138135140352000
138,135,140,352,000 is an even composite number composed of six prime numbers multiplied together.
138135140352000 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 138135140352000:
214 × 32 × 53 × 11 × 137 × 4973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 137 × 4973)See below for interesting mathematical facts about the number 138135140352000 from the Numbermatics database.
Names of 138135140352000
- Cardinal: 138135140352000 can be written as One hundred thirty-eight trillion, one hundred thirty-five billion, one hundred forty million, three hundred fifty-two thousand.
Scientific notation
- Scientific notation: 1.38135140352 × 1014
Factors of 138135140352000
Divisors of 138135140352000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 55 60 64 66 72 75 80 88 90 96 99 100 110 120 125 128 132 137 144 150 160 165 176 180 192 198 200 220 225 240 250 256 264 274 275 288 300 320 330 352 360 375 384 396 400 411 440 450 480 495 500 512 528 548 550 576 600 640 660 685 704 720 750 768 792 800 822 825 880 900 960 990 1000 1024 1056 1096 1100 1125 1152 1200 1233 1280 1320 1370 1375 1408 1440 1500 1507 1536 1584 1600 1644 1650 1760 1800 1920 1980 2000 2048 2055 2112 2192 2200 2250 2304 2400 2466 2475 2560 2640 2740 2750 2816 2880 3000 3014 3072 3168 3200 3288 3300 3425 3520 3600 3840 3960 4000 4096 4110 4125 4224 4384 4400 4500 4521 4608 4800 4932 4950 4973 5120 5280 5480 5500 5632 5760 6000 6028 6144 6165 6336 6400 6576 6600 6850 7040 7200 7535 7680 7920 8000 8192 8220 8250 8448 8768 8800 9000 9042 9216 9600 9864 9900 9946 10240 10275 10560 10960 11000 11264 11520 12000 12056 12288 12330 12375 12672 12800 13152 13200 13563 13700 14080 14400 14919 15070 15360 15840 16000 16384 16440 16500 16896 17125 17536 17600 18000 18084 18432 19200 19728 19800 19892 20480 20550 21120 21920 22000 22528 22605 23040 24000 24112 24576 24660 24750 24865 25344 25600 26304 26400 27126 27400 28160 28800 29838 30140 30720 30825 31680 32000 32880 33000 33792 34250 35072 35200 36000 36168 36864 37675 38400 39456 39600 39784 40960 41100 42240 43840 44000 44757 45056 45210 46080 48000 48224 49152 49320 49500 49730 50688 51200 51375 52608 52800 54252 54703 54800 56320 57600 59676 60280 61440 61650 63360 64000 65760 66000 67584 67815 68500 70144 70400 72000 72336 73728 74595 75350 76800 78912 79200 79568 81920 82200 84480 87680 88000 89514 90112 90420 92160 96000 96448 98640 99000 99460 101376 102400 102750 105216 105600 108504 109406 109600 112640 113025 115200 119352 120560 122880 123300 124325 126720 128000 131520 132000 135168 135630 137000 140288 140800 144000 144672 147456 149190 150700 153600 154125 157824 158400 159136 164109 164400 168960 175360 176000 179028 180224 180840 184320 188375 192000 192896 197280 198000 198920 202752 204800 205500 210432 211200 217008 218812 219200 223785 225280 226050 230400 238704 241120 245760 246600 248650 253440 256000 263040 264000 270336 271260 273515 274000 280576 281600 288000 289344 298380 301400 307200 308250 315648 316800 318272 328218 328800 337920 339075 350720 352000 358056 361680 368640 372975 376750 384000 385792 394560 396000 397840 405504 409600 411000 420864 422400 434016 437624 438400 447570 450560 452100 460800 477408 482240 492327 493200 497300 506880 512000 526080 528000 540672 542520 547030 548000 561152 563200 565125 576000 578688 596760 602800 614400 616500 621625 631296 633600 636544 656436 657600 675840 678150 681301 701440 704000 716112 723360 737280 745950 753500 768000 771584 789120 792000 795680 811008 820545 822000 841728 844800 868032 875248 876800 895140 901120 904200 921600 954816 964480 984654 986400 994600 1013760 1024000 1052160 1056000 1085040 1094060 1096000 1118925 1122304 1126400 1130250 1152000 1157376 1193520 1205600 1228800 1233000 1243250 1262592 1267200 1273088 1312872 1315200 1351680 1356300 1362602 1367575 1402880 1408000 1432224 1446720 1491900 1507000 1536000 1543168 1578240 1584000 1591360 1622016 1641090 1644000 1683456 1689600 1695375 1736064 1750496 1753600 1790280 1808400 1843200 1864875 1909632 1928960 1969308 1972800 1989200 2027520 2043903 2048000 2104320 2112000 2170080 2188120 2192000 2237850 2244608 2252800 2260500 2304000 2314752 2387040 2411200 2461635 2466000 2486500 2525184 2534400 2546176 2625744 2630400 2703360 2712600 2725204 2735150 2805760 2816000 2864448 2893440 2983800 3014000 3072000 3086336 3156480 3168000 3182720 3282180 3288000 3366912 3379200 3390750 3406505 3472128 3500992 3507200 3580560 3616800 3686400 3729750 3819264 3857920 3938616 3945600 3978400 4055040 4087806 4102725 4208640 4224000 4340160 4376240 4384000 4475700 4505600 4521000 4608000 4629504 4774080 4822400 4923270 4932000 4973000 5050368 5068800 5092352 5251488 5260800 5425200 5450408 5470300 5594625 5611520 5632000 5728896 5786880 5967600 6028000 6131709 6144000 6172672 6312960 6336000 6365440 6564360 6576000 6733824 6758400 6781500 6813010 6837875 6944256 7001984 7014400 7161120 7233600 7459500 7494311 7638528 7715840 7877232 7891200 7956800 8110080 8175612 8205450 8417280 8448000 8680320 8752480 8768000 8951400 9042000 9216000 9259008 9548160 9644800 9846540 9864000 9946000 10100736 10137600 10184704 10219515 10502976 10521600 10850400 10900816 10940600 11189250 11223040 11264000 11457792 11573760 11935200 12056000 12263418 12308175 12345344 12625920 12672000 12730880 13128720 13152000 13516800 13563000 13626020 13675750 13888512 14003968 14028800 14322240 14467200 14919000 14988622 15277056 15431680 15754464 15782400 15913600 16351224 16410900 16834560 16896000 17032525 17360640 17504960 17536000 17902800 18084000 18432000 18518016 19096320 19289600 19693080 19728000 19892000 20201472 20275200 20369408 20439030 20513625 21005952 21043200 21700800 21801632 21881200 22378500 22482933 22528000 22915584 23147520 23870400 24112000 24526836 24616350 24690688 25251840 25344000 25461760 26257440 26304000 27126000 27252040 27351500 27777024 28007936 28057600 28644480 28934400 29838000 29977244 30554112 30658545 30863360 31508928 31564800 31827200 32702448 32821800 33669120 33792000 34065050 34721280 35009920 35072000 35805600 36168000 37036032 37471555 38192640 38579200 39386160 39456000 39784000 40550400 40738816 40878060 41027250 42011904 42086400 43401600 43603264 43762400 44757000 44965866 45831168 46295040 47740800 48224000 49053672 49232700 50503680 50688000 50923520 51097575 52514880 52608000 54252000 54504080 54703000 55554048 56015872 56115200 57288960 57868800 59676000 59954488 61108224 61317090 61540875 61726720 63017856 63129600 63654400 65404896 65643600 67448799 67584000 68130100 69442560 70019840 70144000 71611200 72336000 74072064 74943110 76385280 77158400 78772320 78912000 79568000 81477632 81756120 82054500 84023808 84172800 85162625 86803200 87206528 87524800 89514000 89931732 91662336 92590080 95481600 96448000 98107344 98465400 101007360 101376000 101847040 102195150 105029760 105216000 108504000 109008160 109406000 111108096 112031744 112414665 114577920 115737600 119352000 119908976 122216448 122634180 123081750 123453440 126035712 126259200 127308800 130809792 131287200 134897598 136260200 138885120 140039680 140288000 143222400 144672000 149886220 152770560 153292725 154316800 157544640 157824000 159136000 163512240 164109000 168047616 168345600 170325250 173606400 174413056 175049600 179028000 179863464 183324672 185180160 187357775 190963200 192896000 196214688 196930800 202752000 203694080 204390300 210059520 210432000 217008000 218016320 218812000 222216192 224063488 224829330 229155840 231475200 238704000 239817952 244432896 245268360 246163500 252071424 252518400 254617600 255487875 261619584 262574400 269795196 272520400 277770240 280079360 280576000 286444800 289344000 299772440 305541120 306585450 308633600 315089280 315648000 318272000 327024480 328218000 336095232 337243995 340650500 347212800 348826112 350099200 358056000 359726928 366649344 370360320 374715550 381926400 385792000 392429376 393861600 407388160 408780600 420119040 420864000 434016000 436032640 437624000 448126976 449658660 458311680 462950400 477408000 479635904 490536720 492327000 504142848 505036800 509235200 510975750 523239168 525148800 539590392 545040800 555540480 560158720 562073325 572889600 578688000 599544880 611082240 613170900 617267200 630178560 631296000 636544000 654048960 656436000 672190464 674487990 681301000 694425600 697652224 700198400 716112000 719453856 733298688 749431100 763852800 766463625 771584000 784858752 787723200 817561200 840238080 841728000 868032000 872065280 875248000 896253952 899317320 916623360 925900800 936788875 954816000 959271808 981073440 984654000 1008285696 1018470400 1021951500 1046478336 1050297600 1079180784 1090081600 1111080960 1120317440 1124146650 1145779200 1157376000 1199089760 1222164480 1226341800 1260357120 1262592000 1273088000 1308097920 1312872000 1344380928 1348975980 1362602000 1388851200 1395304448 1400396800 1432224000 1438907712 1498862200 1527705600 1532927250 1543168000 1569717504 1575446400 1635122400 1680476160 1686219975 1736064000 1744130560 1750496000 1798634640 1833246720 1851801600 1873577750 1909632000 1918543616 1962146880 1969308000 2016571392 2036940800 2043903000 2092956672 2100595200 2158361568 2180163200 2240634880 2248293300 2291558400 2314752000 2398179520 2452683600 2520714240 2525184000 2546176000 2616195840 2625744000 2688761856 2697951960 2725204000 2777702400 2790608896 2800793600 2810366625 2864448000 2877815424 2997724400 3055411200 3065854500 3086336000 3139435008 3150892800 3270244800 3360952320 3372439950 3472128000 3488261120 3500992000 3597269280 3666493440 3747155500 3819264000 3837087232 3924293760 3938616000 4033142784 4087806000 4185913344 4201190400 4316723136 4360326400 4481269760 4496586600 4583116800 4629504000 4796359040 4905367200 5041428480 5092352000 5232391680 5251488000 5395903920 5450408000 5555404800 5581217792 5601587200 5620733250 5728896000 5755630848 5995448800 6110822400 6131709000 6278870016 6301785600 6540489600 6721904640 6744879900 6944256000 6976522240 7001984000 7194538560 7494311000 7638528000 7674174464 7848587520 7877232000 8066285568 8175612000 8371826688 8402380800 8431099875 8633446272 8720652800 8993173200 9166233600 9259008000 9592718080 9810734400 10082856960 10184704000 10464783360 10502976000 10791807840 10900816000 11162435584 11203174400 11241466500 11457792000 11511261696 11990897600 12263418000 12557740032 12603571200 13080979200 13443809280 13489759800 13888512000 13953044480 14003968000 14389077120 14988622000 15277056000 15348348928 15697175040 15754464000 16351224000 16743653376 16804761600 16862199750 17266892544 17441305600 17986346400 18332467200 19185436160 19621468800 20165713920 20929566720 21005952000 21583615680 21801632000 22406348800 22482933000 22915584000 23022523392 23981795200 24526836000 25115480064 25207142400 26161958400 26979519600 27777024000 27906088960 28007936000 28778154240 29977244000 30554112000 30696697856 31394350080 31508928000 32702448000 33487306752 33609523200 33724399500 34533785088 34882611200 35972692800 38370872320 39242937600 40331427840 41859133440 42011904000 43167231360 43603264000 44965866000 45831168000 46045046784 47963590400 49053672000 50230960128 50414284800 52323916800 53959039200 55812177920 56015872000 57556308480 59954488000 61393395712 62788700160 63017856000 65404896000 67219046400 67448799000 69067570176 69765222400 71945385600 76741744640 78485875200 83718266880 84023808000 86334462720 87206528000 89931732000 91662336000 92090093568 95927180800 98107344000 100461920256 100828569600 104647833600 107918078400 112031744000 115112616960 119908976000 122786791424 125577400320 126035712000 130809792000 134897598000 138135140352 139530444800 143890771200 153483489280 156971750400 167436533760 168047616000 172668925440 174413056000 179863464000 184180187136 191854361600 196214688000 201657139200 209295667200 215836156800 230225233920 239817952000 251154800640 252071424000 261619584000 269795196000 276270280704 279060889600 287781542400 306966978560 313943500800 336095232000 345337850880 348826112000 359726928000 368360374272 383708723200 392429376000 418591334400 431672313600 460450467840 479635904000 502309601280 504142848000 523239168000 539590392000 552540561408 575563084800 613933957120 627887001600 690675701760 697652224000 719453856000 767417446400 784858752000 837182668800 863344627200 920900935680 959271808000 1008285696000 1046478336000 1079180784000 1105081122816 1151126169600 1255774003200 1381351403520 1395304448000 1438907712000 1534834892800 1569717504000 1726689254400 1841801871360 1918543616000 2092956672000 2158361568000 2302252339200 2511548006400 2762702807040 2877815424000 3069669785600 3139435008000 3453378508800 3837087232000 4185913344000 4316723136000 4604504678400 5525405614080 5755630848000 6278870016000 6906757017600 7674174464000 8633446272000 9209009356800 11511261696000 12557740032000 13813514035200 15348348928000 17266892544000 23022523392000 27627028070400 34533785088000 46045046784000 69067570176000 138135140352000
- Sum of all divisors σ(n): 547357086529344
- Sum of proper divisors (its aliquot sum) s(n): 409221946177344
- 138135140352000 is an abundant number, because the sum of its proper divisors (409221946177344) is greater than itself. Its abundance is 271086805825344
Bases of 138135140352000
- Binary: 111110110100010000101111111100011000000000000002
- Hexadecimal: 0x7DA217F8C000
- Base-36: 1CYQEO0SG0
Squares and roots of 138135140352000
- 138135140352000 squared (1381351403520002) is 19081317000066738683904000000
- 138135140352000 cubed (1381351403520003) is 2635800401905222541467986803294208000000000
-
The
square root of 138135140352000 is 11753090.6723295553 -
The
cube root of 138135140352000 is 51693.3555695481
Scales and comparisons
How big is 138135140352000?- 138,135,140,352,000 seconds is equal to 4,392,270 years, 9 weeks, 3 days, 16 hours.
-
To count from 1 to 138,135,140,352,000 would take you about ten million, nine hundred eighty thousand, six hundred seventy-five 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 138135140352000 cubic inches would be around 4307.8 feet tall.
Recreational maths with 138135140352000
- 138135140352000 backwards is 000253041531831
- 138135140352000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138135140352000's digits is 36
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138135140352000 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
APA style:
Numbermatics. (2024). Number 138135140352000 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/138135140352000/
Chicago style:
Numbermatics. 2024. "Number 138135140352000 - Facts about the integer". https://numbermatics.com/n/138135140352000/
The information we have on file for 138135140352000 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 138135140352000, math, Factors of 138135140352000, curriculum, school, college, exams, university, Prime factorization of 138135140352000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred thirty-five billion, one hundred forty million, three hundred fifty-two thousand.