Search a number
-
+
203320011440 = 245713157177889
BaseRepresentation
bin1011110101011011010…
…0010010101010110000
3201102210201110202000002
42331112310102222300
511312344410331230
6233223125245132
720455313403440
oct2752664225260
9642721422002
10203320011440
1179255933a07
12334a35637a8
13162330b9ba0
149baadca120
15544eb7b545
hex2f56d12ab0

203320011440 has 160 divisors (see below), whose sum is σ = 585517107840. Its totient is φ = 63937216512.

The previous prime is 203320011439. The next prime is 203320011473. The reversal of 203320011440 is 44110023302.

203320011440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1054016 + ... + 1231904.

It is an arithmetic number, because the mean of its divisors is an integer number (3659481924).

Almost surely, 2203320011440 is an apocalyptic number.

203320011440 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 203320011440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292758553920).

203320011440 is an abundant number, since it is smaller than the sum of its proper divisors (382197096400).

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

203320011440 is a wasteful number, since it uses less digits than its factorization.

203320011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178079 (or 178073 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 203320011440 its reverse (44110023302), we get a palindrome (247430034742).

The spelling of 203320011440 in words is "two hundred three billion, three hundred twenty million, eleven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 157 182 208 260 280 314 364 455 520 560 628 728 785 910 1040 1099 1256 1456 1570 1820 2041 2198 2512 3140 3640 4082 4396 5495 6280 7280 8164 8792 10205 10990 12560 14287 16328 17584 20410 21980 28574 32656 40820 43960 57148 71435 81640 87920 114296 142870 163280 177889 228592 285740 355778 571480 711556 889445 1142960 1245223 1423112 1778890 2312557 2490446 2846224 3557780 4625114 4980892 6226115 7115560 9250228 9961784 11562785 12452230 14231120 16187899 18500456 19923568 23125570 24904460 27928573 32375798 37000912 46251140 49808920 55857146 64751596 80939495 92502280 99617840 111714292 129503192 139642865 161878990 185004560 195500011 223428584 259006384 279285730 323757980 363071449 391000022 446857168 558571460 647515960 726142898 782000044 977500055 1117142920 1295031920 1452285796 1564000088 1815357245 1955000110 2234285840 2541500143 2904571592 3128000176 3630714490 3910000220 5083000286 5809143184 7261428980 7820000440 10166000572 12707500715 14522857960 15640000880 20332001144 25415001430 29045715920 40664002288 50830002860 101660005720 203320011440