Search a number
-
+
11042570043000 = 23325319233775883
BaseRepresentation
bin1010000010110000110001…
…1101101111111001111000
31110002122210200200221000200
42200230030131233321320
52421410140412334000
635252515303202200
72216541115446006
oct240541435577170
943078720627020
1011042570043000
113578144a01331
1212a415a446360
13621404a8b002
142a266b1c7a76
15142398b05500
hexa0b0c76fe78

11042570043000 has 768 divisors, whose sum is σ = 42105056947200. Its totient is φ = 2596257100800.

The previous prime is 11042570042993. The next prime is 11042570043017. The reversal of 11042570043000 is 34007524011.

11042570043000 is a `hidden beast` number, since 1 + 10 + 42 + 570 + 0 + 43 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×110425700430002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 145483059 + ... + 145558941.

It is an arithmetic number, because the mean of its divisors is an integer number (54824292900).

Almost surely, 211042570043000 is an apocalyptic number.

11042570043000 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 11042570043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21052528473600).

11042570043000 is an abundant number, since it is smaller than the sum of its proper divisors (31062486904200).

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

11042570043000 is a wasteful number, since it uses less digits than its factorization.

11042570043000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75989 (or 75972 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 11042570043000 its reverse (34007524011), we get a palindrome (11076577567011).

The spelling of 11042570043000 in words is "eleven trillion, forty-two billion, five hundred seventy million, forty-three thousand".