Search a number
-
+
1134121144 = 231327431129
BaseRepresentation
bin100001110011001…
…0101000010111000
32221001001022201211
41003212111002320
54310313334034
6304312052504
740050604432
oct10346250270
92831038654
101134121144
11532200002
12277994134
13150c69700
14aa8a1652
1569875d64
hex439950b8

1134121144 has 48 divisors (see below), whose sum is σ = 2307776400. Its totient is φ = 522273024.

The previous prime is 1134121133. The next prime is 1134121169. The reversal of 1134121144 is 4411214311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1003972 + ... + 1005100.

It is an arithmetic number, because the mean of its divisors is an integer number (48078675).

Almost surely, 21134121144 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 1134121144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153888200).

1134121144 is an abundant number, since it is smaller than the sum of its proper divisors (1173655256).

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

1134121144 is a wasteful number, since it uses less digits than its factorization.

1134121144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1887 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 1134121144 is about 33676.7151604785. The cubic root of 1134121144 is about 1042.8451261624.

Adding to 1134121144 its reverse (4411214311), we get a palindrome (5545335455).

The spelling of 1134121144 in words is "one billion, one hundred thirty-four million, one hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 743 1129 1352 1486 2258 2972 4516 5944 9032 9659 14677 19318 29354 38636 58708 77272 117416 125567 190801 251134 381602 502268 763204 838847 1004536 1526408 1677694 3355388 6710776 10905011 21810022 43620044 87240088 141765143 283530286 567060572 1134121144