138408021997056
138,408,021,997,056 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138408021997056 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1920 divisors.
138408021997056 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138408021997056:
29 × 33 × 72 × 17 × 53 × 241 × 941
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 17 × 53 × 241 × 941)See below for interesting mathematical facts about the number 138408021997056 from the Numbermatics database.
Names of 138408021997056
- Cardinal: 138408021997056 can be written as One hundred thirty-eight trillion, four hundred eight billion, twenty-one million, nine hundred ninety-seven thousand and fifty-six.
Scientific notation
- Scientific notation: 1.38408021997056 × 1014
Factors of 138408021997056
Divisors of 138408021997056
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 32 34 36 42 48 49 51 53 54 56 63 64 68 72 84 96 98 102 106 108 112 119 126 128 136 144 147 153 159 168 189 192 196 204 212 216 224 238 241 252 256 272 288 294 306 318 336 357 371 378 384 392 408 424 432 441 448 459 476 477 482 504 512 544 576 588 612 636 672 714 723 742 756 768 784 816 833 848 864 882 896 901 918 941 952 954 964 1008 1071 1088 1113 1152 1176 1224 1272 1323 1344 1428 1431 1446 1484 1512 1536 1568 1632 1666 1687 1696 1728 1764 1792 1802 1836 1882 1904 1908 1928 2016 2142 2169 2176 2226 2304 2352 2448 2499 2544 2597 2646 2688 2703 2823 2856 2862 2892 2968 3024 3136 3213 3264 3332 3339 3374 3392 3456 3528 3584 3604 3672 3764 3808 3816 3856 4032 4097 4284 4338 4352 4452 4608 4704 4896 4998 5061 5088 5194 5292 5376 5406 5646 5712 5724 5784 5936 6048 6272 6307 6426 6507 6528 6587 6664 6678 6748 6784 6912 7056 7208 7344 7497 7528 7616 7632 7712 7791 8064 8109 8194 8469 8568 8676 8704 8904 9408 9792 9996 10017 10122 10176 10388 10584 10752 10812 11292 11424 11448 11568 11809 11872 12096 12291 12544 12614 12773 12852 13014 13056 13174 13328 13356 13496 13568 13824 14112 14416 14688 14994 15056 15183 15232 15264 15424 15582 15997 16128 16218 16388 16938 17136 17352 17808 18816 18921 19584 19761 19992 20034 20244 20352 20776 21168 21624 22491 22584 22848 22896 23136 23373 23618 23744 24192 24327 24582 25088 25228 25407 25546 25704 26028 26112 26348 26656 26712 26992 27136 28224 28679 28832 29376 29988 30112 30366 30464 30528 30848 31164 31994 32256 32436 32776 33876 34272 34704 35427 35616 36873 37632 37842 38319 39168 39522 39984 40068 40488 40704 41552 42336 43248 44149 44982 45168 45549 45696 45792 46109 46272 46746 47236 47488 47991 48384 48654 49164 49873 50456 50814 51092 51408 52056 52696 53312 53424 53984 56448 56763 57358 57664 58752 59283 59976 60224 60732 60928 61056 61696 62328 63988 64872 65552 67752 68544 69408 70119 70854 71232 73746 75264 75684 76638 78336 79044 79968 80136 80976 81408 83104 84672 86037 86496 88298 89411 89964 90336 91098 91392 91584 92218 92544 93492 94472 94976 95982 96768 97308 98328 99746 100912 101628 102184 102816 104112 105392 106281 106624 106848 107968 110619 111979 112896 113526 114716 114957 115328 117504 118566 119952 120448 121464 122112 123392 124656 127976 129744 131104 132447 135504 137088 138327 138816 140238 141708 142464 143973 147492 149619 151368 153276 158088 159936 160272 161952 166208 169344 170289 172074 172992 176596 177849 178822 179928 180672 182196 182784 183168 184436 185088 186984 188944 189952 191964 194616 196656 199492 200753 201824 203256 204368 205632 208224 210784 212562 213248 213696 215936 217141 221238 223958 225792 226781 227052 229432 229914 230656 235008 237132 239904 240896 242928 244224 249312 255952 258111 259488 262208 264894 268233 271008 274176 276654 277632 280476 283416 284928 287946 294984 299238 302736 306552 316176 318843 319872 320544 323904 332416 335937 338688 340578 344148 344871 345984 349111 353192 355698 357644 359856 361344 364392 366336 368872 370176 373968 377888 383928 389232 393312 397341 398984 401506 403648 406512 408736 411264 414981 416448 421568 425124 426496 427392 431872 431919 434282 442476 447916 448857 453562 454104 458864 459828 461312 474264 479808 481792 485856 498624 511904 516222 518976 524416 529788 536466 542016 548352 553308 555264 560952 566832 569856 575892 589968 598476 602259 605472 613104 625877 632352 637686 639744 641088 647808 651423 664832 671874 677376 680343 681156 688296 689742 691968 698222 706384 711396 715288 719712 722688 728784 732672 737744 747936 755776 767856 774333 778464 783853 786624 794682 797968 803012 804699 807296 813024 817472 822528 829962 832896 843136 847841 850248 854784 863744 863838 868564 884952 895832 897714 907124 908208 917728 919656 948528 959616 971712 997248 1007811 1023808 1032444 1037952 1047333 1048832 1059576 1072932 1084032 1106616 1110528 1121904 1133664 1151784 1179936 1192023 1196952 1204518 1210944 1226208 1244943 1251754 1264704 1275372 1279488 1282176 1295616 1302846 1329664 1343748 1346571 1360686 1362312 1376592 1379484 1383936 1396444 1412768 1422792 1430576 1439424 1445376 1457568 1475488 1495872 1511552 1519987 1535712 1548666 1556928 1567706 1573248 1587467 1589364 1595936 1606024 1609398 1614592 1626048 1634944 1645056 1659924 1665792 1686272 1695682 1700496 1709568 1727676 1737128 1769904 1791664 1795428 1806777 1814248 1816416 1835456 1839312 1877631 1897056 1919232 1943424 1954269 1994496 2015622 2041029 2047616 2064888 2075904 2094666 2097664 2119152 2145864 2168064 2213232 2243808 2267328 2303568 2351559 2359872 2384046 2393904 2409036 2414097 2421888 2443777 2452416 2489886 2503508 2529408 2543523 2550744 2564352 2591232 2605692 2687496 2693142 2721372 2724624 2753184 2758968 2792888 2825536 2845584 2861152 2878848 2915136 2950976 2991744 3023104 3023433 3039974 3071424 3097332 3113856 3135412 3141999 3146496 3174934 3178728 3191872 3212048 3218796 3229184 3252096 3269888 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54719532 55285632 55588096 56437416 56636928 57148812 57333248 57453696 57816864 58055936 58650648 58857984 60084192 61044552 61684432 62536608 63839454 64499904 65312928 65981979 66076416 66673614 67029312 67594716 67812864 68667648 69394986 70823424 71218644 72116358 72959376 73714176 75249888 75407976 76198416 76289472 76604928 77089152 77251104 78200864 79676352 80112256 80960817 81392736 81623808 82079298 83088418 83382144 84135751 84656124 85119272 85723218 85999872 86180544 86725296 87083904 87187968 87975972 88286976 88898152 89372416 90126288 91058688 91566828 92526648 93804912 94958192 95759181 96155144 96749856 97279168 97969392 99114624 100010421 100333184 100543968 101597888 101719296 102785536 103001472 104092479 106235136 106827966 107947756 108174537 108523648 109439064 110571264 111176192 112874832 114297624 114907392 115633728 116111872 117301296 120168384 122089104 123368864 124632627 125073216 127678908 128999808 130625856 131963958 132152832 133347228 134058624 135189432 137335296 138789972 142437288 144232716 145918752 150499776 150815952 152396832 152578944 154178304 154502208 156401728 159352704 160224512 160241949 161921634 162785472 163247616 164158596 166176836 166764288 168271502 169312248 170238544 171446436 171999744 172361088 173450592 174167808 175951944 176573952 177796304 178744832 180252576 183133656 185053296 187609824 188908573 189916384 191518362 192310288 193499712 194558336 195938784 198229248 200020842 200666368 201087936 203195776 203438592 204329681 206002944 208184958 212470272 213655932 215895512 216349074 217047296 218878128 221142528 225749664 228595248 229814784 231267456 234602592 240336768 242882451 244178208 246737728 249265254 250146432 252407253 255357816 257999616 261251712 263927916 266694456 268117248 270378864 277579944 284874576 287277543 288465432 291837504 300031263 300999552 301631904 304793664 305157888 308356608 309004416 312803456 318705408 320449024 320483898 323843268 324523611 325570944 328317192 332353672 333528576 336543004 338624496 340477088 342892872 344722176 346901184 348335616 351903888 355592608 360505152 366267312 370106592 373897881 375219648 377817146 379832768 383036724 384620576 386999424 389116672 391877568 396458496 400041684 401332736 402175872 406391552 408659362 412005888 416369916 427311864 431791024 432698148 434094592 437756256 451499328 457190496 462534912 469205184 480673536 485764902 488356416 493475456 498530508 500292864 504814506 510715632 515999232 522503424 527855832 533388912 536234496 540757728 555159888 566725719 569749152 574555086 576930864 583675008 588950257 600062526 601999104 603263808 609587328 610315776 612989043 618008832 625606912 637410816 640967796 647686536 649047222 651141888 656634384 664707344 673086008 677248992 680954176 685785744 689444352 693802368 703807776 711185216 721010304 728647353 732534624 740213184 747795762 750439296 755634292 757221759 759665536 766073448 769241152 773998848 778233344 783755136 800083368 804351744 812783104 817318724 832739832 854623728 863582048 865396296 875512512 902998656 914380992 925069824 938410368 961347072 971529804 976712832 986950912 997061016 1000585728 1009629012 1021431264 1045006848 1055711664 1066777824 1081515456 1110319776 1121693643 1133451438 1139498304 1149110172 1153861728 1167350016 1177900514 1200125052 1203998208 1206527616 1219174656 1225978086 1236017664 1251213824 1281935592 1295373072 1298094444 1302283776 1313268768 1329414688 1346172016 1354497984 1361908352 1371571488 1387604736 1407615552 1422370432 1430307767 1442020608 1457294706 1465069248 1480426368 1495591524 1500878592 1511268584 1514443518 1519331072 1532146896 1538482304 1547997696 1567510272 1600166736 1608703488 1634637448 1665479664 1700177157 1709247456 1727164096 1730792592 1751025024 1766850771 1805997312 1828761984 1838967129 1876820736 1943059608 1953425664 1973901824 1994122032 2019258024 2042862528 2111423328 2133555648 2163030912 2220639552 2243387286 2266902876 2271665277 2278996608 2298220344 2307723456 2334700032 2355801028 2400250104 2413055232 2438349312 2451956172 2563871184 2590746144 2596188888 2626537536 2658829376 2692344032 2708995968 2723816704 2743142976 2775209472 2815231104 2844740864 2860615534 2884041216 2914589412 2930138496 2960852736 2991183048 3001757184 3022537168 3028887036 3038662144 3064293792 3076964608 3135020544 3200333472 3269274896 3330959328 3400354314 3418494912 3454328192 3461585184 3502050048 3533701542 3611994624 3657523968 3677934258 3753641472 3886119216 3906851328 3988244064 4038516048 4085725056 4222846656 4267111296 4290923301 4326061824 4441279104 4486774572 4533805752 4543330554 4557993216 4596440688 4615446912 4711602056 4800500208 4826110464 4903912344 5100531471 5127742368 5181492288 5192377776 5253075072 5300552313 5317658752 5384688064 5417991936 5447633408 5486285952 5516901387 5630462208 5689481728 5721231068 5829178824 5860276992 5921705472 5982366096 6045074336 6057774072 6128587584 6153929216 6400666944 6538549792 6661918656 6800708628 6836989824 6908656384 6923170368 7004100096 7067403084 7315047936 7355868516 7772238432 7976488128 8077032096 8171450112 8445693312 8534222592 8581846602 8652123648 8882558208 8973549144 9067611504 9086661108 9115986432 9192881376 9230893824 9423204112 9601000416 9807824688 10012154369 10201062942 10255484736 10362984576 10384755552 10506150144 10601104626 10635317504 10769376128 10835983872 10972571904 11033802774 11260924416 11442462136 11658357648 11720553984 11964732192 12090148672 12115548144 12257175168 12801333888 12872769903 13077099584 13323837312 13601417256 13673979648 13817312768 13846340736 14134806168 14711737032 15544476864 15901656939 15952976256 16154064192 16342900224 16891386624 17068445184 17163693204 17765116416 17947098288 18135223008 18173322216 18385762752 18461787648 18846408224 19202000832 19615649376 20024308738 20402125884 20510969472 20725969152 20769511104 21012300288 21202209252 21270635008 21538752256 21945143808 22067605548 22884924272 23316715296 23929464384 24180297344 24231096288 24514350336 25602667776 25745539806 26154199168 26647674624 27202834512 27347959296 27692681472 28269612336 29423474064 30036463107 31088953728 31803313878 31905952512 32308128384 33782773248 34327386408 35894196576 36270446016 36346644432 36771525504 37692816448 38404001664 38618309709 39231298752 40048617476 40804251768 41021938944 41451938304 41539022208 42404418504 43077504512 44135211096 45769848544 46633430592 47858928768 48360594688 48462192576 49028700672 51205335552 51491079612 52308398336 53295349248 54405669024 55385362944 56539224672 58846948128 60072926214 62177907456 63606627756 63811905024 64616256768 68654772816 71788393152 72540892032 72693288864 73543051008 75385632896 76808003328 77236619418 78462597504 80097234952 81608503536 82043877888 83078044416 84808837008 88270422192 90109389321 91539697088 93266861184 95717857536 96721189376 96924385152 102982159224 104616796672 108811338048 113078449344 117693896256 120145852428 124355814912 127213255512 129232513536 137309545632 143576786304 145081784064 145386577728 147086102016 150771265792 153616006656 154473238836 156925195008 160194469904 163217007072 166156088832 169617674016 176540844384 180218778642 183079394176 186533722368 191435715072 193848770304 205964318448 217622676096 226156898688 235387792512 240291704856 254426511024 270328167963 274619091264 287153572608 290163568128 290773155456 301542531584 308946477672 313850390016 320388939808 326434014144 339235348032 353081688768 360437557284 366158788352 373067444736 387697540608 411928636896 435245352192 452313797376 470775585024 480583409712 508853022048 540656335926 549238182528 574307145216 581546310912 617892955344 640777879616 652868028288 678470696064 706163377536 720875114568 732317576704 823857273792 870490704384 904627594752 941551170048 961166819424 1017706044096 1081312671852 1098476365056 1163092621824 1235785910688 1281555759232 1305736056576 1356941392128 1412326755072 1441750229136 1647714547584 1922333638848 2035412088192 2162625343704 2196952730112 2471571821376 2563111518464 2611472113152 2713882784256 2824653510144 2883500458272 3295429095168 3844667277696 4070824176384 4325250687408 4943143642752 5126223036928 5767000916544 6590858190336 7689334555392 8141648352768 8650501374816 9886287285504 11534001833088 15378669110784 17301002749632 19772574571008 23068003666176 34602005499264 46136007332352 69204010998528 138408021997056
- Sum of all divisors σ(n): 516824406299520
- Sum of proper divisors (its aliquot sum) s(n): 378416384302464
- 138408021997056 is an abundant number, because the sum of its proper divisors (378416384302464) is greater than itself. Its abundance is 240008362305408
Bases of 138408021997056
- Binary: 111110111100001101000001111110000110110000000002
- Hexadecimal: 0x7DE1A0FC3600
- Base-36: 1D27RMPHC0
Squares and roots of 138408021997056
- 138408021997056 squared (1384080219970562) is 19156780553137537566472667136
- 138408021997056 cubed (1384080219970563) is 2651452104191434906577738464762469459951616
-
The
square root of 138408021997056 is 11764693.8760452241 -
The
cube root of 138408021997056 is 51727.3727146107
Scales and comparisons
How big is 138408021997056?- 138,408,021,997,056 seconds is equal to 4,400,946 years, 50 weeks, 5 days, 57 minutes, 36 seconds.
-
To count from 1 to 138,408,021,997,056 would take you about eleven million, two thousand, three hundred sixty-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 138408021997056 cubic inches would be around 4310.6 feet tall.
Recreational maths with 138408021997056
- 138408021997056 backwards is 650799120804831
- 138408021997056 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138408021997056's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 138408021997056 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 138408021997056 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/138408021997056/
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The information we have on file for 138408021997056 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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