Search a number
-
+
1144362240 = 28325723617
BaseRepresentation
bin100010000110101…
…1001010100000000
32221202022121212200
41010031121110000
54320424042430
6305315353200
740233630030
oct10415312400
92852277780
101144362240
11537a6531a
1227b2b2800
13153113c28
14abda98c0
156a6ea460
hex44359500

1144362240 has 432 divisors, whose sum is σ = 4729390848. Its totient is φ = 249790464.

The previous prime is 1144362223. The next prime is 1144362281. The reversal of 1144362240 is 422634411.

It is a happy number.

1144362240 is a `hidden beast` number, since 1 + 1 + 4 + 436 + 224 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1854412 + ... + 1855028.

It is an arithmetic number, because the mean of its divisors is an integer number (10947664).

Almost surely, 21144362240 is an apocalyptic number.

1144362240 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 1144362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364695424).

1144362240 is an abundant number, since it is smaller than the sum of its proper divisors (3585028608).

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

1144362240 is a wasteful number, since it uses less digits than its factorization.

1144362240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1144362240 is about 33828.4235518003. The cubic root of 1144362240 is about 1045.9746833635.

Adding to 1144362240 its reverse (422634411), we get a palindrome (1566996651).

The spelling of 1144362240 in words is "one billion, one hundred forty-four million, three hundred sixty-two thousand, two hundred forty".