138922834422112000
138,922,834,422,112,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138922834422112000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2592 divisors.
138922834422112000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 138922834422112000:
28 × 53 × 135 × 233 × 312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 13 × 13 × 13 × 23 × 23 × 23 × 31 × 31)See below for interesting mathematical facts about the number 138922834422112000 from the Numbermatics database.
Names of 138922834422112000
- Cardinal: 138922834422112000 can be written as One hundred thirty-eight quadrillion, nine hundred twenty-two trillion, eight hundred thirty-four billion, four hundred twenty-two million, one hundred twelve thousand.
Scientific notation
- Scientific notation: 1.38922834422112 × 1017
Factors of 138922834422112000
Divisors of 138922834422112000
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 23 25 26 31 32 40 46 50 52 62 64 65 80 92 100 104 115 124 125 128 130 155 160 169 184 200 208 230 248 250 256 260 299 310 320 325 338 368 400 403 416 460 496 500 520 529 575 598 620 640 650 676 713 736 775 800 806 832 845 920 961 992 1000 1040 1058 1150 1196 1240 1280 1300 1352 1426 1472 1495 1550 1600 1612 1625 1664 1690 1840 1922 1984 2000 2015 2080 2116 2197 2300 2392 2480 2600 2645 2704 2852 2875 2944 2990 3100 3200 3224 3250 3328 3380 3565 3680 3844 3875 3887 3968 4000 4030 4160 4225 4232 4394 4600 4784 4805 4960 5200 5239 5290 5408 5704 5750 5888 5980 6200 6400 6448 6500 6760 6877 7130 7360 7475 7688 7750 7774 7936 8000 8060 8320 8450 8464 8788 9200 9269 9568 9610 9920 10075 10400 10478 10580 10816 10985 11408 11500 11960 12167 12400 12493 12896 13000 13225 13520 13754 14260 14720 14950 15376 15500 15548 16000 16120 16399 16640 16900 16928 17576 17825 18400 18538 19136 19220 19435 19840 20150 20800 20956 21125 21160 21632 21970 22103 22816 23000 23920 24025 24334 24800 24986 25792 26000 26195 26450 27040 27508 28520 28561 29440 29900 30752 31000 31096 32000 32240 32798 33800 33856 34385 35152 35650 36800 37076 37375 38272 38440 38870 39680 40300 41600 41912 42250 42320 43264 43940 44206 45632 46000 46345 47840 48050 48668 49600 49972 50375 50531 51584 52000 52390 52900 54080 54925 55016 57040 57122 59800 60835 61504 62000 62192 62465 64480 65596 66125 67600 67712 68107 68770 70304 71300 73600 74152 74750 76544 76880 77740 80600 81995 83200 83824 84500 84640 87880 88412 89125 89401 91264 92000 92690 95680 96100 97175 97336 99200 99944 100750 101062 103168 104000 104780 105800 108160 109850 110032 110515 114080 114244 119600 120125 120497 121670 123008 124000 124384 124930 128960 130975 131192 132250 135200 135424 136214 137540 140608 142600 142805 147200 148304 149500 153760 155480 158171 161200 162409 163990 167648 169000 169280 171925 175760 176824 178250 178802 182528 184000 185380 191360 192200 194350 194672 198400 199888 201500 202124 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361401754480 362988175225 368322656000 374159584000 374697471200 377507702234 388482328000 389685370048 392827994000 395206060600 404021621120 407954643200 410334458950 411014303024 414328934500 423571054400 427694384000 430902091880 439153936000 444802159360 446754677200 451752193100 456720093440 464624864288 468371839000 483480608000 486407459200 487106712560 494007575750 505027026400 505863757568 509943304000 513767878780 525228107456 529463818000 530341036160 538627614850 549851910400 556002699200 558443346500 560172719444 564690241375 570900116800 576457648000 578242807168 580781080360 599515953920 608009324000 608883390700 628524790400 631283783000 632329696960 642209848475 651647776000 656535134320 662926295200 667898242414 687314888000 689443347008 695003374000 700215899305 713625146000 714807483520 722803508960 725976350450 749394942400 755015404468 761104238375 776964656000 779370740096 785655988000 790412121200 808043242240 820668917900 822028606048 828657869000 847142108800 855388768000 861804183760 878307872000 893509354400 903504386200 929249728576 936743678000 943769255585 972814918400 974213425120 988015151500 1010054052800 1019886608000 1025836147375 1027535757560 1050456214912 1058927636000 1060682072320 1077255229700 1112005398400 1116886693000 1120345438888 1129380482750 1141800233600 1152915296000 1156485614336 1161562160720 1216018648000 1217766781400 1257049580800 1262567566000 1264659393920 1284419696950 1313070268640 1325852590400 1335796484828 1346569037125 1374629776000 1378886694016 1390006748000 1400431798610 1427250292000 1429614967040 1445607017920 1451952700900 1498789884800 1510030808936 1522208476750 1553929312000 1558741480192 1571311976000 1580824242400 1641337835800 1644057212096 1657315738000 1669745606035 1694284217600 1723608367520 1787018708800 1807008772400 1814940876125 1858499457152 1873487356000 1887538511170 1948426850240 1976030303000 2020108105600 2039773216000 2051672294750 2055071515120 2100912429824 2117855272000 2154510459400 2224010796800 2233773386000 2240690877776 2258760965500 2283600467200 2323124321440 2432037296000 2435533562800 2525135132000 2529318787840 2568839393900 2626140537280 2651705180800 2671592969656 2693138074250 2749259552000 2757773388032 2780013496000 2800863597220 2854500584000 2891214035840 2903905401800 2997579769600 3020061617872 3044416953500 3142623952000 3161648484800 3211049242375 3282675671600 3288114424192 3314631476000 3339491212070 3447216735040 3501079496525 3574037417600 3614017544800 3629881752250 3716998914304 3746974712000 3775077022340 3896853700480 3952060606000 4040216211200 4103344589500 4110143030240 4235710544000 4309020918800 4341338575691 4467546772000 4481381755552 4517521931000 4646248642880 4718846277925 4864074592000 4871067125600 5050270264000 5137678787800 5252281074560 5303410361600 5343185939312 5386276148500 5560026992000 5601727194440 5709001168000 5782428071680 5807810803600 6040123235744 6088833907000 6285247904000 6323296969600 6422098484750 6565351343200 6576228848384 6629262952000 6678982424140 6894433470080 7002158993050 7148074835200 7228035089600 7259763504500 7493949424000 7550154044680 7793707400960 7904121212000 8206689179000 8220286060480 8348728030175 8471421088000 8618041837600 8682677151382 8935093544000 8962763511104 9035043862000 9292497285760 9437692555850 9742134251200 10100540528000 10275357575600 10504562149120 10686371878624 10772552297000 11120053984000 11203454388880 11418002336000 11615621607200 12080246471488 12177667814000 12646593939200 12844196969500 13130702686400 13258525904000 13357964848280 13788866940160 14004317986100 14456070179200 14519527009000 14987898848000 15100308089360 15808242424000 16413378358000 16440572120960 16697456060350 17236083675200 17365354302764 17505397482625 17870187088000 17925527022208 18070087724000 18584994571520 18875385111700 19484268502400 20201081056000 20550715151200 21372743757248 21545104594000 21706692878455 22406908777760 23231243214400 23594231389625 24160492942976 24355335628000 25688393939000 26261405372800 26517051808000 26715929696560 28008635972200 28912140358400 29039054018000 30200616178720 31616484848000 32826756716000 32881144241920 33394912120700 34472167350400 34730708605528 35010794965250 35740374176000 35851054044416 36140175448000 37750770223400 38968537004800 41101430302400 41743640150875 42745487514496 43090209188000 43413385756910 44813817555520 46462486428800 47188462779250 48320985885952 48710671256000 51376787878000 52522810745600 53431859393120 56017271944400 58078108036000 60401232357440 63232969696000 65653513432000 66789824241400 68944334700800 69461417211056 70021589930500 72280350896000 75501540446800 82202860604800 83487280301750 85490975028992 86180418376000 86826771513820 89627635111040 92924972857600 94376925558500 97421342512000 102753575756000 106863718786240 108533464392275 112034543888800 116156216072000 120802464714880 131307026864000 133579648482800 138922834422112 140043179861000 144560701792000 151003080893600 164405721209600 166974560603500 172360836752000 173653543027640 179255270222080 188753851117000 194842685024000 205507151512000 213727437572480 217066928784550 224069087777600 232312432144000 241604929429760 262614053728000 267159296965600 277845668844224 280086359722000 302006161787200 333949121207000 344721673504000 347307086055280 377507702234000 411014303024000 427454875144960 434133857569100 448138175555200 464624864288000 534318593931200 542667321961375 555691337688448 560172719444000 604012323574400 667898242414000 694614172110560 755015404468000 822028606048000 868267715138200 896276351110400 1068637187862400 1085334643922750 1111382675376896 1120345438888000 1208024647148800 1335796484828000 1389228344221120 1510030808936000 1736535430276400 2137274375724800 2170669287845500 2240690877776000 2671592969656000 2778456688442240 3020061617872000 3473070860552800 4341338575691000 4481381755552000 5343185939312000 5556913376884480 6040123235744000 6946141721105600 8682677151382000 10686371878624000 13892283442211200 17365354302764000 27784566884422400 34730708605528000 69461417211056000 138922834422112000
- Sum of all divisors σ(n): 405005234326842240
- Sum of proper divisors (its aliquot sum) s(n): 266082399904730240
- 138922834422112000 is an abundant number, because the sum of its proper divisors (266082399904730240) is greater than itself. Its abundance is 127159565482618240
Bases of 138922834422112000
- Binary: 1111011011000110110010100111101001110101110011111000000002
- Hexadecimal: 0x1ED8D94F4EB9F00
- Base-36: 11ZW1931MU4G
Squares and roots of 138922834422112000
- 138922834422112000 squared (1389228344221120002) is 19299553923873546788994540544000000
- 138922834422112000 cubed (1389228344221120003) is 2681148734186906683472832165096445194108928000000000
-
The
square root of 138922834422112000 is 372723536.1794476211 -
The
cube root of 138922834422112000 is 517914.2715545717
Scales and comparisons
How big is 138922834422112000?- 138,922,834,422,112,000 seconds is equal to 4,417,316,418 years, 4 weeks, 1 day, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 138,922,834,422,112,000 would take you about thirteen billion, two hundred fifty-one million, nine hundred forty-nine thousand, two hundred fifty-four 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 138922834422112000 cubic inches would be around 43159.5 feet tall.
Recreational maths with 138922834422112000
- 138922834422112000 backwards is 000211224438229831
- 138922834422112000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138922834422112000's digits is 52
- More coming soon!
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Cite this page
MLA style:
"Number 138922834422112000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
APA style:
Numbermatics. (2024). Number 138922834422112000 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/138922834422112000/
Chicago style:
Numbermatics. 2024. "Number 138922834422112000 - Facts about the integer". https://numbermatics.com/n/138922834422112000/
The information we have on file for 138922834422112000 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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