126438201379872000
126,438,201,379,872,000 is an even composite number composed of six prime numbers multiplied together.
126438201379872000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, nine hundred sixteen divisors.
Prime factorization of 126438201379872000:
28 × 32 × 53 × 192 × 432 × 8112
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 19 × 19 × 43 × 43 × 811 × 811)See below for interesting mathematical facts about the number 126438201379872000 from the Numbermatics database.
Names of 126438201379872000
- Cardinal: 126438201379872000 can be written as One hundred twenty-six quadrillion, four hundred thirty-eight trillion, two hundred one billion, three hundred seventy-nine million, eight hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.26438201379872 × 1017
Factors of 126438201379872000
Divisors of 126438201379872000
- Number of divisors d(n): 2916
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 30 32 36 38 40 43 45 48 50 57 60 64 72 75 76 80 86 90 95 96 100 114 120 125 128 129 144 150 152 160 171 172 180 190 192 200 215 225 228 240 250 256 258 285 288 300 304 320 342 344 360 361 375 380 384 387 400 430 450 456 475 480 500 516 570 576 600 608 640 645 684 688 720 722 750 760 768 774 800 811 817 855 860 900 912 950 960 1000 1032 1075 1083 1125 1140 1152 1200 1216 1280 1290 1368 1376 1425 1440 1444 1500 1520 1548 1600 1622 1634 1710 1720 1800 1805 1824 1849 1900 1920 1935 2000 2064 2150 2166 2250 2280 2304 2375 2400 2432 2433 2451 2580 2736 2752 2850 2880 2888 3000 3040 3096 3200 3225 3244 3249 3268 3420 3440 3600 3610 3648 3698 3800 3840 3870 4000 4055 4085 4128 4275 4300 4332 4500 4560 4750 4800 4864 4866 4902 5160 5375 5415 5472 5504 5547 5700 5760 5776 6000 6080 6192 6400 6450 6488 6498 6536 6840 6880 7125 7200 7220 7296 7299 7353 7396 7600 7740 8000 8110 8170 8256 8550 8600 8664 9000 9025 9120 9245 9500 9600 9675 9732 9804 10320 10750 10830 10944 11008 11094 11400 11520 11552 12000 12160 12165 12255 12384 12900 12976 12996 13072 13680 13760 14250 14400 14440 14592 14598 14706 14792 15200 15409 15480 15523 16000 16125 16220 16245 16340 16512 16641 17100 17200 17328 18000 18050 18240 18490 19000 19200 19350 19464 19608 20275 20425 20640 21375 21500 21660 21888 22188 22800 23104 24000 24320 24330 24510 24768 25800 25952 25992 26144 27075 27360 27520 27735 28500 28800 28880 29196 29412 29584 30400 30818 30960 31046 32000 32250 32440 32490 32680 33024 33282 34200 34400 34656 34873 35131 36000 36100 36480 36495 36765 36980 38000 38700 38928 39216 40550 40850 41280 42750 43000 43320 43776 44376 45125 45600 46208 46225 46227 46569 48000 48375 48660 49020 49536 51600 51904 51984 52288 54150 54720 55040 55470 57000 57600 57760 58392 58824 59168 60800 60825 61275 61636 61920 62092 64500 64880 64980 65360 66564 68400 68800 69312 69746 70262 72000 72200 72960 72990 73530 73960 76000 77045 77400 77615 77856 78432 81100 81225 81700 82560 83205 85500 86000 86640 88752 90250 91200 92416 92450 92454 93138 96000 96750 97320 98040 99072 101375 102125 103200 103808 103968 104576 104619 105393 108300 109440 110940 114000 115520 116784 117648 118336 121600 121650 122550 123272 123840 124184 129000 129760 129960 130720 133128 135375 136800 137600 138624 138675 138681 139492 139707 140524 144000 144400 145980 147060 147920 152000 154090 154800 155230 155712 156864 162200 162450 163400 165120 166410 171000 172000 173280 174365 175655 177504 180500 182400 182475 183825 184900 184908 186276 193500 194640 196080 202750 204250 206400 207616 207936 209152 209238 210786 216600 218880 221880 228000 231040 231125 231135 232845 233568 235296 236672 243300 245100 246544 247680 248368 258000 259520 259920 261440 266256 270750 273600 275200 277248 277350 277362 278984 279414 281048 288000 288800 291960 292771 294120 295840 304000 304125 306375 308180 309600 310460 311424 313728 313857 316179 324400 324900 326800 332820 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5880846575808 5915237491456 6125881849800 6190364816640 6236162830080 6448296684000 6496002948000 6534273973120 6585322988535 6654642177888 6838193692800 6931918935300 7004886503040 7024344521104 7296756774000 7351058219760 7394046864320 7597992992000 7657352312250 7737956020800 7783207225600 7795203537600 7841128767744 7902387586242 8145216864000 8167842466400 8205477408000 8318302722360 8547742116000 8597728912000 8661337264000 8664898669125 8756108128800 8780430651380 8872856237184 9188822774700 9242558580400 9672445026000 9729009032000 9744004422000 9801410959680 10209803083000 10317274694400 10393604716800 10397878402950 10536516781656 10945135161000 10975538314225 11091070296480 11396989488000 11486028468375 11553198225500 11674810838400 11761693151616 12251763699600 12896593368000 12992005896000 13068547946240 13170645977070 13309284355776 13676387385600 13863837870600 14009773006080 14048689042208 14593513548000 14702116439520 14788093728640 15314704624500 15475912041600 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49007054798400 51586373472000 51968023584000 51989392014750 52682583908280 53237137423104 54877691571125 55455351482400 56194756168832 58374054192000 58808465758080 61258818498000 63219100689936 65342739731200 65853229885350 66546421778880 68381936928000 69319189353000 70048865030400 70243445211040 73510582197600 73940468643200 77379560208000 77952035376000 79023875862420 81678424664000 83183027223600 84292134253248 87561081288000 87804306513800 88728562371840 91888227747000 92425585804000 98014109596800 98779844828025 103978784029500 105365167816560 109755383142250 110910702964800 112389512337664 116748108384000 117616931516160 122517636996000 126438201379872 131706459770700 133092843557760 138638378706000 140486890422080 147021164395200 147880937286400 154759120416000 155904070752000 158047751724840 163356849328000 164633074713375 166366054447200 168584268506496 175122162576000 175608613027600 183776455494000 184851171608000 196028219193600 197559689656050 207957568059000 210730335633120 219510766284500 221821405929600 245035273992000 252876402759744 263412919541400 266185687115520 277276757412000 280973780844160 294042328790400 316095503449680 326713698656000 329266149426750 332732108894400 337168537012992 350244325152000 351217226055200 367552910988000 369702343216000 395119379312100 415915136118000 421460671266240 439021532569000 443642811859200 490070547984000 493899224140125 505752805519488 526825839082800 554553514824000 561947561688320 588084657580800 632191006899360 658532298853500 665464217788800 702434452110400 735105821976000 739404686432000 790238758624200 831830272236000 842921342532480 878043065138000 980141095968000 987798448280250 1011505611038976 1053651678165600 1109107029648000 1264382013798720 1317064597707000 1330928435577600 1404868904220800 1470211643952000 1580477517248400 1663660544472000 1685842685064960 1756086130276000 1975596896560500 2107303356331200 2218214059296000 2528764027597440 2634129195414000 2809737808441600 2940423287904000 3160955034496800 3327321088944000 3512172260552000 3951193793121000 4214606712662400 5057528055194880 5268258390828000 6321910068993600 6654642177888000 7024344521104000 7902387586242000 8429213425324800 10536516781656000 12643820137987200 14048689042208000 15804775172484000 21073033563312000 25287640275974400 31609550344968000 42146067126624000 63219100689936000 126438201379872000
- Sum of all divisors σ(n): 492200423877010212
- Sum of proper divisors (its aliquot sum) s(n): 365762222497138212
- 126438201379872000 is an abundant number, because the sum of its proper divisors (365762222497138212) is greater than itself. Its abundance is 239324021117266212
Bases of 126438201379872000
- Binary: 1110000010011001011011111110011110100100101011101000000002
- Hexadecimal: 0x1C132DFCF495D00
- Base-36: YKYLNUBYGW0
Squares and roots of 126438201379872000
- 126438201379872000 squared (1264382013798720002) is 15986618768177065724846736384000000
- 126438201379872000 cubed (1264382013798720003) is 2021319323194013084413340660143184627662848000000000
-
The
square root of 126438201379872000 is 355581497.5218367573 -
The
cube root of 126438201379872000 is 501910.2940979611
Scales and comparisons
How big is 126438201379872000?- 126,438,201,379,872,000 seconds is equal to 4,020,343,704 years, 43 weeks, 6 days, 8 hours.
-
To count from 1 to 126,438,201,379,872,000 would take you about twelve billion, sixty-one million, thirty-one thousand, one hundred fourteen 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 126438201379872000 cubic inches would be around 41825.9 feet tall.
Recreational maths with 126438201379872000
- 126438201379872000 backwards is 000278973102834621
- The number of decimal digits it has is: 18
- The sum of 126438201379872000's digits is 63
- More coming soon!
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"Number 126438201379872000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
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Numbermatics. (2024). Number 126438201379872000 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/126438201379872000/
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The information we have on file for 126438201379872000 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 126438201379872000, math, Factors of 126438201379872000, curriculum, school, college, exams, university, Prime factorization of 126438201379872000, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty-six quadrillion, four hundred thirty-eight trillion, two hundred one billion, three hundred seventy-nine million, eight hundred seventy-two thousand.