13728363362373240
13,728,363,362,373,240 is an even composite number composed of six prime numbers multiplied together.
13728363362373240 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 13728363362373240:
23 × 33 × 5 × 74 × 1792 × 165233
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 7 × 7 × 179 × 179 × 165233)See below for interesting mathematical facts about the number 13728363362373240 from the Numbermatics database.
Names of 13728363362373240
- Cardinal: 13728363362373240 can be written as Thirteen quadrillion, seven hundred twenty-eight trillion, three hundred sixty-three billion, three hundred sixty-two million, three hundred seventy-three thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.372836336237324 × 1016
Factors of 13728363362373240
Divisors of 13728363362373240
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 49 54 56 60 63 70 72 84 90 98 105 108 120 126 135 140 147 168 179 180 189 196 210 216 245 252 270 280 294 315 343 358 360 378 392 420 441 490 504 537 540 588 630 686 716 735 756 840 882 895 945 980 1029 1074 1080 1176 1253 1260 1323 1372 1432 1470 1512 1611 1715 1764 1790 1890 1960 2058 2148 2205 2401 2506 2520 2646 2685 2744 2940 3087 3222 3430 3528 3580 3759 3780 4116 4296 4410 4802 4833 5012 5145 5292 5370 5880 6174 6265 6444 6615 6860 7160 7203 7518 7560 8055 8232 8771 8820 9261 9604 9666 10024 10290 10584 10740 11277 12005 12348 12530 12888 13230 13720 14406 15036 15435 16110 17542 17640 18522 18795 19208 19332 20580 21480 21609 22554 24010 24165 24696 25060 26313 26460 28812 30072 30870 32041 32220 33831 35084 36015 37044 37590 38664 41160 43218 43855 45108 46305 48020 48330 50120 52626 52920 56385 57624 61397 61740 64082 64440 64827 67662 70168 72030 74088 75180 78939 86436 87710 90216 92610 96040 96123 96660 105252 108045 112770 122794 123480 128164 129654 131565 135324 144060 150360 157878 160205 165233 169155 172872 175420 184191 185220 192246 193320 210504 216090 224287 225540 236817 245588 256328 259308 263130 270648 288120 288369 306985 315756 320410 324135 330466 338310 350840 368382 370440 384492 394695 429779 432180 448574 451080 473634 480615 491176 495699 518616 526260 552573 576738 613970 631512 640820 648270 660932 672861 676620 736764 768984 789390 826165 859558 864360 865107 897148 920955 947268 961230 991398 1052520 1105146 1121435 1153476 1156631 1184085 1227940 1281640 1289337 1296540 1321864 1345722 1353240 1441845 1473528 1487097 1570009 1578780 1652330 1657719 1719116 1730214 1794296 1841910 1894536 1922460 1982796 2018583 2148895 2210292 2242870 2306952 2313262 2368170 2455880 2478495 2578674 2593080 2691444 2762865 2883690 2974194 3140018 3157560 3304660 3315438 3364305 3438232 3460428 3469893 3683820 3844920 3868011 3965592 4037166 4297790 4325535 4420584 4461291 4485740 4626524 4710027 4736340 4956990 5157348 5382888 5525730 5767380 5783155 5948388 6055749 6280036 6446685 6609320 6630876 6728610 6920856 6939786 7367640 7435485 7736022 7850045 8074332 8096417 8288595 8595580 8651070 8922582 8971480 9253048 9420054 9472680 9913980 10092915 10314696 10409679 10990063 11051460 11534760 11566310 11604033 11896776 12111498 12560072 12893370 13261752 13457220 13879572 14130081 14870970 15472044 15700090 16148664 16192834 16577190 17191160 17302140 17349465 17845164 18840108 19340055 19827960 20185830 20819358 21980126 22102920 22306455 23132620 23208066 23550135 24222996 24289251 25786740 26914440 27759144 28260162 29576707 29741940 30278745 30944088 31229037 31400180 32385668 32970189 33154380 34604280 34698930 35690328 37680216 38680110 40371660 40482085 41638716 42390243 43960252 44612910 46265240 46416132 47100270 48445992 48578502 51573480 52048395 54950315 56520324 56674919 58020165 59153414 59483880 60557490 62458074 62800360 64771336 65940378 66308760 69397860 70650405 72867753 76930441 77360220 80743320 80964170 83277432 84780486 87920504 88730121 89225820 92832264 94200540 97157004 98910567 104096790 109900630 113040648 113349838 116040330 118306828 121114980 121446255 124916148 131880756 138795720 141300810 145735506 147883535 153860882 154720440 156145185 161928340 164850945 169560972 170024757 177460242 178451640 188401080 194314008 197821134 207036949 208193580 211951215 218603259 219801260 226699676 230791323 232080660 236613656 242229960 242892510 249832296 263761512 266190363 282601620 283374595 291471012 295767070 296731701 307721764 312290370 323856680 329701890 339121944 340049514 354920484 364338765 384652205 395642268 396724433 414073898 416387160 423902430 437206518 439602520 443650605 453399352 461582646 464161320 485785020 494552835 510074271 532380726 565203240 566749190 582942024 591534140 593463402 615443528 621110847 624580740 659403780 680099028 692373969 709840968 728677530 769304410 791284536 793448866 798571089 828147796 847804860 850123785 874413036 887301210 923165292 971570040 989105670 1020148542 1035184745 1064761452 1093016295 1133498380 1153956615 1183068280 1186926804 1190173299 1242221694 1249161480 1318807560 1330951815 1360198056 1384747938 1449258643 1457355060 1483658505 1530222813 1538608820 1586897732 1597142178 1656295592 1695609720 1700247570 1748826072 1774602420 1846330584 1863332541 1978211340 1983622165 2040297084 2070369490 2077121907 2129522904 2186032590 2266996760 2307913230 2373853608 2380346598 2484443388 2550371355 2661903630 2769495876 2898517286 2914710120 2967317010 3060445626 3077217640 3105554235 3173795464 3194284356 3400495140 3461869845 3549204840 3570519897 3726665082 3956422680 3967244330 3992855445 4080594168 4140738980 4154243814 4347775929 4372065180 4615826460 4760693196 4968886776 5100742710 5294230553 5323807260 5538991752 5589997623 5797034572 5934634020 5950866495 6120891252 6211108470 6388568712 6800990280 6923739690 7141039794 7246293215 7453330164 7651114065 7934488660 7985710890 8281477960 8308487628 8695551858 8744130360 9231652920 9316662705 9521386392 10144810501 10201485420 10385609535 10588461106 10647614520 10711559691 11179995246 11594069144 11869268040 11901732990 12241782504 12422216940 13043327787 13847479380 14282079588 14492586430 14906660328 15302228130 15868977320 15882691659 15971421780 16616975256 17391103716 17852599485 18633325410 20289621002 20402970840 20771219070 21176922212 21423119382 21738879645 22359990492 23803465980 24844433880 26086655574 26471152765 27694958760 27949988115 28564159176 28985172860 30434431503 30604456260 31765383318 31942843560 34782207432 35705198970 37059613871 37266650820 39129983361 40579242004 41542438140 42353844424 42846238764 43477759290 44719980984 47606931960 47648074977 50724052505 52173311148 52942305530 53557798455 55899976230 57970345720 60868863006 61208912520 63530766636 65216638935 71013673507 71410397940 74119227742 74533301640 78259966722 79413458295 81158484008 83084876280 85692477528 86955518580 91303294509 95296149954 101448105010 104346622296 105884611060 107115596910 111178841613 111799952460 121737726012 127061533272 130433277870 142027347014 142820795880 142944224931 148238455484 152172157515 156519933444 158826916590 173911037160 182606589018 185298069355 190592299908 195649916805 202896210020 211769222120 213041020521 214231193820 222357683226 223599904920 238240374885 243475452024 259417297097 260866555740 273909883527 284054694028 285888449862 296476910968 304344315030 313039866888 317653833180 333536524839 355068367535 365213178036 370596138710 381184599816 391299833610 405792420040 426082041042 428462387640 444715366452 456516472545 476480749770 518834594194 521733111480 547819767054 555894208065 568109388056 571776899724 608688630060 635307666360 639123061563 667073049678 710136735070 714721124655 730426356072 741192277420 778251891291 782599667220 852164082084 889430732904 913032945090 952961499540 1000609574517 1037669188388 1065205102605 1095639534108 1111788416130 1143553799448 1217377260120 1278246123126 1297086485485 1334146099356 1369549417635 1420273470140 1429442249310 1482384554840 1556503782582 1565199334440 1667682624195 1704328164168 1815921079679 1826065890180 1905922999080 1917369184689 2001219149034 2075338376776 2130410205210 2191279068216 2223576832260 2334755673873 2556492246252 2594172970970 2668292198712 2739098835270 2840546940280 2858884498620 3113007565164 3195615307815 3335365248390 3631842159358 3652131780360 3834738369378 3891259456455 4002438298068 4260820410420 4447153664520 4669511347746 5003047872585 5112984492504 5188345941940 5447763239037 5478197670540 5717768997240 6226015130328 6391230615630 6670730496780 7004267021619 7263684318716 7669476738756 7782518912910 8004876596136 8521640820840 9079605398395 9339022695492 9586845923445 10006095745170 10376691883880 10895526478074 10956395341080 11673778369365 12711447557753 12782461231260 13341460993560 14008534043238 14527368637432 15338953477512 15565037825820 16343289717111 18159210796790 18678045390984 19173691846890 20012191490340 21791052956148 23347556738730 25422895115506 25564922462520 27238816195185 28017068086476 31130075651640 32686579434222 35021335108095 36318421593580 38134342673259 38347383693780 40024382980680 43582105912296 46695113477460 49029869151333 50845790231012 54477632390370 56034136172952 63557237788765 65373158868444 70042670216190 72636843187160 76268685346518 76694767387560 81716448585555 93390226954920 98059738302666 101691580462024 108955264780740 114403028019777 127114475577530 130746317736888 140085340432380 152537370693036 163432897171110 190671713366295 196119476605332 217910529561480 228806056039554 245149345756665 254228951155060 280170680864760 305074741386072 326865794342220 343209084059331 381343426732590 392238953210664 457612112079108 490298691513330 508457902310120 572015140098885 653731588684440 686418168118662 762686853465180 915224224158216 980597383026660 1144030280197770 1372836336237324 1525373706930360 1716045420296655 1961194766053320 2288060560395540 2745672672474648 3432090840593310 4576121120791080 6864181681186620 13728363362373240
- Sum of all divisors σ(n): 53685133934090400
- Sum of proper divisors (its aliquot sum) s(n): 39956770571717160
- 13728363362373240 is an abundant number, because the sum of its proper divisors (39956770571717160) is greater than itself. Its abundance is 26228407209343920
Bases of 13728363362373240
- Binary: 1100001100010111011111101011011000111111001110011110002
- Hexadecimal: 0x30C5DFAD8FCE78
- Base-36: 3R6AR2A4A60
Squares and roots of 13728363362373240
- 13728363362373240 squared (137283633623732402) is 188467960609351891726605068097600
- 13728363362373240 cubed (137283633623732403) is 2587356645410629486562750437582644955747948224000
-
The
square root of 13728363362373240 is 117168098.7401145807 -
The
cube root of 13728363362373240 is 239445.2660163817
Scales and comparisons
How big is 13728363362373240?- 13,728,363,362,373,240 seconds is equal to 436,519,490 years, 15 weeks, 6 days, 21 hours, 54 minutes.
-
To count from 1 to 13,728,363,362,373,240 would take you about one billion, three hundred nine million, five hundred fifty-eight thousand, four hundred seventy 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 13728363362373240 cubic inches would be around 19953.8 feet tall.
Recreational maths with 13728363362373240
- 13728363362373240 backwards is 04237326336382731
- 13728363362373240 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13728363362373240's digits is 63
- More coming soon!
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The information we have on file for 13728363362373240 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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