138422862412800
138,422,862,412,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138422862412800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1056 divisors.
138422862412800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 138422862412800:
210 × 3 × 52 × 7 × 17 × 19 × 797161
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 17 × 19 × 797161)See below for interesting mathematical facts about the number 138422862412800 from the Numbermatics database.
Names of 138422862412800
- Cardinal: 138422862412800 can be written as One hundred thirty-eight trillion, four hundred twenty-two billion, eight hundred sixty-two million, four hundred twelve thousand, eight hundred.
Scientific notation
- Scientific notation: 1.384228624128 × 1014
Factors of 138422862412800
Divisors of 138422862412800
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 19 20 21 24 25 28 30 32 34 35 38 40 42 48 50 51 56 57 60 64 68 70 75 76 80 84 85 95 96 100 102 105 112 114 119 120 128 133 136 140 150 152 160 168 170 175 190 192 200 204 210 224 228 238 240 255 256 266 272 280 285 300 304 320 323 336 340 350 357 380 384 399 400 408 420 425 448 456 475 476 480 510 512 525 532 544 560 570 595 600 608 640 646 665 672 680 700 714 760 768 798 800 816 840 850 896 912 950 952 960 969 1020 1024 1050 1064 1088 1120 1140 1190 1200 1216 1275 1280 1292 1330 1344 1360 1400 1425 1428 1520 1536 1596 1600 1615 1632 1680 1700 1785 1792 1824 1900 1904 1920 1938 1995 2040 2100 2128 2176 2240 2261 2280 2380 2400 2432 2550 2560 2584 2660 2688 2720 2800 2850 2856 2975 3040 3072 3192 3200 3230 3264 3325 3360 3400 3570 3584 3648 3800 3808 3840 3876 3990 4080 4200 4256 4352 4480 4522 4560 4760 4800 4845 4864 5100 5120 5168 5320 5376 5440 5600 5700 5712 5950 6080 6384 6400 6460 6528 6650 6720 6783 6800 7140 7168 7296 7600 7616 7680 7752 7980 8075 8160 8400 8512 8704 8925 8960 9044 9120 9520 9600 9690 9728 9975 10200 10336 10640 10752 10880 11200 11305 11400 11424 11900 12160 12768 12800 12920 13056 13300 13440 13566 13600 14280 14592 15200 15232 15360 15504 15960 16150 16320 16800 17024 17408 17850 17920 18088 18240 19040 19200 19380 19456 19950 20400 20672 21280 21504 21760 22400 22610 22800 22848 23800 24225 24320 25536 25600 25840 26112 26600 26880 27132 27200 28560 29184 30400 30464 31008 31920 32300 32640 33600 33915 34048 35700 35840 36176 36480 38080 38400 38760 39900 40800 41344 42560 43520 44800 45220 45600 45696 47600 48450 48640 51072 51680 52224 53200 53760 54264 54400 56525 57120 58368 60800 60928 62016 63840 64600 65280 67200 67830 68096 71400 72352 72960 76160 76800 77520 79800 81600 82688 85120 87040 89600 90440 91200 91392 95200 96900 97280 102144 103360 106400 107520 108528 108800 113050 114240 121600 121856 124032 127680 129200 130560 134400 135660 136192 142800 144704 145920 152320 155040 159600 163200 165376 169575 170240 179200 180880 182400 182784 190400 193800 204288 206720 212800 217056 217600 226100 228480 243200 248064 255360 258400 261120 268800 271320 285600 289408 291840 304640 310080 319200 326400 330752 339150 340480 361760 364800 365568 380800 387600 408576 413440 425600 434112 435200 452200 456960 486400 496128 510720 516800 537600 542640 571200 578816 609280 620160 638400 652800 678300 680960 723520 729600 761600 775200 797161 826880 851200 868224 904400 913920 992256 1021440 1033600 1085280 1142400 1157632 1240320 1276800 1305600 1356600 1447040 1459200 1523200 1550400 1594322 1653760 1702400 1736448 1808800 1827840 2042880 2067200 2170560 2284800 2315264 2391483 2480640 2553600 2713200 2894080 3046400 3100800 3188644 3404800 3472896 3617600 3985805 4134400 4341120 4569600 4782966 4961280 5107200 5426400 5580127 5788160 6201600 6377288 6945792 7235200 7971610 8268800 8682240 9139200 9565932 10214400 10852800 11160254 11576320 11957415 12403200 12754576 13551737 14470400 15146059 15943220 16740381 17364480 19131864 19929025 21705600 22320508 23914830 24806400 25509152 27103474 27900635 28940800 30292118 31886440 33480762 34728960 38263728 39858050 40655211 43411200 44641016 45438177 47829660 51018304 54206948 55801270 57881600 59787075 60584236 63772880 66961524 67758685 75730295 76527456 79716100 81310422 83701905 86822400 89282032 90876354 94862159 95659320 102036608 106022413 108413896 111602540 119574150 121168472 127545760 133923048 135517370 139503175 151460590 153054912 159432200 162620844 167403810 173644800 178564064 181752708 189724318 191318640 203276055 204073216 212044826 216827792 223205080 227190885 239148300 242336944 255091520 257483003 267846096 271034740 279006350 284586477 302921180 306109824 318067239 318864400 325241688 334807620 338793425 357128128 363505416 378651475 379448636 382637280 406552110 408146432 418509525 424089652 433655584 446410160 454381770 474310795 478296600 484673888 510183040 514966006 530112065 535692192 542069480 558012700 569172954 605842360 612219648 636134478 637728800 650483376 669615240 677586850 714256256 727010832 757302950 758897272 765274560 772449009 813104220 816292864 837019050 848179304 867311168 892820320 908763540 948621590 956593200 969347776 1016380275 1020366080 1029932012 1060224130 1071384384 1084138960 1116025400 1135954425 1138345908 1211684720 1224439296 1272268956 1275457600 1287415015 1300966752 1339230480 1355173700 1422932385 1428512512 1454021664 1514605900 1517794544 1530549120 1544898018 1590336195 1626208440 1674038100 1696358608 1734622336 1785640640 1802381021 1817527080 1897243180 1913186400 1938695552 2032760550 2040732160 2059864024 2120448260 2142768768 2168277920 2232050800 2271908850 2276691816 2371553975 2423369440 2448878592 2544537912 2550915200 2574830030 2601933504 2650560325 2678460960 2710347400 2845864770 2857025024 2908043328 3029211800 3035589088 3061098240 3089796036 3180672390 3252416880 3348076200 3392717216 3469244672 3571281280 3604762042 3635054160 3794486360 3826372800 3862245045 3877391104 4065521100 4081464320 4119728048 4240896520 4285537536 4336555840 4464101600 4543817700 4553383632 4743107950 4846738880 5089075824 5101830400 5149660060 5203867008 5301120650 5356921920 5407143063 5420694800 5691729540 5714050048 5816086656 6058423600 6071178176 6122196480 6179592072 6361344780 6437075075 6504833760 6696152400 6785434432 6938489344 7114661925 7142562560 7209524084 7270108320 7588972720 7652745600 7724490090 7754782208 7951680975 8131042200 8239456096 8481793040 8571075072 8673111680 8928203200 9011905105 9087635400 9106767264 9486215900 9693477760 10178151648 10203660800 10299320120 10407734016 10602241300 10713843840 10814286126 10841389600 11383459080 11632173312 12116847200 12142356352 12244392960 12359184144 12722689560 12874150150 13009667520 13392304800 13570868864 13876978688 14229323850 14285125120 14419048168 14540216640 15177945440 15305491200 15448980180 15509564416 15903361950 16262084400 16478912192 16963586080 17142150144 17346223360 17856406400 18023810210 18175270800 18213534528 18972431800 19311225225 19386955520 20356303296 20407321600 20598640240 20815468032 21204482600 21427687680 21628572252 21682779200 22766918160 23264346624 24233694400 24284712704 24718368288 25445379120 25748300300 26019335040 26784609600 27035715315 27141737728 28458647700 28570250240 28838096336 29080433280 30355890880 30610982400 30897960360 31806723900 32524168800 32957824384 33927172160 34692446720 35712812800 36047620420 36350541600 36427069056 37944863600 38622450450 38773911040 40712606592 41197280480 41630936064 42408965200 42855375360 43257144504 43365558400 45059525525 45533836320 46528693248 48467388800 48569425408 49436736576 50890758240 51496600600 52038670080 53569219200 54071430630 54283475456 56917295400 57676192672 58160866560 60711781760 61221964800 61795920720 63613447800 65048337600 65915648768 67854344320 69384893440 71425625600 72095240840 72701083200 72854138112 75889727200 77244900900 77547822080 81425213184 82394560960 84817930400 85710750720 86514289008 86731116800 90119051050 91067672640 96934777600 97138850816 98873473152 101781516480 102993201200 104077340160 107138438400 108142861260 108566950912 113834590800 115352385344 116321733120 121423563520 123591841440 127226895600 130096675200 131831297536 135178576575 135708688640 142851251200 144190481680 145402166400 145708276224 151779454400 154489801800 162850426368 164789121920 169635860800 173028578016 173462233600 180238102100 182135345280 193869555200 197746946304 203563032960 205986402400 208154680320 214276876800 216285722520 227669181600 230704770688 232643466240 242847127040 247183682880 254453791200 260193350400 263662595072 270357153150 271417377280 288380963360 290804332800 291416552448 303558908800 308979603600 325700852736 329578243840 339271721600 346057156032 346924467200 360476204200 364270690560 387739110400 395493892608 407126065920 411972804800 428553753600 432571445040 455338363200 461409541376 485694254080 494367365760 508907582400 520386700800 540714306300 542834754560 576761926720 581608665600 607117817600 617959207200 659156487680 678543443200 692114312064 720952408400 728541381120 790987785216 814252131840 823945609600 865142890080 910676726400 922819082752 988734731520 1017815164800 1040773401600 1081428612600 1153523853440 1163217331200 1214235635200 1235918414400 1318312975360 1357086886400 1384228624128 1441904816800 1457082762240 1628504263680 1647891219200 1730285780160 1821353452800 1845638165504 1977469463040 2035630329600 2162857225200 2307047706880 2428471270400 2471836828800 2714173772800 2768457248256 2883809633600 3295782438400 3460571560320 3642706905600 3954938926080 4071260659200 4325714450400 4614095413760 4943673657600 5536914496512 5767619267200 6591564876800 6921143120640 7285413811200 8142521318400 8651428900800 9228190827520 9887347315200 11535238534400 13842286241280 17302857801600 19774694630400 23070477068800 27684572482560 34605715603200 46140954137600 69211431206400 138422862412800
- Sum of all divisors σ(n): 582745064071680
- Sum of proper divisors (its aliquot sum) s(n): 444322201658880
- 138422862412800 is an abundant number, because the sum of its proper divisors (444322201658880) is greater than itself. Its abundance is 305899339246080
Bases of 138422862412800
- Binary: 111110111100101000101011000101011111100000000002
- Hexadecimal: 0x7DE5158AFC00
- Base-36: 1D2EL2B3EO
Squares and roots of 138422862412800
- 138422862412800 squared (1384228624128002) is 19160888838552959037603840000
- 138422862412800 cubed (1384228624128003) is 2652305079405971441108550645712945152000000
-
The
square root of 138422862412800 is 11765324.5774521665 -
The
cube root of 138422862412800 is 51729.2214231617
Scales and comparisons
How big is 138422862412800?- 138,422,862,412,800 seconds is equal to 4,401,418 years, 44 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 138,422,862,412,800 would take you about eleven million, three thousand, five hundred forty-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 138422862412800 cubic inches would be around 4310.8 feet tall.
Recreational maths with 138422862412800
- 138422862412800 backwards is 008214268224831
- 138422862412800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138422862412800's digits is 51
- More coming soon!
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"Number 138422862412800 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 138422862412800 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/138422862412800/
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The information we have on file for 138422862412800 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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