13688668936800000
13,688,668,936,800,000 is an even composite number composed of seven prime numbers multiplied together.
13688668936800000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six thousand, four hundred eighty divisors.
Prime factorization of 13688668936800000:
28 × 34 × 55 × 11 × 13 × 612 × 397
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 11 × 13 × 61 × 61 × 397)See below for interesting mathematical facts about the number 13688668936800000 from the Numbermatics database.
Names of 13688668936800000
- Cardinal: 13688668936800000 can be written as Thirteen quadrillion, six hundred eighty-eight trillion, six hundred sixty-eight billion, nine hundred thirty-six million, eight hundred thousand.
Scientific notation
- Scientific notation: 1.36886689368 × 1016
Factors of 13688668936800000
Divisors of 13688668936800000
- Number of divisors d(n): 6480
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 27 30 32 33 36 39 40 44 45 48 50 52 54 55 60 61 64 65 66 72 75 78 80 81 88 90 96 99 100 104 108 110 117 120 122 125 128 130 132 135 143 144 150 156 160 162 165 176 180 183 192 195 198 200 208 216 220 225 234 240 244 250 256 260 264 270 275 286 288 297 300 305 312 320 324 325 330 351 352 360 366 375 384 390 396 397 400 405 416 429 432 440 450 468 480 488 495 500 520 528 540 549 550 572 576 585 594 600 610 624 625 640 648 650 660 671 675 702 704 715 720 732 750 768 780 792 793 794 800 810 825 832 858 864 880 891 900 915 936 960 975 976 990 1000 1040 1053 1056 1080 1098 1100 1125 1144 1152 1170 1188 1191 1200 1220 1248 1250 1280 1287 1296 1300 1320 1342 1350 1375 1404 1408 1430 1440 1464 1485 1500 1525 1560 1584 1586 1588 1600 1620 1625 1647 1650 1664 1716 1728 1755 1760 1782 1800 1830 1872 1875 1920 1950 1952 1980 1985 2000 2013 2025 2080 2106 2112 2145 2160 2196 2200 2250 2288 2304 2340 2376 2379 2382 2400 2440 2475 2496 2500 2574 2592 2600 2640 2684 2700 2745 2750 2808 2816 2860 2880 2925 2928 2970 3000 3050 3120 3125 3168 3172 3176 3200 3240 3250 3294 3300 3328 3355 3375 3432 3456 3510 3520 3564 3573 3575 3600 3660 3721 3744 3750 3840 3861 3900 3904 3960 3965 3970 4000 4026 4050 4125 4160 4212 4224 4290 4320 4367 4392 4400 4455 4500 4575 4576 4680 4752 4758 4764 4800 4875 4880 4941 4950 4992 5000 5148 5161 5184 5200 5265 5280 5368 5400 5490 5500 5616 5625 5720 5760 5850 5856 5940 5955 6000 6039 6100 6240 6250 6336 6344 6352 6400 6435 6480 6500 6588 6600 6710 6750 6864 6875 6912 7020 7040 7128 7137 7146 7150 7200 7320 7425 7442 7488 7500 7625 7722 7800 7808 7920 7930 7940 8000 8052 8100 8125 8235 8250 8320 8424 8448 8580 8640 8723 8734 8775 8784 8800 8910 9000 9150 9152 9360 9375 9504 9516 9528 9600 9750 9760 9882 9900 9925 9984 10000 10065 10125 10296 10322 10368 10400 10530 10560 10719 10725 10736 10800 10980 11000 11163 11232 11250 11440 11520 11583 11700 11712 11880 11895 11910 12000 12078 12200 12375 12480 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76048160760000 77776528050000 82961629920000 84497956400000 85554180855000 87747877800000 91257792912000 95060200950000 95724957600000 101397547680000 103702037400000 105297453360000 106942726068750 109509351494400 112202204400000 114072241140000 116997170400000 124442444880000 126746934600000 131621816700000 136886689368000 138269383200000 142590301425000 152096321520000 155553056100000 168995912800000 171108361710000 175495755600000 182515585824000 190120401900000 207404074800000 210594906720000 213885452137500 224404408800000 228144482280000 248884889760000 253493869200000 263243633400000 273773378736000 285180602850000 304192643040000 311106112200000 342216723420000 350991511200000 380240803800000 414808149600000 427770904275000 456288964560000 506987738400000 526487266800000 547546757472000 570361205700000 622212224400000 684433446840000 760481607600000 855541808550000 912577929120000 1052974533600000 1140722411400000 1244424448800000 1368866893680000 1520963215200000 1711083617100000 2281444822800000 2737733787360000 3422167234200000 4562889645600000 6844334468400000 13688668936800000
- Sum of all divisors σ(n): 61089589170241632
- Sum of proper divisors (its aliquot sum) s(n): 47400920233441632
- 13688668936800000 is an abundant number, because the sum of its proper divisors (47400920233441632) is greater than itself. Its abundance is 33712251296641632
Bases of 13688668936800000
- Binary: 1100001010000111000101100110010110110100000111000000002
- Hexadecimal: 0x30A1C5996D0700
- Base-36: 3QS87P20G00
Squares and roots of 13688668936800000
- 13688668936800000 squared (136886689368000002) is 187379657261313242394240000000000
- 13688668936800000 cubed (136886689368000003) is 2564978093741169141536521947244032000000000000000
-
The
square root of 13688668936800000 is 116998585.1914457983 -
The
cube root of 13688668936800000 is 239214.2645145565
Scales and comparisons
How big is 13688668936800000?- 13,688,668,936,800,000 seconds is equal to 435,257,330 years, 18 weeks, 4 days.
-
To count from 1 to 13,688,668,936,800,000 would take you about one billion, three hundred five million, seven hundred seventy-one thousand, nine hundred ninety-one years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 13688668936800000 cubic inches would be around 19934.5 feet tall.
Recreational maths with 13688668936800000
- 13688668936800000 backwards is 00000863986688631
- 13688668936800000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13688668936800000's digits is 72
- More coming soon!
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The information we have on file for 13688668936800000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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