42668262432000
42,668,262,432,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 42668262432000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
42668262432000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 42668262432000:
28 × 34 × 53 × 61 × 421 × 641
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 61 × 421 × 641)See below for interesting mathematical facts about the number 42668262432000 from the Numbermatics database.
Names of 42668262432000
- Cardinal: 42668262432000 can be written as Forty-two trillion, six hundred sixty-eight billion, two hundred sixty-two million, four hundred thirty-two thousand.
Scientific notation
- Scientific notation: 4.2668262432 × 1013
Factors of 42668262432000
Divisors of 42668262432000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 61 64 72 75 80 81 90 96 100 108 120 122 125 128 135 144 150 160 162 180 183 192 200 216 225 240 244 250 256 270 288 300 305 320 324 360 366 375 384 400 405 421 432 450 480 488 500 540 549 576 600 610 640 641 648 675 720 732 750 768 800 810 842 864 900 915 960 976 1000 1080 1098 1125 1152 1200 1220 1263 1280 1282 1296 1350 1440 1464 1500 1525 1600 1620 1647 1684 1728 1800 1830 1920 1923 1952 2000 2025 2105 2160 2196 2250 2304 2400 2440 2526 2564 2592 2700 2745 2880 2928 3000 3050 3200 3205 3240 3294 3368 3375 3456 3600 3660 3789 3840 3846 3904 4000 4050 4210 4320 4392 4500 4575 4800 4880 4941 5052 5128 5184 5400 5490 5760 5769 5856 6000 6100 6315 6400 6410 6480 6588 6736 6750 6912 7200 7320 7578 7625 7692 7808 8000 8100 8235 8420 8640 8784 9000 9150 9600 9615 9760 9882 10104 10125 10256 10368 10525 10800 10980 11367 11520 11538 11712 12000 12200 12630 12820 12960 13176 13472 13500 13725 14400 14640 15156 15250 15384 15616 16000 16025 16200 16470 16840 17280 17307 17568 18000 18300 18945 19200 19230 19520 19764 20208 20250 20512 20736 21050 21600 21960 22734 22875 23076 23424 24000 24400 24705 25260 25640 25681 25920 26352 26944 27000 27450 28800 28845 29280 30312 30500 30768 31575 32000 32050 32400 32940 33680 34101 34560 34614 35136 36000 36600 37890 38460 39040 39101 39528 40416 40500 41024 41175 42100 43200 43920 45468 45750 46152 46848 48000 48075 48800 49410 50520 51280 51362 51840 51921 52625 52704 53888 54000 54900 56835 57600 57690 58560 60624 61000 61536 63150 64100 64800 65880 67360 68202 68625 69228 70272 72000 73200 75780 76920 77043 78080 78202 79056 80125 80832 81000 82048 82350 84200 86400 86535 87840 90936 91500 92304 94725 96000 96150 97600 98820 101040 102560 102724 103680 103842 105250 105408 107776 108000 109800 113670 115380 117120 117303 121248 122000 123072 123525 126300 128200 128405 129600 131760 134720 136404 137250 138456 140544 144000 144225 146400 151560 153840 154086 156404 157875 158112 160250 161664 162000 164096 164700 168400 170505 172800 173070 175680 181872 183000 184608 189450 192300 195200 195505 197640 202080 205120 205448 205875 207684 210500 210816 216000 219600 227340 230760 231129 234240 234606 240375 242496 244000 246144 247050 252600 256400 256810 259200 259605 263520 269440 269861 272808 274500 276912 284175 288000 288450 292800 303120 307680 308172 312808 315750 316224 320500 323328 324000 329400 336800 341010 346140 351360 351909 363744 366000 369216 378900 384600 385215 390400 391010 395280 404160 410240 410896 411750 415368 421000 421632 432000 432675 439200 454680 461520 462258 469212 473625 480750 484992 488000 492288 494100 505200 512800 513620 518400 519210 527040 538880 539722 545616 549000 553824 568350 576900 585600 586515 606240 615360 616344 617625 625616 631500 632448 641000 642025 648000 658800 673600 682020 692280 693387 702720 703818 721125 727488 732000 738432 757800 769200 770430 782020 790560 808320 809583 820480 821792 823500 830736 842000 852525 864000 865350 878400 909360 923040 924516 938424 947250 961500 969984 976000 977525 988200 1010400 1025600 1027240 1038420 1054080 1055727 1079444 1091232 1098000 1107648 1136700 1153800 1155645 1171200 1173030 1212480 1230720 1232688 1235250 1251232 1263000 1264896 1282000 1284050 1296000 1298025 1317600 1347200 1349305 1364040 1384560 1386774 1407636 1420875 1442250 1454976 1464000 1476864 1515600 1538400 1540860 1564040 1581120 1616640 1619166 1643584 1647000 1661472 1684000 1705050 1730700 1756800 1759545 1818720 1846080 1849032 1876848 1894500 1923000 1926075 1952000 1955050 1976400 2020800 2051200 2054480 2076840 2080161 2108160 2111454 2158888 2163375 2182464 2196000 2215296 2273400 2307600 2311290 2346060 2424960 2428749 2461440 2465376 2470500 2502464 2526000 2564000 2568100 2592000 2596050 2635200 2694400 2698610 2728080 2769120 2773548 2815272 2841750 2884500 2909952 2928000 2932575 3031200 3076800 3081720 3128080 3162240 3167181 3210125 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133130304 134930500 135133056 136404000 138456000 138677400 140763600 145724940 147922560 148153689 150147840 154086000 155439936 156404000 158112000 158359050 161916600 164358400 164615210 166147200 166412880 168916320 172711040 173346750 174869928 175954500 177507072 181872000 182156175 184608000 184903200 187684800 194299920 197538252 202395750 202699584 205448000 207253248 207684000 208016100 211145400 215888800 218246400 218587410 221883840 225221760 231129000 233159904 234606000 242874900 246537600 246922815 250246400 253374480 259066560 260020125 263384336 263931750 266260608 269861000 270266112 272808000 276912000 277354800 281527200 291449880 295845120 296307378 303593625 308172000 310879872 312808000 316718100 323833200 329230420 332294400 332825760 337832640 345422080 346693500 349739856 351909000 363744000 364312350 369806400 375369600 388599840 395076504 395897625 404791500 405399168 410896000 411538025 415368000 416032200 422290800 431777600 437174820 443767680 444461067 450443520 462258000 466319808 469212000 485749800 493075200 493845630 506748960 518133120 520040250 526768672 527863500 532521216 539722000 545616000 546468525 553824000 554709600 563054400 582899760 592614756 607187250 616344000 621759744 625616000 633436200 647666400 658460840 665651520 675665280 693387000 699479712 703818000 728624700 739612800 740768445 750739200 777199680 790153008 791795250 809583000 810798336 821792000 823076050 830736000 832064400 844581600 863555200 874349640 887535360 888922134 910780875 924516000 932639616 938424000 971499600 987691260 1013497920 1036266240 1040080500 1053537344 1055727000 1079444000 1091232000 1092937050 1109419200 1126108800 1165799520 1185229512 1214374500 1232688000 1234614075 1251232000 1266872400 1295332800 1316921680 1331303040 1333383201 1351330560 1386774000 1398959424 1407636000 1457249400 1479225600 1481536890 1554399360 1580306016 1583590500 1619166000 1646152100 1661472000 1664128800 1689163200 1727110400 1748699280 1777844268 1821561750 1849032000 1865279232 1876848000 1942999200 1975382520 2026995840 2057690125 2080161000 2107074688 2111454000 2158888000 2185874100 2218838400 2222305335 2252217600 2331599040 2370459024 2428749000 2465376000 2469228150 2533744800 2590665600 2633843360 2662606080 2666766402 2732342625 2773548000 2797918848 2815272000 2914498800 2963073780 3108798720 3160612032 3167181000 3238332000 3292304200 3328257600 3378326400 3497398560 3555688536 3643123500 3698064000 3703842225 3753696000 3885998400 3950765040 4053991680 4115380250 4160322000 4214149376 4222908000 4317776000 4371748200 4437676800 4444610670 4663198080 4740918048 4857498000 4938456300 5067489600 5181331200 5267686720 5333532804 5464685250 5547096000 5595837696 5630544000 5828997600 5926147560 6173070375 6321224064 6334362000 6476664000 6584608400 6656515200 6666916005 6756652800 6994797120 7111377072 7286247000 7396128000 7407684450 7771996800 7901530080 8230760500 8320644000 8445816000 8635552000 8743496400 8889221340 9326396160 9481836096 9714996000 9876912600 10134979200 10535373440 10667065608 10929370500 11094192000 11111526675 11261088000 11657995200 11852295120 12346140750 12642448128 12668724000 12953328000 13169216800 13313030400 13333832010 13989594240 14222754144 14572494000 14815368900 15543993600 15803060160 16461521000 16641288000 16891632000 17486992800 17778442680 18519211125 18963672192 19429992000 19753825200 20269958400 21070746880 21334131216 21858741000 22188384000 22223053350 23315990400 23704590240 24692281500 25337448000 25906656000 26338433600 26667664020 27979188480 28445508288 29144988000 29630737800 31606120320 32923042000 33282576000 33334580025 33783264000 34973985600 35556885360 37038422250 37927344384 38859984000 39507650400 42668262432 43717482000 44446106700 46631980800 47409180480 49384563000 50674896000 52676867200 53335328040 55557633375 56891016576 58289976000 59261475600 63212240640 65846084000 66565152000 66669160050 69947971200 71113770720 74076844500 77719968000 79015300800 85336524864 87434964000 88892213400 94818360960 98769126000 101349792000 105353734400 106670656080 111115266750 113782033152 116579952000 118522951200 131692168000 133338320100 139895942400 142227541440 148153689000 158030601600 166672900125 170673049728 174869928000 177784426800 189636721920 197538252000 213341312160 222230533500 233159904000 237045902400 263384336000 266676640200 284455082880 296307378000 316061203200 333345800250 341346099456 349739856000 355568853600 395076504000 426682624320 444461067000 474091804800 526768672000 533353280400 568910165760 592614756000 666691600500 699479712000 711137707200 790153008000 853365248640 888922134000 948183609600 1066706560800 1185229512000 1333383201000 1422275414400 1580306016000 1706730497280 1777844268000 2133413121600 2370459024000 2666766402000 2844550828800 3555688536000 4266826243200 4740918048000 5333532804000 7111377072000 8533652486400 10667065608000 14222754144000 21334131216000 42668262432000
- Sum of all divisors σ(n): 162020525835168
- Sum of proper divisors (its aliquot sum) s(n): 119352263403168
- 42668262432000 is an abundant number, because the sum of its proper divisors (119352263403168) is greater than itself. Its abundance is 76684000971168
Bases of 42668262432000
- Binary: 10011011001110011110101010000000011101000000002
- Hexadecimal: 0x26CE7AA01D00
- Base-36: F4HJ1SG00
Squares and roots of 42668262432000
- 42668262432000 squared (426682624320002) is 1820580618966022554624000000
- 42668262432000 cubed (426682624320003) is 77681011628655246851927887085568000000000
-
The
square root of 42668262432000 is 6532094.7966176975 -
The
cube root of 42668262432000 is 34943.6542182151
Scales and comparisons
How big is 42668262432000?- 42,668,262,432,000 seconds is equal to 1,356,718 years, 39 weeks, 5 days.
-
To count from 1 to 42,668,262,432,000 would take you about three million, three hundred ninety-one thousand, seven hundred ninety-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 42668262432000 cubic inches would be around 2912 feet tall.
Recreational maths with 42668262432000
- 42668262432000 backwards is 00023426286624
- 42668262432000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42668262432000's digits is 45
- More coming soon!
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"Number 42668262432000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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The information we have on file for 42668262432000 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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