138148404634010496

Names of 138148404634010496

• Cardinal: 138148404634010496 can be written as One hundred thirty-eight quadrillion, one hundred forty-eight trillion, four hundred four billion, six hundred thirty-four million, ten thousand, four hundred ninety-six.

Scientific notation

• Scientific notation: 1.38148404634010496 × 10¹⁷

Factors of 138148404634010496

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 14827

Divisors of 138148404634010496

• Number of divisors d(n): 1024
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 191 192 204 264 272 313 352 374 382 384 408 528 544 561 573 626 704 748 764 816 939 1056 1088 1122 1146 1252 1408 1496 1528 1632 1878 2101 2112 2176 2244 2292 2504 2801 2992 3056 3247 3264 3443 3756 4202 4224 4488 4584 5008 5321 5602 5984 6112 6303 6494 6528 6886 7512 8403 8404 8976 9168 9741 10016 10329 10642 11204 11489 11968 12224 12606 12988 13772 15024 15963 16806 16808 17952 18336 19482 20032 20658 21284 22408 22978 23936 24448 25212 25976 27544 30048 30811 31926 33612 33616 34467 35717 35904 36672 38964 40064 41316 42568 44816 45956 47617 50424 51952 55088 58531 59783 60096 61622 63852 67224 67232 68934 71434 71808 73344 77928 82632 85136 89632 91912 92433 95234 100848 103904 107151 110176 117062 119566 120192 123244 126379 127704 134448 134464 137868 142851 142868 155856 165264 170272 175593 179264 179349 183824 184866 190468 195313 201696 207808 214302 220352 234124 239132 246488 252758 255408 268896 268928 275736 285702 285736 311712 330528 340544 351186 358528 358698 367648 369732 379137 380936 390626 403392 415616 428604 440704 468248 478264 492976 505516 510816 523787 534991 537792 551472 571404 571472 585939 623424 657613 661056 681088 702372 717396 735296 739464 758274 761872 781252 806784 857208 876713 936496 956528 985952 1011032 1016311 1021632 1047574 1069982 1075584 1102944 1142808 1142944 1171878 1246848 1315226 1322112 1404744 1434792 1470592 1478928 1516548 1523744 1562504 1571361 1604973 1714416 1753426 1872992 1913056 1971904 1972839 2022064 2032622 2043264 2095148 2139964 2148443 2194399 2205888 2285616 2285888 2343756 2630139 2630452 2809488 2869584 2957856 3033096 3047488 3048933 3125008 3142722 3209946 3428832 3506852 3596057 3745984 3826112 3943808 3945678 4044128 4065244 4190296 4279928 4296886 4388798 4411776 4571232 4571776 4687512 5260278 5260904 5618976 5739168 5884901 5915712 6066192 6094976 6097866 6250016 6285444 6419892 6445329 6583197 6857664 7013704 7192114 7491968 7652224 7891356 8088256 8130488 8380592 8559856 8593772 8777596 9094847 9142464 9375024 9643843 10520556 10521808 10788171 11179421 11237952 11478336 11769802 11831424 12132384 12195732 12500032 12570888 12839784 12890658 13166394 13715328 14027408 14384228 14904121 15782712 16176512 16260976 16761184 17119712 17187544 17555192 17654703 18189694 18284928 18750048 19287686 21041112 21043616 21576342 22358842 22475904 22956672 23539604 24138389 24264768 24391464 25000064 25141776 25679568 25781316 26332788 27284541 28054816 28768456 28931529 29808242 31565424 32180689 32521952 33522368 33538263 34239424 34375088 35110384 35309406 36379388 37304783 37500096 38575372 39556627 42082224 42087232 43152684 44712363 44717684 47079208 48276778 48529536 48782928 50283552 51359136 51562632 52665576 54569082 56109632 57536912 57863058 59616484 61132969 63130848 64361378 65043904 67044736 67076526 68478848 68750176 70220768 70618812 72415167 72758776 74609566 75000192 77150744 79113254 84164448 84174464 86305368 89424726 89435368 94158416 96542067 96553556 97565856 100043317 100567104 102718272 103125264 105331152 109138164 111914349 112219264 115073824 115726116 118669881 119232968 122265938 126261696 128722756 130087808 134153052 137500352 140441536 141237624 144830334 145517552 149219132 154301488 158226508 163945331 167452183 168328896 172610736 178849452 178870736 183398907 188316832 193084134 193107112 195131712 200086634 201134208 205436544 206250528 210662304 218276328 223828698 230147648 231452232 237339762 238465936 244531876 252523392 257445512 268306104 275000704 280883072 282475248 289660668 291035104 298438264 300129951 308602976 316453016 327890662 334904366 336657792 345221472 353987579 357698904 357741472 366797814 376633664 386168268 386214224 390263424 400173268 410352613 412501056 421324608 436552656 447657396 460295296 462904464 474679524 476931872 489063752 491835993 502356549 514891024 536612208 547071713 564950496 579321336 582070208 596876528 600259902 617205952 632906032 655781324 669808732 672462659 686846887 690442944 707975158 715397808 715482944 733595628 753267328 772336536 772428448 800346536 820705226 825002112 842649216 873105312 895314792 925808928 949359048 953863744 978127504 983671986 1004713098 1029782048 1061962737 1073224416 1094143426 1129900992 1158642672 1164140416 1193753056 1200519804 1231057839 1234411904 1265812064 1311562648 1339617464 1344925318 1373693774 1380885888 1415950316 1430795616 1430965888 1467191256 1544673072 1544856896 1600693072 1641215139 1641410452 1746210624 1790629584 1841974013 1851617856 1898718096 1907727488 1956255008 1967343972 2009426196 2017387977 2059564096 2060540661 2123925474 2146448832 2188286852 2259801984 2317285344 2387506112 2401039608 2462115678 2531624128 2623125296 2679234928 2689850636 2747387548 2831900632 2846687111 2861591232 2934382512 3089346144 3089713792 3201386144 3282430278 3282820904 3492421248 3581259168 3683948026 3703235712 3797436192 3912510016 3934687944 4018852392 4034775954 4119128192 4121081322 4247850948 4292897664 4376573704 4634570688 4775012224 4802079216 4924231356 5063248256 5246250592 5358469856 5379701272 5494775096 5525922039 5663801264 5693374222 5723182464 5868765024 6017788843 6146511599 6178692288 6402772288 6564860556 6565641808 7162518336 7367896052 7555315757 7594872384 7825020032 7869375888 8037704784 8069551908 8242162644 8495701896 8540061333 8753147408 9269141376 9604158432 9848462712 10072555657 10492501184 10716939712 10759402544 10989550192 11051844078 11327602528 11386748444 11676397079 11737530048 12035577686 12293023198 12357384576 12805544576 13129721112 13131283616 14325036672 14735792104 15110631514 15189744768 15738751776 16075409568 16139103816 16484325288 16991403792 17080122666 17506294816 18053366529 18439534797 19208316864 19696925424 20145111314 20985002368 21433879424 21518805088 21979100384 22103688156 22655205056 22665947271 22773496888 23352794158 23475060096 24071155372 24586046396 26259442224 26262567232 29471584208 30217666971 30221263028 31313558221 31477503552 32150819136 32278207632 32968650576 33982807584 34160245332 35012589632 35029191237 36106733058 36879069594 38416633728 39393850848 40290222628 43037610176 43958200768 44207376312 45310410112 45331894542 45546993776 46705588316 48142310744 49172092792 52518884448 52525134464 58943168416 60435333942 60442526056 62627116442 62955007104 64301638272 64556415264 65937301152 67611627589 67965615168 68320490664 70025179264 70058382474 72213466116 73758139188 78787701696 80580445256 86075220352 87916401536 88414752624 90663789084 91093987552 93411176632 93940674663 96284621488 98344185584 104490697183 105037768896 110798112227 117886336832 120870667884 120885052112 125254232884 128440367869 129112830528 131874602304 135223255178 135931230336 136640981328 140116764948 144426932232 147516278376 157575403392 161160890512 171233446169 176829505248 181327578168 182187975104 186822353264 187881349326 192569242976 196688371168 202834882767 208981394366 210075537792 221596224454 235772673664 241741335768 241770104224 250508465768 256880735738 258225661056 263749204608 270446510356 273281962656 280233529896 288853864464 295032556752 313472091549 322321781024 332394336681 342466892338 353659010496 362655156336 364375950208 373644706528 375762698652 385138485952 385321103607 393376742336 405669765534 417962788732 443192448908 483482671536 483540208448 501016931536 513700338507 513761471476 540893020712 546563925312 560467059792 577707728928 590065113504 626944183098 644643562048 664788673362 684933784676 707318020992 725310312672 747289413056 751525397304 770276971904 770642207214 786753484672 811339531068 835925577464 886384897816 966965343072 967080416896 1002033863072 1027400677014 1027522942952 1081786041424 1093127850624 1120934119584 1149397669013 1155415457856 1180130227008 1253888366196 1289287124096 1329577346724 1369867569352 1450620625344 1494578826112 1503050794608 1541284414428 1622679062136 1671851154928 1772769795632 1883567907859 1923858130487 1933930686144 2004067726144 2054801354028 2055045885904 2163572082848 2241868239168 2298795338026 2310830915712 2360260454016 2507776732392 2659154693448 2739735138704 2901241250688 3006101589216 3082568828856 3245358124272 3343702309856 3448193007039 3545539591264 3767135815718 3847716260974 3867861372288 4008135452288 4109602708056 4110091771808 4327144165696 4483736478336 4597590676052 5015553464784 5318309386896 5479470277408 5650703723577 5771574391461 6012203178432 6165137657712 6490716248544 6687404619712 6896386014078 7091079182528 7534271631436 7695432521948 8219205416112 8220183543616 8654288331392 9195181352104 10031106929568 10636618773792 10958940554816 11301407447154 11543148782922 12024406356864 12330275315424 12981432497088 13374809239424 13792772028156 14182158365056 15068543262872 15390865043896 16438410832224 16440367087232 18390362704208 20062213859136 21162439435357 21273237547584 21917881109632 22602814894308 23086297565844 24660550630848 25962864994176 27585544056312 30137086525744 30781730087792 32705588218279 32876821664448 36780725408416 40124427718272 42324878870714 42546475095168 45205629788616 46172595131688 49321101261696 55171088112624 60274173051488 61563460175584 63487318306071 65411176436558 65753643328896 73561450816832 84649757741428 90411259577232 92345190263376 98116764654837 110342176225248 120548346102976 123126920351168 126974636612142 130822352873116 147122901633664 169299515482856 180822519154464 184690380526752 196233529309674 220684352450496 241096692205952 246253840702336 253949273224284 261644705746232 338599030965712 359761470401069 361645038308928 369380761053504 392467058619348 441368704900992 507898546448568 523289411492464 677198061931424 719522940802138 723290076617856 738761522107008 784934117238696 1015797092897136 1046578822984928 1079284411203207 1354396123862848 1439045881604276 1569868234477392 2031594185794272 2093157645969856 2158568822406414 2708792247725696 2878091763208552 3139736468954784 4063188371588544 4186315291939712 4317137644812828 5756183526417104 6279472937909568 8126376743177088 8634275289625656 11512367052834208 12558945875819136 17268550579251312 23024734105668416 34537101158502624 46049468211336832 69074202317005248 138148404634010496
• Sum of all divisors σ(n): 427634720638156800
• Sum of proper divisors (its aliquot sum) s(n): 289486316004146304
• 138148404634010496 is an abundant number, because the sum of its proper divisors (289486316004146304) is greater than itself. Its abundance is 151337911370135808

Bases of 138148404634010496

• Binary: 111101010110011010011110111111000011111110100001110000000₂
• Hexadecimal: 0x1EACD3DF87F4380
• Base-36: 11S9ISY8ZEDC

Squares and roots of 138148404634010496

• 138148404634010496 squared (138148404634010496²) is 19084981702922292685266077038166016
• 138148404634010496 cubed (138148404634010496³) is 2636559774727995586111070293006399592380310734503936
• The square root of 138148404634010496 is 371683204.6703354821
• The cube root of 138148404634010496 is 516950.1011667893

Scales and comparisons

• 138,148,404,634,010,496 seconds is equal to 4,392,691,946 years, 15 weeks, 4 hours, 41 minutes, 36 seconds.
• To count from 1 to 138,148,404,634,010,496 would take you about thirteen billion, one hundred seventy-eight million, seventy-five thousand, eight hundred thirty-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 138148404634010496 cubic inches would be around 43079.2 feet tall.

Recreational maths with 138148404634010496

• 138148404634010496 backwards is 694010436404841831
• 138148404634010496 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138148404634010496's digits is 66
• More coming soon!