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1143045144 = 2332313713841
BaseRepresentation
bin100010000100001…
…0111110000011000
32221122211201011100
41010020113300120
54320104421034
6305231231400
740216503063
oct10410276030
92848751140
101143045144
1153724580a
1227a978560
13152a72597
14abb458da
156a53a099
hex44217c18

1143045144 has 96 divisors (see below), whose sum is σ = 3282215040. Its totient is φ = 358732800.

The previous prime is 1143045143. The next prime is 1143045193. The reversal of 1143045144 is 4415403411.

1143045144 is a `hidden beast` number, since 1 + 143 + 0 + 4 + 514 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143045143) 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, 75664 + ... + 89504.

It is an arithmetic number, because the mean of its divisors is an integer number (34189740).

Almost surely, 21143045144 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 1143045144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641107520).

1143045144 is an abundant number, since it is smaller than the sum of its proper divisors (2139169896).

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

1143045144 is a wasteful number, since it uses less digits than its factorization.

1143045144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13921 (or 13914 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1143045144 is about 33808.9506491994. The cubic root of 1143045144 is about 1045.5732434774.

Adding to 1143045144 its reverse (4415403411), we get a palindrome (5558448555).

The spelling of 1143045144 in words is "one billion, one hundred forty-three million, forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 37 62 72 74 93 111 124 148 186 222 248 279 296 333 372 444 558 666 744 888 1116 1147 1332 2232 2294 2664 3441 4588 6882 9176 10323 13764 13841 20646 27528 27682 41292 41523 55364 82584 83046 110728 124569 166092 249138 332184 429071 498276 512117 858142 996552 1024234 1287213 1536351 1716284 2048468 2574426 3072702 3432568 3861639 4096936 4609053 5148852 6145404 7723278 9218106 10297704 12290808 15446556 15875627 18436212 30893112 31751254 36872424 47626881 63502508 95253762 127005016 142880643 190507524 285761286 381015048 571522572 1143045144