13406525138176768
13,406,525,138,176,768 is an even composite number composed of six prime numbers multiplied together.
What does the number 13406525138176768 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
13406525138176768 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 13406525138176768:
28 × 132 × 173 × 127 × 197 × 2521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 13 × 17 × 17 × 17 × 127 × 197 × 2521)See below for interesting mathematical facts about the number 13406525138176768 from the Numbermatics database.
Names of 13406525138176768
- Cardinal: 13406525138176768 can be written as Thirteen quadrillion, four hundred six trillion, five hundred twenty-five billion, one hundred thirty-eight million, one hundred seventy-six thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.3406525138176768 × 1016
Factors of 13406525138176768
Divisors of 13406525138176768
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 8 13 16 17 26 32 34 52 64 68 104 127 128 136 169 197 208 221 254 256 272 289 338 394 416 442 508 544 578 676 788 832 884 1016 1088 1156 1352 1576 1651 1664 1768 2032 2159 2176 2312 2521 2561 2704 2873 3152 3302 3328 3349 3536 3757 4064 4318 4352 4624 4913 5042 5122 5408 5746 6304 6604 6698 7072 7514 8128 8636 9248 9826 10084 10244 10816 11492 12608 13208 13396 14144 15028 16256 17272 18496 19652 20168 20488 21463 21632 22984 25019 25216 26416 26792 28067 28288 30056 32512 32773 33293 34544 36703 36992 39304 40336 40976 42857 42926 43264 43537 45968 48841 50038 50432 52832 53584 56134 56576 56933 60112 63869 65546 66586 69088 73406 73984 78608 80672 81952 85714 85852 87074 91936 97682 100076 105664 107168 112268 113866 120224 127738 131092 133172 138176 146812 157216 161344 163904 171428 171704 174148 183872 195364 200152 211328 214336 224536 227732 240448 255476 262184 266344 276352 293624 314432 320167 322688 325247 327808 342856 343408 348296 364871 367744 390728 400304 422656 425323 426049 428672 449072 455464 477139 480896 496637 510952 524368 532688 552704 557141 565981 587248 623951 628864 640334 645376 650494 655616 685712 686816 696592 728569 729742 735488 740129 781456 800608 830297 850646 852098 857344 898144 910928 954278 961792 967861 993274 1021904 1048736 1065376 1114282 1131962 1174496 1247902 1257728 1280668 1300988 1371424 1373632 1393184 1457138 1459484 1480258 1562912 1601216 1660594 1701292 1704196 1796288 1821856 1908556 1935722 1986548 2043808 2097472 2130752 2228564 2263924 2348992 2495804 2561336 2601976 2742848 2747264 2786368 2914276 2918968 2960516 3125824 3202432 3321188 3402584 3408392 3592576 3643712 3817112 3871444 3973096 4087616 4162171 4194944 4228211 4261504 4457128 4527848 4697984 4991608 5122672 5203952 5442839 5485696 5494528 5529199 5572736 5828552 5837936 5921032 6202807 6251648 6404864 6456281 6642376 6805168 6816784 7185152 7230491 7242833 7287424 7634224 7742888 7946192 8111363 8175232 8324342 8389888 8442829 8456422 8523008 8914256 9055696 9395968 9471397 9621677 9983216 10245344 10407904 10885678 10971392 11058398 11145472 11657104 11675872 11842064 12385673 12405614 12503296 12582193 12912562 13284752 13610336 13633568 14460982 14485666 14574848 15268448 15485776 15892384 16222726 16350464 16648684 16885658 16912844 17828512 18111392 18942794 19243354 19966432 20490688 20815808 21771356 22116796 23314208 23351744 23684128 24771346 24811228 25164386 25825124 26569504 27220672 27267136 28921964 28971332 30536896 30971552 31784768 32445452 33297368 33771316 33825688 35657024 36222784 37885588 38486708 39932864 40981376 41631616 43542712 44233592 46628416 46703488 47368256 49542692 49622456 50328772 51650248 53139008 54108223 54441344 54534272 57843928 57942664 61073792 61943104 63072899 63569536 64890904 66594736 67542632 67651376 70756907 71314048 71879587 72445568 75771176 76973416 79865728 81962752 83263232 83931653 87085424 88467184 92528263 93256832 93406976 93996383 94736512 99085384 99244912 100657544 103300496 105447719 106278016 108216446 108882688 109068544 109756777 115687856 115885328 122147584 122918347 123128161 123886208 126145798 127139072 129781808 133189472 135085264 135302752 141513814 142628096 143528093 143759174 144891136 151542352 153946832 159731456 161013749 163568509 167863306 174170848 176934368 185056526 186513664 187992766 189473024 198170768 198489824 201315088 206600992 210895438 212556032 216432892 219513554 231375712 231770656 245836694 246256322 247772416 252291596 259563616 266378944 270170528 270605504 283027628 287056186 287518348 303084704 307893664 322027498 327137018 335726612 348341696 353868736 370113052 375985532 396341536 396979648 402630176 413201984 421790876 432865784 439027108 462751424 463541312 491673388 492512644 504583192 519127232 532757888 540341056 541211008 566055256 574112372 575036696 606169408 615787328 644054996 654274036 671453224 696683392 707737472 740226104 751971064 792683072 793959296 805260352 819947687 826403968 843581752 865731568 878054216 919839791 925502848 927082624 983346776 985025288 1009166384 1038254464 1065515776 1072239283 1080682112 1082422016 1132110512 1148224744 1150073392 1202867419 1212338816 1221952979 1231574656 1288109992 1308548072 1342906448 1393366784 1415474944 1426838101 1480452208 1503942128 1572980471 1585366144 1587918592 1597938511 1610520704 1639895374 1652807936 1687163504 1731463136 1756108432 1839679582 1851005696 1854165248 1865865209 1966693552 1970050576 2018332768 2076508928 2093178737 2144478566 2161364224 2264221024 2296449488 2300146784 2405734838 2424677632 2439977581 2443905958 2463149312 2576219984 2617096144 2685812896 2853676202 2960904416 3007884256 3145960942 3170732288 3195877022 3221041408 3279790748 3374327008 3462926272 3512216864 3679359164 3731730418 3933387104 3940101152 4036665536 4186357474 4288957132 4528442048 4592898976 4600293568 4811469676 4879955162 4887811916 5152439968 5234192288 5371625792 5707352404 5921808832 6015768512 6291921884 6391754044 6559581496 6748654016 6925852544 7024433728 7358718328 7463460836 7866774208 7880202304 8073331072 8372714948 8577914264 9056884096 9185797952 9200587136 9622939352 9759910324 9775623832 10304879936 10468384576 10659319931 10743251584 11414704808 11843617664 12031537024 12583843768 12783508088 13119162992 13497308032 13851705088 13939110679 14048867456 14717436656 14926921672 15637276447 15733548416 15760404608 16146662144 16745429896 17155828528 18113768192 18228067811 18371595904 18401174272 19245878704 19519820648 19551247664 20448746123 20609759872 20773200643 20936769152 21318639862 21486503168 22829409616 23687235328 24063074048 24256247717 25167687536 25567016176 26238325984 26994616064 27878221358 28097734912 29434873312 29853843344 31274552894 31467096832 31520809216 31719708553 33490859792 34311657056 36456135622 36743191808 38491757408 39039641296 39102495328 40897492246 41219519744 41546401286 41873538304 42637279724 45658819232 48512495434 50335375072 51134032352 52476651968 55756442716 58869746624 59707686688 62549105788 63439417106 66981719584 68623314112 72912271244 76983514816 78079282592 78204990656 81794984492 83092802572 85274559448 91317638464 97024990868 100670750144 102268064704 104953303936 111512885432 117739493248 119415373376 125098211576 126878834212 133963439168 137246628224 145824542488 153967029632 156158565184 156409981312 163589968984 166185605144 170549118896 181208438827 182635276928 194049981736 201341500288 204536129408 209906607872 223025770864 235478986496 236964881543 238830746752 250196423152 253757668424 265833699599 267926878336 274493256448 291649084976 307934059264 309877152787 312317130368 312819962624 327179937968 332371210288 341098237792 362416877654 365270553856 388099963472 402683000576 409072258816 412356211189 446051541728 473929763086 477661493504 500392846304 507515336848 531667399198 535853756672 583298169952 619754305574 624634260736 654359875936 664742420576 682196475584 724833755308 776199926944 824712422378 892103083456 947859526172 1000785692608 1015030673696 1063334798396 1166596339904 1239508611148 1308719751872 1329484841152 1364392951168 1449667510616 1552399853888 1649424844756 1784206166912 1895719052344 2001571385216 2030061347392 2126669596792 2333192679808 2479017222296 2617439503744 2658969682304 2728785902336 2899335021232 3080543460059 3104799707776 3298849689512 3568412333824 3791438104688 4003142770432 4028402986231 4060122694784 4253339193584 4666385359616 4958034444592 5234879007488 5317939364608 5798670042464 6161086920118 6209599415552 6597699379024 7582876209376 8056805972462 8120245389568 8506678387168 9916068889184 11597340084928 12322173840236 13195398758048 15165752418752 16113611944924 17013356774336 19832137778368 23194680169856 24644347680472 26390797516096 30331504837504 32227223889848 34026713548672 39664275556736 46389360339712 49288695360944 52369238821003 52781595032192 60663009675008 64454447779696 68053427097344 79328551113472 98577390721888 104738477642006 105563190064384 128908895559392 197154781443776 209476955284012 257817791118784 394309562887552 418953910568024 515635582237568 788619125775104 837907821136048 1031271164475136 1675815642272096 3351631284544192 6703262569088384 13406525138176768
- Sum of all divisors σ(n): 31200584859924480
- Sum of proper divisors (its aliquot sum) s(n): 17794059721747712
- 13406525138176768 is an abundant number, because the sum of its proper divisors (17794059721747712) is greater than itself. Its abundance is 4387534583570944
Bases of 13406525138176768
- Binary: 1011111010000100101001111000001000100010001011000000002
- Hexadecimal: 0x2FA129E0888B00
- Base-36: 3O07SMH1RLS
Squares and roots of 13406525138176768
- 13406525138176768 squared (134065251381767682) is 179734916280565608315219214925824
- 13406525138176768 cubed (134065251381767683) is 2409620673323499670417331254334348931547720056832
-
The
square root of 13406525138176768 is 115786549.9018636793 -
The
cube root of 13406525138176768 is 237559.3211785275
Scales and comparisons
How big is 13406525138176768?- 13,406,525,138,176,768 seconds is equal to 426,286,030 years, 15 weeks, 4 hours, 39 minutes, 28 seconds.
-
To count from 1 to 13,406,525,138,176,768 would take you about one billion, two hundred seventy-eight million, eight hundred fifty-eight thousand and ninety 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 13406525138176768 cubic inches would be around 19796.6 feet tall.
Recreational maths with 13406525138176768
- 13406525138176768 backwards is 86767183152560431
- The number of decimal digits it has is: 17
- The sum of 13406525138176768's digits is 73
- More coming soon!
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The information we have on file for 13406525138176768 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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