Search a number
-
+
10404442111140 = 223357115915128087
BaseRepresentation
bin1001011101100111100100…
…0100110111110010100100
31100211122200110102020202000
42113121321010313302210
52330431244140024030
634043422411045300
72122460526513540
oct227317104676244
940748613366660
1010404442111140
113351554368250
12120054a740830
135a6199b8229c
1427d81324ca20
1513099b7e2860
hex97679137ca4

10404442111140 has 768 divisors, whose sum is σ = 41313897676800. Its totient is φ = 2111168448000.

The previous prime is 10404442111139. The next prime is 10404442111177. The reversal of 10404442111140 is 4111124440401.

10404442111140 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 444 + 211 + 1 + 1 + 4 + 0 = 666.

It is a super-2 number, since 2×104044421111402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 370422177 + ... + 370450263.

It is an arithmetic number, because the mean of its divisors is an integer number (53794137600).

Almost surely, 210404442111140 is an apocalyptic number.

10404442111140 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 10404442111140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20656948838400).

10404442111140 is an abundant number, since it is smaller than the sum of its proper divisors (30909455565660).

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

10404442111140 is a wasteful number, since it uses less digits than its factorization.

10404442111140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28333 (or 28325 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 10404442111140 its reverse (4111124440401), we get a palindrome (14515566551541).

The spelling of 10404442111140 in words is "ten trillion, four hundred four billion, four hundred forty-two million, one hundred eleven thousand, one hundred forty".