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12144131560 = 23511172370589
BaseRepresentation
bin10110100111101100…
…01011110111101000
31011100100022210200101
423103312023313220
5144332344202220
65325014515144
7606641262241
oct132366136750
934310283611
1012144131560
115172055870
12242b065ab4
1311b6c8a582
14832c19cc8
154b124130a
hex2d3d8bde8

12144131560 has 128 divisors (see below), whose sum is σ = 32934470400. Its totient is φ = 3975516160.

The previous prime is 12144131539. The next prime is 12144131569. The reversal of 12144131560 is 6513144121.

It is not an unprimeable number, because it can be changed into a prime (12144131569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136746 + ... + 207334.

It is an arithmetic number, because the mean of its divisors is an integer number (257300550).

Almost surely, 212144131560 is an apocalyptic number.

12144131560 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 12144131560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16467235200).

12144131560 is an abundant number, since it is smaller than the sum of its proper divisors (20790338840).

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

12144131560 is a wasteful number, since it uses less digits than its factorization.

12144131560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70651 (or 70647 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 12144131560 its reverse (6513144121), we get a palindrome (18657275681).

The spelling of 12144131560 in words is "twelve billion, one hundred forty-four million, one hundred thirty-one thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 17 20 22 23 34 40 44 46 55 68 85 88 92 110 115 136 170 184 187 220 230 253 340 374 391 440 460 506 680 748 782 920 935 1012 1265 1496 1564 1870 1955 2024 2530 3128 3740 3910 4301 5060 7480 7820 8602 10120 15640 17204 21505 34408 43010 70589 86020 141178 172040 282356 352945 564712 705890 776479 1200013 1411780 1552958 1623547 2400026 2823560 3105916 3247094 3882395 4800052 6000065 6211832 6494188 7764790 8117735 9600104 12000130 12988376 13200143 15529580 16235470 17859017 24000260 26400286 27600299 31059160 32470940 35718034 48000520 52800572 55200598 64941880 66000715 71436068 89295085 105601144 110401196 132001430 138001495 142872136 178590170 220802392 264002860 276002990 303603289 357180340 528005720 552005980 607206578 714360680 1104011960 1214413156 1518016445 2428826312 3036032890 6072065780 12144131560