13485584972160
13,485,584,972,160 is an even composite number composed of six prime numbers multiplied together.
13485584972160 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 13485584972160:
27 × 34 × 5 × 72 × 307 × 17293
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 307 × 17293)See below for interesting mathematical facts about the number 13485584972160 from the Numbermatics database.
Names of 13485584972160
- Cardinal: 13485584972160 can be written as Thirteen trillion, four hundred eighty-five billion, five hundred eighty-four million, nine hundred seventy-two thousand, one hundred sixty.
Scientific notation
- Scientific notation: 1.348558497216 × 1013
Factors of 13485584972160
Divisors of 13485584972160
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 49 54 56 60 63 64 70 72 80 81 84 90 96 98 105 108 112 120 126 128 135 140 144 147 160 162 168 180 189 192 196 210 216 224 240 245 252 270 280 288 294 307 315 320 324 336 360 378 384 392 405 420 432 441 448 480 490 504 540 560 567 576 588 614 630 640 648 672 720 735 756 784 810 840 864 882 896 921 945 960 980 1008 1080 1120 1134 1152 1176 1228 1260 1296 1323 1344 1440 1470 1512 1535 1568 1620 1680 1728 1764 1842 1890 1920 1960 2016 2149 2160 2205 2240 2268 2352 2456 2520 2592 2646 2688 2763 2835 2880 2940 3024 3070 3136 3240 3360 3456 3528 3684 3780 3920 3969 4032 4298 4320 4410 4480 4536 4605 4704 4912 5040 5184 5292 5526 5670 5760 5880 6048 6140 6272 6447 6480 6615 6720 7056 7368 7560 7840 7938 8064 8289 8596 8640 8820 9072 9210 9408 9824 10080 10368 10584 10745 11052 11340 11760 12096 12280 12894 12960 13230 13440 13815 14112 14736 15043 15120 15680 15876 16578 17192 17280 17293 17640 18144 18420 18816 19341 19648 19845 20160 21168 21490 22104 22680 23520 24192 24560 24867 25788 25920 26460 27630 28224 29472 30086 30240 31360 31752 32235 33156 34384 34586 35280 36288 36840 38682 39296 39690 40320 41445 42336 42980 44208 45129 45360 47040 49120 49734 51576 51840 51879 52920 55260 56448 58023 58944 60172 60480 63504 64470 66312 68768 69172 70560 72576 73680 75215 77364 79380 82890 84672 85960 86465 88416 90258 90720 94080 96705 98240 99468 103152 103758 105840 110520 116046 117888 120344 120960 121051 124335 127008 128940 132624 135387 137536 138344 141120 147360 150430 154728 155637 158760 165780 169344 171920 172930 174069 176832 180516 181440 193410 196480 198936 206304 207516 211680 221040 225645 232092 240688 242102 248670 254016 257880 259395 265248 270774 275072 276688 282240 290115 294720 300860 309456 311274 317520 331560 343840 345860 348138 353664 361032 362880 363153 386820 397872 406161 412608 415032 423360 442080 451290 464184 466911 481376 484204 497340 508032 515760 518790 530496 541548 553376 580230 589440 601720 605255 618912 622548 635040 663120 676935 687680 691720 696276 722064 726306 773640 778185 795744 812322 825216 830064 846720 847357 870345 884160 902580 928368 933822 962752 968408 994680 1031520 1037580 1060992 1083096 1089459 1106752 1160460 1203440 1210510 1218483 1237824 1245096 1270080 1326240 1353870 1375360 1383440 1392552 1400733 1444128 1452612 1547280 1556370 1591488 1624644 1660128 1694714 1740690 1768320 1805160 1815765 1856736 1867644 1925504 1936816 1989360 2030805 2063040 2075160 2166192 2178918 2213504 2320920 2334555 2406880 2421020 2436966 2475648 2490192 2540160 2542071 2652480 2707740 2766880 2785104 2801466 2888256 2905224 3094560 3112740 3182976 3249288 3268377 3320256 3389428 3481380 3610320 3631530 3713472 3735288 3873632 3978720 4061610 4126080 4150320 4236785 4332384 4357836 4641840 4669110 4813760 4842040 4873932 4980384 5084142 5304960 5308951 5415480 5447295 5533760 5570208 5602932 5776512 5810448 6092415 6189120 6225480 6498576 6536754 6640512 6778856 6962760 7003665 7220640 7263060 7426944 7470576 7626213 7747264 7957440 8123220 8300640 8473570 8664768 8715672 9283680 9338220 9627520 9684080 9747864 9805131 9960768 10168284 10617902 10830960 10894590 11067520 11140416 11205864 11620896 12184830 12378240 12450960 12710355 12997152 13073508 13557712 13925520 14007330 14441280 14526120 14941152 15252426 15494528 15914880 15926853 16246440 16341885 16601280 16947140 17329536 17431344 18567360 18676440 19368160 19495728 19610262 19921536 20336568 21235804 21661920 21789180 22280832 22411728 22878639 23241792 24369660 24901920 25420710 25994304 26147016 26544755 27115424 27851040 28014660 28882560 29052240 29882304 30504852 31853706 32492880 32683770 33202560 33894280 34862688 37134720 37162657 37352880 38131065 38736320 38991456 39220524 40673136 42471608 43323840 43578360 44823456 45757278 46483584 47780559 48739320 49025655 49803840 50841420 51988608 52294032 53089510 54230848 55702080 56029320 58104480 59764608 61009704 63707412 64985760 65367540 67788560 68635917 69725376 74325314 74705760 76262130 77472640 77982912 78441048 79634265 81346272 84943216 86647680 87156720 89646912 91514556 95561118 97478640 98051310 99607680 101682840 104588064 106179020 108461696 111404160 111487971 112058640 114393195 116208960 122019408 127414824 129971520 130735080 135577120 137271834 139450752 143341677 148650628 149411520 152524260 155965824 156882096 159268530 162692544 169886432 174313440 179293824 183029112 185813285 191122236 194957280 196102620 203365680 209176128 212358040 222975942 224117280 228786390 232417920 238902795 244038816 254829648 259943040 260138599 261470160 271154240 274543668 286683354 297301256 298823040 305048520 313764192 318537060 325385088 334463913 339772864 343179585 348626880 366058224 371626570 382244472 389914560 392205240 406731360 418352256 424716080 430025031 445951884 448234560 457572780 477805590 488077632 509659296 520277198 522940320 542308480 549087336 557439855 573366708 594602512 610097040 627528384 637074120 668927826 679545728 686359170 697253760 716708385 732116448 743253140 764488944 779829120 780415797 784410480 813462720 849432160 860050062 891903768 896469120 915145560 955611180 976155264 1003391739 1019318592 1040554396 1045880640 1098174672 1114879710 1146733416 1189205024 1220194080 1255056768 1274148240 1300692995 1337855652 1372718340 1433416770 1464232896 1486506280 1528977888 1560831594 1568820960 1626925440 1672319565 1698864320 1720100124 1783807536 1830291120 1911222360 2006783478 2038637184 2081108792 2091761280 2150125155 2196349344 2229759420 2293466832 2341247391 2378410048 2440388160 2548296480 2601385990 2675711304 2745436680 2866833540 2928465792 2973012560 3010175217 3057955776 3121663188 3137641920 3344639130 3397728640 3440200248 3567615072 3660582240 3822444720 3902078985 4013566956 4162217584 4300250310 4392698688 4459518840 4586933664 4682494782 4756820096 4880776320 5016958695 5096592960 5202771980 5351422608 5490873360 5733667080 5946025120 6020350434 6115911552 6243326376 6275283840 6689278260 6880400496 7023742173 7135230144 7321164480 7644889440 7804157970 8027133912 8324435168 8600500620 8785397376 8919037680 9173867328 9364989564 10033917390 10193185920 10405543960 10702845216 10981746720 11467334160 11706236955 11892050240 12040700868 12486652752 13378556520 13760800992 14047484346 14270460288 14642328960 15050876085 15289778880 15608315940 16054267824 16648870336 17201001240 17838075360 18347734656 18729979128 20067834780 20811087920 21071226519 21405690432 21963493440 22934668320 23412473910 23784100480 24081401736 24973305504 26757113040 27521601984 28094968692 30101752170 30579557760 31216631880 32108535648 33297740672 34402002480 35118710865 35676150720 37459958256 40135669560 41622175840 42142453038 42811380864 43926986880 45869336640 46824947820 48162803472 49946611008 53514226080 55043203968 56189937384 60203504340 62433263760 64217071296 68804004960 70237421730 71352301440 74919916512 80271339120 83244351680 84284906076 91738673280 93649895640 96325606944 99893222016 105356132595 107028452160 112379874768 120407008680 124866527520 128434142592 137608009920 140474843460 149839833024 160542678240 166488703360 168569812152 187299791280 192651213888 210712265190 214056904320 224759749536 240814017360 249733055040 275216019840 280949686920 299679666048 321085356480 337139624304 374599582560 385302427776 421424530380 449519499072 481628034720 499466110080 561899373840 642170712960 674279248608 749199165120 842849060760 899038998144 963256069440 1123798747680 1348558497216 1498398330240 1685698121520 1926512138880 2247597495360 2697116994432 3371396243040 4495194990720 6742792486080 13485584972160
- Sum of all divisors σ(n): 56207960590320
- Sum of proper divisors (its aliquot sum) s(n): 42722375618160
- 13485584972160 is an abundant number, because the sum of its proper divisors (42722375618160) is greater than itself. Its abundance is 29236790646000
Bases of 13485584972160
- Binary: 110001000011110110111000000001111001100000002
- Hexadecimal: 0xC43DB807980
- Base-36: 4S36X3S00
Squares and roots of 13485584972160
- 13485584972160 squared (134855849721602) is 181861002041347627975065600
- 13485584972160 cubed (134855849721603) is 2452501996150756654775007066550173696000
-
The
square root of 13485584972160 is 3672272.4534217229 -
The
cube root of 13485584972160 is 23802.5377870571
Scales and comparisons
How big is 13485584972160?- 13,485,584,972,160 seconds is equal to 428,799 years, 46 weeks, 1 day, 9 hours, 36 minutes.
-
To count from 1 to 13,485,584,972,160 would take you about one million, seventy-one thousand, nine hundred ninety-nine 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 13485584972160 cubic inches would be around 1983.5 feet tall.
Recreational maths with 13485584972160
- 13485584972160 backwards is 06127948558431
- 13485584972160 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13485584972160's digits is 63
- More coming soon!
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The information we have on file for 13485584972160 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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