138218470416000
138,218,470,416,000 is an even composite number composed of seven prime numbers multiplied together.
138218470416000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 138218470416000:
27 × 33 × 53 × 13 × 31 × 601 × 1321
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 31 × 601 × 1321)See below for interesting mathematical facts about the number 138218470416000 from the Numbermatics database.
Names of 138218470416000
- Cardinal: 138218470416000 can be written as One hundred thirty-eight trillion, two hundred eighteen billion, four hundred seventy million, four hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.38218470416 × 1014
Factors of 138218470416000
Divisors of 138218470416000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 31 32 36 39 40 45 48 50 52 54 60 62 64 65 72 75 78 80 90 93 96 100 104 108 117 120 124 125 128 130 135 144 150 155 156 160 180 186 192 195 200 208 216 225 234 240 248 250 260 270 279 288 300 310 312 320 325 351 360 372 375 384 390 400 403 416 432 450 465 468 480 496 500 520 540 558 576 585 600 601 620 624 640 650 675 702 720 744 750 775 780 800 806 832 837 864 900 930 936 960 975 992 1000 1040 1080 1116 1125 1152 1170 1200 1202 1209 1240 1248 1300 1321 1350 1395 1404 1440 1488 1500 1550 1560 1600 1612 1625 1664 1674 1728 1755 1800 1803 1860 1872 1920 1950 1984 2000 2015 2080 2160 2232 2250 2325 2340 2400 2404 2418 2480 2496 2600 2642 2700 2790 2808 2880 2925 2976 3000 3005 3100 3120 3200 3224 3250 3348 3375 3456 3510 3600 3606 3627 3720 3744 3875 3900 3963 3968 4000 4030 4160 4185 4320 4464 4500 4650 4680 4800 4808 4836 4875 4960 4992 5200 5284 5400 5409 5580 5616 5760 5850 5952 6000 6010 6045 6200 6240 6448 6500 6605 6696 6750 6975 7020 7200 7212 7254 7440 7488 7750 7800 7813 7926 8000 8060 8320 8370 8640 8775 8928 9000 9015 9300 9360 9600 9616 9672 9750 9920 10075 10400 10568 10800 10818 10881 11160 11232 11625 11700 11889 11904 12000 12020 12090 12400 12480 12896 13000 13210 13392 13500 13950 14040 14400 14424 14508 14625 14880 14976 15025 15500 15600 15626 15852 16000 16120 16227 16740 17173 17280 17550 17856 18000 18030 18135 18600 18631 18720 19232 19344 19500 19815 19840 20150 20800 20925 21136 21600 21636 21762 22320 22464 23250 23400 23439 23778 24000 24040 24180 24800 24960 25792 26000 26420 26784 27000 27045 27900 28080 28800 28848 29016 29250 29760 30050 30225 31000 31200 31252 31704 32240 32454 33025 33480 34346 34875 35100 35667 35712 36000 36060 36270 37200 37262 37440 38464 38688 39000 39065 39630 40300 40951 41600 41850 42272 43200 43272 43524 43875 44640 44928 45075 46500 46800 46878 47556 48000 48080 48360 49600 50375 51519 51584 52000 52840 53568 54000 54090 54405 55800 55893 56160 57696 58032 58500 59445 59520 60100 60450 62000 62400 62504 63408 64480 64908 66050 66960 68692 69750 70200 70317 71334 72000 72120 72540 74400 74524 74880 75125 76928 77376 78000 78130 79260 80600 81135 81902 83700 84544 85865 86400 86544 87048 87750 89280 90150 90675 93000 93155 93600 93756 95112 96160 96720 99075 99200 100750 103038 104000 104625 105680 107136 108000 108180 108810 111600 111786 112320 115392 116064 117000 117195 118890 120200 120900 122853 124000 124800 125008 126816 128960 129816 132100 133920 135225 137384 139500 140400 140634 142668 144000 144240 145080 148800 149048 150250 151125 154557 154752 156000 156260 158520 161200 162270 163804 165125 167400 167679 169088 171730 173088 174096 175500 178335 178560 180300 181350 186000 186310 187200 187512 190224 192320 193440 195325 198150 201500 204755 206076 208000 209250 210951 211360 216000 216360 217620 223200 223572 224640 225375 230784 232128 234000 234390 237780 240400 241800 242203 245706 248000 250016 253632 257595 257920 259632 264200 267840 270450 272025 274768 279000 279465 280800 281268 285336 288480 290160 297225 297600 298096 300500 302250 309114 312000 312520 317040 322400 324540 327608 330250 334800 335358 343460 346176 348192 351000 351585 356670 360600 362700 368559 372000 372620 374400 375024 380448 384640 386880 390650 396300 403000 405675 409510 412152 418500 421902 422720 429325 432000 432720 435240 446400 447144 450750 453375 463671 464256 465775 468000 468780 475560 480800 483600 484406 491412 495375 496000 500032 503037 507264 515190 519264 528400 532363 535680 540900 544050 549536 558000 558930 561600 562536 570672 576960 580320 585975 594450 596192 601000 604500 614265 618228 624000 625040 634080 644800 649080 655216 660500 669600 670716 676125 686920 692352 696384 702000 703170 713340 721200 725400 726609 737118 744000 745240 750048 760896 772785 773760 781300 792600 793921 806000 811350 819020 824304 837000 838395 843804 845440 858650 865440 870480 891675 892800 894288 901500 906750 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2500160 2515185 2536320 2575950 2596320 2620864 2642000 2661815 2678400 2682864 2704500 2720250 2747680 2794650 2808000 2812680 2853360 2884800 2901600 2906436 2929875 2948472 2972250 2980960 3000192 3071325 3091140 3125200 3170400 3175684 3194178 3224000 3245400 3276080 3297216 3348000 3353580 3375216 3434600 3461760 3481920 3515850 3566700 3577152 3606000 3627000 3633045 3685590 3709368 3726200 3750240 3804480 3863925 3868800 3875248 3906500 3931296 3963000 3969605 4024296 4056750 4095100 4121520 4191975 4219020 4227200 4258904 4293250 4327200 4352400 4359654 4422708 4458375 4464000 4471440 4500288 4565376 4636710 4657750 4687800 4755600 4763526 4791267 4808000 4836000 4844060 4914120 4945824 5000320 5030370 5118875 5151900 5192640 5241728 5273775 5284000 5323630 5365728 5409000 5440500 5495360 5528385 5589300 5616000 5625360 5706720 5769600 5803200 5812872 5859750 5896944 5944500 5961920 6055075 6142650 6182280 6250400 6340800 6351368 6388356 6439875 6448000 6490800 6539481 6552160 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10320973000 10463169600 10632190032 10717933500 11075197950 11146650840 11432462400 11499040800 11518205868 11611094625 11625744000 11813544480 11889760896 12305775500 12385167600 12702736000 12776712000 12798006520 13078962000 13290237540 13718954880 13933313550 14176253376 14290578000 14373801000 14397757335 14766930600 14862201120 15332054400 15357607824 15481459500 15751392640 15997508150 16513556800 16612796925 17148693600 17277308802 17438616000 17690832000 17720316720 17834641344 18458663250 18577751400 19054104000 19165068000 19197009780 19689240800 19816268160 20476810432 20641946000 20926339200 21264380064 21435867000 22150395900 22293301680 22864924800 22998081600 23036411736 23222189250 23627088960 23996262225 24611551000 24770335200 25553424000 25596013040 26157924000 26580475080 27687994875 27866627100 28352506752 28581156000 28747602000 28795514670 29533861200 29724402240 30715215648 30962919000 31995016300 33027113600 33225593850 34297387200 34554617604 34833283875 34877232000 35440633440 35669282688 36917326500 37155502800 38108208000 38330136000 38394019560 39378481600 39993770375 40953620864 41283892000 42528760128 42871734000 43193272005 44300791800 44586603360 45996163200 46072823472 46444378500 47254177920 47992524450 49223102000 49540670400 51192026080 52315848000 53160950160 55375989750 55733254200 57162312000 57495204000 57591029340 59067722400 59448804480 61430431296 61925838000 63990032600 66451187700 68594774400 69109235208 69666567750 70881266880 71988786675 73834653000 74311005600 76660272000 76788039120 78756963200 79987540750 82567784000 83063984625 85057520256 85743468000 86386544010 88601583600 89173206720 92145646944 92888757000 95985048900 98446204000 99081340800 102384052160 104631696000 106321900320 110751979500 111466508400 114324624000 114990408000 115182058680 118135444800 119981311125 122860862592 123851676000 127980065200 132902375400 138218470416 139333135500 141762533760 143977573350 147669306000 148622011200 153576078240 159975081500 165135568000 166127969250 171486936000 172773088020 177203167200 178346413440 184291293888 185777514000 191970097800 196892408000 204768104320 212643800640 215966360025 221503959000 222933016800 229980816000 230364117360 236270889600 239962622250 247703352000 255960130400 265804750800 276436940832 278666271000 287955146700 295338612000 297244022400 307152156480 319950163000 332255938500 342973872000 345546176040 354406334400 359943933375 368582587776 371555028000 383940195600 393784816000 425287601280 431932720050 443007918000 445866033600 460728234720 479925244500 495406704000 511920260800 531609501600 552873881664 557332542000 575910293400 590677224000 614304312960 639900326000 664511877000 691092352080 708812668800 719887866750 743110056000 767880391200 863865440100 886015836000 891732067200 921456469440 959850489000 1023840521600 1063219003200 1079831800125 1105747763328 1114665084000 1151820586800 1181354448000 1279800652000 1329023754000 1382184704160 1439775733500 1486220112000 1535760782400 1727730880200 1772031672000 1842912938880 1919700978000 2126438006400 2159663600250 2229330168000 2303641173600 2559601304000 2658047508000 2764369408320 2879551467000 3071521564800 3455461760400 3544063344000 3839401956000 4319327200500 4458660336000 4607282347200 5119202608000 5316095016000 5528738816640 5759102934000 6910923520800 7678803912000 8638654401000 9214564694400 10632190032000 11518205868000 13821847041600 15357607824000 17277308802000 23036411736000 27643694083200 34554617604000 46072823472000 69109235208000 138218470416000
- Sum of all divisors σ(n): 567323443814400
- Sum of proper divisors (its aliquot sum) s(n): 429104973398400
- 138218470416000 is an abundant number, because the sum of its proper divisors (429104973398400) is greater than itself. Its abundance is 290886502982400
Bases of 138218470416000
- Binary: 111110110110101011111101101010010011110100000002
- Hexadecimal: 0x7DB57ED49E80
- Base-36: 1CZSOSL9C0
Squares and roots of 138218470416000
- 138218470416000 squared (1382184704160002) is 19104345564138667213056000000
- 138218470416000 cubed (1382184704160003) is 2640573422173941204709449904951296000000000
-
The
square root of 138218470416000 is 11756635.1655565123 -
The
cube root of 138218470416000 is 51703.7481573623
Scales and comparisons
How big is 138218470416000?- 138,218,470,416,000 seconds is equal to 4,394,919 years, 42 weeks, 5 days.
-
To count from 1 to 138,218,470,416,000 would take you about ten million, nine hundred eighty-seven thousand, two hundred ninety-nine 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 138218470416000 cubic inches would be around 4308.6 feet tall.
Recreational maths with 138218470416000
- 138218470416000 backwards is 000614074812831
- 138218470416000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138218470416000's digits is 45
- More coming soon!
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MLA style:
"Number 138218470416000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 September 2024.
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Numbermatics. (2024). Number 138218470416000 - Facts about the integer. Retrieved 24 September 2024, from https://numbermatics.com/n/138218470416000/
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The information we have on file for 138218470416000 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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