138188391634944
138,188,391,634,944 is an even composite number composed of five prime numbers multiplied together.
What does the number 138188391634944 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
138188391634944 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138188391634944:
211 × 33 × 72 × 89 × 7572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 89 × 757 × 757)See below for interesting mathematical facts about the number 138188391634944 from the Numbermatics database.
Names of 138188391634944
- Cardinal: 138188391634944 can be written as One hundred thirty-eight trillion, one hundred eighty-eight billion, three hundred ninety-one million, six hundred thirty-four thousand, nine hundred forty-four.
Scientific notation
- Scientific notation: 1.38188391634944 × 1014
Factors of 138188391634944
Divisors of 138188391634944
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 84 89 96 98 108 112 126 128 144 147 168 178 189 192 196 216 224 252 256 267 288 294 336 356 378 384 392 432 441 448 504 512 534 576 588 623 672 712 756 757 768 784 801 864 882 896 1008 1024 1068 1152 1176 1246 1323 1344 1424 1512 1514 1536 1568 1602 1728 1764 1792 1869 2016 2048 2136 2271 2304 2352 2403 2492 2646 2688 2848 3024 3028 3072 3136 3204 3456 3528 3584 3738 4032 4272 4361 4542 4608 4704 4806 4984 5292 5299 5376 5607 5696 6048 6056 6144 6272 6408 6813 6912 7056 7168 7476 8064 8544 8722 9084 9216 9408 9612 9968 10584 10598 10752 11214 11392 12096 12112 12544 12816 13083 13626 13824 14112 14336 14952 15897 16128 16821 17088 17444 18168 18432 18816 19224 19936 20439 21168 21196 21504 22428 22784 24192 24224 25088 25632 26166 27252 27648 28224 29904 31794 32256 33642 34176 34888 36336 37093 37632 38448 39249 39872 40878 42336 42392 43008 44856 45568 47691 48384 48448 50176 51264 52332 54504 55296 56448 59808 63588 64512 67284 67373 68352 69776 72672 74186 75264 76896 78498 79744 81756 84672 84784 89712 91136 95382 96768 96896 100352 102528 104664 109008 111279 112896 117747 119616 127176 129024 134568 134746 136704 139552 143073 145344 148372 150528 153792 156996 159488 163512 169344 169568 179424 182272 190764 193536 193792 202119 205056 209328 218016 222558 225792 235494 239232 254352 269136 269492 273408 279104 286146 290688 296744 301056 307584 313992 318976 327024 333837 338688 339136 358848 381528 387072 387584 404238 410112 418656 436032 445116 451584 470988 471611 478464 508704 538272 538984 546816 558208 572292 573049 581376 593488 606357 615168 627984 637952 654048 667674 677376 678272 717696 763056 775168 808476 820224 837312 872064 890232 903168 941976 943222 956928 1001511 1017408 1076544 1077968 1116416 1144584 1146098 1162752 1186976 1212714 1230336 1255968 1275904 1308096 1335348 1354752 1356544 1414833 1435392 1526112 1550336 1616952 1640448 1674624 1719147 1744128 1780464 1819071 1883952 1886444 1913856 2003022 2034816 2153088 2155936 2232832 2289168 2292196 2325504 2373952 2425428 2460672 2511936 2616192 2670696 2709504 2713088 2829666 2870784 3052224 3233904 3301277 3349248 3438294 3488256 3560928 3638142 3767904 3772888 3827712 4006044 4011343 4069632 4244499 4306176 4311872 4465664 4578336 4584392 4651008 4747904 4850856 4921344 5023872 5157441 5232384 5341392 5426176 5659332 5741568 6104448 6467808 6602554 6698496 6876588 6976512 7121856 7276284 7535808 7545776 8012088 8022686 8139264 8488998 8612352 8623744 8931328 9156672 9168784 9495808 9701712 9903831 10047744 10314882 10464768 10682784 10852352 11318664 11483136 12034029 12208896 12733497 12935616 13205108 13396992 13753176 13953024 14243712 14552568 15071616 15091552 15472323 16024176 16045372 16278528 16977996 17224704 17247488 18313344 18337568 18991616 19403424 19807662 20095488 20629764 20929536 21365568 22637328 24068058 24417792 25466994 25871232 26410216 26793984 27506352 28079401 28487424 29105136 29711493 30143232 30183104 30944646 32048352 32090744 32557056 33955992 34449408 34494976 36102087 36626688 36675136 37983232 38806848 39615324 40190976 41259528 41859072 42731136 45274656 48136116 48835584 50933988 51001361 51742464 52820432 55012704 56158802 56974848 58210272 59422986 60286464 60366208 61889292 64096704 64181488 67911984 68989952 72204174 73253376 73350272 75966464 77613696 79230648 80381952 82519056 84238203 85462272 89134479 90549312 96272232 97671168 101867976 102002722 103484928 105640864 108306261 110025408 112317604 113949696 116420544 118845972 120572928 120732416 123778584 128193408 128362976 135823968 137979904 144408348 146506752 146700544 153004083 155227392 158461296 165038112 168476406 170924544 178268958 181098624 192544464 203735952 204005444 206969856 211281728 216612522 220050816 224635208 227899392 232841088 237691944 241145856 241464832 247557168 252714609 256386816 256725952 271647936 288816696 293013504 293401088 306008166 310454784 316922592 330076224 336952812 341849088 356537916 357009527 362197248 385088928 407471904 408010888 413939712 422563456 433225044 440101632 449270416 459012249 465682176 475383888 482929664 495114336 505429218 512773632 513451904 543295872 577633392 586802176 612016332 620909568 633845184 660152448 673905624 683698176 713075832 714019054 724394496 758143827 770177856 814943808 816021776 845126912 866450088 880203264 898540832 918024498 931364352 950767776 965859328 990228672 1010858436 1025547264 1026903808 1071028581 1086591744 1155266784 1173604352 1224032664 1241819136 1267690368 1320304896 1347811248 1377036747 1426151664 1428038108 1448788992 1516287654 1540355712 1629887616 1632043552 1690253824 1732900176 1760406528 1797081664 1836048996 1862728704 1901535552 1980457344 2021716872 2051094528 2053807616 2142057162 2173183488 2310533568 2448065328 2499066689 2535380736 2640609792 2695622496 2754073494 2852303328 2856076216 2897577984 3032575308 3080711424 3213085743 3259775232 3264087104 3380507648 3465800352 3520813056 3594163328 3672097992 3725457408 3803071104 3960914688 4043433744 4107615232 4284114324 4346366976 4621067136 4896130656 4998133378 5070761472 5281219584 5391244992 5508146988 5704606656 5712152432 6065150616 6161422848 6426171486 6519550464 6528174208 6761015296 6931600704 7188326656 7344195984 7497200067 7606142208 7921829376 8086867488 8215230464 8568228648 8692733952 9242134272 9639257229 9792261312 9996266756 10141522944 10562439168 10782489984 11016293976 11409213312 11424304864 12130301232 12322845696 12852342972 13039100928 13056348416 13863201408 14376653312 14688391968 14994400134 15212284416 15843658752 16173734976 17136457296 18484268544 19278514458 19584522624 19992533512 20283045888 21564979968 22032587952 22491600201 22818426624 22848609728 24260602464 24645691392 25704685944 26078201856 26112696832 27726402816 28753306624 29376783936 29988800268 30424568832 31687317504 32347469952 34272914592 36968537088 38557028916 39169045248 39985067024 43129959936 44065175904 44983200402 45636853248 45697219456 48521204928 51409371888 52225393664 55452805632 57506613248 58753567872 59977600536 60849137664 64694939904 67474800603 68545829184 73937074176 77114057832 78338090496 79970134048 86259919872 88130351808 89966400804 91273706496 91394438912 97042409856 102818743776 104450787328 110905611264 117507135744 119955201072 129389879808 134949601206 137091658368 154228115664 156676180992 159940268096 172519839744 176260703616 179932801608 182547412992 182788877824 194084819712 205637487552 221811222528 235014271488 239910402144 258779759616 269899202412 274183316736 308456231328 313352361984 319880536192 352521407232 359865603216 365577755648 388169639424 411274975104 470028542976 479820804288 517559519232 539798404824 548366633472 616912462656 639761072384 705042814464 719731206432 731155511296 776339278848 822549950208 940057085952 959641608576 1079596809648 1096733266944 1233824925312 1279522144768 1410085628928 1439462412864 1552678557696 1645099900416 1919283217152 2159193619296 2193466533888 2467649850624 2559044289536 2820171257856 2878924825728 3290199800832 3838566434304 4318387238592 4935299701248 5118088579072 5757849651456 6580399601664 7677132868608 8636774477184 9870599402496 11515699302912 15354265737216 17273548954368 19741198804992 23031398605824 34547097908736 46062797211648 69094195817472 138188391634944
- Sum of all divisors σ(n): 482166579258000
- Sum of proper divisors (its aliquot sum) s(n): 343978187623056
- 138188391634944 is an abundant number, because the sum of its proper divisors (343978187623056) is greater than itself. Its abundance is 205789795988112
Bases of 138188391634944
- Binary: 111110110101110011111011111111011011000000000002
- Hexadecimal: 0x7DAE7DFED800
- Base-36: 1CZEVCGLC0
Squares and roots of 138188391634944
- 138188391634944 squared (1381883916349442) is 19096031582652660873361883136
- 138188391634944 cubed (1381883916349443) is 2638849891016865395174344496869761701904384
-
The
square root of 138188391634944 is 11755355.8701956785 -
The
cube root of 138188391634944 is 51699.9973355859
Scales and comparisons
How big is 138188391634944?- 138,188,391,634,944 seconds is equal to 4,393,963 years, 21 weeks, 1 day, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 138,188,391,634,944 would take you about ten million, nine hundred eighty-four thousand, nine hundred eight 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 138188391634944 cubic inches would be around 4308.3 feet tall.
Recreational maths with 138188391634944
- 138188391634944 backwards is 449436193881831
- 138188391634944 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138188391634944's digits is 72
- More coming soon!
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The information we have on file for 138188391634944 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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