138382935941120
138,382,935,941,120 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138382935941120 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1344 divisors.
138382935941120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 138382935941120:
213 × 5 × 132 × 29 × 31 × 37 × 601
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 13 × 29 × 31 × 37 × 601)See below for interesting mathematical facts about the number 138382935941120 from the Numbermatics database.
Names of 138382935941120
- Cardinal: 138382935941120 can be written as One hundred thirty-eight trillion, three hundred eighty-two billion, nine hundred thirty-five million, nine hundred forty-one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3838293594112 × 1014
Factors of 138382935941120
Divisors of 138382935941120
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 29 31 32 37 40 52 58 62 64 65 74 80 104 116 124 128 130 145 148 155 160 169 185 208 232 248 256 260 290 296 310 320 338 370 377 403 416 464 481 496 512 520 580 592 601 620 640 676 740 754 806 832 845 899 928 962 992 1024 1040 1073 1147 1160 1184 1202 1240 1280 1352 1480 1508 1612 1664 1690 1798 1856 1885 1924 1984 2015 2048 2080 2146 2294 2320 2368 2404 2405 2480 2560 2704 2960 3005 3016 3224 3328 3380 3596 3712 3770 3848 3968 4030 4096 4160 4292 4495 4588 4640 4736 4808 4810 4901 4960 5120 5239 5365 5408 5735 5920 6010 6032 6253 6448 6656 6760 7192 7424 7540 7696 7813 7936 8060 8192 8320 8584 8990 9176 9280 9472 9616 9620 9802 9920 10240 10478 10730 10816 11470 11687 11840 12020 12064 12506 12896 13312 13520 13949 14384 14848 14911 15080 15392 15626 15872 16120 16640 17168 17429 17980 18352 18560 18631 18944 19232 19240 19604 19840 20480 20956 21460 21632 22237 22940 23374 23680 24040 24128 24505 25012 25792 26195 26624 27040 27898 28768 29696 29822 30160 30784 31252 31265 31744 32240 33263 33280 34336 34858 35960 36704 37120 37262 37888 38464 38480 39065 39208 39680 40960 41912 42920 43264 44474 45880 46748 47360 48080 48256 49010 50024 51584 52390 53248 54080 55796 57536 58435 59392 59644 60320 61568 62504 62530 63488 64480 66526 66560 68672 69716 69745 71920 73408 74240 74524 74555 75776 76928 76960 78130 78416 79360 83824 85840 86528 87145 88948 91760 93155 93496 94720 96160 96512 98020 100048 101569 103168 104780 106496 108160 111185 111592 115072 116870 118784 119288 120640 123136 125008 125060 126976 128960 133052 133120 137344 139432 139490 143840 146816 148480 149048 149110 151552 151931 153856 153920 156260 156832 158720 166315 167648 171680 173056 174290 177896 181337 183520 186310 186992 189440 192320 193024 193843 196040 200096 203138 206336 209560 216320 222370 223184 226577 230144 233740 237568 238576 241280 242203 246272 250016 250120 253952 257920 266104 266240 274688 278864 278980 287680 289081 293632 296960 298096 298220 303104 303862 307712 307840 312520 313664 317440 332630 335296 343360 346112 348580 355792 362674 367040 372620 373984 378880 384640 386048 387686 392080 400192 406276 412672 419120 432419 432640 444740 446368 453154 460288 467480 477152 482560 484406 492544 500032 500240 507845 515840 532208 532480 540299 549376 557728 557960 575360 578162 587264 593920 596192 596440 607724 615424 615680 625040 627328 634880 644873 665260 670592 686720 689347 692224 697160 711584 725348 734080 745240 747968 757760 759655 769280 772096 775372 784160 800384 812552 825344 838240 864838 865280 889480 892736 906308 906685 920576 934960 954304 965120 968812 969215 985088 1000064 1000480 1015690 1031680 1064416 1080598 1098752 1115456 1115920 1132885 1150720 1156324 1174528 1187840 1192384 1192880 1211015 1215448 1230848 1231360 1250080 1254656 1269760 1289746 1330520 1341184 1373440 1378694 1384448 1394320 1423168 1445405 1450696 1468160 1490480 1495936 1515520 1519310 1538560 1544192 1550744 1568320 1600768 1625104 1650688 1676480 1729676 1730560 1778960 1785472 1812616 1813370 1841152 1869920 1908608 1930240 1937624 1938430 1970176 2000128 2000960 2031380 2063360 2128832 2161196 2162095 2197504 2230912 2231840 2265770 2301440 2312648 2349056 2384768 2385760 2422030 2430896 2461696 2462720 2500160 2509312 2579492 2661040 2682368 2701495 2746880 2757388 2788640 2846336 2890810 2901392 2936320 2945501 2980960 2991872 3038620 3077120 3088384 3101488 3136640 3148639 3201536 3224365 3250208 3301376 3352960 3446735 3459352 3461120 3557920 3570944 3625232 3626740 3682304 3739840 3758053 3817216 3860480 3875248 3876860 3940352 4000256 4001920 4062760 4126720 4257664 4322392 4324190 4395008 4461824 4463680 4531540 4602880 4625296 4698112 4769536 4771520 4844060 4861792 4923392 4925440 5000320 5018624 5158984 5322080 5364736 5402990 5493760 5514776 5577280 5621447 5692672 5781620 5802784 5872640 5891002 5961920 5983744 6077240 6154240 6202976 6273280 6297278 6403072 6448730 6500416 6705920 6893470 6918704 6922240 7023887 7115840 7141888 7250464 7253480 7364608 7479680 7516106 7634432 7720960 7750496 7753720 8000512 8003840 8125520 8253440 8383349 8515328 8644784 8648380 8790016 8923648 8927360 8961511 9063080 9205760 9250592 9396224 9539072 9543040 9688120 9723584 9850880 10000640 10037248 10317968 10644160 10729472 10805980 10987520 11029552 11154560 11242894 11385344 11563240 11605568 11745280 11782004 11923840 11967488 12154480 12308480 12405952 12546560 12594556 12806144 12897460 13000832 13411840 13786940 13837408 14047774 14231680 14283776 14500928 14506960 14727505 14959360 15032212 15268864 15441920 15500992 15507440 15743195 16001024 16007680 16251040 16506880 16766698 17030656 17289568 17296760 17847296 17854720 17923022 18126160 18411520 18501184 18790265 19078144 19086080 19376240 19447168 19701760 19991063 20001280 20074496 20635936 21288320 21458944 21611960 21975040 22059104 22309120 22485788 22770688 23126480 23211136 23490560 23564008 23847680 23934976 24308960 24616960 24811904 25093120 25189112 25612288 25794920 26001664 26823680 27573880 27674816 28095548 28107235 28463360 28567552 29001856 29013920 29455010 29918720 30064424 30537728 31001984 31014880 31486390 32002048 32015360 32502080 33533396 34061312 34579136 34593520 35119435 35694592 35709440 35846044 36252320 36823040 37002368 37580530 38156288 38172160 38752480 38894336 39982126 40002560 40148992 41271872 41916745 42576640 42917888 43223920 43950080 44118208 44618240 44807555 44971576 45541376 46252960 46422272 46981120 47128016 47695360 47869952 48617920 49623808 50186240 50378224 51224576 51589840 52003328 53647360 55147760 55349632 56191096 56214470 56926720 57135104 58003712 58027840 58910020 59837440 60128848 61075456 62003968 62029760 62972780 64004096 64030720 65004160 67066792 68122624 69158272 69187040 70238870 71389184 71418880 71692088 72504640 74004736 75161060 76312576 76344320 77504960 77788672 79964252 80005120 82543744 83833490 85153280 86447840 88236416 89236480 89615110 89943152 91082752 91310531 92505920 92844544 94256032 95390720 95739904 97235840 99247616 99955315 100372480 100756448 103179680 104006656 107294720 108983537 110295520 110699264 112382192 112428940 113853440 114270208 116007424 116055680 116499643 117820040 119674880 120257696 122150912 124007936 124059520 125945560 128061440 130008320 134133584 136245248 138316544 138374080 140477740 142778368 142837760 143384176 145009280 148009472 150322120 152625152 152688640 155009920 155577344 159928504 160010240 165087488 167666980 170306560 172895680 176472832 178472960 179230220 179886304 182165504 182621062 185011840 185689088 188512064 190781440 194471680 198495232 199910630 200744960 201512896 206359360 208013312 214589440 217967074 220591040 221398528 224764384 224857880 227706880 232014848 232111360 232999286 235640080 239349760 240515392 248015872 248119040 251891120 256122880 259883819 260016640 268267168 272490496 276633088 276748160 280955480 285675520 286768352 290018560 296018944 300644240 305377280 310019840 311154688 319857008 320020480 330174976 335333960 340613120 345791360 352945664 356945920 358460440 359772608 365242124 370023680 371378176 377024128 381562880 388943360 396990464 399821260 403025792 412718720 416026624 435934148 441182080 442797056 449528768 449715760 455413760 456552655 464029696 464222720 465998572 471280160 478699520 481030784 496031744 496238080 503782240 519767638 520033280 536534336 544917685 553266176 553496320 561910960 571351040 573536704 580037120 582498215 592037888 601288480 610754560 620039680 622309376 639714016 660349952 670667920 681226240 691582720 705891328 713891840 716920880 719545216 730484248 740047360 742756352 754048256 763125760 777886720 793980928 799642520 806051584 825437440 832053248 871868296 882364160 885594112 899057536 899431520 910827520 913105310 928059392 928445440 931997144 942560320 962061568 992063488 992476160 1007564480 1039535276 1040066560 1073068672 1089835370 1106532352 1106992640 1123821920 1147073408 1160074240 1164996430 1184075776 1202576960 1240079360 1244618752 1279428032 1299419095 1320699904 1341335840 1362452480 1383165440 1411782656 1433841760 1439090432 1460968496 1480094720 1485512704 1508096512 1555773440 1587961856 1599285040 1612103168 1650874880 1743736592 1764728320 1771188224 1798115072 1798863040 1826210620 1856118784 1856890880 1863994288 1885120640 1924123136 1984126976 1984952320 2015128960 2079070552 2080133120 2146137344 2179670740 2213064704 2213985280 2247643840 2294146816 2320148480 2329992860 2368151552 2405153920 2480158720 2558856064 2598838190 2641399808 2682671680 2766330880 2823565312 2867683520 2878180864 2921936992 2960189440 3016193024 3111546880 3198570080 3224206336 3301749760 3378489647 3487473184 3529456640 3542376448 3596230144 3597726080 3652421240 3713781760 3727988576 3770241280 3848246272 3969904640 4030257920 4158141104 4160266240 4292274688 4359341480 4426129408 4427970560 4495287680 4588293632 4640296960 4659985720 4810307840 4960317440 5117712128 5197676380 5282799616 5365343360 5532661760 5647130624 5735367040 5756361728 5843873984 5920378880 6032386048 6223093760 6397140160 6448412672 6603499520 6756979294 6974946368 7058913280 7192460288 7195452160 7304842480 7427563520 7455977152 7540482560 7696492544 7939809280 8060515840 8316282208 8584549376 8718682960 8855941120 8990575360 9176587264 9280593920 9319971440 9620615680 9920634880 10235424256 10395352760 10730686720 11065323520 11470734080 11512723456 11687747968 11840757760 12064772096 12794280320 12896825344 13206999040 13513958588 13949892736 14117826560 14384920576 14390904320 14609684960 14911954304 15080965120 15392985088 16121031680 16632564416 16892448235 17169098752 17437365920 17711882240 17981150720 18353174528 18639942880 19241231360 20470848512 20790705520 21461373440 22130647040 22941468160 23025446912 23375495936 24129544192 25588560640 25793650688 26413998080 27027917176 27899785472 28235653120 28769841152 28781808640 29219369920 29823908608 30161930240 30785970176 32242063360 33265128832 33784896470 34338197504 34874731840 35962301440 36706349056 37279885760 38482462720 40941697024 41581411040 42922746880 45882936320 46050893824 46750991872 51177121280 54055834352 55799570944 57539682304 57563617280 58438739840 59647817216 60323860480 64484126720 66530257664 67569792940 68676395008 69749463680 71924602880 73412698112 74559771520 76964925440 81883394048 83162822080 85845493760 91765872640 93501983744 102354242560 108111668704 111599141888 115127234560 116877479680 119295634432 120647720960 128968253440 133060515328 135139585880 139498927360 143849205760 149119543040 153929850880 163766788096 166325644160 171690987520 183531745280 187003967488 204708485120 216223337408 223198283776 230254469120 233754959360 238591268864 266121030656 270279171760 278997854720 287698411520 298239086080 332651288320 343381975040 367063490560 374007934976 409416970240 432446674816 446396567552 467509918720 477182537728 532242061312 540558343520 557995709440 596478172160 665302576640 748015869952 818833940480 864893349632 892793135104 935019837440 954365075456 1064484122624 1081116687040 1115991418880 1192956344320 1330605153280 1729786699264 1870039674880 2128968245248 2162233374080 2231982837760 2385912688640 2661210306560 3459573398528 3740079349760 4324466748160 4463965675520 4771825377280 5322420613120 6919146797056 8648933496320 10644841226240 13838293594112 17297866992640 27676587188224 34595733985280 69191467970560 138382935941120
- Sum of all divisors σ(n): 395045475632640
- Sum of proper divisors (its aliquot sum) s(n): 256662539691520
- 138382935941120 is an abundant number, because the sum of its proper divisors (256662539691520) is greater than itself. Its abundance is 118279603750400
Bases of 138382935941120
- Binary: 111110111011011110010011011110101100000000000002
- Hexadecimal: 0x7DDBC9BD6000
- Base-36: 1D1W8R48OW
Squares and roots of 138382935941120
- 138382935941120 squared (1383829359411202) is 19149836959684121460106854400
- 138382935941120 cubed (1383829359411203) is 2650010661274859960043992314025426812928000
-
The
square root of 138382935941120 is 11763627.6692659735 -
The
cube root of 138382935941120 is 51724.2473799369
Scales and comparisons
How big is 138382935941120?- 138,382,935,941,120 seconds is equal to 4,400,149 years, 16 weeks, 3 days, 4 hours, 5 minutes, 20 seconds.
-
To count from 1 to 138,382,935,941,120 would take you about eleven million, three hundred seventy-three 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 138382935941120 cubic inches would be around 4310.4 feet tall.
Recreational maths with 138382935941120
- 138382935941120 backwards is 021149539283831
- The number of decimal digits it has is: 15
- The sum of 138382935941120's digits is 59
- 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 138382935941120 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 138382935941120 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138382935941120/
Chicago style:
Numbermatics. 2024. "Number 138382935941120 - Facts about the integer". https://numbermatics.com/n/138382935941120/
The information we have on file for 138382935941120 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 138382935941120, math, Factors of 138382935941120, curriculum, school, college, exams, university, Prime factorization of 138382935941120, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred eighty-two billion, nine hundred thirty-five million, nine hundred forty-one thousand, one hundred twenty.