135040268848626400
135,040,268,848,626,400 is an even composite number composed of eight prime numbers multiplied together.
135040268848626400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 135040268848626400:
25 × 52 × 72 × 23 × 312 × 89 × 941 × 1861
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 23 × 31 × 31 × 89 × 941 × 1861)See below for interesting mathematical facts about the number 135040268848626400 from the Numbermatics database.
Names of 135040268848626400
- Cardinal: 135040268848626400 can be written as One hundred thirty-five quadrillion, forty trillion, two hundred sixty-eight billion, eight hundred forty-eight million, six hundred twenty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.350402688486264 × 1017
Factors of 135040268848626400
Divisors of 135040268848626400
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 23 25 28 31 32 35 40 46 49 50 56 62 70 80 89 92 98 100 112 115 124 140 155 160 161 175 178 184 196 200 217 224 230 245 248 280 310 322 350 356 368 392 400 434 445 460 490 496 560 575 620 623 644 700 712 713 736 775 784 800 805 868 890 920 941 961 980 992 1085 1120 1127 1150 1225 1240 1246 1288 1400 1424 1426 1519 1550 1568 1610 1736 1780 1840 1861 1882 1922 1960 2047 2170 2225 2254 2300 2450 2480 2492 2576 2759 2800 2848 2852 3038 3100 3115 3220 3472 3560 3565 3680 3722 3764 3844 3920 4025 4094 4340 4361 4450 4508 4600 4705 4805 4900 4960 4984 4991 5152 5425 5518 5600 5635 5704 6076 6200 6230 6440 6587 6727 6944 7120 7130 7444 7528 7595 7688 7840 8050 8188 8680 8722 8900 9016 9200 9305 9410 9610 9800 9968 9982 10235 10850 11036 11270 11408 12152 12400 12460 12880 13027 13174 13454 13795 14240 14260 14329 14888 15056 15190 15376 15575 16100 16376 17360 17444 17800 17825 18032 18400 18610 18820 19220 19313 19600 19936 19964 20470 21643 21700 21805 22072 22103 22540 22816 23525 24025 24304 24800 24920 24955 25760 26054 26348 26908 27590 28175 28520 28658 29171 29776 30112 30380 30752 31150 32200 32752 32935 33635 34720 34888 34937 35600 35650 36064 37220 37640 37975 38440 38626 39200 39928 40940 42803 43286 43400 43610 44144 44206 45080 46109 46525 47050 47089 48050 48608 49840 49910 51175 52108 52696 53816 55180 56350 57040 57316 57691 58342 59552 60760 62300 63457 64400 65135 65504 65870 67270 68975 69776 69874 71200 71300 71645 74440 75280 75950 76880 77252 79856 81880 83749 85529 85606 86572 86800 87220 88288 88412 90160 91189 92218 93050 94100 94178 96100 96565 99680 99820 100303 102350 104216 105392 107632 108215 109025 110360 110515 112700 114080 114632 115382 116684 121520 124600 124775 126914 128800 130270 131740 134540 135191 137950 139552 139748 142600 143290 145855 148880 150560 151501 151900 153760 154504 154721 159712 163760 164675 165629 167498 168175 171058 171212 173144 173600 174440 174685 176824 180320 182378 184436 186100 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401487346064 403110093400 407658890800 410020552144 412311519445 414647328928 425611891040 436399289200 437012209550 444503847428 445674513200 450703618400 453520516015 462926429840 468150210080 471213165080 473493228782 483156355900 489453674696 499442525200 501859182580 512525690180 518309161160 532014863800 541135118608 541895139842 555629809285 573553351520 578658037300 585187762600 585743645920 589016456350 599113881316 610959004880 611817093370 619308731248 623944318480 627323978225 630985065760 640657112725 647886451450 659698431112 661323471200 673161664400 676418898260 699219535280 702602855612 716941689400 717535966252 725632825624 732179557400 740441658800 748892351645 763698756100 773050169440 774135914060 777881732999 779930398100 788731332200 789441410800 802974692128 806220186800 815317781600 820041104288 824623038890 845523622825 872798578400 874024419100 878253569515 889007694856 891349026400 896919957815 907041032030 925852859680 942426330160 946986457564 966312711800 967669892575 978907349392 998885050400 1003718365160 1025051380360 1036618322320 1048449292303 1064029727600 1082270237216 1083790279684 1111259618570 1157316074600 1170375525200 1178032912700 1183733071955 1198227762632 1221918009760 1223634186740 1238617462496 1247888636960 1254647956450 1281314225450 1295772902900 1319396862224 1346323328800 1352837796520 1354737849605 1398439070560 1405205711224 1433883378800 1435071932504 1451265651248 1464359114800 1480883317600 1497784703290 1527397512200 1529542733425 1548271828120 1555763465998 1559860796200 1577462664400 1578882821600 1612440373600 1649246077780 1691047245650 1748048838200 1756507139030 1778015389712 1793839915630 1814082064060 1884852660320 1893972915128 1896632989447 1932625423600 1935339785150 1957814698784 2007436730320 2050102760720 2061557597225 2073236644640 2096898584606 2128059455200 2167580559368 2222519237140 2267602580075 2314632149200 2340751050400 2356065825400 2367466143910 2396455525264 2447268373480 2509295912900 2562628450900 2591545805800 2638793724448 2705675593040 2709475699210 2778149046425 2810411422448 2867766757600 2870143865008 2902531302496 2928718229600 2995569406580 3054795024400 3059085466850 3096543656240 3111526931996 3119721592400 3154925328800 3298492155560 3382094491300 3444904817567 3496097676400 3513014278060 3556030779424 3587679831260 3628164128120 3744461758225 3787945830256 3793265978894 3865250847200 3870679570300 3889408664995 4014873460640 4100205521440 4123115194450 4193797169212 4335161118736 4391267847575 4445038474280 4484599789075 4535205160150 4629264298400 4712131650800 4734932287820 4792911050528 4894536746960 5018591825800 5125256901800 5183091611600 5242246461515 5411351186080 5418951398420 5445172130993 5556298092850 5620822844896 5740287730016 5918665359775 5991138813160 6109590048800 6118170933700 6193087312480 6223053863992 6239443184800 6596984311120 6764188982600 6773689248025 6889809635134 6992195352800 7026028556120 7175359662520 7256328256240 7339145046121 7488923516450 7575891660512 7586531957788 7741359140600 7778817329990 8246230388900 8387594338424 8670322237472 8782535695150 8890076948560 8969199578150 9070410320300 9424263301600 9469864575640 9483164947235 9789073493920 10037183651600 10250513803600 10366183223200 10484492923030 10837902796840 10890344261986 11112596185700 11837330719550 11982277626320 12236341867400 12446107727984 13193968622240 13528377965200 13547378496050 13779619270268 14052057112240 14350719325040 14512656512480 14678290092242 14977847032900 15173063915576 15482718281200 15557634659980 16492460777800 16775188676848 17224524087835 17565071390300 17780153897120 17938399156300 18140820640600 18939729151280 18966329894470 19447043324975 20074367303200 20501027607200 20968985846060 21675805593680 21780688523972 22225192371400 23674661439100 23964555252640 24114333722969 24472683734800 24892215455968 26211232307575 27056755930400 27094756992100 27225860654965 27559238540536 28104114224480 28701438650080 29356580184484 29955694065800 30346127831152 30965436562400 31115269319960 32984921555600 33550377353696 34449048175670 35130142780600 35876798312600 36281641281200 36695725230605 37879458302560 37932659788940 38894086649950 41937971692120 43351611187360 43561377047944 44450384742800 47349322878200 47415824736175 48228667445938 48945367469600 52422464615150 54189513984200 54451721309930 55118477081072 58713160368968 59911388131600 60692255662304 62230538639920 65969843111200 68898096351340 70260285561200 71753596625200 72563282562400 73391450461210 75865319577880 77788173299900 83875943384240 86122620439175 87122754095888 88900769485600 94698645756400 94831649472350 96457334891876 104844929230300 108379027968400 108903442619860 110236954162144 117426320737936 119822776263200 120571668614845 124461077279840 136129303274825 137796192702680 140520571122400 143507193250400 146782900922420 151730639155760 155576346599800 167751886768480 168800336060783 172245240878350 174245508191776 183478626153025 189397291512800 189663298944700 192914669783752 209689858460600 216758055936800 217806885239720 234852641475872 241143337229690 272258606549650 275592385405360 293565801844840 303461278311520 311152693199600 337600672121566 344490481756700 366957252306050 379326597889400 385829339567504 419379716921200 435613770479440 482286674459380 544517213099300 551184770810720 587131603689680 602858343074225 622305386399200 675201344243132 688980963513400 733914504612100 758653195778800 771658679135008 838759433842400 844001680303915 871227540958880 964573348918760 1089034426198600 1174263207379360 1205716686148450 1350402688486264 1377961927026800 1467829009224200 1517306391557600 1688003360607830 1929146697837520 2178068852397200 2411433372296900 2700805376972528 2755923854053600 2935658018448400 3376006721215660 3858293395675040 4220008401519575 4356137704794400 4822866744593800 5401610753945056 5871316036896800 6752013442431320 8440016803039150 9645733489187600 13504026884862640 16880033606078300 19291466978375200 27008053769725280 33760067212156600 67520134424313200 135040268848626400
- Sum of all divisors σ(n): 418803862166665920
- Sum of proper divisors (its aliquot sum) s(n): 283763593318039520
- 135040268848626400 is an abundant number, because the sum of its proper divisors (283763593318039520) is greater than itself. Its abundance is 148723324469413120
Bases of 135040268848626400
- Binary: 1110111111100001001101000101101110001100001111010111000002
- Hexadecimal: 0x1DFC268B7187AE0
- Base-36: 10XNS3301XB4
Squares and roots of 135040268848626400
- 135040268848626400 squared (1350402688486264002) is 18235874210709297695917166776960000
- 135040268848626400 cubed (1350402688486264003) is 2462577356103916313235509457575854565411167744000000
-
The
square root of 135040268848626400 is 367478256.2936566455 -
The
cube root of 135040268848626400 is 513043.7854230909
Scales and comparisons
How big is 135040268848626400?- 135,040,268,848,626,400 seconds is equal to 4,293,862,842 years, 21 weeks, 1 day, 21 hours, 6 minutes, 40 seconds.
-
To count from 1 to 135,040,268,848,626,400 would take you about twelve billion, eight hundred eighty-one million, five hundred eighty-eight thousand, five hundred twenty-seven 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 135040268848626400 cubic inches would be around 42753.6 feet tall.
Recreational maths with 135040268848626400
- 135040268848626400 backwards is 004626848862040531
- The number of decimal digits it has is: 18
- The sum of 135040268848626400's digits is 67
- More coming soon!
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"Number 135040268848626400 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 135040268848626400 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/135040268848626400/
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The information we have on file for 135040268848626400 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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