Search a number
-
+
11013441024 = 293171972141
BaseRepresentation
bin10100100000111001…
…11100011000000000
31001102112201202212010
422100130330120000
5140023420103044
65020504132520
7536631463335
oct122034743000
931375652763
1011013441024
114741889283
122174467140
131066952511
147669ac98c
15446d46bb9
hex29073c600

11013441024 has 160 divisors (see below), whose sum is σ = 31238688096. Its totient is φ = 3436052480.

The previous prime is 11013441017. The next prime is 11013441037. The reversal of 11013441024 is 42014431011.

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, 5142994 + ... + 5145134.

Almost surely, 211013441024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11013441024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15619344048).

11013441024 is an abundant number, since it is smaller than the sum of its proper divisors (20225247072).

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

11013441024 is a wasteful number, since it uses less digits than its factorization.

11013441024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11013441024 its reverse (42014431011), we get a palindrome (53027872035).

The spelling of 11013441024 in words is "eleven billion, thirteen million, four hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 197 204 256 272 384 394 408 512 544 591 768 788 816 1088 1182 1536 1576 1632 2141 2176 2364 3152 3264 3349 4282 4352 4728 6304 6423 6528 6698 8564 8704 9456 10047 12608 12846 13056 13396 17128 18912 20094 25216 25692 26112 26792 34256 36397 37824 40188 50432 51384 53584 68512 72794 75648 80376 100864 102768 107168 109191 137024 145588 151296 160752 205536 214336 218382 274048 291176 302592 321504 411072 421777 428672 436764 548096 582352 643008 822144 843554 857344 873528 1096192 1164704 1265331 1286016 1644288 1687108 1714688 1747056 2329408 2530662 2572032 3288576 3374216 3494112 4658816 5061324 5144064 6748432 6988224 7170209 9317632 10122648 13496864 13976448 14340418 18635264 20245296 21510627 26993728 27952896 28680836 40490592 43021254 53987456 55905792 57361672 80981184 86042508 107974912 114723344 161962368 172085016 215949824 229446688 323924736 344170032 458893376 647849472 688340064 917786752 1376680128 1835573504 2753360256 3671147008 5506720512 11013441024