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11144441220 = 223511210914083
BaseRepresentation
bin10100110000100001…
…01010110110000100
31001202200020021100020
422120100222312010
5140310434104340
65041504015140
7543112121163
oct123020526604
931680207306
1011144441220
1147a9823700
1221b03014b0
131087b2b323
1477a14d3da
154535c19d0
hex29842ad84

11144441220 has 144 divisors (see below), whose sum is σ = 34616218560. Its totient is φ = 2676706560.

The previous prime is 11144441201. The next prime is 11144441221. The reversal of 11144441220 is 2214444111.

It is not an unprimeable number, because it can be changed into a prime (11144441221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 784299 + ... + 798381.

Almost surely, 211144441220 is an apocalyptic number.

11144441220 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 11144441220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17308109280).

11144441220 is an abundant number, since it is smaller than the sum of its proper divisors (23471777340).

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

11144441220 is a wasteful number, since it uses less digits than its factorization.

11144441220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14226 (or 14213 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 11144441220 its reverse (2214444111), we get a palindrome (13358885331).

The spelling of 11144441220 in words is "eleven billion, one hundred forty-four million, four hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 109 110 121 132 165 218 220 242 327 330 363 436 484 545 605 654 660 726 1090 1199 1210 1308 1452 1635 1815 2180 2398 2420 3270 3597 3630 4796 5995 6540 7194 7260 11990 13189 14083 14388 17985 23980 26378 28166 35970 39567 42249 52756 56332 65945 70415 71940 79134 84498 131890 140830 154913 158268 168996 197835 211245 263780 281660 309826 395670 422490 464739 619652 774565 791340 844980 929478 1535047 1549130 1704043 1858956 2323695 3070094 3098260 3408086 4605141 4647390 5112129 6140188 6816172 7675235 8520215 9210282 9294780 10224258 15350470 16885517 17040430 18420564 20448516 23025705 25560645 30700940 33771034 34080860 46051410 50656551 51121290 67542068 84427585 92102820 101313102 102242580 168855170 185740687 202626204 253282755 337710340 371481374 506565510 557222061 742962748 928703435 1013131020 1114444122 1857406870 2228888244 2786110305 3714813740 5572220610 11144441220