13216379971905792
13,216,379,971,905,792 is an even composite number composed of six prime numbers multiplied together.
What does the number 13216379971905792 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
13216379971905792 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13216379971905792:
28 × 32 × 113 × 47 × 89 × 1013
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 11 × 11 × 47 × 89 × 101 × 101 × 101)See below for interesting mathematical facts about the number 13216379971905792 from the Numbermatics database.
Names of 13216379971905792
- Cardinal: 13216379971905792 can be written as Thirteen quadrillion, two hundred sixteen trillion, three hundred seventy-nine billion, nine hundred seventy-one million, nine hundred five thousand, seven hundred ninety-two.
Scientific notation
- Scientific notation: 1.3216379971905792 × 1016
Factors of 13216379971905792
Divisors of 13216379971905792
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 47 48 64 66 72 88 89 94 96 99 101 121 128 132 141 144 176 178 188 192 198 202 242 256 264 267 282 288 303 352 356 363 376 384 396 404 423 484 517 528 534 564 576 606 704 712 726 752 768 792 801 808 846 909 968 979 1034 1056 1068 1089 1111 1128 1152 1212 1331 1408 1424 1452 1504 1551 1584 1602 1616 1692 1818 1936 1958 2068 2112 2136 2178 2222 2256 2304 2424 2662 2816 2848 2904 2937 3008 3102 3168 3204 3232 3333 3384 3636 3872 3916 3993 4136 4183 4224 4272 4356 4444 4512 4653 4747 4848 5324 5687 5696 5808 5874 6016 6204 6336 6408 6464 6666 6768 7272 7744 7832 7986 8272 8366 8448 8544 8712 8811 8888 8989 9024 9306 9494 9696 9999 10201 10648 10769 11374 11392 11616 11748 11979 12032 12221 12408 12549 12672 12816 12928 13332 13536 14241 14544 15488 15664 15972 16544 16732 17061 17088 17424 17622 17776 17978 18048 18612 18988 19392 19998 20402 21296 21538 22748 22784 23232 23496 23958 24442 24816 25098 25344 25632 25856 26664 26967 27072 28482 29088 30603 30976 31328 31944 32307 33088 33464 34122 34176 34848 35244 35552 35956 36096 36663 37224 37647 37976 38784 39996 40804 42592 42723 43076 45496 46013 46464 46992 47916 48884 49632 50196 51183 51264 52217 53328 53934 54144 56964 58176 61206 62557 62656 63888 64614 66176 66928 68244 68352 69696 70488 71104 71912 73326 74448 75294 75952 77568 79992 80901 81608 85184 85446 86152 90992 91809 92026 92928 93984 95832 96921 97768 98879 99264 100392 102366 102528 104434 106656 107868 108288 109989 112211 113928 116352 118459 122412 125114 125312 127776 129228 132352 133856 134431 136488 138039 139392 140976 142208 143824 146652 148896 150588 151904 156651 159984 161802 163216 170368 170892 172304 181984 183618 184052 187671 187968 191664 193842 195536 197758 198528 200784 204732 205056 208868 213312 215736 219978 224422 227856 232704 236918 244824 250228 250624 255552 258456 267712 268862 272976 276078 278784 281952 284416 287648 293304 296637 297792 301176 303808 313302 319968 323604 326432 336633 340736 341784 344608 355377 363968 367236 368104 375342 375936 383328 387684 391072 395516 397056 401568 403293 409464 414117 417736 422483 426624 431472 439956 448844 455712 469953 473836 479447 489648 500456 506143 511104 516912 535424 537724 545952 552156 563013 563904 574387 575296 586608 593274 595584 602352 607616 626604 639936 647208 652864 673266 683568 689216 710754 727936 734472 736208 750684 751872 766656 775368 782144 791032 803136 806586 818928 828234 835472 844966 853248 862944 879912 889911 897688 907889 911424 939906 947672 958894 979296 1000912 1009899 1012286 1022208 1030301 1033824 1066131 1070848 1075448 1087669 1091904 1104312 1126026 1127808 1148774 1150592 1173216 1186548 1191168 1204704 1209879 1215232 1234321 1253208 1267449 1279872 1294416 1305728 1346532 1367136 1378432 1421508 1438341 1455872 1468944 1472416 1501368 1518429 1533312 1550736 1564288 1582064 1606272 1613172 1637856 1656468 1670944 1689932 1723161 1725888 1759824 1779822 1795376 1815778 1822848 1879812 1895344 1917788 1958592 2001824 2019798 2024572 2060602 2067648 2132262 2150896 2175338 2183808 2208624 2252052 2255616 2297548 2301184 2346432 2373096 2409408 2419758 2468642 2506416 2534898 2559744 2588832 2611456 2693064 2723667 2734272 2756864 2843016 2876682 2937888 2944832 3002736 3036858 3066624 3090903 3101472 3128576 3164128 3212544 3226344 3263007 3275712 3312936 3341888 3379864 3446322 3451776 3519648 3559644 3590752 3631556 3645696 3702963 3759624 3790688 3802347 3835576 3917184 4003648 4039596 4049144 4121204 4135296 4264524 4301792 4315023 4350676 4367616 4417248 4504104 4555287 4595096 4647313 4692864 4746192 4818816 4839516 4937284 5012832 5069796 5169483 5177664 5273917 5386128 5447334 5468544 5567573 5686032 5753364 5875776 5889664 6005472 6073716 6181806 6202944 6318257 6328256 6452688 6526014 6551424 6625872 6683776 6759728 6892644 6903552 7039296 7119288 7181504 7263112 7405926 7519248 7581376 7604694 7671152 7834368 8007296 8079192 8098288 8171001 8242408 8270592 8529048 8603584 8630046 8701352 8834496 9008208 9110574 9190192 9272709 9294626 9385728 9492384 9637632 9679032 9789021 9874568 9986779 10025664 10139592 10338966 10355328 10547834 10772256 10894668 10937088 11108889 11135146 11333311 11372064 11506728 11751552 11779328 11964359 12010944 12147432 12363612 12405888 12636514 12656512 12905376 13052028 13102848 13251744 13367552 13519456 13577531 13785288 13941939 14078592 14238576 14363008 14526224 14811852 15038496 15162752 15209388 15342304 15821751 16014592 16158384 16196576 16342002 16484816 16702719 17058096 17207168 17260092 17402704 17668992 18016416 18221148 18380384 18545418 18589252 18954771 18984768 19358064 19578042 19749136 19973558 20051328 20279184 20677932 20710656 21095668 21544512 21789336 22217778 22270292 22666622 22744128 23013456 23503104 23928718 24021888 24294864 24727224 24811776 25273028 25313024 25810752 26104056 26503488 27038912 27155062 27570576 27883878 28157184 28477152 28726016 29052448 29623704 29960337 30076992 30325504 30418776 30684608 31643502 32316768 32393152 32684004 32969632 33405438 33999933 34116192 34414336 34520184 34805408 35337984 35893077 36032832 36442296 36760768 37090836 37178504 37909542 37969536 38716128 39156084 39498272 39947116 40102656 40558368 40732593 41355864 41825817 42191336 42670783 43089024 43578672 44435556 44540584 45333244 45488256 46026912 47465253 47857436 48043776 48424147 48589728 49454448 50108157 50546056 51120443 51621504 52208112 53006976 54077824 54310124 55141152 55767756 56864313 56954304 58013087 58104896 59247408 59920674 60153984 60837552 61369216 63287004 64633536 64786304 65368008 65939264 66810876 67999866 68232384 69040368 69610816 71786154 72065664 72884592 73521536 74181672 74357008 75819084 75939072 77432256 78312168 78996544 79894232 81116736 81465186 82711728 83651634 84382672 85341566 86178048 87157344 88871112 89081168 89881011 90666488 90976512 91696789 92053824 94930506 95714872 96848294 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227179248692 232012849728 244096852318 245047279488 247831907664 253104926976 257810158628 258218157824 263295481152 266287475256 270362081088 275823941312 281247445776 284443439478 287231433984 290495427552 306815395392 309350466304 310301933976 323899126848 330442543552 340768873038 348019274592 351060641536 355049967008 360482774784 366145278477 367570919232 371747861496 374996594368 379257919304 386715237942 387327236736 394943221728 399431212884 409087193856 413735911968 421871168664 426665159217 431865502464 454358497384 464025699456 488193704636 490094558976 495663815328 511153309557 515620317256 521479639043 526590962304 532574950512 540724162176 551647882624 562494891552 568886878956 580072856913 580990855104 613630790784 620603867952 647798253696 660885087104 681537746076 696038549184 710099934016 732290556954 735141838464 743495722992 749993188736 758515838608 773430475884 774654473472 789886443456 798862425768 827471823936 843742337328 853330318434 908716994768 928051398912 976387409272 991327630656 1022306619114 1031240634512 1042959278086 1053181924608 1065149901024 1081448324352 1098435835431 1103295765248 1124989783104 1137773757912 1160145713826 1161981710208 1227261581568 1241207735904 1295596507392 1321770174208 1363075492152 1392077098368 1420199868032 1464581113908 1470283676928 1486991445984 1499986377472 1517031677216 1546860951768 1564438917129 1579772886912 1597724851536 1654943647872 1687484674656 1706660636868 1817433989536 1952774818544 1982655261312 2044613238228 2062481269024 2085918556172 2130299802048 2196871670862 2249979566208 2275547515824 2320291427652 2323963420416 2482415471808 2726150984304 2784154196736 2840399736064 2929162227816 2973982891968 3034063354432 3093721903536 3128877834258 3159545773824 3195449703072 3309887295744 3374969349312 3413321273736 3634867979072 3905549637088 3965310522624 4089226476456 4124962538048 4171837112344 4260599604096 4393743341724 4499959132416 4551095031648 4640582855304 4693316751387 4964830943616 5452301968608 5736276029473 5858324455632 5947965783936 6068126708864 6187443807072 6257755668516 6390899406144 6749938698624 6826642547472 7269735958144 7811099274176 8178452952912 8249925076096 8343674224688 8521199208192 8787486683448 9102190063296 9281165710608 9386633502774 9929661887232 10904603937216 11472552058946 11716648911264 11895931567872 12136253417728 12374887614144 12515511337032 12781798812288 13499877397248 13653285094944 14539471916288 15622198548352 16356905905824 16499850152192 16687348449376 17208828088419 17574973366896 18204380126592 18562331421216 18773267005548 21809207874432 22945104117892 23433297822528 24749775228288 25031022674064 25563597624576 27306570189888 31244397096704 32713811811648 33374696898752 34417656176838 35149946733792 36408760253184 37124662842432 37546534011096 43618415748864 45890208235784 46866595645056 49499550456576 50062045348128 51626484265257 54613140379776 65427623623296 66749393797504 68835312353676 70299893467584 74249325684864 75093068022192 91780416471568 93733191290112 100124090696256 103252968530514 109226280759552 130855247246592 133498787595008 137670624707352 140599786935168 148498651369728 150186136044384 183560832943136 200248181392512 206505937061028 275341249414704 281199573870336 300372272088768 367121665886272 400496362785024 413011874122056 550682498829408 600744544177536 734243331772544 826023748244112 1101364997658816 1201489088355072 1468486663545088 1652047496488224 2202729995317632 3304094992976448 4405459990635264 6608189985952896 13216379971905792
- Sum of all divisors σ(n): 43719437632066560
- Sum of proper divisors (its aliquot sum) s(n): 30503057660160768
- 13216379971905792 is an abundant number, because the sum of its proper divisors (30503057660160768) is greater than itself. Its abundance is 17286677688254976
Bases of 13216379971905792
- Binary: 1011101111010000111010010000010111000100101001000000002
- Hexadecimal: 0x2EF43A41712900
- Base-36: 3M4TD52GCG0
Squares and roots of 13216379971905792
- 13216379971905792 squared (132163799719057922) is 174672699561792543335204523147264
- 13216379971905792 cubed (132163799719057923) is 2308540768127192580474021790324787388479950553088
-
The
square root of 13216379971905792 is 114962515.5079071501 -
The
cube root of 13216379971905792 is 236430.8655032065
Scales and comparisons
How big is 13216379971905792?- 13,216,379,971,905,792 seconds is equal to 420,240,002 years, 8 weeks, 1 day, 22 hours, 43 minutes, 12 seconds.
-
To count from 1 to 13,216,379,971,905,792 would take you about one billion, two hundred sixty million, seven hundred twenty thousand and six 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 13216379971905792 cubic inches would be around 19702.6 feet tall.
Recreational maths with 13216379971905792
- 13216379971905792 backwards is 29750917997361231
- The number of decimal digits it has is: 17
- The sum of 13216379971905792's digits is 81
- More coming soon!
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MLA style:
"Number 13216379971905792 - Facts about the integer". Numbermatics.com. 2024. Web. 30 May 2024.
APA style:
Numbermatics. (2024). Number 13216379971905792 - Facts about the integer. Retrieved 30 May 2024, from https://numbermatics.com/n/13216379971905792/
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Numbermatics. 2024. "Number 13216379971905792 - Facts about the integer". https://numbermatics.com/n/13216379971905792/
The information we have on file for 13216379971905792 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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