Search a number
-
+
9542111040 = 263457211683
BaseRepresentation
bin10001110001100000…
…10000111101000000
3220122000011110120000
420320300100331000
5124020240023130
64214504320000
7455314414500
oct107060207500
926560143500
109542111040
114057300290
121a23773000
13b90b8aa67
1466740da00
153acab2260
hex238c10f40

9542111040 has 840 divisors, whose sum is σ = 43137258912. Its totient is φ = 1979873280.

The previous prime is 9542111021. The next prime is 9542111053. The reversal of 9542111040 is 401112459.

9542111040 is a `hidden beast` number, since 9 + 542 + 1 + 110 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 = 9542110995 and 9542111013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13970539 + ... + 13971221.

Almost surely, 29542111040 is an apocalyptic number.

9542111040 is a gapful number since it is divisible by the number (90) 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 9542111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21568629456).

9542111040 is an abundant number, since it is smaller than the sum of its proper divisors (33595147872).

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

9542111040 is a wasteful number, since it uses less digits than its factorization.

9542111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 9542111040 is about 97683.7296585260. The cubic root of 9542111040 is about 2121.0365644123.

Adding to 9542111040 its reverse (401112459), we get a palindrome (9943223499).

The spelling of 9542111040 in words is "nine billion, five hundred forty-two million, one hundred eleven thousand, forty".