Search a number
-
+
11025422150040 = 2334517436736917
BaseRepresentation
bin1010000001110000111001…
…0111101110100110011000
31110001000112121220201010000
42200130032113232212120
52421120031032300130
635241001540253000
72215363144661664
oct240341627564630
943030477821100
1011025422150040
11357094540a571
1212a09736a1160
1361c901255a9c
142a18c1a0b8a4
15141be3468260
hexa070e5ee998

11025422150040 has 640 divisors, whose sum is σ = 40215503972160. Its totient is φ = 2698405871616.

The previous prime is 11025422150027. The next prime is 11025422150077. The reversal of 11025422150040 is 4005122452011.

It is a happy number.

11025422150040 is a `hidden beast` number, since 1 + 10 + 2 + 542 + 21 + 50 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11025422149986 and 11025422150013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1593956662 + ... + 1593963578.

Almost surely, 211025422150040 is an apocalyptic number.

11025422150040 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 11025422150040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20107751986080).

11025422150040 is an abundant number, since it is smaller than the sum of its proper divisors (29190081822120).

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

11025422150040 is a wasteful number, since it uses less digits than its factorization.

11025422150040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7673 (or 7660 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 11025422150040 in words is "eleven trillion, twenty-five billion, four hundred twenty-two million, one hundred fifty thousand, forty".