42153928416000
42,153,928,416,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 42153928416000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
42153928416000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 42153928416000:
28 × 33 × 53 × 172 × 401 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 17 × 401 × 421)See below for interesting mathematical facts about the number 42153928416000 from the Numbermatics database.
Names of 42153928416000
- Cardinal: 42153928416000 can be written as Forty-two trillion, one hundred fifty-three billion, nine hundred twenty-eight million, four hundred sixteen thousand.
Scientific notation
- Scientific notation: 4.2153928416 × 1013
Factors of 42153928416000
Divisors of 42153928416000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 64 68 72 75 80 85 90 96 100 102 108 120 125 128 135 136 144 150 153 160 170 180 192 200 204 216 225 240 250 255 256 270 272 288 289 300 306 320 340 360 375 384 400 401 408 421 425 432 450 459 480 500 510 540 544 576 578 600 612 640 675 680 720 750 765 768 800 802 816 842 850 864 867 900 918 960 1000 1020 1080 1088 1125 1152 1156 1200 1203 1224 1263 1275 1280 1350 1360 1440 1445 1500 1530 1600 1604 1632 1684 1700 1728 1734 1800 1836 1920 2000 2005 2040 2105 2125 2160 2176 2250 2295 2304 2312 2400 2406 2448 2526 2550 2601 2700 2720 2880 2890 3000 3060 3200 3208 3264 3368 3375 3400 3456 3468 3600 3609 3672 3789 3825 3840 4000 4010 4080 4210 4250 4320 4335 4352 4500 4590 4624 4800 4812 4896 5052 5100 5202 5400 5440 5760 5780 6000 6015 6120 6315 6375 6400 6416 6528 6736 6750 6800 6817 6912 6936 7157 7200 7218 7225 7344 7578 7650 7803 8000 8020 8160 8420 8500 8640 8670 9000 9180 9248 9600 9624 9792 10025 10104 10200 10404 10525 10800 10827 10880 11367 11475 11520 11560 12000 12030 12240 12630 12750 12832 13005 13056 13472 13500 13600 13634 13872 14314 14400 14436 14450 14688 15156 15300 15606 16000 16040 16320 16840 17000 17280 17340 18000 18045 18360 18496 18945 19125 19200 19248 19584 20050 20208 20400 20451 20808 21050 21471 21600 21654 21675 21760 22734 22950 23120 24000 24060 24480 25260 25500 25664 26010 26944 27000 27200 27268 27744 28628 28800 28872 28900 29376 30075 30312 30600 31212 31575 32000 32080 32640 33680 34000 34085 34560 34680 35785 36000 36090 36125 36720 36992 37890 38250 38496 39015 39168 40100 40416 40800 40902 41616 42100 42942 43200 43308 43350 45468 45900 46240 48000 48120 48960 50125 50520 51000 51328 52020 52625 53888 54000 54135 54400 54536 55488 56835 57256 57375 57600 57744 57800 58752 60150 60624 61200 61353 62424 63150 64160 64413 65025 65280 67360 68000 68170 69360 71570 72000 72180 72250 73440 73984 75780 76500 76992 78030 80200 80832 81600 81804 83232 84200 85884 86400 86616 86700 90225 90936 91800 92480 94725 96000 96240 97920 100250 101040 102000 102255 102656 104040 105250 107355 107776 108000 108270 108375 108800 109072 110976 113670 114512 114750 115488 115600 115889 117504 120300 121248 121669 122400 122706 124848 126300 128320 128826 130050 134720 136000 136340 138720 143140 144000 144360 144500 146880 150375 151560 153000 153984 156060 157875 160400 161664 163200 163608 166464 168400 168821 170425 171768 172800 173232 173400 178925 180450 181872 183600 184059 184960 189450 192480 193239 195075 195840 200500 202080 204000 204510 208080 210500 214710 216000 216540 216750 218144 221952 227340 229024 229500 230976 231200 231778 240600 242496 243338 244800 245412 249696 252600 256640 257652 260100 269440 270675 272000 272680 277440 284175 286280 288000 288720 289000 293760 300750 303120 306000 306765 307968 312120 315750 320800 322065 323328 325125 326400 327216 332928 336800 337642 340850 343536 346464 346800 347667 357850 360900 363744 365007 367200 368118 369920 378900 384960 386478 390150 401000 404160 408000 409020 416160 421000 429420 432000 433080 433500 436288 451125 454680 458048 459000 461952 462400 463556 473625 481200 484992 486676 489600 490824 499392 505200 506463 511275 513280 515304 520200 536775 538880 541350 544000 545360 554880 568350 572560 577440 578000 579445 587520 601500 606240 608345 612000 613530 624240 631500 641600 644130 650250 654432 665856 673600 675284 681700 687072 692928 693600 695334 715700 721800 727488 730014 734400 736236 757800 769920 772956 780300 802000 808320 816000 818040 832320 842000 844105 852125 858840 864000 866160 867000 872576 894625 902250 909360 916096 918000 920295 923904 924800 927112 947250 962400 966195 969984 973352 975375 979200 981648 998784 1010400 1012926 1022550 1030608 1040400 1043001 1073550 1082700 1090720 1095021 1109760 1136700 1145120 1154880 1156000 1158890 1203000 1212480 1216690 1224000 1227060 1248480 1263000 1283200 1288260 1300500 1308864 1347200 1350568 1353375 1363400 1374144 1385856 1387200 1390668 1420875 1431400 1443600 1454976 1460028 1468800 1472472 1515600 1519389 1533825 1539840 1545912 1560600 1604000 1610325 1616640 1632000 1636080 1664640 1684000 1688210 1704250 1717680 1732320 1734000 1738335 1745152 1789250 1804500 1818720 1825035 1832192 1836000 1840590 1849600 1854224 1894500 1924800 1932390 1946704 1950750 1963296 1997568 2020800 2025852 2045100 2061216 2080800 2086002 2147100 2165400 2181440 2190042 2273400 2290240 2309760 2312000 2317780 2406000 2424960 2433380 2448000 2454120 2496960 2526000 2532315 2556375 2566400 2576520 2601000 2617728 2683875 2694400 2701136 2706750 2726800 2748288 2771712 2774400 2781336 2841750 2862800 2869957 2887200 2897225 2909952 2920056 2937600 2944944 3031200 3038778 3041725 3067650 3091824 3121200 3129003 3208000 3220650 3272160 3285063 3329280 3368000 3376420 3408500 3435360 3464640 3468000 3476670 3578500 3609000 3637440 3650070 3672000 3681180 3708448 3789000 3849600 3864780 3893408 3901500 3926592 4041600 4051704 4090200 4122432 4161600 4172004 4220525 4294200 4330800 4362880 4380084 4546800 4558167 4580480 4601475 4619520 4624000 4635560 4812000 4830975 4849920 4866760 4896000 4908240 4993920 5052000 5064630 5112750 5153040 5202000 5215005 5235456 5367750 5402272 5413500 5453600 5475105 5496576 5548800 5562672 5683500 5725600 5739914 5774400 5794450 5840112 5889888 6062400 6077556 6083450 6135300 6183648 6242400 6258006 6416000 6441300 6544320 6570126 6736000 6752840 6817000 6870720 6929280 6936000 6953340 7157000 7218000 7274880 7300140 7344000 7362360 7416896 7578000 7596945 7669125 7699200 7729560 7786816 7803000 7853184 8051625 8083200 8103408 8180400 8244864 8323200 8344008 8441050 8588400 8609871 8661600 8691675 8725760 8760168 9093600 9116334 9125175 9160960 9202950 9248000 9271120 9624000 9661950 9733520 9816480 9987840 10104000 10129260 10225500 10306080 10404000 10430010 10735500 10804544 10827000 10907200 10950210 11125344 11367000 11451200 11479828 11548800 11588900 11680224 11779776 12124800 12155112 12166900 12270600 12367296 12484800 12516012 12661575 12832000 12882600 13088640 13140252 13472000 13505680 13634000 13741440 13858560 13872000 13906680 14314000 14349785 14436000 14486125 14549760 14600280 14688000 14724720 14833792 15156000 15193890 15208625 15338250 15459120 15573632 15606000 15645015 15706368 16103250 16206816 16360800 16425315 16489728 16646400 16688016 16882100 17176800 17219742 17323200 17383350 17520336 18187200 18232668 18250350 18405900 18542240 19248000 19323900 19467040 19632960 20208000 20258520 20451000 20612160 20808000 20860020 21102625 21471000 21609088 21654000 21814400 21900420 22250688 22734000 22790835 22902400 22959656 23007375 23097600 23177800 23360448 23559552 24154875 24249600 24310224 24333800 24541200 24734592 24969600 25032024 25323150 25765200 25829613 26075025 26177280 26280504 27011360 27268000 27375525 27482880 27744000 27813360 28628000 28699570 28872000 28972250 29200560 29449440 29667584 30312000 30387780 30417250 30676500 30918240 31147264 31212000 31290030 32206500 32413632 32721600 32850630 33376032 33764200 34353600 34439484 34646400 34766700 35040672 36374400 36465336 36500700 36811800 37084480 37984725 38496000 38647800 38934080 39265920 40416000 40517040 40902000 41224320 41616000 41720040 42205250 42942000 43049355 43218176 43308000 43458375 43628800 43800840 44501376 45468000 45581670 45625875 45804800 45919312 46014750 46355600 46720896 47119104 48309750 48620448 48667600 48789269 49082400 49469184 49939200 50064048 50646300 51530400 51659226 52150050 52561008 54022720 54536000 54751050 55626720 57256000 57399140 57744000 57944500 58401120 58898880 60624000 60775560 60834500 61353000 61836480 62424000 62580060 63307875 64413000 64827264 65443200 65701260 66752064 67528400 68707200 68878968 69292800 69533400 70081344 71748925 72748800 72930672 73001400 73623600 74168960 75969450 77295600 77488839 77868160 78225075 78531840 81034080 81804000 82126575 82448640 83232000 83440080 84410500 85884000 86098710 86616000 86916750 87601680 89002752 90936000 91163340 91251750 91838624 92029500 92711200 93441792 96619500 97240896 97335200 97578538 98164800 100128096 101292600 103060800 103318452 104300100 105122016 108045440 109072000 109502100 111253440 113954175 114512000 114798280 115488000 115889000 116802240 117797760 121248000 121551120 121669000 122706000 123672960 124848000 125160120 126615750 128826000 129148065 129654528 130375125 130886400 131402520 133504128 135056800 136877625 137414400 137757936 139066800 140162688 143497850 145861344 146002800 146367807 147247200 148337920 151938900 154591200 154977678 155736320 156450150 162068160 163608000 164253150 166880160 168821000 171768000 172197420 173232000 173833500 175203360 181872000 182326680 182503500 183677248 184059000 185422400 189923625 193239000 194481792 194670400 195157076 196329600 200256192 202585200 206121600 206636904 208600200 210244032 215246775 216090880 218144000 219004200 222506880 227908350 229024000 229596560 231778000 233604480 235595520 243102240 243338000 243946345 245412000 247345920 249696000 250320240 253231500 257652000 258296130 260750250 262805040 267008256 270113600 273755250 275515872 278133600 280325376 286995700 291722688 292005600 292735614 294494400 303877800 309182400 309955356 312900300 324136320 327216000 328506300 333760320 337642000 343536000 344394840 346464000 347667000 350406720 358744625 363744000 364653360 365007000 367354496 368118000 370844800 379847250 386478000 387444195 388963584 389340800 390314152 391125375 392659200 400512384 405170400 410632875 412243200 413273808 417200400 420488064 430493550 438008400 439103421 445013760 455816700 459193120 463556000 467208960 486204480 486676000 487892690 490824000 500640480 506463000 515304000 516592260 521500500 525610080 540227200 547510500 551031744 556267200 569770875 573991400 583445376 584011200 585471228 588988800 607755600 618364800 619910712 625800600 645740325 648272640 654432000 657012600 667520640 675284000 687072000 688789680 695334000 700813440 717489250 729306720 730014000 731839035 734708992 736236000 741689600 759694500 772956000 774888390 778681600 780628304 782250750 801024768 810340800 821265750 826547616 834400800 840976128 860987100 876016800 878206842 911633400 918386240 927112000 972408960 973352000 975785380 981648000 1001280960 1012926000 1030608000 1033184520 1043001000 1051220160 1076233875 1080454400 1095021000 1102063488 1112534400 1139541750 1147982800 1166890752 1168022400 1170942456 1177977600 1215511200 1219731725 1236729600 1239821424 1251601200 1291480650 1314025200 1317310263 1335041280 1350568000 1377579360 1390668000 1401626880 1434978500 1458613440 1460028000 1463678070 1472472000 1519389000 1545912000 1549776780 1561256608 1564501500 1620681600 1642531500 1653095232 1668801600 1721974200 1752033600 1756413684 1823266800 1836772480 1854224000 1937220975 1944817920 1946704000 1951570760 1963296000 2002561920 2025852000 2061216000 2066369040 2086002000 2102440320 2152467750 2190042000 2195517105 2204126976 2225068800 2279083500 2295965600 2336044800 2341884912 2431022400 2439463450 2479642848 2503202400 2582961300 2628050400 2634620526 2701136000 2755158720 2781336000 2869957000 2917226880 2920056000 2927356140 2944944000 3038778000 3091824000 3099553560 3122513216 3129003000 3228701625 3241363200 3285063000 3306190464 3337603200 3443948400 3504067200 3512827368 3646533600 3659195175 3673544960 3708448000 3874441950 3893408000 3903141520 4005123840 4051704000 4132738080 4172004000 4204880640 4304935500 4380084000 4391034210 4558167000 4591931200 4683769824 4862044800 4878926900 4959285696 5006404800 5165922600 5256100800 5269241052 5402272000 5510317440 5562672000 5739914000 5834453760 5840112000 5854712280 5889888000 6077556000 6098658625 6183648000 6199107120 6245026432 6258006000 6457403250 6570126000 6586551315 6612380928 6675206400 6887896800 7008134400 7025654736 7293067200 7318390350 7748883900 7806283040 8103408000 8265476160 8344008000 8609871000 8760168000 8782068420 9116334000 9183862400 9367539648 9686104875 9724089600 9757853800 9918571392 10012809600 10331845200 10512201600 10538482104 10977585525 11020634880 11125344000 11479828000 11680224000 11709424560 12155112000 12197317250 12398214240 12490052864 12516012000 12914806500 13140252000 13173102630 13775793600 14051309472 14586134400 14636780700 15497767800 15612566080 16206816000 16530952320 16688016000 17219742000 17520336000 17564136840 18232668000 18295975875 18367724800 18735079296 19372209750 19515707600 19837142784 20025619200 20663690400 21024403200 21076964208 21955171050 22959656000 23418849120 24310224000 24394634500 24796428480 25032024000 25829613000 26280504000 26346205260 27551587200 28102618944 29172268800 29273561400 30995535600 31225132160 32932756575 33061904640 33376032000 34439484000 35040672000 35128273680 36465336000 36591951750 37470158592 38744419500 39031415200 41327380800 42153928416 43910342100 45919312000 46837698240 48620448000 48789269000 49592856960 50064048000 51659226000 52561008000 52692410520 54887927625 55103174400 56205237888 58547122800 61991071200 62450264320 65865513150 68878968000 70256547360 72930672000 73183903500 77488839000 78062830400 82654761600 84307856832 87820684200 91838624000 93675396480 97578538000 99185713920 100128096000 103318452000 105122016000 105384821040 109775855250 112410475776 117094245600 123982142400 131731026300 137757936000 140513094720 145861344000 146367807000 154977678000 156125660800 164663782875 165309523200 168615713664 175641368400 187350792960 195157076000 206636904000 210769642080 219551710500 234188491200 247964284800 263462052600 275515872000 281026189440 292735614000 309955356000 312251321600 329327565750 337231427328 351282736800 390314152000 413273808000 421539284160 439103421000 468376982400 495928569600 526924105200 562052378880 585471228000 619910712000 658655131500 702565473600 780628304000 826547616000 843078568320 878206842000 936753964800 1053848210400 1170942456000 1239821424000 1317310263000 1405130947200 1561256608000 1686157136640 1756413684000 2107696420800 2341884912000 2479642848000 2634620526000 2810261894400 3512827368000 4215392841600 4683769824000 5269241052000 7025654736000 8430785683200 10538482104000 14051309472000 21076964208000 42153928416000
- Sum of all divisors σ(n): 166066628757120
- Sum of proper divisors (its aliquot sum) s(n): 123912700341120
- 42153928416000 is an abundant number, because the sum of its proper divisors (123912700341120) is greater than itself. Its abundance is 81758771925120
Bases of 42153928416000
- Binary: 10011001010110101110011110110111011011000000002
- Hexadecimal: 0x2656B9EDDB00
- Base-36: EXX8WLHC0
Squares and roots of 42153928416000
- 42153928416000 squared (421539284160002) is 1776953680901252269056000000
- 42153928416000 cubed (421539284160003) is 74905578263259094514544195895296000000000
-
The
square root of 42153928416000 is 6492605.6723013757 -
The
cube root of 42153928416000 is 34802.6796985255
Scales and comparisons
How big is 42153928416000?- 42,153,928,416,000 seconds is equal to 1,340,364 years, 27 weeks, 5 days.
-
To count from 1 to 42,153,928,416,000 would take you about three million, three hundred fifty thousand, nine hundred eleven 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 42153928416000 cubic inches would be around 2900.2 feet tall.
Recreational maths with 42153928416000
- 42153928416000 backwards is 00061482935124
- 42153928416000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42153928416000's digits is 45
- More coming soon!
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The information we have on file for 42153928416000 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!
Keywords: Divisors of 42153928416000, math, Factors of 42153928416000, curriculum, school, college, exams, university, Prime factorization of 42153928416000, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, one hundred fifty-three billion, nine hundred twenty-eight million, four hundred sixteen thousand.