42438080225413600
42,438,080,225,413,600 is an even composite number composed of six prime numbers multiplied together.
What does the number 42438080225413600 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 720 divisors.
42438080225413600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 42438080225413600:
25 × 52 × 74 × 13 × 29 × 58604671
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 7 × 13 × 29 × 58604671)See below for interesting mathematical facts about the number 42438080225413600 from the Numbermatics database.
Names of 42438080225413600
- Cardinal: 42438080225413600 can be written as Forty-two quadrillion, four hundred thirty-eight trillion, eighty billion, two hundred twenty-five million, four hundred thirteen thousand, six hundred.
Scientific notation
- Scientific notation: 4.24380802254136 × 1016
Factors of 42438080225413600
Divisors of 42438080225413600
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 29 32 35 40 49 50 52 56 58 65 70 80 91 98 100 104 112 116 130 140 145 160 175 182 196 200 203 208 224 232 245 260 280 290 325 343 350 364 377 392 400 406 416 455 464 490 520 560 580 637 650 686 700 725 728 754 784 800 812 910 928 980 1015 1040 1120 1160 1225 1274 1300 1372 1400 1421 1450 1456 1508 1568 1624 1715 1820 1885 1960 2030 2080 2275 2320 2401 2450 2548 2600 2639 2744 2800 2842 2900 2912 3016 3185 3248 3430 3640 3770 3920 4060 4459 4550 4640 4802 4900 5075 5096 5200 5278 5488 5600 5684 5800 6032 6370 6496 6860 7105 7280 7540 7840 8120 8575 8918 9100 9425 9604 9800 9947 10150 10192 10400 10556 10976 11368 11600 12005 12064 12740 13195 13720 14210 14560 15080 15925 16240 17150 17836 18200 18473 18850 19208 19600 19894 20300 20384 21112 22295 22736 23200 24010 25480 26390 27440 28420 30160 31213 31850 32480 34300 35525 35672 36400 36946 37700 38416 39200 39788 40600 42224 44590 45472 48020 49735 50960 52780 54880 56840 60025 60320 62426 63700 65975 68600 69629 71050 71344 72800 73892 75400 76832 79576 81200 84448 89180 92365 96040 99470 101920 105560 111475 113680 120050 124852 127400 129311 131950 137200 139258 142100 142688 147784 150800 156065 159152 162400 178360 184730 192080 198940 211120 222950 227360 240100 248675 249704 254800 258622 263900 274400 278516 284200 295568 301600 312130 318304 348145 356720 369460 384160 397880 422240 445900 461825 480200 497350 499408 509600 517244 527800 557032 568400 591136 624260 646555 696290 713440 738920 780325 795760 891800 905177 923650 960400 994700 998816 1034488 1055600 1114064 1136800 1248520 1293110 1392580 1477840 1560650 1591520 1740725 1783600 1810354 1847300 1920800 1989400 2068976 2111200 2228128 2497040 2586220 2785160 2955680 3121300 3232775 3481450 3567200 3620708 3694600 3978800 4137952 4525885 4994080 5172440 5570320 6242600 6465550 6962900 7241416 7389200 7957600 9051770 10344880 11140640 12485200 12931100 13925800 14482832 14778400 18103540 20689760 22629425 24970400 25862200 27851600 28965664 36207080 45258850 51724400 55703200 58604671 72414160 90517700 103448800 117209342 144828320 181035400 234418684 293023355 362070800 410232697 468837368 586046710 724141600 761860723 820465394 937674736 1172093420 1465116775 1523721446 1640930788 1699535459 1875349472 2051163485 2344186840 2871628879 2930233550 3047442892 3281861576 3399070918 3809303615 4102326970 4688373680 5333025061 5743257758 5860467100 6094885784 6563723152 6798141836 7618607230 8204653940 8497677295 9376747360 10255817425 10666050122 11486515516 11720934200 11896748213 12189771568 13127446304 13596283672 14358144395 15237214460 16409307880 16995354590 19046518075 20101402153 20511634850 21332100244 22093960967 22973031032 23441868400 23793496426 24379543136 26665125305 27192567344 28716288790 30474428920 32818615760 33990709180 37331175427 38093036150 40202804306 41023269700 42488386475 42664200488 44187921934 45946062064 46883736800 47586992852 53330250610 54385134688 57432577580 59483741065 60948857840 65637231520 67981418360 71790721975 74662350854 76186072300 80405608612 82046539400 83277237491 84976772950 85328400976 88375843868 91892124128 95173985704 100507010765 106660501220 110469804835 114865155160 118967482130 121897715680 133325626525 135962836720 140709815071 143581443950 149324701708 152372144600 154657726769 160811217224 164093078800 166554474982 169953545900 170656801952 176751687736 186655877135 190347971408 201014021530 213321002440 220939609670 229730310320 237934964260 261318227989 266651253050 271925673440 281419630142 287162887900 297418705325 298649403416 304744289200 309315453538 321622434448 328186157600 333108949964 339907091800 353503375472 373311754270 380695942816 402028043060 416386187455 426642004880 441879219340 459460620640 475869928520 502535053825 522636455978 533302506100 552349024175 562839260284 574325775800 582940662437 594837410650 597298806832 609488578400 618630907076 643244868896 666217899928 679814183600 703549075355 707006750944 746623508540 773288633845 804056086120 832772374910 853284009760 883758438680 933279385675 951739857040 1005070107650 1045272911956 1066605012200 1082604087383 1104698048350 1125678520568 1148651551600 1165881324874 1189674821300 1194597613664 1237261814152 1306591139945 1332435799856 1359628367200 1407098150710 1493247017080 1546577267690 1608112172240 1665544749820 1767516877360 1829227595923 1866558771350 1903479714080 2010140215300 2081930937275 2090545823912 2133210024400 2165208174766 2209396096700 2251357041136 2297303103200 2331762649748 2379349642600 2474523628304 2613182279890 2664871599712 2814196301420 2914703312185 2986494034160 3093154535380 3216224344480 3331089499640 3517745376775 3535033754720 3658455191846 3733117542700 3866443169225 4020280430600 4080584637059 4163861874550 4181091647824 4266420048800 4330416349532 4418792193400 4502714082272 4663525299496 4758699285200 4949047256608 5226364559780 5413020436915 5628392602840 5829406624370 5972988068320 6186309070760 6532955699725 6662178999280 7035490753550 7316910383692 7466235085400 7578228611681 7732886338450 8040560861200 8161169274118 8327723749100 8362183295648 8660832699064 8837584386800 9146137979615 9327050598992 9517398570400 10452729119560 10826040873830 11256785205680 11658813248740 12372618141520 13065911399450 13324357998560 14070981507100 14573516560925 14633820767384 14932470170800 15156457223362 15465772676900 16081121722400 16322338548236 16655447498200 17321665398128 17675168773600 18292275959230 18654101197984 20402923185295 20905458239120 21652081747660 22513570411360 23317626497480 24745236283040 26131822798900 27065102184575 28141963014200 29147033121850 29267641534768 29864940341600 30312914446724 30931545353800 32644677096472 33310894996400 34643330796256 36584551918460 37891143058405 40805846370590 41810916478240 43304163495320 45730689898075 46635252994960 52263645597800 53047600281767 54130204369150 56283926028400 58294066243700 58535283069536 60625828893448 61863090707600 65289354192944 66621789992800 73169103836920 75782286116810 81611692741180 86608326990640 91461379796150 93270505989920 102014615926475 104527291195600 106095200563534 108260408738300 112567852056800 116588132487400 121251657786896 123726181415200 130578708385888 146338207673840 151564572233620 163223385482360 173216653981280 182922759592300 189455715292025 204029231852950 209054582391200 212190401127068 216520817476600 233176264974800 242503315573792 265238001408835 292676415347680 303129144467240 326446770964720 365845519184600 378911430584050 408058463705900 424380802254136 433041634953200 466352529949600 530476002817670 606258288934480 652893541929440 731691038369200 757822861168100 816116927411800 848761604508272 866083269906400 1060952005635340 1212516577868960 1326190007044175 1463382076738400 1515645722336200 1632233854823600 1697523209016544 2121904011270680 2652380014088350 3031291444672400 3264467709647200 4243808022541360 5304760028176700 6062582889344800 8487616045082720 10609520056353400 21219040112706800 42438080225413600
- Sum of all divisors σ(n): 134647062181470720
- Sum of proper divisors (its aliquot sum) s(n): 92208981956057120
- 42438080225413600 is an abundant number, because the sum of its proper divisors (92208981956057120) is greater than itself. Its abundance is 49770901730643520
Bases of 42438080225413600
- Binary: 100101101100010100110101100010001100100100001001111000002
- Hexadecimal: 0x96C53588C909E0
- Base-36: BLV1KWVG7OG
Squares and roots of 42438080225413600
- 42438080225413600 squared (424380802254136002) is 1800990653218640830587291064960000
- 42438080225413600 cubed (424380802254136003) is 76430585826512723768095321927729070000467456000000
-
The
square root of 42438080225413600 is 206005049.0289342399 -
The
cube root of 42438080225413600 is 348807.0411286033
Scales and comparisons
How big is 42438080225413600?- 42,438,080,225,413,600 seconds is equal to 1,349,399,681 years, 29 weeks, 3 days, 10 hours, 26 minutes, 40 seconds.
-
To count from 1 to 42,438,080,225,413,600 would take you about four billion, forty-eight million, one hundred ninety-nine thousand and forty-four 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 42438080225413600 cubic inches would be around 29067.3 feet tall.
Recreational maths with 42438080225413600
- 42438080225413600 backwards is 00631452208083424
- 42438080225413600 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42438080225413600's digits is 52
- More coming soon!
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The information we have on file for 42438080225413600 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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