Search a number
-
+
1145001312 = 253371314563
BaseRepresentation
bin100010000111111…
…0101010101100000
32221210112002112000
41010033311111200
54321110020222
6305341204000
740242231150
oct10417652540
92853462460
101145001312
11538361484
1227b560600
131532a8a90
14ac0d4760
156a7c49ac
hex443f5560

1145001312 has 192 divisors, whose sum is σ = 4110543360. Its totient is φ = 301957632.

The previous prime is 1145001311. The next prime is 1145001331. The reversal of 1145001312 is 2131005411.

It is a super-2 number, since 2×11450013122 = 2622056008963442688, which contains 22 as substring.

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 (1145001311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71343 + ... + 85905.

It is an arithmetic number, because the mean of its divisors is an integer number (21409080).

Almost surely, 21145001312 is an apocalyptic number.

1145001312 is a gapful number since it is divisible by the number (12) 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 1145001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055271680).

1145001312 is an abundant number, since it is smaller than the sum of its proper divisors (2965542048).

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

1145001312 is a wasteful number, since it uses less digits than its factorization.

1145001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14602 (or 14588 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1145001312 is about 33837.8680179470. The cubic root of 1145001312 is about 1046.1693562025.

Adding to 1145001312 its reverse (2131005411), we get a palindrome (3276006723).

The spelling of 1145001312 in words is "one billion, one hundred forty-five million, one thousand, three hundred twelve".