Search a number
-
+
11041115024000 = 27532179316691
BaseRepresentation
bin1010000010101011010110…
…1111010010101010000000
31110002112001021211022012002
42200222311233102222000
52421344200421232000
635252115045123132
72216460060133055
oct240526557225200
943075037738162
1011041115024000
113577568653a96
1212a3a130b94a8
136212324b7819
142a256dc7302c
15142310ee38d5
hexa0ab5bd2a80

11041115024000 has 128 divisors (see below), whose sum is σ = 27463656916800. Its totient is φ = 4414405248000.

The previous prime is 11041115023987. The next prime is 11041115024003. The reversal of 11041115024000 is 42051114011.

It is a tau number, because it is divible by the number of its divisors (128).

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 (11041115024003) 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 15 ways as a sum of consecutive naturals, for example, 34705655 + ... + 35022345.

Almost surely, 211041115024000 is an apocalyptic number.

11041115024000 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 11041115024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13731828458400).

11041115024000 is an abundant number, since it is smaller than the sum of its proper divisors (16422541892800).

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

11041115024000 is an equidigital number, since it uses as much as digits as its factorization.

11041115024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318899 (or 318877 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

Adding to 11041115024000 its reverse (42051114011), we get a palindrome (11083166138011).

The spelling of 11041115024000 in words is "eleven trillion, forty-one billion, one hundred fifteen million, twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 2179 3200 4000 4358 8000 8716 10895 16000 17432 21790 34864 43580 54475 69728 87160 108950 139456 174320 217900 272375 278912 316691 348640 435800 544750 633382 697280 871600 1089500 1266764 1394560 1583455 1743200 2179000 2533528 3166910 3486400 4358000 5067056 6333820 6972800 7917275 8716000 10134112 12667640 15834550 17432000 20268224 25335280 31669100 34864000 39586375 40536448 50670560 63338200 79172750 101341120 126676400 158345500 202682240 253352800 316691000 506705600 633382000 690069689 1013411200 1266764000 1380139378 2533528000 2760278756 3450348445 5067056000 5520557512 6900696890 11041115024 13801393780 17251742225 22082230048 27602787560 34503484450 44164460096 55205575120 69006968900 86258711125 88328920192 110411150240 138013937800 172517422250 220822300480 276027875600 345034844500 441644600960 552055751200 690069689000 1104111502400 1380139378000 2208223004800 2760278756000 5520557512000 11041115024000