138287945607938048
138,287,945,607,938,048 is an even composite number composed of five prime numbers multiplied together.
What does the number 138287945607938048 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 972 divisors.
138287945607938048 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 138287945607938048:
217 × 132 × 232 × 31 × 6172
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 13 × 23 × 23 × 31 × 617 × 617)See below for interesting mathematical facts about the number 138287945607938048 from the Numbermatics database.
Names of 138287945607938048
- Cardinal: 138287945607938048 can be written as One hundred thirty-eight quadrillion, two hundred eighty-seven trillion, nine hundred forty-five billion, six hundred seven million, nine hundred thirty-eight thousand and forty-eight.
Scientific notation
- Scientific notation: 1.38287945607938048 × 1017
Factors of 138287945607938048
Divisors of 138287945607938048
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 4 8 13 16 23 26 31 32 46 52 62 64 92 104 124 128 169 184 208 248 256 299 338 368 403 416 496 512 529 598 617 676 713 736 806 832 992 1024 1058 1196 1234 1352 1426 1472 1612 1664 1984 2048 2116 2392 2468 2704 2852 2944 3224 3328 3887 3968 4096 4232 4784 4936 5239 5408 5704 5888 6448 6656 6877 7774 7936 8021 8192 8464 9269 9568 9872 10478 10816 11408 11776 12896 13312 13754 14191 15548 15872 16042 16384 16399 16928 18538 19127 19136 19744 20956 21632 22816 23552 25792 26624 27508 28382 31096 31744 32084 32768 32798 33856 37076 38254 38272 39488 41912 43264 45632 47104 51584 53248 55016 56764 62192 63488 64168 65536 65596 67712 74152 76508 76544 78976 83824 86528 89401 91264 94208 103168 104273 106496 110032 113528 120497 124384 126976 128336 131072 131192 135424 148304 153016 153088 157952 167648 173056 178802 182528 184483 188416 206336 208546 212992 213187 220064 227056 240994 248651 248768 253952 256672 262384 270848 296608 306032 306176 315904 326393 335296 346112 357604 365056 368966 376832 380689 412672 417092 425984 426374 439921 440128 454112 481988 497302 497536 507904 513344 524768 541696 593216 612064 612352 631808 652786 670592 692224 715208 730112 737932 753664 761378 825344 834184 851968 852748 879842 880256 908224 963976 994604 995072 1015808 1026688 1049536 1083392 1186432 1224128 1224704 1263616 1305572 1341184 1384448 1430416 1460224 1475864 1507328 1522756 1650688 1668368 1703936 1705496 1759684 1760512 1816448 1927952 1989208 1990144 2031616 2053376 2099072 2166784 2372864 2398279 2448256 2449408 2527232 2611144 2682368 2768896 2771431 2860832 2920448 2951728 3014656 3045512 3232463 3301376 3336736 3410992 3519368 3521024 3632896 3855904 3978416 3980288 4063232 4106752 4198144 4243109 4333568 4745728 4796558 4896512 4898816 4948957 5054464 5222288 5364736 5537792 5542862 5718973 5721664 5840896 5903456 6091024 6464926 6602752 6673472 6821984 7038736 7042048 7265792 7711808 7956832 7960576 8213504 8396288 8486218 8667136 8755847 9491456 9593116 9793024 9797632 9897914 10108928 10118183 10444576 10729472 11075584 11085724 11437946 11443328 11681792 11801359 11806912 12182048 12929852 13205504 13346944 13643968 14077472 14084096 14531584 15423616 15913664 15921152 16427008 16792576 16972436 17334272 17511694 18982912 19186232 19586048 19595264 19795828 20217856 20236366 20889152 21458944 22151168 22171448 22875892 22886656 23363584 23602718 23613824 24364096 25859704 26411008 26693888 27287936 28154944 28168192 29063168 30847232 31827328 31842304 32854016 33585152 33944872 34668544 35023388 37965824 38372464 39172096 39190528 39591656 40435712 40472732 41778304 42917888 44342896 45751784 45773312 46727168 47205436 47227648 48728192 51719408 52822016 53387776 54575872 55160417 56309888 56336384 58126336 61694464 63654656 63684608 64336441 65708032 67170304 67889744 69337088 70046776 74346649 75931648 76744928 78344192 79183312 80871424 80945464 83556608 85835776 88685792 91503568 91546624 93454336 94410872 94455296 97456384 103438816 106775552 109151744 110320834 112619776 112672768 113826011 116252672 123388928 127309312 127369216 128672882 131416064 131536379 134340608 135779488 140093552 148693298 151863296 153417667 153489856 156688384 158366624 161890928 167113216 171671552 177371584 183007136 183093248 188821744 188910592 194912768 201384481 206877632 213551104 218303488 220641668 225239552 225345536 227652022 232505344 246777856 254618624 254738432 257345764 262832128 263072758 268681216 271431257 271558976 280187104 297386596 303726592 306835334 306979712 313376768 316733248 323781856 334226432 343343104 354743168 366014272 366186496 377643488 377821184 389825536 402768962 413755264 427102208 436606976 441283336 450479104 450691072 455304044 465010688 493555712 509237248 509476864 514691528 525664256 526145516 537362432 542862514 543117952 560374208 594773192 607453184 613670668 613959424 626753536 633466496 647563712 668452864 686686208 709486336 732028544 732372992 755286976 755642368 779651072 805537924 827510528 854204416 873213952 882566672 900958208 901382144 910608088 930021376 987111424 1018474496 1029383056 1051328512 1052291032 1074724864 1085725028 1086235904 1120748416 1189546384 1214906368 1227341336 1227918848 1253507072 1266932992 1295127424 1336905728 1418972672 1464057088 1464745984 1479738143 1510573952 1511284736 1559302144 1611075848 1655021056 1708408832 1709972927 1746427904 1765133344 1801916416 1821216176 1860042752 1974222848 1994429671 2036948992 2058766112 2104582064 2149449728 2171450056 2172471808 2241496832 2379092768 2454682672 2455837696 2507014144 2533865984 2590254848 2617998253 2673811456 2837945344 2928114176 2929491968 2959476286 3021147904 3022569472 3118604288 3222151696 3310042112 3416817664 3419945854 3492855808 3528606341 3530266688 3603832832 3642432352 3948445696 3988859342 4073897984 4117532224 4209164128 4342900112 4344943616 4482993664 4758185536 4909365344 4911675392 5067731968 5180509696 5235996506 5347622912 5675890688 5856228352 5858983936 5918952572 6042295808 6045138944 6237208576 6242918911 6444303392 6620084224 6833635328 6839891708 6985711616 7057212682 7060533376 7207665664 7284864704 7896891392 7977718684 8147795968 8235064448 8418328256 8685800224 8689887232 8965987328 9516371072 9818730688 9823350784 10135463936 10361019392 10471993012 10695245824 11351781376 11712456704 11717967872 11837905144 12084591616 12090277888 12474417152 12485837822 12888606784 13240168448 13667270656 13679783416 13971423232 14114425364 14121066752 14415331328 14569729408 15793782784 15955437368 16295591936 16470128896 16836656512 17371600448 17379774464 17931974656 19032742144 19637461376 19646701568 20270927872 20722038784 20943986024 21390491648 22703562752 23424913408 23675810288 24169183232 24180555776 24948834304 24971675644 25777213568 26480336896 27359566832 27942846464 28228850728 28242133504 28830662656 29139458816 31910874736 32591183872 32940257792 33673313024 34033977289 34743200896 34759548928 35863949312 38065484288 39274922752 39293403136 40541855744 41444077568 41887972048 42780983296 45407125504 45871882433 46849826816 47351620576 48338366464 49897668608 49943351288 51554427136 52960673792 54719133664 56457701456 56484267008 57661325312 58278917632 63821749472 65880515584 67346626048 68067954578 69486401792 69519097856 71727898624 76130968576 78549845504 78586806272 81083711488 81157945843 82888155136 83775944096 90814251008 91743764866 93699653632 94703241152 96676732928 99886702576 103108854272 105921347584 109438267328 112915402912 112968534016 116557835264 127643498944 131761031168 134693252096 136135909156 138972803584 139038195712 143455797248 152261937152 157099691008 157173612544 162167422976 162315891686 165776310272 167551888192 181628502016 183487529732 187399307264 189406482304 193353465856 199773405152 206217708544 211842695168 218876534656 225830805824 225937068032 233115670528 255286997888 263522062336 269386504192 272271818312 277945607168 278076391424 286911594496 304523874304 314199382016 314347225088 324334845952 324631783372 331552620544 335103776384 363257004032 366975059464 374798614528 378812964608 386706931712 399546810304 412435417088 423685390336 437753069312 451661611648 451874136064 466231341056 510573995776 527044124672 538773008384 544543636624 555891214336 556152782848 573823188992 609047748608 628398764032 648669691904 649263566744 663105241088 670207552768 733950118928 749597229056 757625929216 773413863424 799093620608 824870834176 875506138624 903323223296 903748272128 932462682112 1021147991552 1054088249344 1055053295959 1077546016768 1089087273248 1111782428672 1147646377984 1218095497216 1256797528064 1298527133488 1326210482176 1340415105536 1467900237856 1515251858432 1546827726848 1598187241216 1649741668352 1751012277248 1806646446592 1807496544256 1864925364224 2042295983104 2108176498688 2110106591918 2155092033536 2178174546496 2223564857344 2436190994432 2513595056128 2597054266976 2680830211072 2935800475712 3030503716864 3196374482432 3299483336704 3502024554496 3613292893184 3614993088512 3729850728448 4084591966208 4216352997376 4220213183836 4310184067072 4356349092992 4447129714688 4872381988864 5027190112256 5194108533952 5361660422144 5871600951424 6061007433728 6392748964864 6598966673408 7004049108992 7226585786368 7229986177024 7459701456896 8169183932416 8432705994752 8440426367672 8620368134144 8712698185984 8894259429376 9744763977728 10054380224512 10388217067904 10723320844288 11743201902848 12122014867456 12785497929728 13197933346816 14008098217984 14453171572736 14919402913792 16338367864832 16880852735344 17240736268288 17425396371968 17788518858752 20108760449024 20776434135808 21446641688576 23486403805696 24244029734912 25570995859456 26395866693632 28016196435968 28906343145472 32676735729664 33761705470688 34850792743936 35577037717504 41552868271616 42893283377152 46972807611392 48488059469824 51141991718912 56032392871936 57812686290944 65353471459328 67523410941376 69701585487872 83105736543232 85786566754304 93945615222784 96976118939648 102283983437824 112064785743872 115625372581888 130706942918656 135046821882752 139403170975744 166211473086464 171573133508608 187891230445568 193952237879296 204567966875648 224129571487744 231250745163776 261413885837312 270093643765504 278806341951488 332422946172928 343146267017216 375782460891136 409135933751296 462501490327552 540187287531008 557612683902976 664845892345856 751564921782272 818271867502592 1080374575062016 1115225367805952 1329691784691712 1503129843564544 2160749150124032 2230450735611904 2659383569383424 3006259687129088 4321498300248064 4460901471223808 5318767138766848 6012519374258176 8642996600496128 10637534277533696 17285993200992256 34571986401984512 69143972803969024 138287945607938048
- Sum of all divisors σ(n): 323697423559049568
- Sum of proper divisors (its aliquot sum) s(n): 185409477951111520
- 138287945607938048 is an abundant number, because the sum of its proper divisors (185409477951111520) is greater than itself. Its abundance is 47121532343173472
Bases of 138287945607938048
- Binary: 1111010110100110000100111011000101010111000000000000000002
- Hexadecimal: 0x1EB4C2762AE0000
- Base-36: 11TMZH6U0O3K
Squares and roots of 138287945607938048
- 138287945607938048 squared (1382879456079380482) is 19123555900464032060051390206050304
- 138287945607938048 cubed (1382879456079380483) is 2644557258193732784945609290784884048337819603566592
-
The
square root of 138287945607938048 is 371870872.2230581585 -
The
cube root of 138287945607938048 is 517124.0962912781
Scales and comparisons
How big is 138287945607938048?- 138,287,945,607,938,048 seconds is equal to 4,397,128,917 years, 32 weeks, 5 days, 19 hours, 14 minutes, 8 seconds.
-
To count from 1 to 138,287,945,607,938,048 would take you about thirteen billion, one hundred ninety-one million, three hundred eighty-six thousand, seven hundred fifty-two 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 138287945607938048 cubic inches would be around 43093.7 feet tall.
Recreational maths with 138287945607938048
- 138287945607938048 backwards is 840839706549782831
- 138287945607938048 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138287945607938048's digits is 92
- More coming soon!
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The information we have on file for 138287945607938048 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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