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1143988164 = 2233113131063
BaseRepresentation
bin100010000101111…
…1101111111000100
32221201121121202000
41010023331333010
54320330110124
6305303345300
740230511314
oct10413757704
92851547660
101143988164
1153782a270
1227b152230
13153012897
14abd0d444
156a6746c9
hex442fdfc4

1143988164 has 96 divisors (see below), whose sum is σ = 3340001280. Its totient is φ = 335469600.

The previous prime is 1143988159. The next prime is 1143988169. The reversal of 1143988164 is 4618893411.

It is an interprime number because it is at equal distance from previous prime (1143988159) and next prime (1143988169).

It is not an unprimeable number, because it can be changed into a prime (1143988169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21297 + ... + 52359.

It is an arithmetic number, because the mean of its divisors is an integer number (34791680).

Almost surely, 21143988164 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 1143988164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670000640).

1143988164 is an abundant number, since it is smaller than the sum of its proper divisors (2196013116).

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

1143988164 is a wasteful number, since it uses less digits than its factorization.

1143988164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31118 (or 31110 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 1143988164 is about 33822.8940807850. The cubic root of 1143988164 is about 1045.8606994478.

The spelling of 1143988164 in words is "one billion, one hundred forty-three million, nine hundred eighty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 124 132 186 198 279 297 341 372 396 558 594 682 837 1023 1116 1188 1364 1674 2046 3069 3348 4092 6138 9207 12276 18414 31063 36828 62126 93189 124252 186378 279567 341693 372756 559134 683386 838701 962953 1025079 1118268 1366772 1677402 1925906 2050158 2888859 3075237 3354804 3851812 4100316 5777718 6150474 8666577 9225711 10592483 11555436 12300948 17333154 18451422 21184966 25999731 31777449 34666308 36902844 42369932 51999462 63554898 95332347 103998924 127109796 190664694 285997041 381329388 571994082 1143988164