6424142161920
6,424,142,161,920 is an even composite number composed of seven prime numbers multiplied together.
6424142161920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 6424142161920:
211 × 3 × 5 × 73 × 31 × 71 × 277
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 31 × 71 × 277)See below for interesting mathematical facts about the number 6424142161920 from the Numbermatics database.
Names of 6424142161920
- Cardinal: 6424142161920 can be written as Six trillion, four hundred twenty-four billion, one hundred forty-two million, one hundred sixty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 6.42414216192 × 1012
Factors of 6424142161920
Divisors of 6424142161920
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 32 35 40 42 48 49 56 60 62 64 70 71 80 84 93 96 98 105 112 120 124 128 140 142 147 155 160 168 186 192 196 210 213 217 224 240 245 248 256 277 280 284 294 310 320 336 343 355 372 384 392 420 426 434 448 465 480 490 496 497 512 554 560 568 588 620 640 651 672 686 710 735 744 768 784 831 840 852 868 896 930 960 980 992 994 1024 1029 1065 1085 1108 1120 1136 1176 1240 1280 1302 1344 1372 1385 1420 1470 1488 1491 1519 1536 1568 1662 1680 1704 1715 1736 1792 1860 1920 1939 1960 1984 1988 2048 2058 2130 2170 2201 2216 2240 2272 2352 2480 2485 2560 2604 2688 2744 2770 2840 2940 2976 2982 3038 3072 3136 3255 3324 3360 3408 3430 3472 3479 3584 3720 3840 3878 3920 3968 3976 4116 4155 4260 4340 4402 4432 4480 4544 4557 4704 4960 4970 5120 5145 5208 5376 5488 5540 5680 5817 5880 5952 5964 6076 6144 6272 6510 6603 6648 6720 6816 6860 6944 6958 7168 7440 7455 7595 7680 7756 7840 7936 7952 8232 8310 8520 8587 8680 8804 8864 8960 9088 9114 9408 9695 9920 9940 10240 10290 10416 10437 10633 10752 10976 11005 11080 11360 11634 11760 11904 11928 12152 12544 13020 13206 13296 13440 13573 13632 13720 13888 13916 14336 14880 14910 15190 15360 15407 15512 15680 15872 15904 16464 16620 17040 17174 17360 17395 17608 17728 17920 18176 18228 18816 19390 19667 19840 19880 20580 20832 20874 21266 21504 21952 22010 22160 22720 22785 23268 23520 23808 23856 24304 24353 25088 25761 26040 26412 26592 26880 27146 27264 27440 27776 27832 29085 29760 29820 30380 30720 30814 31024 31360 31744 31808 31899 32928 33015 33240 34080 34348 34720 34790 35216 35456 35840 36352 36456 37632 38780 39334 39680 39760 40719 41160 41664 41748 42532 42935 43008 43904 44020 44320 45440 45570 46221 46536 47040 47616 47712 48608 48706 50176 51522 52080 52185 52824 53165 53184 53760 54292 54528 54880 55552 55664 58170 59001 59520 59640 60109 60760 61628 62048 62720 63488 63616 63798 65856 66030 66480 67865 68160 68696 69440 69580 70432 70912 71680 72704 72912 73059 75264 77035 77560 78668 79360 79520 81438 82320 83328 83496 85064 85870 87808 88040 88640 90880 91140 92442 93072 94080 95011 95232 95424 97216 97412 98335 100352 103044 104160 104370 105648 106330 106368 107520 107849 108584 109056 109760 111104 111328 116340 118002 119040 119280 120218 121520 121765 123256 124096 125440 127232 127596 128805 131712 132060 132960 135730 136320 137392 137669 138880 139160 140864 141824 145408 145824 146118 150528 154070 155120 157336 158720 159040 159495 162876 164640 166656 166992 170128 171740 175616 176080 177280 180327 181760 182280 184884 186144 188160 190022 190464 190848 194432 194824 196670 203595 206088 208320 208740 211296 212660 212736 215040 215698 217168 218112 219520 222208 222656 231105 232680 236004 238080 238560 240436 243040 243530 246512 248192 250880 254464 255192 257610 263424 264120 265920 271460 272640 274784 275338 277760 278320 281728 283648 285033 291648 292236 295005 300545 301056 308140 310240 314672 317440 318080 318990 323547 325752 329280 333312 333984 340256 343480 351232 352160 354560 360654 363520 364560 365295 369768 372288 376320 380044 381696 388864 389648 393340 407190 412176 413007 416640 417480 420763 422592 425320 425472 431396 434336 436224 439040 444416 445312 462210 465360 472008 475055 476160 477120 480872 486080 487060 493024 496384 501760 508928 510384 515220 526848 528240 531840 539245 542920 545280 549568 550676 555520 556640 563456 567296 570066 583296 584472 590010 601090 609677 616280 620480 629344 636160 637980 647094 651504 658560 666624 667968 680512 686960 688345 702464 704320 709120 721308 727040 729120 730590 739536 744576 752640 754943 760088 763392 777728 779296 786680 814380 824352 826014 833280 834960 841526 845184 850640 850944 862792 868672 878080 890624 901635 924420 930720 944016 950110 952320 954240 961744 963683 972160 974120 986048 992768 1017856 1020768 1030440 1053696 1056480 1063680 1078490 1085840 1090560 1099136 1101352 1111040 1113280 1126912 1140132 1166592 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3606540 3658062 3697680 3722880 3774715 3776064 3800440 3816960 3846976 3854732 3888640 3896480 3944192 3971072 4083072 4121760 4130070 4207630 4225920 4254720 4267739 4313960 4343360 4396544 4405408 4453120 4507648 4529658 4560528 4666368 4675776 4720080 4808720 4818415 4877416 4930240 4963840 5034752 5049156 5089280 5103840 5176752 5212032 5268480 5343744 5444096 5495680 5506760 5634560 5700660 5770464 5782098 5832960 5844720 5890682 5916288 5956608 6039544 6080704 6096770 6234368 6293440 6311445 6470940 6515040 6594816 6608112 6666240 6679680 6732208 6745781 6761472 6805120 6902336 6949376 7124992 7213080 7316124 7395360 7445760 7549430 7552128 7600880 7633920 7693952 7709464 7777280 7792960 7888384 8166144 8243520 8260140 8415260 8451840 8509440 8535478 8627920 8686720 8793088 8810816 8836023 8906240 9059316 9121056 9145155 9332736 9351552 9440160 9617440 9636830 9754832 9860480 9927680 10069504 10098312 10207680 10353504 10424064 10536960 10687488 10888192 10991360 11013520 11269120 11324145 11401320 11540928 11564196 11665920 11689440 11781364 11832576 11913216 12079088 12161408 12193540 12468736 12586880 12622890 12803217 12941880 13030080 13189632 13216224 13359360 13464416 13491562 13522944 13610240 13804672 13898752 14426160 14455245 14632248 14726705 14790720 14891520 15098860 15104256 15201760 15267840 15387904 15418928 15554560 15585920 15776768 16332288 16487040 16520280 16830520 16903680 17070956 17255840 17373440 17586176 17621632 17672046 17812480 18118632 18242112 18290310 18703104 18880320 19234880 19273660 19509664 19720960 19855360 20139008 20196624 20237343 20415360 20707008 20848128 21338695 21374976 21776384 21982720 22027040 22538240 22648290 22802640 23081856 23128392 23331840 23378880 23562728 23665152 24158176 24322816 24387080 24937472 25173760 25245780 25606434 25883760 26060160 26379264 26432448 26718720 26928832 26983124 27220480 27609344 27797504 28852320 28910490 29264496 29453410 29581440 29783040 29874173 30197720 30208512 30403520 30775808 30837856 31171840 31553536 32664576 32974080 33040560 33661040 33728905 33807360 34141912 34511680 34746880 35243264 35344092 35624960 36237264 36484224 36580620 37406208 37760640 38469760 38547320 39019328 39441920 40278016 40393248 40474686 40830720 41414016 41696256 42677390 43965440 44054080 44180115 45296580 45605280 46163712 46256784 46663680 46757760 47125456 47330304 48316352 48645632 48774160 49874944 50347520 50491560 51212868 51767520 52120320 52758528 52864896 53437440 53857664 53966248 54440960 55218688 57704640 57820980 58528992 58906820 59162880 59566080 59748346 60395440 60417024 60807040 61551616 61675712 62343680 64016085 65329152 65948160 66081120 67322080 67457810 67614720 68283824 69023360 69493760 70486528 70688184 72474528 72968448 73161240 74812416 75521280 76939520 77094640 78038656 78883840 80786496 80949372 81661440 82828032 83392512 85354780 87930880 88108160 88360230 89622519 90593160 91210560 92327424 92513568 93515520 94250912 94660608 96632704 97291264 97548320 100695040 100983120 101186715 102425736 103535040 104240640 105729792 106874880 107715328 107932496 108881920 110437376 115409280 115641960 117057984 117813640 118325760 119496692 120790880 120834048 121614080 123103232 123351424 124687360 128032170 131896320 132162240 134644160 134915620 136567648 138046720 138987520 140973056 141376368 144949056 145936896 146322480 149370865 149624832 151042560 153879040 154189280 156077312 157767680 161572992 161898744 163322880 165656064 170709560 176216320 176720460 179245038 181186320 182421120 184654848 185027136 187031040 188501824 193265408 194582528 195096640 201390080 201966240 202373430 204851472 207070080 208481280 209119211 211459584 215430656 215864992 220874752 230818560 231283920 234115968 235627280 236651520 238993384 241581760 243228160 246702848 249374720 256064340 263792640 264324480 269288320 269831240 273135296 276093440 281946112 282752736 289898112 291873792 292644960 298741730 302085120 307758080 308378560 312154624 323145984 323797488 326645760 331312128 341419120 352432640 353440920 358490076 362372640 364842240 369309696 370054272 374062080 377003648 386530816 390193280 403932480 404746860 409702944 414140160 416962560 418238422 422919168 430861312 431729984 448112595 461637120 462567840 468231936 471254560 473303040 477986768 483163520 486456320 493405696 512128680 528648960 538576640 539662480 546270592 552186880 565505472 579796224 583747584 585289920 597483460 604170240 615516160 616757120 624309248 627357633 646291968 647594976 662624256 682838240 704865280 706881840 716980152 724745280 729684480 740108544 748124160 754007296 773061632 780386560 807864960 809493720 819405888 828280320 836476844 845838336 861722624 863459968 896225190 923274240 925135680 936463872 942509120 955973536 966327040 972912640 986811392 1024257360 1045596055 1057297920 1077153280 1079324960 1092541184 1104373760 1131010944 1159592448 1170579840 1194966920 1233514240 1248618496 1254715266 1292583936 1295189952 1365676480 1409730560 1413763680 1433960304 1449490560 1459368960 1480217088 1508014592 1546123264 1560773120 1615729920 1618987440 1638811776 1656560640 1672953688 1726919936 1792450380 1846548480 1850271360 1872927744 1885018240 1911947072 1932654080 1973622784 2048514720 2091192110 2114595840 2154306560 2158649920 2185082368 2262021888 2319184896 2341159680 2389933840 2467028480 2509430532 2585167872 2590379904 2731352960 2827527360 2867920608 2898981120 2918737920 2960434176 3016029184 3121546240 3136788165 3231459840 3237974880 3277623552 3313121280 3345907376 3453839872 3584900760 3700542720 3745855488 3770036480 3823894144 3865308160 4097029440 4182384220 4229191680 4308613120 4317299840 4370164736 4524043776 4638369792 4682319360 4779867680 4934056960 5018861064 5180759808 5462705920 5655054720 5735841216 5797962240 5920868352 6032058368 6243092480 6273576330 6462919680 6475949760 6555247104 6691814752 6907679744 7169801520 7401085440 7540072960 7647788288 7730616320 8194058880 8364768440 8634599680 8740329472 9048087552 9364638720 9559735360 9868113920 10037722128 10361519616 10925411840 11310109440 11471682432 11595924480 12547152660 12925839360 12951899520 13110494208 13383629504 13815359488 14339603040 14802170880 15080145920 15295576576 16388117760 16729536880 17269199360 18096175104 18729277440 19119470720 20075444256 20723039232 21850823680 22620218880 22943364864 23191848960 25094305320 25903799040 26220988416 26767259008 28679206080 29604341760 30160291840 30591153152 32776235520 33459073760 34538398720 38238941440 40150888512 41446078464 43701647360 45240437760 45886729728 50188610640 51807598080 53534518016 57358412160 61182306304 65552471040 66918147520 69076797440 76477882880 80301777024 90480875520 91773459456 100377221280 103615196160 107069036032 114716824320 131104942080 133836295040 152955765760 160603554048 183546918912 200754442560 207230392320 214138072064 229433648640 267672590080 305911531520 321207108096 401508885120 428276144128 458867297280 535345180160 642414216192 803017770240 917734594560 1070690360320 1284828432384 1606035540480 2141380720640 3212071080960 6424142161920
- Sum of all divisors σ(n): 25179807744000
- Sum of proper divisors (its aliquot sum) s(n): 18755665582080
- 6424142161920 is an abundant number, because the sum of its proper divisors (18755665582080) is greater than itself. Its abundance is 12331523420160
Bases of 6424142161920
- Binary: 10111010111101111001011011000101000000000002
- Hexadecimal: 0x5D7BCB62800
- Base-36: 29Z7KDKAO
Squares and roots of 6424142161920
- 6424142161920 squared (64241421619202) is 41269602516558171498086400
- 6424142161920 cubed (64241421619203) is 265121793532301084445158890838949888000
-
The
square root of 6424142161920 is 2534589.1505172985 -
The
cube root of 6424142161920 is 18589.6714556049
Scales and comparisons
How big is 6424142161920?- 6,424,142,161,920 seconds is equal to 204,267 years, 44 weeks, 1 day, 5 hours, 52 minutes.
-
To count from 1 to 6,424,142,161,920 would take you about five hundred ten thousand, six hundred sixty-nine 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 6424142161920 cubic inches would be around 1549.1 feet tall.
Recreational maths with 6424142161920
- 6424142161920 backwards is 0291612414246
- 6424142161920 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 6424142161920's digits is 42
- More coming soon!
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"Number 6424142161920 - Facts about the integer". Numbermatics.com. 2024. Web. 20 May 2024.
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Numbermatics. (2024). Number 6424142161920 - Facts about the integer. Retrieved 20 May 2024, from https://numbermatics.com/n/6424142161920/
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Keywords: Divisors of 6424142161920, math, Factors of 6424142161920, curriculum, school, college, exams, university, Prime factorization of 6424142161920, STEM, science, technology, engineering, physics, economics, calculator, six trillion, four hundred twenty-four billion, one hundred forty-two million, one hundred sixty-one thousand, nine hundred twenty.