347370816000).

200245403435440 is an abundant number, since it is smaller than the sum of its proper divisors (334449338196560).

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

200245403435440 is a wasteful number, since it uses less digits than its factorization.

200245403435440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529115 (or 1529109 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 40.

Adding to 200245403435440 its reverse (44534304542002), we get a palindrome (244779707977442).

The spelling of 200245403435440 in words is "two hundred trillion, two hundred forty-five billion, four hundred three million, four hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 2090 3344 4180 7873 8360 15746 16720 31492 39365 62984 78730 86603 125968 149587 157460 173206 299174 314920 346412 433015 598348 629840 692824 747935 866030 1196696 1385648 1495870 1521199 1645457 1732060 2393392 2991740 3042398 3290914 3464120 5983480 6084796 6581828 6928240 7605995 8227285 11966960 12169592 13163656 15211990 16454570 16733189 24339184 26327312 28902781 30423980 32909140 33466378 57805562 60847960 65818280 66932756 83665945 115611124 121695920 131636560 133865512 144513905 167331890 231222248 267731024 289027810 317930591 334663780 462444496 578055620 635861182 669327560 1156111240 1271722364 1338655120 1589652955 2312222480 2543444728 3179305910 5086889456 6358611820 11976399727 12717223640 23952799454 25434447280 47905598908 59881998635 95811197816 119763997270 131740396997 191622395632 227551594813 239527994540 263480793994 455103189626 479055989080 526961587988 658701984985 910206379252 958111978160 1053923175976 1137757974065 1317403969970 1820412758504 2107846351952 2275515948130 2503067542943 2634807939940 3640825517008 4551031896260 5006135085886 5269615879880 9102063792520 10012270171772 10539231759760 12515337714715 18204127585040 20024540343544 25030675429430 40049080687088 50061350858860 100122701717720 200245403435440