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1144460058 = 237475310939
BaseRepresentation
bin100010000110111…
…0001001100011010
32221202111121001120
41010031301030122
54320440210213
6305321430110
740234515150
oct10415611432
92852447046
101144460058
11538021865
1227b33b336
13153149601
14abdd33d0
156a719423
hex4437131a

1144460058 has 64 divisors (see below), whose sum is σ = 2722222080. Its totient is φ = 313964352.

The previous prime is 1144460047. The next prime is 1144460063. The reversal of 1144460058 is 8500644411.

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 31 ways as a sum of consecutive naturals, for example, 99153 + ... + 110091.

It is an arithmetic number, because the mean of its divisors is an integer number (42534720).

Almost surely, 21144460058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144460058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361111040).

1144460058 is an abundant number, since it is smaller than the sum of its proper divisors (1577762022).

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

1144460058 is a wasteful number, since it uses less digits than its factorization.

1144460058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11051.

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 1144460058 is about 33829.8693169217. The cubic root of 1144460058 is about 1046.0044851847.

The spelling of 1144460058 in words is "one billion, one hundred forty-four million, four hundred sixty thousand, fifty-eight".

Divisors: 1 2 3 6 7 14 21 42 47 53 94 106 141 159 282 318 329 371 658 742 987 1113 1974 2226 2491 4982 7473 10939 14946 17437 21878 32817 34874 52311 65634 76573 104622 153146 229719 459438 514133 579767 1028266 1159534 1542399 1739301 3084798 3478602 3598931 4058369 7197862 8116738 10796793 12175107 21593586 24350214 27249049 54498098 81747147 163494294 190743343 381486686 572230029 1144460058