Search a number
-
+
1144791126 = 232314743651
BaseRepresentation
bin100010000111100…
…0010000001010110
32221210010102012100
41010033002001112
54321031304001
6305332502530
740240364313
oct10417020126
92853112170
101144791126
11538228576
1227b47aa46
131532341cb
14ac07bd0a
156a782586
hex443c2056

1144791126 has 48 divisors (see below), whose sum is σ = 2614929408. Its totient is φ = 361422000.

The previous prime is 1144791083. The next prime is 1144791127. The reversal of 1144791126 is 6211974411.

1144791126 is a `hidden beast` number, since 1 + 1 + 447 + 91 + 126 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144791127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4401 + ... + 48051.

It is an arithmetic number, because the mean of its divisors is an integer number (54477696).

Almost surely, 21144791126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144791126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307464704).

1144791126 is an abundant number, since it is smaller than the sum of its proper divisors (1470138282).

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

1144791126 is a wasteful number, since it uses less digits than its factorization.

1144791126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43737 (or 43734 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 1144791126 is about 33834.7620946269. The cubic root of 1144791126 is about 1046.1053377580.

The spelling of 1144791126 in words is "one billion, one hundred forty-four million, seven hundred ninety-one thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 31 47 62 93 94 141 186 279 282 423 558 846 1457 2914 4371 8742 13113 26226 43651 87302 130953 261906 392859 785718 1353181 2051597 2706362 4059543 4103194 6154791 8119086 12178629 12309582 18464373 24357258 36928746 63599507 127199014 190798521 381597042 572395563 1144791126