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11144220000 = 25354185737
BaseRepresentation
bin10100110000011111…
…10100110101100000
31001202122211000212220
422120033310311200
5140310410020000
65041455151040
7543110210214
oct123017646540
931678730786
1011144220000
1147a9692481
1221b0215480
131087a81724
1477a0d2944
1545357b1a0
hex2983f4d60

11144220000 has 120 divisors (see below), whose sum is σ = 36555467256. Its totient is φ = 2971776000.

The previous prime is 11144219939. The next prime is 11144220011. The reversal of 11144220000 is 2244111.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32869 + ... + 152868.

Almost surely, 211144220000 is an apocalyptic number.

11144220000 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 11144220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18277733628).

11144220000 is an abundant number, since it is smaller than the sum of its proper divisors (25411247256).

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

11144220000 is an equidigital number, since it uses as much as digits as its factorization.

11144220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185770 (or 185747 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11144220000 its reverse (2244111), we get a palindrome (11146464111).

The spelling of 11144220000 in words is "eleven billion, one hundred forty-four million, two hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 185737 371474 557211 742948 928685 1114422 1485896 1857370 2228844 2786055 2971792 3714740 4457688 4643425 5572110 5943584 7429480 8915376 9286850 11144220 13930275 14858960 17830752 18573700 22288440 23217125 27860550 29717920 37147400 44576880 46434250 55721100 69651375 74294800 89153760 92868500 111442200 116085625 139302750 148589600 185737000 222884400 232171250 278605500 348256875 371474000 445768800 464342500 557211000 696513750 742948000 928685000 1114422000 1393027500 1857370000 2228844000 2786055000 3714740000 5572110000 11144220000