133820775216128
133,820,775,216,128 is an even composite number composed of six prime numbers multiplied together.
What does the number 133820775216128 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1056 divisors.
133820775216128 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 133820775216128:
210 × 7 × 115 × 13 × 37 × 241
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 11 × 11 × 11 × 11 × 13 × 37 × 241)See below for interesting mathematical facts about the number 133820775216128 from the Numbermatics database.
Names of 133820775216128
- Cardinal: 133820775216128 can be written as One hundred thirty-three trillion, eight hundred twenty billion, seven hundred seventy-five million, two hundred sixteen thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.33820775216128 × 1014
Factors of 133820775216128
Divisors of 133820775216128
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 22 26 28 32 37 44 52 56 64 74 77 88 91 104 112 121 128 143 148 154 176 182 208 224 241 242 256 259 286 296 308 352 364 407 416 448 481 482 484 512 518 572 592 616 704 728 814 832 847 896 962 964 968 1001 1024 1036 1144 1184 1232 1331 1408 1456 1573 1628 1664 1687 1694 1792 1924 1928 1936 2002 2072 2288 2368 2464 2651 2662 2816 2849 2912 3133 3146 3256 3328 3367 3374 3388 3584 3848 3856 3872 4004 4144 4477 4576 4736 4928 5291 5302 5324 5632 5698 5824 6266 6292 6512 6656 6734 6748 6776 7168 7696 7712 7744 8008 8288 8917 8954 9152 9317 9472 9856 10582 10604 10648 11011 11264 11396 11648 12532 12584 13024 13312 13468 13496 13552 14641 15392 15424 15488 16016 16576 17303 17834 17908 18304 18557 18634 18944 19712 21164 21208 21296 21931 22022 22792 23296 25064 25168 26048 26936 26992 27104 29161 29282 30784 30848 30976 31339 32032 33152 34463 34606 35668 35816 36608 37037 37114 37268 37888 39424 42328 42416 42592 43862 44044 45584 46592 49247 50128 50336 52096 53872 53984 54208 58201 58322 58564 61568 61696 61952 62419 62678 64064 66304 68926 69212 71336 71632 73216 74074 74228 74536 78848 84656 84832 85184 87724 88088 91168 93184 98087 98494 100256 100672 102487 104192 107744 107968 108416 115921 116402 116644 117128 121121 123136 123392 123904 124838 125356 128128 132608 137852 138424 142672 143264 146432 148148 148456 149072 161051 169312 169664 170368 175448 176176 182336 190333 196174 196988 200512 201344 204127 204974 208384 215488 215936 216832 231842 232804 233288 234256 241241 242242 246272 246784 249676 250712 256256 265216 275704 276848 285344 286528 296296 296912 298144 320771 322102 338624 339328 340736 344729 350896 352352 364672 379093 380666 392348 393976 401024 402688 407407 408254 409948 416768 430976 431872 433664 463684 465608 466576 468512 482482 484484 492544 499352 501424 512512 541717 551408 553696 570688 573056 592592 593824 596288 640211 641542 644204 677248 678656 681472 686609 689458 701792 704704 729344 758186 761332 784696 787952 802048 805376 811447 814814 816508 819896 861952 863744 867328 927368 931216 933152 937024 964964 968968 998704 1002848 1025024 1078957 1083434 1102816 1107392 1127357 1141376 1146112 1185184 1187648 1192576 1275131 1280422 1283084 1288408 1332331 1354496 1357312 1362944 1373218 1378916 1403584 1409408 1458688 1516372 1522664 1569392 1575904 1604096 1610752 1622894 1629628 1633016 1639792 1723904 1727488 1854736 1862432 1866304 1874048 1929928 1937936 1997408 2005696 2093663 2157914 2166868 2205632 2214784 2245397 2254714 2282752 2292224 2370368 2375296 2385152 2550262 2560844 2566168 2576816 2653651 2664662 2708992 2714624 2746436 2757832 2807168 2818816 2917376 3032744 3045328 3138784 3151808 3208192 3245788 3259256 3266032 3279584 3447808 3528481 3709472 3724864 3732608 3748096 3792019 3859856 3875872 3994816 4011392 4170023 4187326 4315828 4333736 4411264 4429568 4481477 4490794 4509428 4565504 4584448 4740736 4750592 4770304 5100524 5121688 5132336 5153632 5307302 5329324 5417984 5492872 5515664 5614336 5637632 5958887 6065488 6090656 6277568 6303616 6491576 6518512 6532064 6559168 7042321 7056962 7418944 7449728 7465216 7496192 7552699 7584038 7719712 7751744 7989632 8022784 8340046 8374652 8631656 8667472 8822528 8859136 8925917 8962954 8981588 9018856 9131008 9481472 9501184 9540608 10201048 10243376 10264672 10307264 10614604 10658648 10985744 11031328 11228672 11275264 11868527 11917774 12130976 12181312 12555136 12607232 12983152 13037024 13064128 13118336 14026441 14084642 14113924 14655641 14837888 14899456 14930432 14992384 15105398 15168076 15439424 15503488 15979264 16045568 16680092 16749304 17263312 17334944 17645056 17718272 17851834 17925908 17963176 18037712 18962944 19002368 20402096 20486752 20529344 20614528 21229208 21317296 21971488 22062656 22457344 23737054 23835548 24261952 24362624 24699367 25110272 25214464 25966304 26074048 26128256 26236672 28052882 28169284 28227848 29190161 29311282 29675776 29798912 29860864 30210796 30336152 30878848 31006976 31958528 32091136 33360184 33498608 34526624 34669888 35290112 35703668 35851816 35926352 36075424 37925888 38813291 40804192 40973504 41058688 41229056 41712209 42458416 42634592 43942976 44125312 45870253 47474108 47671096 48523904 48725248 49296247 49398734 50220544 50428928 51932608 52148096 52256512 52473344 56105764 56338568 56455696 58380322 58622564 59351552 59597824 60421592 60672304 61757696 62013952 63917056 66720368 66997216 69053248 69339776 71407336 71703632 71852704 72150848 77465531 77626582 81608384 81947008 82117376 82458112 83079689 83424418 84916832 85269184 87885952 88250624 91740506 94948216 95342192 97047808 97450496 98185087 98592494 98797468 100441088 103865216 104296192 104513024 104946688 112211528 112677136 112911392 116760644 117245128 118703104 120843184 121344608 123515392 124027904 130553797 133440736 133994432 138106496 138679552 142814672 143407264 143705408 144301696 154290851 154931062 155253164 163216768 163894016 164234752 164916224 166159378 166848836 169833664 170538368 175771904 176501248 183481012 189896432 190684384 194095616 194900992 196370174 197184988 197594936 207730432 208592384 209026048 224423056 225354272 225822784 233521288 234490256 241686368 242689216 247030784 261107594 266881472 267988864 271693037 276212992 277359104 285629344 286814528 287410816 288603392 308581702 309862124 310506328 321091771 326433536 327788032 328469504 332318756 333697672 339667328 341076736 351543808 353002496 366962024 379792864 381368768 388191232 392740348 394369976 395189872 415460864 417184768 448846112 450708544 451645568 467042576 468980512 483372736 485378432 504572783 522215188 533762944 535977728 542258717 543386074 552425984 554718208 571258688 573629056 574821632 577206784 617163404 619724248 621012656 642183542 652867072 655576064 664637512 667395344 679334656 682153472 703087616 733924048 759585728 762737536 785480696 788739952 790379744 830921728 897692224 901417088 903291136 913876579 934085152 937961024 966745472 970756864 1009145566 1044430376 1067525888 1071955456 1080035957 1084517434 1086772148 1104851968 1142517376 1147258112 1149643264 1154413568 1234326808 1239448496 1242025312 1284367084 1305734144 1329275024 1334790688 1358669312 1364306944 1436091767 1467848096 1519171456 1525475072 1570961392 1577479904 1580759488 1697199361 1795384448 1802834176 1806582272 1827753158 1868170304 1875922048 1933490944 1941513728 2018291132 2088860752 2135051776 2143910912 2160071914 2169034868 2173544296 2285034752 2294516224 2299286528 2468653616 2478896992 2484050624 2568734168 2658550048 2669581376 2717338624 2872183534 2935696192 3038342912 3050950144 3141922784 3154959808 3161518976 3394398722 3532009481 3590768896 3605668352 3613164544 3655506316 3736340608 3751844096 3866981888 3883027456 4036582264 4177721504 4270103552 4320143828 4338069736 4347088592 4570069504 4589032448 4937307232 4957793984 4968101248 5137468336 5317100096 5339162752 5744367068 5871392384 6076685824 6101900288 6283845568 6309919616 6323037952 6788797444 7064018962 7181537792 7211336704 7311012632 7472681216 7503688192 7733963776 8073164528 8355443008 8640287656 8676139472 8694177184 9140139008 9874614464 9915587968 9936202496 10052642369 10274936672 10634200192 10678325504 11488734136 11742784768 11880395527 12153371648 12567691136 12619839232 12646075904 13577594888 14128037924 14363075584 14622025264 14945362432 15007376384 16146329056 16710886016 17280575312 17352278944 17388354368 18669192971 19749228928 19831175936 19872404992 20105284738 20549873344 21268400384 21356651008 22977468272 23485569536 23760791054 25135382272 25239678464 25292151808 27155189776 28256075848 29244050528 29890724864 32292658112 33421772032 34561150624 34704557888 34776708736 37338385942 39498457856 39662351872 39744809984 40210569476 41099746688 42536800768 42713302016 45954936544 46971139072 47521582108 50270764544 50479356928 54310379552 56512151696 58488101056 64585316224 66843544064 69122301248 69409115776 69553417472 74676771884 78996915712 79324703744 80421138952 82199493376 85073601536 91909873088 95043164216 100541529088 108620759104 113024303392 116976202112 129170632448 130684350797 133687088128 138244602496 138818231552 139106834944 149353543768 157993831424 160842277904 164398986752 183819746176 190086328432 217241518208 226048606784 233952404224 258341264896 261368701594 276489204992 277636463104 278213669888 298707087536 321684555808 328797973504 367639492352 380172656864 434483036416 452097213568 467904808448 516682529792 522737403188 552978409984 555272926208 597414175072 643369111616 735278984704 760345313728 868966072832 904194427136 935809616896 1045474806376 1105956819968 1194828350144 1286738223232 1470557969408 1520690627456 1737932145664 1808388854272 2090949612752 2389656700288 2573476446464 3041381254912 3616777708544 4181899225504 4779313400576 5146952892928 6082762509824 8363798451008 9558626801152 10293905785856 12165525019648 16727596902016 19117253602304 33455193804032 66910387608064 133820775216128
- Sum of all divisors σ(n): 373500075320064
- Sum of proper divisors (its aliquot sum) s(n): 239679300103936
- 133820775216128 is an abundant number, because the sum of its proper divisors (239679300103936) is greater than itself. Its abundance is 105858524887808
Bases of 133820775216128
- Binary: 111100110110101100100111100010100110100000000002
- Hexadecimal: 0x79B593C53400
- Base-36: 1BFOEYEW3K
Squares and roots of 133820775216128
- 133820775216128 squared (1338207752161282) is 17907999879445457965111312384
- 133820775216128 cubed (1338207752161283) is 2396462426437717953065906723577555322929152
-
The
square root of 133820775216128 is 11568092.9809596535 -
The
cube root of 133820775216128 is 51149.4750008627
Scales and comparisons
How big is 133820775216128?- 133,820,775,216,128 seconds is equal to 4,255,086 years, 37 weeks, 2 days, 2 minutes, 8 seconds.
-
To count from 1 to 133,820,775,216,128 would take you about ten million, six hundred thirty-seven thousand, seven hundred sixteen 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 133820775216128 cubic inches would be around 4262.5 feet tall.
Recreational maths with 133820775216128
- 133820775216128 backwards is 821612577028331
- 133820775216128 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 133820775216128's digits is 56
- 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 133820775216128 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
APA style:
Numbermatics. (2024). Number 133820775216128 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/133820775216128/
Chicago style:
Numbermatics. 2024. "Number 133820775216128 - Facts about the integer". https://numbermatics.com/n/133820775216128/
The information we have on file for 133820775216128 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 133820775216128, math, Factors of 133820775216128, curriculum, school, college, exams, university, Prime factorization of 133820775216128, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-three trillion, eight hundred twenty billion, seven hundred seventy-five million, two hundred sixteen thousand, one hundred twenty-eight.