142139408735767296000
142,139,408,735,767,296,000 is an even composite number composed of five prime numbers multiplied together.
142139408735767296000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 142139408735767296000:
211 × 3 × 53 × 7 × 319
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 31 × 31 × 31 × 31 × 31 × 31 × 31 × 31 × 31)See below for interesting mathematical facts about the number 142139408735767296000 from the Numbermatics database.
Names of 142139408735767296000
- Cardinal: 142139408735767296000 can be written as One hundred forty-two quintillion, one hundred thirty-nine quadrillion, four hundred eight trillion, seven hundred thirty-five billion, seven hundred sixty-seven million, two hundred ninety-six thousand.
Scientific notation
- Scientific notation: 1.42139408735767296 × 1020
Factors of 142139408735767296000
Divisors of 142139408735767296000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 31 32 35 40 42 48 50 56 60 62 64 70 75 80 84 93 96 100 105 112 120 124 125 128 140 150 155 160 168 175 186 192 200 210 217 224 240 248 250 256 280 300 310 320 336 350 372 375 384 400 420 434 448 465 480 496 500 512 525 560 600 620 640 651 672 700 744 750 768 775 800 840 868 875 896 930 960 961 992 1000 1024 1050 1085 1120 1200 1240 1280 1302 1344 1400 1488 1500 1536 1550 1600 1680 1736 1750 1792 1860 1920 1922 1984 2000 2048 2100 2170 2240 2325 2400 2480 2560 2604 2625 2688 2800 2883 2976 3000 3072 3100 3200 3255 3360 3472 3500 3584 3720 3840 3844 3875 3968 4000 4200 4340 4480 4650 4800 4805 4960 5120 5208 5250 5376 5425 5600 5766 5952 6000 6144 6200 6400 6510 6720 6727 6944 7000 7168 7440 7680 7688 7750 7936 8000 8400 8680 8960 9300 9600 9610 9920 10240 10416 10500 10752 10850 11200 11532 11625 11904 12000 12400 12800 13020 13440 13454 13888 14000 14336 14415 14880 15360 15376 15500 15872 16000 16275 16800 17360 17920 18600 19200 19220 19840 20181 20832 21000 21504 21700 22400 23064 23250 23808 24000 24025 24800 25600 26040 26880 26908 27125 27776 28000 28830 29760 29791 30720 30752 31000 31744 32000 32550 33600 33635 34720 35840 37200 38400 38440 39680 40362 41664 42000 43008 43400 44800 46128 46500 47616 48000 48050 49600 51200 52080 53760 53816 54250 55552 56000 57660 59520 59582 61504 62000 63488 64000 65100 67200 67270 69440 71680 72075 74400 76800 76880 79360 80724 81375 83328 84000 86800 89373 89600 92256 93000 95232 96000 96100 99200 100905 104160 107520 107632 108500 111104 112000 115320 119040 119164 120125 123008 124000 128000 130200 134400 134540 138880 144150 148800 148955 153600 153760 158720 161448 162750 166656 168000 168175 173600 178746 179200 184512 186000 190464 192000 192200 198400 201810 208320 208537 215040 215264 217000 222208 224000 230640 238080 238328 240250 246016 248000 256000 260400 268800 269080 277760 288300 297600 297910 307520 317440 322896 325500 333312 336000 336350 347200 357492 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5970237262087000 6113522956377088 6162825560864000 6345509318561040 6550203167546880 6609905540167750 6768543273131776 6823128299528000 7043229212416000 7164284714504400 7395390673036800 7403094204987880 7641903695471360 7931886648201300 8187753959433600 8460679091414720 8733604223395840 8883713045985456 8955355893130500 9170284434565632 9244238341296000 9253867756234850 9552379619339200 9860520897382400 9914858310251625 10152814909697664 10234692449292000 10564843818624000 10575848864268400 10917005279244800 11104641307481820 11462855543207040 11844950727980608 11940474524174000 12227045912754176 12325651121728000 12691018637122080 13100406335093760 13219811080335500 13537086546263552 13646256599056000 13880801634352275 14328569429008800 14790781346073600 14806188409975760 15283807390942720 15863773296402600 16375507918867200 16921358182829440 17767426091970912 17910711786261000 18340568869131264 18488476682592000 18507735512469700 19104759238678400 19829716620503250 20305629819395328 20469384898584000 21129687637248000 21151697728536800 21834010558489600 22209282614963640 22925711086414080 23134669390587125 23689901455961216 23880949048348000 24651302243456000 25382037274244160 26200812670187520 26439622160671000 27074173092527104 27292513198112000 27761603268704550 28657138858017600 29581562692147200 29612376819951520 30567614781885440 31727546592805200 32751015837734400 33842716365658880 35534852183941824 35821423572522000 36681137738262528 36976953365184000 37015471024939400 38209518477356800 39659433241006500 40611259638790656 40938769797168000 42303395457073600 43668021116979200 44418565229927280 45851422172828160 46269338781174250 47379802911922432 47761898096696000 49302604486912000 50764074548488320 52879244321342000 54148346185054208 54585026396224000 55523206537409100 57314277716035200 59224753639903040 61135229563770880 63455093185610400 65502031675468800 67685432731317760 69404008171761375 71069704367883648 71642847145044000 73953906730368000 74030942049878800 76419036954713600 79318866482013000 81222519277581312 81877539594336000 84606790914147200 88837130459854560 91702844345656320 92538677562348500 94759605823844864 95523796193392000 101528149096976640 105758488642684000 109170052792448000 111046413074818200 114628555432070400 118449507279806080 126910186371220800 131004063350937600 135370865462635520 138808016343522750 142139408735767296 143285694290088000 147907813460736000 148061884099757600 152838073909427200 158637732964026000 162445038555162624 163755079188672000 169213581828294400 177674260919709120 183405688691312640 185077355124697000 189519211647689728 191047592386784000 203056298193953280 211516977285368000 218340105584896000 222092826149636400 229257110864140800 236899014559612160 253820372742441600 270741730925271040 277616032687045500 284278817471534592 286571388580176000 296123768199515200 305676147818854400 317275465928052000 327510158377344000 338427163656588800 355348521839418240 370154710249394000 379038423295379456 382095184773568000 406112596387906560 423033954570736000 444185652299272800 458514221728281600 473798029119224320 507640745484883200 555232065374091000 568557634943069184 573142777160352000 592247536399030400 634550931856104000 655020316754688000 676854327313177600 710697043678836480 740309420498788000 764190369547136000 812225192775813120 846067909141472000 888371304598545600 917028443456563200 947596058238448640 1015281490969766400 1110464130748182000 1137115269886138368 1146285554320704000 1184495072798060800 1269101863712208000 1353708654626355200 1421394087357672960 1480618840997576000 1528380739094272000 1692135818282944000 1776742609197091200 1895192116476897280 2030562981939532800 2220928261496364000 2292571108641408000 2368990145596121600 2538203727424416000 2842788174715345920 2961237681995152000 3384271636565888000 3553485218394182400 4061125963879065600 4441856522992728000 4585142217282816000 4737980291192243200 5076407454848832000 5685576349430691840 5922475363990304000 6768543273131776000 7106970436788364800 8883713045985456000 9475960582384486400 10152814909697664000 11844950727980608000 14213940873576729600 17767426091970912000 20305629819395328000 23689901455961216000 28427881747153459200 35534852183941824000 47379802911922432000 71069704367883648000 142139408735767296000
- Sum of all divisors σ(n): 558501271775012966400
- Sum of proper divisors (its aliquot sum) s(n): 416361863039245670400
- 142139408735767296000 is an abundant number, because the sum of its proper divisors (416361863039245670400) is greater than itself. Its abundance is 274222454303478374400
Bases of 142139408735767296000
- Binary: 11110110100100101001001111100101000100001110111011011111000000000002
- Hexadecimal: 0x7B4949F288776F800
- Base-36: TZWPJ7WRL105C
Squares and roots of 142139408735767296000
- 142139408735767296000 squared (1421394087357672960002) is 20203611515753520299755049863151616000000
- 142139408735767296000 cubed (1421394087357672960003) is 2871729395176344663703594365990734212639562542350336000000000
-
The
square root of 142139408735767296000 is 11922223313.4498573693 -
The
cube root of 142139408735767296000 is 5218810.1878560043
Scales and comparisons
How big is 142139408735767296000?- 142,139,408,735,767,296,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 142,139,408,735,767,296,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 142139408735767296000 cubic inches would be around 434900.8 feet tall.
Recreational maths with 142139408735767296000
- 142139408735767296000 backwards is 000692767537804931241
- 142139408735767296000 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 142139408735767296000's digits is 84
- More coming soon!
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"Number 142139408735767296000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 September 2024.
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Numbermatics. (2024). Number 142139408735767296000 - Facts about the integer. Retrieved 21 September 2024, from https://numbermatics.com/n/142139408735767296000/
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The information we have on file for 142139408735767296000 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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