Search a number
-
+
11043322907040 = 2535519910131409
BaseRepresentation
bin1010000010110011100101…
…0101101100100110100000
31110002201202011100101100000
42200230321111230212200
52421413211131011130
635253122115500000
72216565556623624
oct240547125544640
943081664311300
1011043322907040
1135784a0978216
1212a432a5b7600
136214c4a492a8
142a26dd1a3184
151423dec6b260
hexa0b3956c9a0

11043322907040 has 576 divisors, whose sum is σ = 39344157216000. Its totient is φ = 2925117702144.

The previous prime is 11043322907033. The next prime is 11043322907119. The reversal of 11043322907040 is 4070922334011.

It is a happy number.

11043322907040 is a `hidden beast` number, since 1 + 10 + 433 + 22 + 90 + 70 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11043322906986 and 11043322907004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7837701856 + ... + 7837703264.

It is an arithmetic number, because the mean of its divisors is an integer number (68305828500).

Almost surely, 211043322907040 is an apocalyptic number.

11043322907040 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 11043322907040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19672078608000).

11043322907040 is an abundant number, since it is smaller than the sum of its proper divisors (28300834308960).

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

11043322907040 is a wasteful number, since it uses less digits than its factorization.

11043322907040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 11043322907040 in words is "eleven trillion, forty-three billion, three hundred twenty-two million, nine hundred seven thousand, forty".