Search a number
-
+
1144427130 = 234571159311
BaseRepresentation
bin100010000110110…
…1001001001111010
32221202102220220000
41010031221021322
54320433132010
6305321013430
740234320150
oct10415511172
92852386800
101144427130
11537aaa050
1227b324276
13153137622
14abdc53d0
156a70e7c0
hex4436927a

1144427130 has 320 divisors, whose sum is σ = 3914127360. Its totient is φ = 233020800.

The previous prime is 1144427107. The next prime is 1144427143. The reversal of 1144427130 is 317244411.

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 = 1144427094 and 1144427103.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3679675 + ... + 3679985.

It is an arithmetic number, because the mean of its divisors is an integer number (12231648).

Almost surely, 21144427130 is an apocalyptic number.

1144427130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144427130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957063680).

1144427130 is an abundant number, since it is smaller than the sum of its proper divisors (2769700230).

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

1144427130 is a wasteful number, since it uses less digits than its factorization.

1144427130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1144427130 is about 33829.3826429038. The cubic root of 1144427130 is about 1045.9944533314.

It can be divided in two parts, 114 and 4427130, that added together give a palindrome (4427244).

The spelling of 1144427130 in words is "one billion, one hundred forty-four million, four hundred twenty-seven thousand, one hundred thirty".