138242902160572416

Names of 138242902160572416

• Cardinal: 138242902160572416 can be written as One hundred thirty-eight quadrillion, two hundred forty-two trillion, nine hundred two billion, one hundred sixty million, five hundred seventy-two thousand, four hundred sixteen.

Scientific notation

• Scientific notation: 1.38242902160572416 × 10¹⁷

Factors of 138242902160572416

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 36
• Sum of prime factors: 46

Divisors of 138242902160572416

• Number of divisors d(n): 945
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 81 82 96 108 123 128 144 162 164 192 216 243 246 256 288 324 328 369 384 432 486 492 512 576 648 656 729 738 768 864 972 984 1024 1107 1152 1296 1312 1458 1476 1536 1681 1728 1944 1968 2048 2214 2304 2592 2624 2916 2952 3072 3321 3362 3456 3888 3936 4096 4428 4608 5043 5184 5248 5832 5904 6144 6642 6724 6912 7776 7872 8192 8856 9216 9963 10086 10368 10496 11664 11808 12288 13284 13448 13824 15129 15552 15744 16384 17712 18432 19926 20172 20736 20992 23328 23616 24576 26568 26896 27648 29889 30258 31104 31488 32768 35424 36864 39852 40344 41472 41984 45387 46656 47232 49152 53136 53792 55296 59778 60516 62208 62976 65536 68921 70848 73728 79704 80688 82944 83968 90774 93312 94464 98304 106272 107584 110592 119556 121032 124416 125952 131072 136161 137842 141696 147456 159408 161376 165888 167936 181548 186624 188928 196608 206763 212544 215168 221184 239112 242064 248832 251904 262144 272322 275684 283392 294912 318816 322752 331776 335872 363096 373248 377856 393216 408483 413526 425088 430336 442368 478224 484128 497664 503808 524288 544644 551368 566784 589824 620289 637632 645504 663552 671744 726192 746496 755712 786432 816966 827052 850176 860672 884736 956448 968256 995328 1007616 1048576 1089288 1102736 1133568 1179648 1225449 1240578 1275264 1291008 1327104 1343488 1452384 1492992 1511424 1572864 1633932 1654104 1700352 1721344 1769472 1860867 1912896 1936512 1990656 2015232 2097152 2178576 2205472 2267136 2359296 2450898 2481156 2550528 2582016 2654208 2686976 2825761 2904768 2985984 3022848 3145728 3267864 3308208 3400704 3442688 3538944 3721734 3825792 3873024 3981312 4030464 4194304 4357152 4410944 4534272 4718592 4901796 4962312 5101056 5164032 5308416 5373952 5582601 5651522 5809536 5971968 6045696 6291456 6535728 6616416 6801408 6885376 7077888 7443468 7651584 7746048 7962624 8060928 8388608 8477283 8714304 8821888 9068544 9437184 9803592 9924624 10202112 10328064 10616832 10747904 11165202 11303044 11619072 11943936 12091392 12582912 13071456 13232832 13602816 13770752 14155776 14886936 15303168 15492096 15925248 16121856 16747803 16777216 16954566 17428608 17643776 18137088 18874368 19607184 19849248 20404224 20656128 21233664 21495808 22330404 22606088 23238144 23887872 24182784 25165824 25431849 26142912 26465664 27205632 27541504 28311552 29773872 30606336 30984192 31850496 32243712 33495606 33554432 33909132 34857216 35287552 36274176 37748736 39214368 39698496 40808448 41312256 42467328 42991616 44660808 45212176 46476288 47775744 48365568 50243409 50331648 50863698 52285824 52931328 54411264 55083008 56623104 59547744 61212672 61968384 63700992 64487424 66991212 67108864 67818264 69714432 70575104 72548352 75497472 76295547 78428736 79396992 81616896 82624512 84934656 85983232 89321616 90424352 92952576 95551488 96731136 100486818 100663296 101727396 104571648 105862656 108822528 110166016 113246208 119095488 122425344 123936768 127401984 128974848 133982424 135636528 139428864 141150208 145096704 150994944 152591094 156857472 158793984 163233792 165249024 169869312 171966464 178643232 180848704 185905152 191102976 193462272 200973636 201326592 203454792 209143296 211725312 217645056 220332032 226492416 228886641 238190976 244850688 247873536 254803968 257949696 267964848 271273056 278857728 282300416 290193408 301989888 305182188 313714944 317587968 326467584 330498048 339738624 343932928 357286464 361697408 371810304 382205952 386924544 401947272 406909584 418286592 423450624 435290112 440664064 452984832 457773282 476381952 489701376 495747072 509607936 515899392 535929696 542546112 557715456 564600832 580386816 603979776 610364376 627429888 635175936 652935168 660996096 679477248 686659923 687865856 714572928 723394816 743620608 764411904 773849088 803894544 813819168 836573184 846901248 870580224 881328128 905969664 915546564 952763904 979402752 991494144 1019215872 1031798784 1071859392 1085092224 1115430912 1129201664 1160773632 1220728752 1254859776 1270351872 1305870336 1321992192 1358954496 1373319846 1375731712 1429145856 1446789632 1487241216 1528823808 1547698176 1607789088 1627638336 1673146368 1693802496 1741160448 1762656256 1811939328 1831093128 1905527808 1958805504 1982988288 2038431744 2059979769 2063597568 2143718784 2170184448 2230861824 2258403328 2321547264 2441457504 2509719552 2540703744 2611740672 2643984384 2717908992 2746639692 2751463424 2858291712 2893579264 2974482432 3057647616 3095396352 3215578176 3255276672 3346292736 3387604992 3482320896 3525312512 3662186256 3811055616 3917611008 3965976576 4076863488 4119959538 4127195136 4287437568 4340368896 4461723648 4516806656 4643094528 4882915008 5019439104 5081407488 5223481344 5287968768 5435817984 5493279384 5716583424 5787158528 5948964864 6115295232 6190792704 6431156352 6510553344 6692585472 6775209984 6964641792 7050625024 7324372512 7622111232 7835222016 7931953152 8153726976 8239919076 8254390272 8574875136 8680737792 8923447296 9033613312 9286189056 9765830016 10038878208 10162814976 10446962688 10575937536 10986558768 11433166848 11574317056 11897929728 12230590464 12381585408 12862312704 13021106688 13385170944 13550419968 13929283584 14101250048 14648745024 15244222464 15670444032 15863906304 16307453952 16479838152 17149750272 17361475584 17846894592 18067226624 18572378112 19531660032 20077756416 20325629952 20893925376 21151875072 21973117536 22866333696 23148634112 23795859456 24461180928 24763170816 25724625408 26042213376 26770341888 27100839936 27858567168 28202500096 29297490048 30488444928 31340888064 31727812608 32959676304 34299500544 34722951168 35693789184 36134453248 37144756224 39063320064 40155512832 40651259904 41787850752 42303750144 43946235072 45732667392 46297268224 47591718912 48922361856 51449250816 52084426752 53540683776 54201679872 55717134336 56405000192 58594980096 60976889856 62681776128 63455625216 65919352608 68599001088 69445902336 71387578368 72268906496 74289512448 78126640128 80311025664 81302519808 83575701504 84607500288 87892470144 91465334784 92594536448 95183437824 102898501632 104168853504 107081367552 108403359744 111434268672 112810000384 117189960192 121953779712 125363552256 126911250432 131838705216 137198002176 138891804672 142775156736 144537812992 156253280256 160622051328 162605039616 167151403008 169215000576 175784940288 182930669568 185189072896 190366875648 205797003264 208337707008 214162735104 216806719488 222868537344 234379920384 243907559424 250727104512 253822500864 263677410432 274396004352 277783609344 285550313472 289075625984 312506560512 321244102656 325210079232 334302806016 338430001152 351569880576 365861339136 370378145792 380733751296 411594006528 416675414016 428325470208 433613438976 468759840768 487815118848 501454209024 507645001728 527354820864 548792008704 555567218688 571100626944 578151251968 625013121024 642488205312 650420158464 668605612032 703139761152 731722678272 740756291584 761467502592 823188013056 833350828032 856650940416 867226877952 937519681536 975630237696 1002908418048 1015290003456 1054709641728 1097584017408 1111134437376 1142201253888 1156302503936 1250026242048 1284976410624 1300840316928 1406279522304 1463445356544 1481512583168 1522935005184 1646376026112 1666701656064 1713301880832 1734453755904 1875039363072 1951260475392 2005816836096 2109419283456 2195168034816 2222268874752 2284402507776 2312605007872 2500052484096 2569952821248 2601680633856 2812559044608 2926890713088 2963025166336 3045870010368 3292752052224 3333403312128 3426603761664 3468907511808 3750078726144 3902520950784 4218838566912 4390336069632 4444537749504 4568805015552 4625210015744 5000104968192 5139905642496 5203361267712 5625118089216 5853781426176 5926050332672 6585504104448 6666806624256 6853207523328 6937815023616 7500157452288 7805041901568 8437677133824 8780672139264 8889075499008 9137610031104 10000209936384 10279811284992 10406722535424 11250236178432 11707562852352 11852100665344 13171008208896 13333613248512 13706415046656 13875630047232 15000314904576 15610083803136 16875354267648 17561344278528 17778150998016 20000419872768 20559622569984 20813445070848 22500472356864 23415125704704 23704201330688 26342016417792 26667226497024 27412830093312 30000629809152 31220167606272 33750708535296 35122688557056 35556301996032 40000839745536 41119245139968 41626890141696 45000944713728 46830251409408 47408402661376 52684032835584 53334452994048 60001259618304 62440335212544 67501417070592 70245377114112 71112603992064 80001679491072 82238490279936 90001889427456 93660502818816 94816805322752 105368065671168 106668905988096 120002519236608 124880670425088 135002834141184 140490754228224 142225207984128 160003358982144 180003778854912 187321005637632 189633610645504 210736131342336 213337811976192 240005038473216 270005668282368 280981508456448 284450415968256 320006717964288 360007557709824 374642011275264 421472262684672 426675623952384 480010076946432 540011336564736 561963016912896 568900831936512 640013435928576 720015115419648 842944525369344 853351247904768 960020153892864 1080022673129472 1123926033825792 1280026871857152 1440030230839296 1685889050738688 1706702495809536 1920040307785728 2160045346258944 2560053743714304 2880060461678592 3371778101477376 3840080615571456 4320090692517888 5120107487428608 5760120923357184 7680161231142912 8640181385035776 11520241846714368 15360322462285824 17280362770071552 23040483693428736 34560725540143104 46080967386857472 69121451080286208 138242902160572416
• Sum of all divisors σ(n): 424902542859578455
• Sum of proper divisors (its aliquot sum) s(n): 286659640699006039
• 138242902160572416 is an abundant number, because the sum of its proper divisors (286659640699006039) is greater than itself. Its abundance is 148416738538433623

Bases of 138242902160572416

• Binary: 111101011001000110010111111100100000000000000000000000000₂
• Hexadecimal: 0x1EB232FE4000000
• Base-36: 11T70OIKG000

Squares and roots of 138242902160572416

• 138242902160572416 squared (138242902160572416²) is 19111099997777597563765964780077056
• 138242902160572416 cubed (138242902160572416³) is 2641973927173684136863880491517259028364393548087296
• 138242902160572416 is a perfect square number. Its square root is 371810304
• The cube root of 138242902160572416 is 517067.9439361587

Scales and comparisons

• 138,242,902,160,572,416 seconds is equal to 4,395,696,675 years, 17 weeks, 2 days, 10 hours, 33 minutes, 36 seconds.
• To count from 1 to 138,242,902,160,572,416 would take you about thirteen billion, one hundred eighty-seven million, ninety thousand and twenty-six 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 138242902160572416 cubic inches would be around 43089 feet tall.

Recreational maths with 138242902160572416

• 138242902160572416 backwards is 614275061209242831
• The number of decimal digits it has is: 18
• The sum of 138242902160572416's digits is 63
• More coming soon!