42438080078168320

Names of 42438080078168320

• Cardinal: 42438080078168320 can be written as Forty-two quadrillion, four hundred thirty-eight trillion, eighty billion, seventy-eight million, one hundred sixty-eight thousand, three hundred twenty.

Scientific notation

• Scientific notation: 4.243808007816832 × 10¹⁶

Factors of 42438080078168320

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 80917

Divisors of 42438080078168320

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 17 20 26 28 32 34 35 40 52 56 64 65 68 70 80 85 91 104 112 119 128 130 136 140 149 160 170 182 208 221 224 238 256 260 272 280 298 320 340 364 416 442 448 455 476 520 544 560 595 596 640 680 728 745 832 884 896 910 952 1040 1043 1088 1105 1120 1190 1192 1280 1360 1456 1490 1547 1664 1768 1792 1820 1823 1904 1937 2080 2086 2176 2210 2240 2380 2384 2533 2720 2912 2980 3094 3328 3536 3640 3646 3808 3874 4160 4172 4352 4420 4480 4760 4768 5066 5215 5440 5824 5960 6188 7072 7280 7292 7616 7735 7748 8320 8344 8840 8960 9115 9520 9536 9685 10132 10430 10880 11648 11920 12376 12665 12761 13559 14144 14560 14584 15232 15470 15496 16640 16688 17680 17731 18230 19040 19072 19370 20264 20860 21760 23296 23699 23840 24752 25330 25522 27118 28288 29120 29168 30464 30940 30991 30992 32929 33376 35360 35462 36460 38080 38144 38740 40528 41720 47398 47680 49504 50660 51044 54236 56576 58240 58336 61880 61982 61984 63805 65858 66752 67795 70720 70924 72920 76160 77480 78901 81056 83440 88655 94796 95360 99008 101320 102088 108472 116480 116672 118495 123760 123964 123968 127610 131716 133504 135590 141440 141848 145840 152320 154955 154960 157802 162112 164645 165893 166880 177310 189592 190720 198016 202640 204176 216937 216944 230503 233344 236990 247520 247928 247936 255220 263432 267008 271180 271627 282880 283696 291680 309910 309920 315604 324224 329290 331786 333760 354620 379184 394505 396032 402883 405280 408352 433874 433888 461006 466688 473980 495040 495856 495872 510440 526864 542360 543254 552307 567392 583360 619820 619840 631208 648448 658580 663572 667520 709240 758368 789010 805766 810560 816704 829465 867748 867776 922012 947960 990080 991712 1020880 1025713 1053728 1084685 1084720 1086508 1104614 1134784 1152515 1166720 1239640 1239680 1262416 1317160 1327144 1335040 1341317 1358135 1418480 1516736 1578020 1611532 1621120 1633408 1658930 1735496 1735552 1844024 1895920 1901389 1980160 1983424 2014415 2041760 2051426 2107456 2169370 2169440 2173016 2209228 2269568 2305030 2333440 2479280 2479360 2524832 2634320 2654288 2682634 2716270 2761535 2820181 2836960 3033472 3156040 3223064 3242240 3266816 3317860 3470992 3471104 3531151 3688048 3791840 3802778 3966848 4028830 4083520 4102852 4214912 4338740 4338880 4346032 4418456 4539136 4610060 4617659 4958560 5049664 5128565 5268640 5308576 5365268 5432540 5523070 5640362 5673920 6066944 6312080 6446128 6635720 6706585 6941984 7062302 7179991 7376096 7583680 7605556 7933696 8057660 8167040 8205704 8429824 8677480 8677760 8692064 8836912 9220120 9235318 9389219 9506945 9917120 10099328 10257130 10537280 10617152 10730536 10865080 11046140 11280724 11347840 11756249 12624160 12892256 13271440 13413170 13883968 14100905 14124604 14359982 14752192 15167360 15211112 16115320 16334080 16411408 17354960 17355520 17384128 17437121 17655755 17673824 18440240 18470636 18778438 19013890 19834240 20198656 20514260 21074560 21234304 21461072 21730160 22092280 22561448 22695680 23088295 23512498 24718057 25248320 25784512 26542880 26826340 27767936 28201810 28249208 28719964 29504384 30334720 30422224 32230640 32323613 32822816 34709920 34768256 34874242 35311510 35347648 35899955 36880480 36941272 37556876 38027780 39668480 41028520 42149120 42468608 42922144 43460320 44184560 45122896 46176590 46946095 47024996 49436114 50496640 51569024 53085760 53652680 55535872 56403620 56498416 57439928 58781245 59008768 60029567 60844448 64461280 64647226 65645632 69419840 69536512 69748484 70623020 70695296 71799910 73760960 73882544 75113752 76055560 82057040 82293743 85844288 86920640 87185605 88369120 90245792 92353180 93892190 94049992 98872228 100993280 103138048 106171520 107305360 112807240 112996832 114879856 117562490 120059134 121688896 122059847 123590285 128922560 129294452 131291264 138839680 139496968 141246040 141390592 143599820 143836523 147521920 147765088 150227504 152111120 152831237 161618065 164114080 164587486 171688576 173841280 174371210 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7479499196 7523999360 7683784576 7811830208 7909778240 7994249320 8054845288 8274844928 8404139380 8558549272 9190388480 9205537472 9349373995 9604730720 9764787760 9780883564 9781199168 10068556610 10343556160 10392524116 10533599104 10698186590 11159757440 11191949048 11506921840 12018200320 12226104455 12226498960 12790798912 12990655145 13089123593 13166998880 13446623008 13989936310 14958998392 15047998720 15367569152 15623660416 15819556480 15988498640 16109690576 16808278760 17116546237 17117098544 18186917203 18411074944 18698747990 19209461440 19529575520 19561767128 19562398336 20137113220 20687112320 20785048232 21067198208 21396373180 21431641927 22319514880 22383898096 23013843680 24452208910 24452997920 25581597824 25981310290 26178247186 26333997760 26893246016 27979872620 29917996784 31247320832 31639112960 31787871583 31976997280 32219381152 33616557520 34233092474 34234197088 36373834406 36822149888 37397495980 38418922880 39059151040 39123534256 39124796672 40274226440 41374224640 41570096464 42792746360 42863283854 44767796192 46027687360 48904417820 48905995840 51163195648 51962620580 52356494372 52667995520 53786492032 55959745240 59835993568 63575743166 63953994560 64438762304 65445617965 67233115040 68466184948 68468394176 72747668812 74794991960 76837845760 78118302080 78247068512 80548452880 83140192928 85582731185 85585492720 85726567708 89535592384 90934586015 92055374720 97808835640 97811991680 103925241160 104712988744 105335991040 107158209635 107572984064 111919490480 119671987136 127151486332 127907989120 128877524608 130891235930 134466230080 136932369896 136936788352 145495337624 149589983920 150021493489 156236604160 156494137024 158939357915 161096905760 166280385856 171165462370 171170985440 171453135416 179071184768 181869172030 184110749440 195617671280 195623983360 207850482320 209425977488 214316419270 222515101081 223838980960 239343974272 254302972664 255815978240 257755049216 261782471860 268932460160 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2190917918336 2225151010810 2228890760408 2327925401984 2393439742720 2400343895824 2543029726640 2550365389313 2738647397920 2743250166656 2786113450510 2909906752480 2914703302072 3000429869780 3129882740480 3325607717120 3350815639808 3429062708320 3560241617296 3643379127590 3900558830714 4068847562624 4188519549760 4381835836672 4450302021620 4457781520816 4655850803968 4736392865867 4800687791648 5086059453280 5100730778626 5477294795840 5486500333312 5572226901020 5819813504960 5829406604144 6000859739560 6858125416640 7120483234592 7286758255180 7801117661428 8137695125248 8377039099520 8900604043240 8915563041632 9472785731734 9601375583296 9751397076785 10172118906560 10201461557252 10954589591680 11144453802040 11639627009920 11658813208288 12001719479120 12751826946565 13716250833280 14240966469184 14573516510360 15602235322856 16754078199040 17801208086480 17831126083264 18945571463468 19202751166592 19502794153570 20344237813120 20402923114504 21909179183360 22288907604080 23279254019840 23317626416576 23681964329335 24003438958240 25503653893130 27432501666560 28481932938368 29147033020720 31204470645712 33154750061069 35602416172960 35662252166528 37891142926936 38405502333184 39005588307140 40688475626240 40805846229008 44577815208160 46635252833152 47363928658670 48006877916480 51007307786260 56963865876736 58294066041440 62408941291424 66309500122138 71204832345920 71324504333056 75782285853872 78011176614280 81611692458016 89155630416320 93270505666304 94727857317340 96013755832960 102014615572520 116588132082880 124817882582848 132619000244276 142409664691840 151564571707744 156022353228560 163223384916032 165773750305345 178311260832640 189455714634680 192027511665920 204029231145040 233176264165760 249635765165696 265238000488552 284819329383680 303129143415488 312044706457120 326446769832064 331547500610690 356622521665280 378911429269360 408058462290080 466352528331520 499271530331392 530476000977104 606258286830976 624089412914240 652893539664128 663095001221380 757822858538720 816116924580160 1060952001954208 1212516573661952 1248178825828480 1326190002442760 1515645717077440 1632233849160320 2121904003908416 2496357651656960 2652380004885520 3031291434154880 3264467698320640 4243808007816832 5304760009771040 6062582868309760 8487616015633664 10609520019542080 21219040039084160 42438080078168320
• Sum of all divisors σ(n): 133434085388083200
• Sum of proper divisors (its aliquot sum) s(n): 90996005309914880
• 42438080078168320 is an abundant number, because the sum of its proper divisors (90996005309914880) is greater than itself. Its abundance is 48557925231746560

Bases of 42438080078168320

• Binary: 10010110110001010011010110000000000000100100000100000000₂
• Hexadecimal: 0x96C53580024100
• Base-36: BLV1KUFS8HS

Squares and roots of 42438080078168320

• 42438080078168320 squared (42438080078168320²) is 1800990640721026841361486251622400
• 42438080078168320 cubed (42438080078168320³) is 76430585030950607496732319329385433984420282368000
• The square root of 42438080078168320 is 206005048.6715515427
• The cube root of 42438080078168320 is 348807.0407251907

Scales and comparisons

• 42,438,080,078,168,320 seconds is equal to 1,349,399,676 years, 46 weeks, 4 hours, 58 minutes, 40 seconds.
• To count from 1 to 42,438,080,078,168,320 would take you about four billion, forty-eight million, one hundred ninety-nine thousand and thirty 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 42438080078168320 cubic inches would be around 29067.3 feet tall.

Recreational maths with 42438080078168320

• 42438080078168320 backwards is 02386187008083424
• 42438080078168320 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 42438080078168320's digits is 64
• More coming soon!