8142164352000
8,142,164,352,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 8142164352000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2112 divisors.
8142164352000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 8142164352000:
210 × 32 × 53 × 7 × 29 × 37 × 941
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 29 × 37 × 941)See below for interesting mathematical facts about the number 8142164352000 from the Numbermatics database.
Names of 8142164352000
- Cardinal: 8142164352000 can be written as Eight trillion, one hundred forty-two billion, one hundred sixty-four million, three hundred fifty-two thousand.
Scientific notation
- Scientific notation: 8.142164352 × 1012
Factors of 8142164352000
Divisors of 8142164352000
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 29 30 32 35 36 37 40 42 45 48 50 56 58 60 63 64 70 72 74 75 80 84 87 90 96 100 105 111 112 116 120 125 126 128 140 144 145 148 150 160 168 174 175 180 185 192 200 203 210 222 224 225 232 240 250 252 256 259 261 280 288 290 296 300 315 320 333 336 348 350 360 370 375 384 400 406 420 435 444 448 450 464 480 500 504 512 518 522 525 555 560 576 580 592 600 609 630 640 666 672 696 700 720 725 740 750 768 777 800 812 840 870 875 888 896 900 925 928 941 960 1000 1008 1015 1024 1036 1044 1050 1073 1110 1120 1125 1152 1160 1184 1200 1218 1260 1280 1295 1305 1332 1344 1392 1400 1440 1450 1480 1500 1536 1554 1575 1600 1624 1665 1680 1740 1750 1776 1792 1800 1827 1850 1856 1882 1920 2000 2016 2030 2072 2088 2100 2146 2175 2220 2240 2250 2304 2320 2331 2368 2400 2436 2520 2560 2590 2610 2625 2664 2688 2775 2784 2800 2823 2880 2900 2960 3000 3045 3072 3108 3150 3200 3219 3248 3330 3360 3480 3500 3552 3584 3600 3625 3654 3700 3712 3764 3840 3885 4000 4032 4060 4144 4176 4200 4292 4350 4440 4480 4500 4608 4625 4640 4662 4705 4736 4800 4872 5040 5075 5120 5180 5220 5250 5328 5365 5376 5550 5568 5600 5646 5760 5800 5920 6000 6090 6216 6300 6400 6438 6475 6496 6525 6587 6660 6720 6960 7000 7104 7168 7200 7250 7308 7400 7424 7511 7528 7680 7770 7875 8000 8064 8120 8288 8325 8352 8400 8469 8584 8700 8880 8960 9000 9135 9216 9250 9280 9324 9410 9472 9600 9657 9744 10080 10150 10360 10440 10500 10656 10730 10752 10875 11100 11136 11200 11292 11520 11600 11655 11840 12000 12180 12432 12600 12800 12876 12950 12992 13050 13174 13320 13440 13875 13920 14000 14115 14208 14400 14500 14616 14800 14848 15022 15056 15225 15360 15540 15750 16000 16095 16128 16240 16576 16650 16704 16800 16938 17168 17400 17760 17920 18000 18270 18500 18560 18648 18820 18944 19200 19314 19425 19488 19761 20160 20300 20720 20880 21000 21312 21460 21504 21750 22200 22272 22400 22533 22584 23040 23200 23310 23525 23680 24000 24360 24864 25200 25375 25600 25752 25900 25984 26100 26348 26640 26825 26880 27289 27750 27840 28000 28230 28416 28800 29000 29232 29600 29696 30044 30112 30450 31080 31500 32000 32190 32256 32375 32480 32625 32935 33152 33300 33408 33600 33876 34336 34800 34817 35520 35840 36000 36540 37000 37120 37296 37555 37640 37888 38400 38628 38850 38976 39522 40320 40600 41440 41625 41760 42000 42345 42624 42920 43500 44400 44544 44800 45066 45168 45675 46080 46400 46620 47050 47360 48000 48285 48720 49728 50400 50750 51504 51800 51968 52200 52696 53280 53650 53760 54578 55500 55680 56000 56460 56832 57600 58000 58275 58464 59200 59283 60088 60224 60900 62160 63000 64000 64380 64512 64750 64960 65250 65870 66304 66600 66816 67200 67599 67752 68672 69600 69634 70575 71040 72000 73080 74000 74240 74592 75110 75280 76125 76800 77256 77700 77952 79044 80475 80640 81200 81867 82880 83250 83520 84000 84690 85248 85840 87000 88800 89088 89600 90132 90336 91350 92800 93240 94100 94720 96000 96570 97125 97440 98805 99456 100800 101500 103008 103600 103936 104400 104451 105392 106560 107300 107520 109156 111000 111360 112000 112665 112920 113664 115200 116000 116550 116928 117625 118400 118566 120176 120448 121800 124320 126000 128000 128760 129500 129920 130500 131740 132608 133200 133632 134125 134400 135198 135504 136445 137344 139200 139268 141150 142080 144000 146160 148000 148480 149184 150220 150560 152250 154512 155400 155904 158088 160950 161280 162400 163734 164675 165760 166500 167040 168000 169380 170496 171680 174000 174085 177600 179200 180264 180672 182700 185600 186480 187775 188200 189440 191023 192000 193140 194250 194880 197610 198912 201600 203000 206016 207200 207872 208800 208902 210784 211725 213120 214600 218312 222000 222720 224000 225330 225840 228375 230400 232000 233100 233856 235250 236800 237132 240352 240896 241425 243600 243719 245601 248640 252000 257520 259000 259840 261000 263480 265216 266400 267264 268250 268800 270396 271008 272890 274688 278400 278536 282300 284160 288000 291375 292320 296000 296415 298368 300440 301120 304500 309024 310800 311808 313353 316176 321900 322560 324800 327468 329350 331520 333000 334080 336000 337995 338760 340992 343360 348000 348170 352875 355200 360528 361344 365400 371200 372960 375550 376400 382046 384000 386280 388500 389760 395220 397824 402375 403200 406000 409335 412032 414400 417600 417804 421568 423450 426240 429200 436624 444000 445440 448000 450660 451680 456750 464000 466200 467712 470500 473600 474264 480704 481792 482850 487200 487438 491202 494025 497280 504000 515040 518000 519680 522000 522255 526960 532800 536500 537600 540792 542016 545780 549376 556800 557072 563325 564600 568320 573069 576000 582750 584640 592000 592830 596736 600880 602240 609000 618048 621600 623616 626706 632352 643800 649600 654936 658700 663040 666000 668160 672000 675990 677520 682225 686720 696000 696340 705750 710400 721056 722688 730800 731157 742400 745920 751100 752800 764092 772560 777000 779520 790440 795648 804750 806400 812000 818670 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4584552 4662000 4677120 4736000 4742640 4775575 4807040 4817920 4828500 4872000 4874380 4912020 4940250 4944384 4972800 5013648 5048465 5058816 5150400 5196800 5222550 5239488 5269600 5328000 5407920 5420160 5457800 5493760 5568000 5570720 5633250 5646000 5730690 5768448 5846400 5849256 5928300 5967360 6008800 6022400 6058158 6092975 6112736 6140025 6180480 6216000 6267060 6323520 6438000 6496000 6549360 6587000 6630400 6681600 6684864 6745088 6759900 6775200 6822250 6867200 6876828 6963400 6985984 7067851 7104000 7210560 7226880 7308000 7311570 7410375 7459200 7511000 7528000 7588224 7640920 7691264 7725600 7795200 7799008 7833825 7859232 7904400 8064000 8077544 8186700 8240640 8288000 8352000 8356080 8431360 8449875 8469000 8524800 8584000 8596035 8652672 8672256 8704250 8732480 8773884 8913152 9013200 9033600 9087237 9169104 9324000 9354240 9485280 9551150 9614080 9657000 9744000 9748760 9824040 9880500 9888768 9945600 10027296 10096930 10117632 10233375 10300800 10445100 10478976 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731157000 733528320 748704768 757269750 758822400 764092000 775444224 779900800 785923200 802183680 807754400 835608000 843136000 848142120 859603500 865267200 873248000 877388400 880233984 883481375 891315200 904684928 908723700 916910400 935880960 948528000 961408000 969305280 974876000 978037760 982404000 1002729600 1009693000 1017770544 1033925632 1047897600 1060177650 1081584000 1084032000 1096735500 1100292480 1114144000 1123057152 1130856160 1135904625 1146138000 1163166336 1169851200 1211631600 1222547200 1236096000 1247841280 1253412000 1257477120 1264704000 1272213180 1292407040 1309872000 1336972800 1357027392 1375365600 1403821440 1413570200 1442112000 1453957920 1462314000 1467056640 1514539500 1517644800 1528184000 1550888448 1559801600 1571846400 1590266475 1604367360 1615508800 1671216000 1696284240 1719207000 1730534400 1746496000 1754776800 1760467968 1766962750 1809369856 1817447400 1833820800 1871761920 1897056000 1938610560 1949752000 1964808000 2005459200 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7335283200 7588224000 7754442240 7799008000 7859232000 7951332375 8021836800 8077544000 8142164352 8481421200 8652672000 8773884000 8802339840 9046849280 9087237000 9169104000 9305330688 9358809600 9693052800 10027296000 10177705440 10478976000 10601776500 10856219136 11002924800 11230571520 11308561600 11631663360 11698512000 12116316000 12225472000 12722131800 12924070400 13369728000 13570273920 13753656000 14038214400 14135702000 14539579200 14670566400 15508884480 15598016000 15718464000 15902664750 16155088000 16284328704 16962842400 17547768000 18093698560 18174474000 18338208000 18717619200 19386105600 20054592000 20355410880 21203553000 21712438272 22005849600 22617123200 23263326720 23397024000 24232632000 24450944000 25444263600 25848140800 27140547840 27507312000 28076428800 28271404000 29079158400 31196032000 31436928000 31805329500 32310176000 32568657408 33925684800 35095536000 36187397120 36348948000 36676416000 38772211200 40109184000 40710821760 42407106000 44011699200 45234246400 46526653440 46794048000 48465264000 50888527200 54281095680 55014624000 56152857600 56542808000 58158316800 63610659000 64620352000 65137314816 67851369600 70191072000 72697896000 73352832000 77544422400 81421643520 84814212000 90468492800 93588096000 96930528000 101777054400 108562191360 110029248000 113085616000 116316633600 127221318000 129240704000 135702739200 140382144000 145395792000 162843287040 169628424000 180936985600 193861056000 203554108800 220058496000 226171232000 232633267200 254442636000 271405478400 280764288000 290791584000 325686574080 339256848000 387722112000 407108217600 452342464000 508885272000 542810956800 581583168000 678513696000 814216435200 904684928000 1017770544000 1163166336000 1357027392000 1628432870400 2035541088000 2714054784000 4071082176000 8142164352000
- Sum of all divisors σ(n): 35664121808640
- Sum of proper divisors (its aliquot sum) s(n): 27521957456640
- 8142164352000 is an abundant number, because the sum of its proper divisors (27521957456640) is greater than itself. Its abundance is 19379793104640
Bases of 8142164352000
- Binary: 11101100111101111101101000001011100000000002
- Hexadecimal: 0x767BED05C00
- Base-36: 2VWGIFI80
Squares and roots of 8142164352000
- 8142164352000 squared (81421643520002) is 66294840334979579904000000
- 8142164352000 cubed (81421643520003) is 539783485697002474142284382208000000000
-
The
square root of 8142164352000 is 2853447.8008192125 -
The
cube root of 8142164352000 is 20117.7753799381
Scales and comparisons
How big is 8142164352000?- 8,142,164,352,000 seconds is equal to 258,895 years, 33 weeks, 2 days, 8 hours.
-
To count from 1 to 8,142,164,352,000 would take you about six hundred forty-seven thousand, two hundred thirty-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 8142164352000 cubic inches would be around 1676.5 feet tall.
Recreational maths with 8142164352000
- 8142164352000 backwards is 0002534612418
- 8142164352000 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 8142164352000's digits is 36
- More coming soon!
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"Number 8142164352000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 8142164352000 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/8142164352000/
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The information we have on file for 8142164352000 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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