13131914400
13,131,914,400 is an even composite number composed of six prime numbers multiplied together.
13131914400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 13131914400:
25 × 36 × 52 × 11 × 23 × 89
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 23 × 89)See below for interesting mathematical facts about the number 13131914400 from the Numbermatics database.
Names of 13131914400
- Cardinal: 13131914400 can be written as Thirteen billion, one hundred thirty-one million, nine hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.31319144 × 1010
Factors of 13131914400
Divisors of 13131914400
- Number of divisors d(n): 1008
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 23 24 25 27 30 32 33 36 40 44 45 46 48 50 54 55 60 66 69 72 75 80 81 88 89 90 92 96 99 100 108 110 115 120 132 135 138 144 150 160 162 165 176 178 180 184 198 200 207 216 220 225 230 240 243 253 264 267 270 275 276 288 297 300 324 330 345 352 356 360 368 396 400 405 414 432 440 445 450 460 480 486 495 506 528 534 540 550 552 575 594 600 621 648 660 675 690 712 720 729 736 759 792 800 801 810 825 828 864 880 890 891 900 920 972 979 990 1012 1035 1056 1068 1080 1100 1104 1150 1188 1200 1215 1242 1265 1296 1320 1335 1350 1380 1424 1440 1458 1485 1518 1584 1602 1620 1650 1656 1725 1760 1780 1782 1800 1840 1863 1944 1958 1980 2024 2025 2047 2070 2136 2160 2200 2208 2225 2277 2300 2376 2400 2403 2430 2475 2484 2530 2592 2640 2670 2673 2700 2760 2848 2916 2937 2970 3036 3105 3168 3204 3240 3300 3312 3450 3560 3564 3600 3645 3680 3726 3795 3888 3916 3960 4005 4048 4050 4094 4140 4272 4320 4400 4450 4455 4554 4600 4752 4806 4860 4895 4950 4968 5060 5175 5280 5340 5346 5400 5520 5589 5832 5874 5940 6072 6075 6141 6210 6325 6408 6480 6600 6624 6675 6831 6900 7120 7128 7200 7209 7290 7425 7452 7590 7776 7832 7920 8010 8019 8096 8100 8188 8280 8544 8800 8811 8900 8910 9108 9200 9315 9504 9612 9720 9790 9900 9936 10120 10235 10350 10680 10692 10800 11040 11178 11385 11664 11748 11880 12015 12144 12150 12282 12420 12650 12816 12960 13200 13350 13365 13662 13800 14240 14256 14418 14580 14685 14850 14904 15180 15525 15664 15840 16020 16038 16200 16376 16560 16767 17622 17800 17820 18216 18225 18400 18423 18630 18975 19224 19440 19580 19800 19872 20025 20240 20470 20493 20700 21360 21384 21600 21627 22275 22356 22517 22770 23328 23496 23760 24030 24288 24300 24475 24564 24840 25300 25632 26400 26433 26700 26730 27324 27600 27945 28512 28836 29160 29370 29700 29808 30360 30705 31050 31328 32040 32076 32400 32752 33120 33534 34155 35244 35600 35640 36045 36432 36450 36846 37260 37950 38448 38880 39160 39600 40050 40095 40480 40940 40986 41400 42720 42768 43254 44055 44550 44712 45034 45540 46575 46992 47520 48060 48600 48950 49128 49680 50600 51175 52866 53400 53460 54648 55200 55269 55890 56925 57672 58320 58740 59400 59616 60075 60720 61410 61479 62100 64080 64152 64800 64881 65504 66825 67068 67551 68310 70488 71200 71280 72090 72864 72900 73425 73692 74520 75900 76896 78320 79200 79299 80100 80190 81880 81972 82800 83835 85536 86508 88110 89100 89424 90068 91080 92115 93150 93984 96120 97200 97900 98256 99360 101200 102350 102465 105732 106800 106920 108135 109296 110538 111780 112585 113850 115344 116640 117480 118800 120150 121440 122820 122958 124200 128160 128304 129762 132165 133650 134136 135102 136620 139725 140976 142560 144180 145800 146850 147384 149040 151800 153525 156640 158598 160200 160380 163760 163944 165600 165807 167670 170775 173016 176220 178200 178848 180136 180225 182160 184230 184437 186300 192240 194400 195800 196512 200475 202400 202653 204700 204930 211464 213600 213840 216270 218592 220275 221076 223560 225170 227700 230688 234960 237600 237897 240300 245640 245916 248400 256608 259524 264330 267300 268272 270204 273240 276345 279450 281952 288360 291600 293700 294768 298080 303600 307050 307395 317196 320400 320760 324405 327520 327888 331614 335340 337755 341550 346032 352440 356400 360272 360450 364320 368460 368874 372600 384480 391600 396495 400950 405306 409400 409860 419175 422928 427680 432540 440550 442152 447120 450340 455400 460575 469920 475794 480600 491280 491832 496800 497421 512325 519048 528660 534600 536544 540408 540675 546480 552690 558900 562925 576720 583200 587400 589536 607200 607959 614100 614790 634392 640800 641520 648810 655776 660825 663228 670680 675510 683100 692064 704880 712800 713691 720544 720900 736920 737748 745200 783200 792990 801900 810612 818800 819720 829035 838350 845856 865080 881100 884304 894240 900680 910800 921150 922185 951588 961200 982560 983664 994842 1013265 1024650 1038096 1057320 1069200 1080816 1081350 1092960 1105380 1117800 1125850 1153440 1174800 1189485 1215918 1228200 1229580 1268784 1283040 1297620 1321650 1326456 1341360 1351020 1366200 1381725 1409760 1427382 1441800 1473840 1475496 1490400 1492263 1536975 1585980 1603800 1621224 1622025 1637600 1639440 1658070 1676700 1688775 1730160 1762200 1768608 1801360 1821600 1823877 1842300 1844370 1903176 1922400 1967328 1982475 1989684 2026530 2049300 2076192 2114640 2138400 2161632 2162700 2210760 2235600 2251700 2349600 2378970 2431836 2456400 2459160 2487105 2537568 2595240 2643300 2652912 2682720 2702040 2732400 2763450 2854764 2883600 2947680 2950992 2984526 3039795 3073950 3171960 3207600 3242448 3244050 3278880 3316140 3353400 3377550 3460320 3524400 3568455 3602720 3647754 3684600 3688740 3806352 3964950 3979368 4053060 4098600 4145175 4229280 4325400 4421520 4471200 4503400 4610925 4757940 4863672 4912800 4918320 4974210 5066325 5190480 5286600 5305824 5404080 5464800 5471631 5526900 5709528 5767200 5901984 5947425 5969052 6079590 6147900 6343920 6415200 6484896 6488100 6632280 6706800 6755100 7048800 7136910 7295508 7369200 7377480 7461315 7612704 7929900 7958736 8106120 8197200 8290350 8650800 8843040 9006800 9119385 9221850 9515880 9727344 9836640 9948420 10132650 10380960 10573200 10808160 10943262 11053800 11419056 11894850 11938104 12159180 12295800 12435525 12687840 12976200 13264560 13413600 13510200 14273820 14591016 14738400 14754960 14922630 15198975 15859800 15917472 16212240 16394400 16414893 16580700 17301600 17842275 18013600 18238770 18443700 19031760 19454688 19896840 20265300 21146400 21886524 22107600 22838112 23789700 23876208 24318360 24591600 24871050 25952400 26529120 27020400 27358155 28547640 29182032 29509920 29845260 30397950 31719600 32424480 32829786 33161400 35684550 36477540 36887400 37306575 38063520 39793680 40530600 43773048 44215200 45596925 47579400 47752416 48636720 49183200 49742100 51904800 54040800 54716310 57095280 58364064 59690520 60795900 63439200 65659572 66322800 71369100 72955080 73774800 74613150 79587360 81061200 82074465 87546096 91193850 95158800 97273440 99484200 109432620 114190560 119381040 121591800 131319144 132645600 136790775 142738200 145910160 147549600 149226300 162122400 164148930 175092192 182387700 190317600 198968400 218865240 238762080 243183600 262638288 273581550 285476400 291820320 298452600 328297860 364775400 397936800 410372325 437730480 486367200 525276576 547163100 570952800 596905200 656595720 729550800 820744650 875460960 1094326200 1193810400 1313191440 1459101600 1641489300 2188652400 2626382880 3282978600 4377304800 6565957200 13131914400
- Sum of all divisors σ(n): 55329583680
- Sum of proper divisors (its aliquot sum) s(n): 42197669280
- 13131914400 is an abundant number, because the sum of its proper divisors (42197669280) is greater than itself. Its abundance is 29065754880
Bases of 13131914400
- Binary: 11000011101011100100011100101000002
- Hexadecimal: 0x30EB91CA0
- Base-36: 616EI00
Squares and roots of 13131914400
- 13131914400 squared (131319144002) is 172447175808927360000
- 13131914400 cubed (131319144003) is 2264561551244584847337984000000
-
The
square root of 13131914400 is 114594.5653161615 -
The
cube root of 13131914400 is 2359.2611399581
Scales and comparisons
How big is 13131914400?- 13,131,914,400 seconds is equal to 417 years, 28 weeks, 5 days, 18 hours.
-
To count from 1 to 13,131,914,400 would take you about eight hundred thirty-five 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 13131914400 cubic inches would be around 196.6 feet tall.
Recreational maths with 13131914400
- 13131914400 backwards is 00441913131
- 13131914400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13131914400's digits is 27
- More coming soon!
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The information we have on file for 13131914400 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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