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11141500000 = 255622283
BaseRepresentation
bin10100110000001010…
…11100110001100000
31001202110200211202011
422120011130301200
5140304211000000
65041321002304
7543045121201
oct123005346140
931673624664
1011141500000
1147a80a4944
1221ab323394
13108733b667
147799c55a8
154531e02ba
hex29815cc60

11141500000 has 84 divisors (see below), whose sum is σ = 27419414652. Its totient is φ = 4456400000.

The previous prime is 11141499991. The next prime is 11141500039. The reversal of 11141500000 is 514111.

It is a congruent number.

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 488859 + ... + 511141.

It is an arithmetic number, because the mean of its divisors is an integer number (326421603).

Almost surely, 211141500000 is an apocalyptic number.

11141500000 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 11141500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13709707326).

11141500000 is an abundant number, since it is smaller than the sum of its proper divisors (16277914652).

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

11141500000 is an frugal number, since it uses more digits than its factorization.

11141500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22323 (or 22290 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

The spelling of 11141500000 in words is "eleven billion, one hundred forty-one million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 15625 20000 22283 25000 31250 44566 50000 62500 89132 100000 111415 125000 178264 222830 250000 356528 445660 500000 557075 713056 891320 1114150 1782640 2228300 2785375 3565280 4456600 5570750 8913200 11141500 13926875 17826400 22283000 27853750 44566000 55707500 69634375 89132000 111415000 139268750 222830000 278537500 348171875 445660000 557075000 696343750 1114150000 1392687500 2228300000 2785375000 5570750000 11141500000