Search a number
-
+
1145040288 = 253771103233
BaseRepresentation
bin100010000111111…
…1110110110100000
32221210121001222120
41010033332312200
54321112242123
6305342104240
740242452610
oct10417766640
92853531876
101145040288
11538388797
1227b57b080
131532c0742
14ac104a40
156a7d12e3
hex443feda0

1145040288 has 192 divisors, whose sum is σ = 3532419072. Its totient is φ = 318044160.

The previous prime is 1145040233. The next prime is 1145040307. The reversal of 1145040288 is 8820405411.

It is a super-2 number, since 2×11450402882 = 2622234522286245888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4914220 + ... + 4914452.

It is an arithmetic number, because the mean of its divisors is an integer number (18398016).

Almost surely, 21145040288 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 1145040288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766209536).

1145040288 is an abundant number, since it is smaller than the sum of its proper divisors (2387378784).

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

1145040288 is a wasteful number, since it uses less digits than its factorization.

1145040288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 1145040288 is about 33838.4439358550. The cubic root of 1145040288 is about 1046.1812266501.

Adding to 1145040288 its reverse (8820405411), we get a palindrome (9965445699).

The spelling of 1145040288 in words is "one billion, one hundred forty-five million, forty thousand, two hundred eighty-eight".