42008319968160
42,008,319,968,160 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42008319968160 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
42008319968160 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 42008319968160:
25 × 3 × 5 × 7 × 132 × 53 × 73 × 19121
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 13 × 53 × 73 × 19121)See below for interesting mathematical facts about the number 42008319968160 from the Numbermatics database.
Names of 42008319968160
- Cardinal: 42008319968160 can be written as Forty-two trillion, eight billion, three hundred nineteen million, nine hundred sixty-eight thousand, one hundred sixty.
Scientific notation
- Scientific notation: 4.200831996816 × 1013
Factors of 42008319968160
Divisors of 42008319968160
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 52 53 56 60 65 70 73 78 80 84 91 96 104 105 106 112 120 130 140 146 156 159 160 168 169 182 195 208 210 212 219 224 240 260 265 273 280 292 312 318 336 338 364 365 371 390 416 420 424 438 455 480 507 511 520 530 546 560 584 624 636 672 676 689 728 730 742 780 795 840 845 848 876 910 949 1014 1022 1040 1060 1092 1095 1113 1120 1168 1183 1248 1272 1352 1365 1378 1456 1460 1484 1533 1560 1590 1680 1690 1696 1752 1820 1855 1898 2028 2044 2067 2080 2120 2184 2190 2226 2336 2366 2535 2544 2555 2704 2730 2756 2847 2912 2920 2968 3066 3120 3180 3360 3380 3445 3504 3549 3640 3710 3796 3869 4056 4088 4134 4240 4368 4380 4452 4732 4745 4823 5070 5088 5110 5408 5460 5512 5565 5694 5840 5915 5936 6132 6240 6360 6643 6760 6890 7008 7098 7280 7420 7592 7665 7738 8112 8176 8268 8480 8736 8760 8904 8957 9464 9490 9646 10140 10220 10335 10920 11024 11130 11388 11607 11680 11830 11872 12264 12337 12720 13286 13520 13780 14196 14235 14469 14560 14840 15184 15330 15476 16224 16352 16536 17520 17745 17808 17914 18928 18980 19121 19292 19345 19929 20280 20440 20670 21840 22048 22260 22776 23214 23660 24115 24528 24674 25440 26572 26871 27040 27083 27560 28392 28470 28938 29680 30368 30660 30952 33072 33215 35040 35490 35616 35828 37011 37856 37960 38242 38584 38690 39858 40560 40880 41340 43680 44520 44785 45552 46428 47320 48230 49056 49348 50297 53144 53742 54166 55120 56784 56940 57363 57876 58035 59360 61320 61685 61904 62699 66144 66430 70980 71656 72345 74022 75920 76484 77168 77380 79716 81120 81249 81760 82680 86359 89040 89570 91104 92856 94640 95605 96460 98696 99645 100594 106288 107484 108332 110240 113568 113880 114726 115752 116070 122640 123370 123808 125398 132860 133847 134355 135415 141960 143312 144690 148044 150891 151840 152968 154336 154760 159432 162498 165360 172718 178080 179140 185055 185712 188097 189280 191210 192920 197392 199290 201188 212576 214968 216664 227760 229452 231504 232140 245280 246740 248573 250796 251485 259077 265720 267694 268710 270830 283920 286624 286815 289380 296088 301782 305936 309520 313495 318864 324996 330720 345436 352079 358280 370110 371424 376194 382420 385840 394784 398580 401541 402376 406245 429936 431795 433328 455520 458904 463008 464280 493480 497146 501592 502970 518154 531440 535388 537420 541660 567840 573630 578760 592176 603564 611872 619040 626990 637728 649992 653861 669235 690872 704158 716560 740220 745719 752388 754455 764840 771680 797160 803082 804752 812490 859872 863590 866656 917808 928560 940485 986960 994292 1003184 1005940 1013413 1036308 1056237 1062880 1070776 1074840 1083320 1147260 1157520 1184352 1207128 1242865 1253980 1295385 1299984 1307722 1338470 1381744 1395833 1408316 1433120 1480440 1491438 1504776 1508910 1529680 1594320 1606164 1609504 1624980 1727180 1740011 1760395 1835616 1857120 1880970 1961583 1973920 1988584 2006368 2007705 2011880 2026826 2072616 2112474 2141552 2149680 2166640 2294520 2315040 2414256 2485730 2507960 2590770 2599968 2615444 2676940 2763488 2791666 2816632 2960880 2982876 3009552 3017820 3040239 3059360 3188640 3212328 3231449 3249960 3269305 3454360 3480022 3520790 3728595 3761940 3923166 3977168 4015410 4023760 4053652 4145232 4187499 4224948 4283104 4299360 4333280 4577027 4589040 4828512 4971460 5015920 5067065 5181540 5220033 5230888 5281185 5353880 5583332 5633264 5921760 5965752 6019104 6035640 6080478 6424656 6462898 6499920 6538610 6908720 6960044 6979165 7041580 7093891 7457190 7523880 7846332 7954336 8030820 8047520 8107304 8290464 8374998 8449896 8700055 9154054 9178080 9694347 9770831 9807915 9942920 10031840 10134130 10363080 10440066 10461776 10562370 10707760 11166664 11266528 11931504 12071280 12160956 12849312 12925796 12999840 13077220 13174369 13731081 13817440 13920088 13958330 14083160 14187782 14914380 15047760 15201195 15692664 16061640 16157245 16214608 16749996 16899792 17400110 18145829 18308108 19388694 19541662 19615830 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127020803 129257960 131743690 133999968 135720858 137310810 139200880 141877820 145166632 146464864 146562465 147958298 155109552 156333296 156926640 158092428 162146080 167041056 167499960 168997920 170253384 171266797 180961144 181458290 183081080 184441166 193886940 195416620 197615535 208801320 210789904 212816730 217749948 219697296 221937447 223333280 226201430 227004512 234499944 235895777 243219120 254041606 258515920 263487380 271441716 272187435 274621620 276661749 278401760 283755640 290333264 293124930 295916596 310219104 312666592 313853280 316184856 334999920 339302145 340506768 342533594 361922288 362916580 366162160 368882332 369895745 381062409 387773880 390833240 395231070 417602640 421579808 425633460 435499896 439394592 443874894 452402860 461102915 468999888 471791554 486438240 508083212 513800391 517031840 517854043 526974760 542883432 544374870 549243240 553323498 567511280 580666528 586249860 591833192 632369712 635104015 669999840 678604290 681013536 685067188 707687331 723844576 725833160 732324320 737764664 739791490 762124818 775547760 781666480 790462140 835205280 851266920 856333985 870999792 887749788 904805720 922205830 937999776 943583108 961728937 1016166424 1027600782 1035708086 1053949520 1085766864 1088749740 1098486480 1106646996 1109687235 1135022560 1172499720 1179478885 1183666384 1198867579 1264739424 1270208030 1357208580 1370134376 1383308745 1415374662 1451666320 1475529328 1479582980 1524249636 1551095520 1553562129 1563332960 1580924280 1651270439 1702533840 1712667970 1741999584 1775499576 1809611440 1844411660 1887166216 1905312045 1923457874 2032332848 2055201564 2071416172 2107899040 2171533728 2177499480 2196972960 2213293992 2219374470 2344999440 2358957770 2367332768 2397735158 2540416060 2569001955 2589270215 2714417160 2740268752 2766617490 2830749324 2885186811 2903332640 2951058656 2959165960 3048499272 3107124258 3161848560 3302540878 3405067680 3425335940 3538436655 3550999152 3596602737 3619222880 3688823320 3774332432 3810624090 3846915748 4064665696 4110403128 4142832344 4354998960 4426587984 4438748940 4689998880 4717915540 4795470316 4808644685 4953811317 5080832120 5138003910 5178540430 5428834320 5480537504 5533234980 5661498648 5770373622 5918331920 5994337895 6096998544 6214248516 6323697120 6605081756 6732102559 6850671880 7076873310 7101998304 7193205474 7377646640 7548664864 7621248180 7693831496 7767810645 8220806256 8256352195 8285664688 8709997920 8853175968 8877497880 9435831080 9590940632 9617289370 9907622634 10161664240 10276007820 10357080860 10857668640 11066469960 11322997296 11540747244 11836663840 11988675790 12193997088 12428497032 12502476181 13210163512 13464205118 13701343760 14153746620 14386410948 14425934055 14755293280 15242496360 15387662992 15535621290 16441612512 16512704390 16571329376 17754995760 17983013685 18871662160 19181881264 19234578740 19815245268 20196307677 20323328480 20552015640 20714161720 22132939920 22645994592 23081494488 23977351580 24769056585 24856994064 25004952362 26420327024 26928410236 27402687520 28307493240 28772821896 28851868110 30484992720 30775325984 31071242580 33025408780 33660512795 35509991520 35966027370 37507428543 37743324320 38363762528 38469157480 39630490536 40392615354 41104031280 41428323440 44265879840 46162988976 47954703160 49538113170 49713988128 50009904724 52840654048 53856820472 56614986480 57545643792 57703736220 60969985440 62142485160 62512380905 66050817560 67321025590 71932054740 75014857086 76938314960 79260981072 80785230708 82208062560 82856646880 87517333267 92325977952 95909406320 99076226340 100019809448 100981538385 107713640944 113229972960 115091287584 115407472440 124284970320 125024761810 132101635120 134642051180 143864109480 150029714172 153876629920 158521962144 161570461416 175034666534 187537142715 191818812640 198152452680 200039618896 201963076770 215427281888 230814944880 248569940640 250049523620 262551999801 264203270240 269284102360 287728218960 300059428344 323140922832 350069333068 375074285430 396304905360 400079237792 403926153540 437586666335 461629889760 500099047240 525103999602 538568204720 575456437920 600118856688 646281845664 700138666136 750148570860 792609810720 807852307080 875173332670 1000198094480 1050207999204 1077136409440 1200237713376 1312759999005 1400277332272 1500297141720 1615704614160 1750346665340 2000396188960 2100415998408 2625519998010 2800554664544 3000594283440 3231409228320 3500693330680 4200831996816 5251039996020 6001188566880 7001386661360 8401663993632 10502079992040 14002773322720 21004159984080 42008319968160
- Sum of all divisors σ(n): 169142077794816
- Sum of proper divisors (its aliquot sum) s(n): 127133757826656
- 42008319968160 is an abundant number, because the sum of its proper divisors (127133757826656) is greater than itself. Its abundance is 85125437858496
Bases of 42008319968160
- Binary: 10011000110100110100101111110101000011101000002
- Hexadecimal: 0x2634D2FD43A0
- Base-36: EW2CT33XC
Squares and roots of 42008319968160
- 42008319968160 squared (420083199681602) is 1764698946547310183413785600
- 42008319968160 cubed (420083199681603) is 74132037994034286866038641656297066496000
-
The
square root of 42008319968160 is 6481382.5661011555 -
The
cube root of 42008319968160 is 34762.5615696233
Scales and comparisons
How big is 42008319968160?- 42,008,319,968,160 seconds is equal to 1,335,734 years, 33 weeks, 56 minutes.
-
To count from 1 to 42,008,319,968,160 would take you about three million, three hundred thirty-nine thousand, three hundred thirty-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 42008319968160 cubic inches would be around 2896.9 feet tall.
Recreational maths with 42008319968160
- 42008319968160 backwards is 06186991380024
- The number of decimal digits it has is: 14
- The sum of 42008319968160's digits is 57
- More coming soon!
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The information we have on file for 42008319968160 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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