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1144085166 = 232759672297
BaseRepresentation
bin100010000110001…
…0101101010101110
32221201210112210200
41010030111222232
54320341211131
6305305414330
740231364160
oct10414255256
92851715720
101144085166
11537896134
1227b19a3a6
13153047a93
14abd36930
156a6932e6
hex44315aae

1144085166 has 96 divisors (see below), whose sum is σ = 2925262080. Its totient is φ = 316407168.

The previous prime is 1144085161. The next prime is 1144085167. The reversal of 1144085166 is 6615804411.

It is a super-2 number, since 2×11440851662 = 2617861734122495112, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1144085166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144085161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 496930 + ... + 499226.

It is an arithmetic number, because the mean of its divisors is an integer number (30471480).

Almost surely, 21144085166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144085166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462631040).

1144085166 is an abundant number, since it is smaller than the sum of its proper divisors (1781176914).

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

1144085166 is a wasteful number, since it uses less digits than its factorization.

1144085166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1144085166 is about 33824.3280199326. The cubic root of 1144085166 is about 1045.8902591103.

Adding to 1144085166 its reverse (6615804411), we get a palindrome (7759889577).

The spelling of 1144085166 in words is "one billion, one hundred forty-four million, eighty-five thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 59 63 67 118 126 134 177 201 354 402 413 469 531 603 826 938 1062 1206 1239 1407 2297 2478 2814 3717 3953 4221 4594 6891 7434 7906 8442 11859 13782 16079 20673 23718 27671 32158 35577 41346 48237 55342 71154 83013 96474 135523 144711 153899 166026 249039 271046 289422 307798 406569 461697 498078 813138 923394 948661 1077293 1219707 1385091 1897322 2154586 2439414 2770182 2845983 3231879 5691966 6463758 8537949 9080041 9695637 17075898 18160082 19391274 27240123 54480246 63560287 81720369 127120574 163440738 190680861 381361722 572042583 1144085166