Search a number
-
+
1141202304 = 27331122729
BaseRepresentation
bin100010000000101…
…0101110110000000
32221112101002021000
41010001111312000
54314121433204
6305123532000
740165026264
oct10401256600
92845332230
101141202304
115361a7200
1227a22a000
13152578848
14ab7c60a4
156a2c4039
hex44055d80

1141202304 has 192 divisors, whose sum is σ = 3703518000. Its totient is φ = 345692160.

The previous prime is 1141202303. The next prime is 1141202329. The reversal of 1141202304 is 4032021411.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141202303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416812 + ... + 419540.

Almost surely, 21141202304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141202304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851759000).

1141202304 is an abundant number, since it is smaller than the sum of its proper divisors (2562315696).

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

1141202304 is a wasteful number, since it uses less digits than its factorization.

1141202304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1141202304 is about 33781.6859259570. The cubic root of 1141202304 is about 1045.0110432813.

Adding to 1141202304 its reverse (4032021411), we get a palindrome (5173223715).

The spelling of 1141202304 in words is "one billion, one hundred forty-one million, two hundred two thousand, three hundred four".