Search a number
-
+
11441313300320 = 2556111677100391
BaseRepresentation
bin1010011001111110001101…
…1010100011111101100000
31111111210000210111011011022
42212133203122203331200
52444423302201102240
640200022231105012
72260415260302131
oct246374332437540
944453023434138
1011441313300320
1137112630a1312
1213494a0812168
1364cbacc28717
142b7a964c9c88
1514c9350059b5
hexa67e36a3f60

11441313300320 has 96 divisors (see below), whose sum is σ = 27475845558336. Its totient is φ = 4501069977600.

The previous prime is 11441313300301. The next prime is 11441313300409. The reversal of 11441313300320 is 2300331314411.

It is a self number, because there is not a number n which added to its sum of digits gives 11441313300320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113917325 + ... + 114017715.

It is an arithmetic number, because the mean of its divisors is an integer number (286206724566).

Almost surely, 211441313300320 is an apocalyptic number.

11441313300320 is a gapful number since it is divisible by the number (10) 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 11441313300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13737922779168).

11441313300320 is an abundant number, since it is smaller than the sum of its proper divisors (16034532258016).

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

11441313300320 is a wasteful number, since it uses less digits than its factorization.

11441313300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112144 (or 112136 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 11441313300320 its reverse (2300331314411), we get a palindrome (13741644614731).

The spelling of 11441313300320 in words is "eleven trillion, four hundred forty-one billion, three hundred thirteen million, three hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 4880 9760 11677 23354 46708 58385 93416 100391 116770 186832 200782 233540 373664 401564 467080 501955 712297 803128 934160 1003910 1424594 1606256 1868320 2007820 2849188 3212512 3561485 4015640 5698376 6123851 7122970 8031280 11396752 12247702 14245940 16062560 22793504 24495404 28491880 30619255 48990808 56983760 61238510 97981616 113967520 122477020 195963232 244954040 489908080 979816160 1172265707 2344531414 4689062828 5861328535 9378125656 11722657070 18756251312 23445314140 37512502624 46890628280 71508208127 93781256560 143016416254 187562513120 286032832508 357541040635 572065665016 715082081270 1144131330032 1430164162540 2288262660064 2860328325080 5720656650160 11441313300320