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11140085448 = 2332179101377
BaseRepresentation
bin10100110000000000…
…00011011011001000
31001202101000222100100
422120000003123020
5140303330213243
65041230405400
7543030110142
oct123000033310
931671028310
1011140085448
1147a7319098
1221aa960860
131086c6484b
14779737c92
154530110d3
hex2980036c8

11140085448 has 48 divisors (see below), whose sum is σ = 31945836780. Its totient is φ = 3494928384.

The previous prime is 11140085447. The next prime is 11140085459. The reversal of 11140085448 is 84458004111.

It can be written as a sum of positive squares in 2 ways, for example, as 10958321124 + 181764324 = 104682^2 + 13482^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11140085447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4549465 + ... + 4551912.

Almost surely, 211140085448 is an apocalyptic number.

11140085448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11140085448 is an abundant number, since it is smaller than the sum of its proper divisors (20805751332).

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

11140085448 is a wasteful number, since it uses less digits than its factorization.

11140085448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9101406 (or 9101399 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

Adding to 11140085448 its reverse (84458004111), we get a palindrome (95598089559).

The spelling of 11140085448 in words is "eleven billion, one hundred forty million, eighty-five thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 9101377 18202754 27304131 36405508 54608262 72811016 81912393 109216524 154723409 163824786 218433048 309446818 327649572 464170227 618893636 655299144 928340454 1237787272 1392510681 1856680908 2785021362 3713361816 5570042724 11140085448