13830993960960
13,830,993,960,960 is an even composite number composed of six prime numbers multiplied together.
13830993960960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 13830993960960:
213 × 3 × 5 × 11 × 233 × 292
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 23 × 23 × 23 × 29 × 29)See below for interesting mathematical facts about the number 13830993960960 from the Numbermatics database.
Names of 13830993960960
- Cardinal: 13830993960960 can be written as Thirteen trillion, eight hundred thirty billion, nine hundred ninety-three million, nine hundred sixty thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.383099396096 × 1013
Factors of 13830993960960
Divisors of 13830993960960
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 29 30 32 33 40 44 46 48 55 58 60 64 66 69 80 87 88 92 96 110 115 116 120 128 132 138 145 160 165 174 176 184 192 220 230 232 240 253 256 264 276 290 319 320 330 345 348 352 368 384 435 440 460 464 480 506 512 528 529 552 580 638 640 660 667 690 696 704 736 759 768 841 870 880 920 928 957 960 1012 1024 1056 1058 1104 1160 1265 1276 1280 1320 1334 1380 1392 1408 1472 1518 1536 1587 1595 1682 1740 1760 1840 1856 1914 1920 2001 2024 2048 2112 2116 2208 2320 2523 2530 2552 2560 2640 2645 2668 2760 2784 2816 2944 3036 3072 3174 3190 3335 3364 3480 3520 3680 3712 3795 3828 3840 4002 4048 4096 4205 4224 4232 4416 4640 4785 5046 5060 5104 5120 5280 5290 5336 5520 5568 5632 5819 5888 6072 6144 6348 6380 6670 6728 6960 7040 7337 7360 7424 7590 7656 7680 7935 8004 8096 8192 8410 8448 8464 8832 9251 9280 9570 10005 10092 10120 10208 10240 10560 10580 10672 11040 11136 11264 11638 11776 12144 12167 12288 12615 12696 12760 13340 13456 13920 14080 14674 14720 14848 15180 15312 15341 15360 15870 16008 16192 16820 16896 16928 17457 17664 18502 18560 19140 19343 20010 20184 20240 20416 20480 21120 21160 21344 22011 22080 22272 22528 23276 23552 24288 24334 24576 25230 25392 25520 26680 26912 27753 27840 28160 29095 29348 29440 29696 30360 30624 30682 30720 31740 32016 32384 33640 33792 33856 34914 35328 36501 36685 37004 37120 38280 38686 40020 40368 40480 40832 40960 42240 42320 42688 44022 44160 44544 45056 46023 46255 46552 47104 48576 48668 50460 50784 51040 53360 53824 55506 55680 56320 58029 58190 58696 58880 59392 60720 60835 61248 61364 61440 63480 64032 64768 67280 67584 67712 69828 70656 73002 73370 74008 74240 76560 76705 77372 80040 80736 80960 81664 84480 84640 85376 87285 88044 88320 89088 90112 92046 92510 93104 94208 96715 97152 97336 100920 101568 102080 106720 107648 110055 111012 111360 112640 116058 116380 117392 117760 118784 121440 121670 122496 122728 122880 126960 128064 129536 133837 134560 135168 135424 138765 139656 141312 146004 146740 148016 148480 153120 153410 154744 160080 161472 161920 163328 168751 168960 169280 170752 174570 176088 176640 178176 182505 184092 185020 186208 188416 193430 194304 194672 201840 203136 204160 212773 213440 215296 220110 222024 222720 225280 230115 232116 232760 234784 235520 237568 242880 243340 244992 245456 253920 256128 259072 267674 269120 270336 270848 277530 279312 282624 290145 292008 293480 296032 296960 306240 306820 309488 320160 322944 323840 326656 337502 337920 338560 341504 349140 352176 352843 353280 356352 365010 368184 370040 372416 386860 388608 389344 401511 403680 406272 408320 425546 426880 430592 440220 444048 444889 445440 450560 460230 464232 465520 469568 471040 485760 486680 489984 490912 506253 507840 512256 518144 535348 538240 541696 555060 558624 565248 580290 584016 586960 592064 593920 612480 613640 618976 638319 640320 645888 647680 653312 669185 675004 675840 677120 683008 698280 704352 705686 706560 712704 730020 736368 740080 744832 773720 777216 778688 803022 807360 812544 816640 843755 851092 853760 861184 880440 888096 889778 890880 920460 928464 931040 939136 942080 971520 973360 979968 981824 1012506 1015680 1024512 1036288 1058529 1063865 1070696 1076480 1083392 1110120 1117248 1160580 1168032 1173920 1184128 1187840 1224960 1227280 1237952 1276638 1280640 1291776 1295360 1306624 1334667 1338370 1350008 1351680 1354240 1366016 1396560 1408704 1411372 1413120 1460040 1472736 1480160 1489664 1547440 1554432 1557376 1606044 1614720 1625088 1633280 1687510 1702184 1707520 1722368 1760880 1764215 1776192 1779556 1781760 1840920 1856928 1862080 1878272 1943040 1946720 1959936 1963648 2007555 2025012 2031360 2049024 2072576 2117058 2127730 2141392 2152960 2166784 2220240 2224445 2234496 2321160 2336064 2347840 2368256 2449920 2454560 2475904 2531265 2553276 2561280 2583552 2590720 2613248 2669334 2676740 2700016 2708480 2732032 2793120 2817408 2822744 2826240 2920080 2945472 2960320 2979328 3094880 3108864 3114752 3191595 3212088 3229440 3250176 3266560 3375020 3404368 3415040 3444736 3521760 3528430 3552384 3559112 3563520 3681840 3713856 3724160 3756544 3881273 3886080 3893440 3919872 3927296 4015110 4050024 4062720 4098048 4234116 4255460 4282784 4305920 4333568 4440480 4448890 4468992 4642320 4672128 4695680 4736512 4893779 4899840 4909120 4951808 5062530 5106552 5122560 5167104 5181440 5292645 5338668 5353480 5400032 5416960 5464064 5586240 5634816 5645488 5840160 5890944 5920640 5958656 6189760 6217728 6229504 6383190 6424176 6458880 6500352 6533120 6673335 6750040 6808736 6830080 6889472 7043520 7056860 7104768 7118224 7363680 7427712 7448320 7513088 7762546 7772160 7786880 7839744 7854592 8030220 8100048 8125440 8196096 8468232 8510920 8565568 8611840 8880960 8897780 8937984 9284640 9344256 9391360 9473024 9787558 9799680 9818240 9903616 10125060 10213104 10232447 10245120 10334208 10362880 10585290 10677336 10706960 10800064 10833920 11172480 11269632 11290976 11643819 11680320 11781888 11841280 11917312 12379520 12459008 12766380 12848352 12917760 13000704 13066240 13346670 13500080 13617472 13660160 14087040 14113720 14209536 14236448 14681337 14727360 14855424 14896640 15026176 15525092 15544320 15573760 15709184 16060440 16200096 16250880 16392192 16936464 17021840 17131136 17223680 17761920 17795560 17875968 18569280 18688512 18782720 18946048 19406365 19575116 19599360 19636480 19807232 20250120 20426208 20464894 20490240 20668416 21170580 21354672 21413920 21600128 21667840 22344960 22539264 22581952 23287638 23360640 23563776 23682560 23834624 24468895 24759040 24918016 25532760 25696704 25835520 26693340 27000160 27234944 27320320 28174080 28227440 28419072 28472896 29362674 29454720 29710848 29793280 30052352 30697341 31050184 31088640 31147520 31418368 32120880 32400192 32501760 33872928 34043680 34262272 34447360 35523840 35591120 35751936 37138560 37377024 37565440 37892096 38812730 39150232 39198720 39272960 39614464 40500240 40852416 40929788 40980480 42341160 42709344 42827840 43200256 44689920 45078528 45163904 46575276 46721280 47127552 47365120 47669248 48937790 49518080 49836032 51065520 51162235 51393408 51671040 53386680 54000320 54469888 56348160 56454880 56838144 56945792 58219095 58725348 58909440 59421696 59586560 60104704 61394682 62100368 62295040 62836736 64241760 64800384 65003520 67745856 68087360 68524544 71047680 71182240 71503872 73406685 74277120 74754048 75130880 75784192 77625460 78300464 78545920 79228928 81000480 81704832 81859576 81960960 84682320 85418688 85655680 86400512 89379840 90157056 90327808 93150552 93442560 94255104 94730240 97875580 99036160 99672064 102131040 102324470 102786816 103342080 106773360 108000640 108939776 112556917 112696320 112909760 113676288 113891584 116438190 117450696 117818880 118843392 119173120 122789364 124200736 124590080 125673472 128483520 129600768 135491712 136174720 137049088 142095360 142364480 143007744 146813370 148554240 149508096 150261760 153486705 155250920 156600928 157091840 158457856 162000960 163409664 163719152 169364640 170837376 171311360 172801024 178759680 180314112 180655616 186301104 186885120 188510208 189460480 195751160 198072320 204262080 204648940 205573632 213546720 216001280 217879552 225113834 225392640 225819520 227352576 227783168 232876380 234901392 235637760 237686784 238346240 245578728 248401472 249180160 256967040 259201536 270983424 272349440 274098176 284190720 284728960 293626740 297108480 299016192 300523520 306973410 310501840 313201856 314183680 324001920 326819328 327438304 337670751 338729280 341674752 342622720 345602048 357519360 361311232 372602208 373770240 377020416 378920960 391502320 396144640 408524160 409297880 411147264 427093440 432002560 435759104 450227668 450785280 451639040 455566336 465752760 469802784 471275520 475373568 491157456 496802944 498360320 513934080 518403072 541966848 544698880 548196352 562784585 568381440 569457920 587253480 594216960 613946820 621003680 626403712 628367360 648003840 653638656 654876608 675341502 677458560 683349504 685245440 691204096 715038720 722622464 745204416 747540480 783004640 792289280 817048320 818595760 822294528 854186880 864005120 871518208 900455336 901570560 903278080 911132672 931505520 939605568 942551040 982314912 993605888 1027868160 1036806144 1083933696 1089397760 1096392704 1125569170 1136762880 1138915840 1174506960 1188433920 1227893640 1242007360 1252807424 1296007680 1307277312 1309753216 1350683004 1354917120 1366699008 1370490880 1382408192 1445244928 1490408832 1495080960 1566009280 1634096640 1637191520 1644589056 1688353755 1708373760 1728010240 1743036416 1800910672 1806556160 1822265344 1863011040 1879211136 1885102080 1964629824 1987211776 2055736320 2073612288 2167867392 2178795520 2251138340 2277831680 2349013920 2376867840 2455787280 2484014720 2505614848 2592015360 2614554624 2619506432 2701366008 2709834240 2733398016 2740981760 2890489856 2980817664 3132018560 3268193280 3274383040 3289178112 3376707510 3416747520 3456020480 3601821344 3613112320 3644530688 3726022080 3758422272 3929259648 3974423552 4111472640 4147224576 4335734784 4357591040 4502276680 4555663360 4698027840 4911574560 4968029440 5011229696 5184030720 5229109248 5239012864 5402732016 5419668480 5466796032 5481963520 5961635328 6264037120 6536386560 6548766080 6753415020 6833495040 6912040960 7203642688 7226224640 7452044160 7516844544 7858519296 7948847104 8222945280 8671469568 8715182080 9004553360 9111326720 9396055680 9823149120 9936058880 10022459392 10368061440 10478025728 10805464032 10839336960 10933592064 11923270656 12528074240 13072773120 13097532160 13506830040 13666990080 14407285376 14452449280 14904088320 15033689088 15717038592 15897694208 16445890560 18009106720 18222653440 18792111360 19646298240 19872117760 20044918784 20736122880 20956051456 21610928064 21678673920 23846541312 25056148480 26145546240 26195064320 27013660080 27333980160 28814570752 29808176640 30067378176 31434077184 31795388416 36018213440 37584222720 39292596480 39744235520 40089837568 41912102912 43221856128 43357347840 47693082624 50112296960 52390128640 54027320160 54667960320 57629141504 59616353280 60134756352 62868154368 72036426880 75168445440 78585192960 79488471040 83824205824 86443712256 95386165248 100224593920 104780257280 108054640320 115258283008 119232706560 120269512704 125736308736 144072853760 150336890880 157170385920 158976942080 172887424512 200449187840 209560514560 216109280640 230516566016 238465413120 251472617472 288145707520 300673781760 314340771840 345774849024 419121029120 432218561280 461033132032 476930826240 576291415040 601347563520 628681543680 691549698048 864437122560 922066264064 1152582830080 1257363087360 1383099396096 1728874245120 2305165660160 2766198792192 3457748490240 4610331320320 6915496980480 13830993960960
- Sum of all divisors σ(n): 52274656212480
- Sum of proper divisors (its aliquot sum) s(n): 38443662251520
- 13830993960960 is an abundant number, because the sum of its proper divisors (38443662251520) is greater than itself. Its abundance is 24612668290560
Bases of 13830993960960
- Binary: 110010010100010001110111101101100000000000002
- Hexadecimal: 0xC94477B6000
- Base-36: 4WHVCP5HC
Squares and roots of 13830993960960
- 13830993960960 squared (138309939609602) is 191296393948111990004121600
- 13830993960960 cubed (138309939609603) is 2645819269449762025340773735109492736000
-
The
square root of 13830993960960 is 3719004.4314251631 -
The
cube root of 13830993960960 is 24004.0467487321
Scales and comparisons
How big is 13830993960960?- 13,830,993,960,960 seconds is equal to 439,782 years, 42 weeks, 6 days, 14 hours, 56 minutes.
-
To count from 1 to 13,830,993,960,960 would take you about one million, ninety-nine thousand, four hundred fifty-seven 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 13830993960960 cubic inches would be around 2000.3 feet tall.
Recreational maths with 13830993960960
- 13830993960960 backwards is 06906939903831
- 13830993960960 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13830993960960's digits is 66
- More coming soon!
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The information we have on file for 13830993960960 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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