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12311143040 = 27574795737
BaseRepresentation
bin10110111011100110…
…10010001010000000
31011202222120212100202
423131303102022000
5200203123034130
65353342304332
7614036663210
oct133563221200
934688525322
1012311143040
115248356a89
122476b880a8
131212764531
1484b092240
154c0c31145
hex2ddcd2280

12311143040 has 128 divisors (see below), whose sum is σ = 33711897600. Its totient is φ = 4211417088.

The previous prime is 12311143027. The next prime is 12311143049. The reversal of 12311143040 is 4034111321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12311143049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2143052 + ... + 2148788.

It is an arithmetic number, because the mean of its divisors is an integer number (263374200).

Almost surely, 212311143040 is an apocalyptic number.

12311143040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12311143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16855948800).

12311143040 is an abundant number, since it is smaller than the sum of its proper divisors (21400754560).

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

12311143040 is an equidigital number, since it uses as much as digits as its factorization.

12311143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6242 (or 6230 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12311143040 its reverse (4034111321), we get a palindrome (16345254361).

The spelling of 12311143040 in words is "twelve billion, three hundred eleven million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 479 560 640 896 958 1120 1916 2240 2395 3353 3832 4480 4790 5737 6706 7664 9580 11474 13412 15328 16765 19160 22948 26824 28685 30656 33530 38320 40159 45896 53648 57370 61312 67060 76640 80318 91792 107296 114740 134120 153280 160636 183584 200795 214592 229480 268240 306560 321272 367168 401590 429184 458960 536480 642544 734336 803180 917920 1072960 1285088 1606360 1835840 2145920 2570176 2748023 3212720 3671680 5140352 5496046 6425440 10992092 12850880 13740115 19236161 21984184 25701760 27480230 38472322 43968368 54960460 76944644 87936736 96180805 109920920 153889288 175873472 192361610 219841840 307778576 351746944 384723220 439683680 615557152 769446440 879367360 1231114304 1538892880 1758734720 2462228608 3077785760 6155571520 12311143040