Search a number
-
+
11440300160 = 27553367919
BaseRepresentation
bin10101010011110010…
…10010000010000000
31002112021221110111202
422221321102002000
5141412204101120
65131113200332
7553333642532
oct125171220200
932467843452
1011440300160
114940829923
1222734000a8
1311042092a3
147a7565852
1546e563875
hex2a9e52080

11440300160 has 128 divisors (see below), whose sum is σ = 27971827200. Its totient is φ = 4472672256.

The previous prime is 11440300147. The next prime is 11440300163. The reversal of 11440300160 is 6100304411.

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 (11440300163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12448181 + ... + 12449099.

It is an arithmetic number, because the mean of its divisors is an integer number (218529900).

Almost surely, 211440300160 is an apocalyptic number.

11440300160 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 11440300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13985913600).

11440300160 is an abundant number, since it is smaller than the sum of its proper divisors (16531527040).

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

11440300160 is an equidigital number, since it uses as much as digits as its factorization.

11440300160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11440300160 its reverse (6100304411), we get a palindrome (17540604571).

The spelling of 11440300160 in words is "eleven billion, four hundred forty million, three hundred thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 265 320 367 424 530 640 734 848 919 1060 1468 1696 1835 1838 2120 2936 3392 3670 3676 4240 4595 5872 6784 7340 7352 8480 9190 11744 14680 14704 16960 18380 19451 23488 29360 29408 33920 36760 38902 46976 48707 58720 58816 73520 77804 97255 97414 117440 117632 147040 155608 194510 194828 234880 243535 294080 311216 337273 389020 389656 487070 588160 622432 674546 778040 779312 974140 1244864 1349092 1556080 1558624 1686365 1948280 2489728 2698184 3112160 3117248 3372730 3896560 5396368 6224320 6234496 6745460 7793120 10792736 12448640 13490920 15586240 17875469 21585472 26981840 31172480 35750938 43170944 53963680 71501876 89377345 107927360 143003752 178754690 215854720 286007504 357509380 572015008 715018760 1144030016 1430037520 2288060032 2860075040 5720150080 11440300160