Search a number
-
+
11024243131440 = 243571147911091123
BaseRepresentation
bin1010000001101100100000…
…0110001000010000110000
31110000220111110101100122110
42200123020012020100300
52421110122220201230
635240244542005320
72215322010330660
oct240331006102060
943026443340573
1011024243131440
11357039a934430
1212a06a4876840
1361c773bc9646
142a180d1c01a0
15141b74bc44b0
hexa06c8188430

11024243131440 has 640 divisors, whose sum is σ = 42773490892800. Its totient is φ = 2281874411520.

The previous prime is 11024243131427. The next prime is 11024243131459. The reversal of 11024243131440 is 4413134242011.

It is a happy number.

It is a super-2 number, since 2×110242431314402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11024243131398 and 11024243131407.

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 127 ways as a sum of consecutive naturals, for example, 9816778719 + ... + 9816779841.

It is an arithmetic number, because the mean of its divisors is an integer number (66833579520).

Almost surely, 211024243131440 is an apocalyptic number.

11024243131440 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 11024243131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21386745446400).

11024243131440 is an abundant number, since it is smaller than the sum of its proper divisors (31749247761360).

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

11024243131440 is a wasteful number, since it uses less digits than its factorization.

11024243131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 11024243131440 its reverse (4413134242011), we get a palindrome (15437377373451).

The spelling of 11024243131440 in words is "eleven trillion, twenty-four billion, two hundred forty-three million, one hundred thirty-one thousand, four hundred forty".