138679522085928960

Names of 138679522085928960

• Cardinal: 138679522085928960 can be written as One hundred thirty-eight quadrillion, six hundred seventy-nine trillion, five hundred twenty-two billion, eighty-five million, nine hundred twenty-eight thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 1.3867952208592896 × 10¹⁷

Factors of 138679522085928960

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 332

Divisors of 138679522085928960

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 83 90 96 120 128 144 160 166 180 192 239 240 249 256 288 320 332 360 384 415 478 480 498 512 576 640 664 717 720 747 768 830 956 960 996 1024 1152 1195 1245 1280 1328 1434 1440 1494 1536 1660 1912 1920 1992 2048 2151 2304 2390 2490 2560 2656 2868 2880 2988 3072 3320 3585 3735 3824 3840 3984 4096 4302 4608 4780 4980 5120 5312 5736 5760 5976 6144 6640 6889 7170 7470 7648 7680 7968 8192 8604 9216 9560 9960 10240 10624 10755 11472 11520 11952 12288 13280 13778 14340 14940 15296 15360 15936 16384 17208 18432 19120 19837 19920 20480 20667 21248 21510 22944 23040 23904 24576 26560 27556 28680 29880 30592 30720 31872 32768 34416 34445 36864 38240 39674 39840 40960 41334 42496 43020 45888 46080 47808 49152 53120 55112 57121 57360 59511 59760 61184 61440 62001 63744 68832 68890 73728 76480 79348 79680 81920 82668 84992 86040 91776 92160 95616 98304 99185 103335 106240 110224 114242 114720 119022 119520 122368 122880 124002 127488 137664 137780 147456 152960 158696 159360 163840 165336 169984 171363 172080 178533 183552 184320 191232 198370 206670 212480 220448 228484 229440 238044 239040 244736 245760 248004 254976 275328 275560 285605 294912 297555 305920 310005 317392 318720 330672 339968 342726 344160 357066 367104 368640 382464 396740 413340 424960 440896 456968 458880 476088 478080 489472 491520 496008 509952 514089 550656 551120 571210 595110 611840 620010 634784 637440 661344 679936 685452 688320 714132 734208 737280 764928 793480 826680 849920 856815 881792 892665 913936 917760 952176 956160 978944 992016 1019904 1028178 1101312 1102240 1142420 1190220 1223680 1240020 1269568 1274880 1322688 1359872 1370904 1376640 1428264 1468416 1474560 1529856 1586960 1646471 1653360 1699840 1713630 1763584 1785330 1827872 1835520 1904352 1912320 1957888 1984032 2039808 2056356 2202624 2204480 2284840 2380440 2447360 2480040 2539136 2549760 2570445 2645376 2719744 2741808 2753280 2856528 2936832 3059712 3173920 3292942 3306720 3399680 3427260 3527168 3570660 3655744 3671040 3808704 3824640 3915776 3968064 4079616 4112712 4405248 4408960 4569680 4741043 4760880 4894720 4939413 4960080 5078272 5099520 5140890 5290752 5483616 5506560 5713056 5873664 6119424 6347840 6585884 6613440 6799360 6854520 7054336 7141320 7311488 7342080 7617408 7649280 7831552 7936128 8159232 8225424 8232355 8810496 8817920 9139360 9482086 9521760 9789440 9878826 9920160 10156544 10199040 10281780 10581504 10967232 11013120 11426112 11747328 12238848 12695680 13171768 13226880 13598720 13651919 13709040 14108672 14223129 14282640 14622976 14684160 14818239 15234816 15298560 15872256 16450848 16464710 17620992 17635840 18278720 18964172 19043520 19578880 19757652 19840320 20313088 20398080 20563560 21163008 21934464 22026240 22852224 23494656 23705215 24477696 24697065 25391360 26343536 26453760 27303838 27418080 28217344 28446258 28565280 29245952 29368320 29636478 30469632 30597120 31744512 32901696 32929420 35241984 35271680 36557440 37928344 38087040 39157760 39515304 39680640 40626176 40796160 40955757 41127120 42326016 42669387 43868928 44052480 45704448 47410430 49394130 50782720 52687072 52907520 54607676 54836160 56434688 56892516 57130560 58491904 58736640 59272956 60939264 61194240 63489024 65803392 65858840 68259595 70483968 70543360 71115645 73114880 74091195 75856688 76174080 79030608 79361280 81252352 81911514 82254240 84652032 85338774 87737856 88104960 91408896 94820860 98788260 101565440 105374144 105815040 109215352 109672320 112869376 113785032 114261120 116983808 117473280 118545912 121878528 122388480 122867271 126978048 131606784 131717680 136519190 141086720 142231290 146229760 148182390 151713376 152348160 158061216 158722560 162504704 163823028 164508480 169304064 170677548 175475712 176209920 182817792 189641720 197576520 203130880 204778785 210748288 211630080 213346935 218430704 219344640 225738752 227570064 228522240 233967616 237091824 243757056 245734542 253956096 263213568 263435360 273038380 282173440 284462580 292459520 296364780 303426752 304696320 316122432 317445120 325009408 327646056 329016960 338608128 341355096 350951424 352419840 365635584 379283440 393506569 395153040 406261760 409557570 421496576 423260160 426693870 436861408 438689280 455140128 457044480 467935232 474183648 487514112 491469084 507912192 526427136 526870720 546076760 564346880 568925160 584919040 592729560 606853504 609392640 614336355 632244864 634890240 650018816 655292112 658033920 677216256 682710192 701902848 731271168 758566880 787013138 790306080 812523520 819115140 842993152 846520320 853387740 873722816 877378560 910280256 914088960 935870464 948367296 975028224 982938168 1015824384 1052854272 1053741440 1092153520 1128693760 1133109277 1137850320 1169838080 1180519707 1185459120 1213707008 1218785280 1228672710 1264489728 1269780480 1310584224 1316067840 1365420384 1403805696 1462542336 1517133760 1574026276 1580612160 1625047040 1638230280 1685986304 1693040640 1706775480 1747445632 1754757120 1820560512 1828177920 1871740928 1896734592 1950056448 1965876336 1967532845 2031648768 2105708544 2107482880 2184307040 2266218554 2275700640 2339676160 2361039414 2370918240 2427414016 2437570560 2457345420 2528979456 2539560960 2621168448 2632135680 2730840768 2807611392 2925084672 3034267520 3148052552 3161224320 3250094080 3276460560 3371972608 3386081280 3399327831 3413550960 3494891264 3509514240 3541559121 3641121024 3656355840 3793469184 3931752672 3935065690 4211417088 4214965760 4368614080 4532437108 4551401280 4679352320 4722078828 4741836480 4854828032 4875141120 4914690840 5057958912 5079121920 5242336896 5264271360 5461681536 5615222784 5665546385 5850169344 5902598535 6068535040 6296105104 6322448640 6552921120 6743945216 6798655662 6827101920 6989782528 7019028480 7083118242 7282242048 7312711680 7586938368 7863505344 7870131380 8422834176 8429931520 8737228160 9064874216 9102802560 9358704640 9444157656 9483672960 9709656064 9750282240 9829381680 10115917824 10158243840 10197983493 10484673792 10528542720 10923363072 11331092770 11805197070 12137070080 12592210208 12644897280 13105842240 13487890432 13597311324 13654203840 13979565056 14038056960 14166236484 14564484096 14625423360 15173876736 15727010688 15740262760 16845668352 16859863040 16996639155 17474456320 17707795605 18129748432 18205605120 18888315312 18967345920 19419312128 19658763360 20231835648 20395966986 20969347584 21057085440 21846726144 22662185540 23610394140 24274140160 25184420416 25289794560 26211684480 26975780864 27194622648 27308407680 27959130112 28076113920 28332472968 29128968192 29250846720 30347753472 31454021376 31480525520 33719726080 33993278310 34948912640 35415591210 36259496864 36411210240 37776630624 37934691840 38838624256 39317526720 40463671296 40791933972 41938695168 42114170880 43693452288 45324371080 47220788280 48548280320 50368840832 50579589120 50989917465 52423368960 53951561728 54389245296 54616815360 55918260224 56664945936 58257936384 60695506944 62908042752 62961051040 67439452160 67986556620 69897825280 70831182420 72518993728 72822420480 75553261248 75869383680 77677248512 78635053440 80927342592 81583867944 83877390336 84228341760 87386904576 90648742160 94048069991 94441576560 97096560640 100737681664 101159178240 101979834930 104846737920 108778490592 109233630720 111836520448 113329891872 116515872768 121391013888 125816085504 125922102080 134878904320 135973113240 139795650560 141662364840 145037987456 145644840960 151106522496 151738767360 155354497024 157270106880 161854685184 163167735888 167754780672 174773809152 181297484320 188096139982 188883153120 194193121280 201475363328 202318356480 203959669860 209693475840 217556981184 218467261440 223673040896 226659783744 233031745536 242782027776 251632171008 251844204160 269757808640 271946226480 279591301120 282144209973 283324729680 290075974912 291289681920 302213044992 303477534720 314540213760 326335471776 335509561344 349547618304 362594968640 376192279964 377766306240 388386242560 402950726656 404636712960 407919339720 419386951680 435113962368 436934522880 447346081792 453319567488 466063491072 470240349955 485564055552 503264342016 503688408320 543892452960 559182602240 564288419946 566649459360 580151949824 582579363840 604426089984 606955069440 629080427520 652670943552 671019122688 699095236608 725189937280 752384559928 755532612480 776772485120 805901453312 809273425920 815838679440 838773903360 846432629919 870227924736 873869045760 906639134976 940480699910 1006528684032 1007376816640 1087784905920 1118365204480 1128576839892 1133298918720 1160303899648 1165158727680 1208852179968 1213910138880 1258160855040 1305341887104 1342038245376 1398190473216 1410721049865 1450379874560 1504769119856 1511065224960 1611802906624 1631677358880 1677547806720 1692865259838 1740455849472 1747738091520 1813278269952 1880961399820 2013057368064 2014753633280 2175569811840 2236730408960 2257153679784 2266597837440 2320607799296 2330317455360 2417704359936 2427820277760 2516321710080 2610683774208 2821442099730 2900759749120 3009538239712 3022130449920 3223605813248 3263354717760 3355095613440 3385730519676 3480911698944 3495476183040 3626556539904 3761922799640 4026114736128 4029507266560 4232163149595 4351139623680 4514307359568 4533195674880 4641215598592 4835408719872 5032643420160 5221367548416 5642884199460 5801519498240 6019076479424 6044260899840 6447211626496 6526709435520 6710191226880 6771461039352 6961823397888 6990952366080 7253113079808 7523845599280 8059014533120 8464326299190 8702279247360 9028614719136 9066391349760 9282431197184 9670817439744 10065286840320 10442735096832 11285768398920 11603038996480 12038152958848 12088521799680 12894423252992 13053418871040 13542922078704 13923646795776 14506226159616 15047691198560 16118029066240 16928652598380 17404558494720 18057229438272 18132782699520 18564862394368 19341634879488 20130573680640 20885470193664 22571536797840 23206077992960 24076305917696 24177043599360 26106837742080 27085844157408 27847293591552 29012452319232 30095382397120 32236058132480 33857305196760 34809116989440 36114458876544 36265565399040 37129724788736 38683269758976 41770940387328 45143073595680 46412155985920 48152611835392 48354087198720 52213675484160 54171688314816 55694587183104 58024904638464 60190764794240 64472116264960 67714610393520 69618233978880 72228917753088 72531130798080 83541880774656 90286147191360 92824311971840 96305223670784 96708174397440 104427350968320 108343376629632 111389174366208 116049809276928 120381529588480 135429220787040 139236467957760 144457835506176 145062261596160 167083761549312 180572294382720 185648623943680 192610447341568 193416348794880 208854701936640 216686753259264 240763059176960 270858441574080 278472935915520 288915671012352 290124523192320 334167523098624 361144588765440 385220894683136 417709403873280 433373506518528 481526118353920 541716883148160 556945871831040 577831342024704 580249046384640 722289177530880 770441789366272 835418807746560 866747013037056 963052236707840 1083433766296320 1155662684049408 1444578355061760 1540883578732544 1670837615493120 1733494026074112 1926104473415680 2166867532592640 2311325368098816 2889156710123520 3081767157465088 3466988052148224 3852208946831360 4333735065185280 4622650736197632 5778313420247040 6933976104296448 7704417893662720 8667470130370560 9245301472395264 11556626840494080 13867952208592896 15408835787325440 17334940260741120 23113253680988160 27735904417185792 34669880521482240 46226507361976320 69339761042964480 138679522085928960
• Sum of all divisors σ(n): 488654855258731200
• Sum of proper divisors (its aliquot sum) s(n): 349975333172802240
• 138679522085928960 is an abundant number, because the sum of its proper divisors (349975333172802240) is greater than itself. Its abundance is 211295811086873280

Bases of 138679522085928960

• Binary: 111101100101100000100101001100011100011011000000000000000₂
• Hexadecimal: 0x1ECB04A638D8000
• Base-36: 11XHSCXUT4W0

Squares and roots of 138679522085928960

• 138679522085928960 squared (138679522085928960²) is 19232009845981658204898026166681600
• 138679522085928960 cubed (138679522085928960³) is 2667085934192616585397600396161250908750936539136000
• The square root of 138679522085928960 is 372396995.2697375887
• The cube root of 138679522085928960 is 517611.7329260001

Scales and comparisons

• 138,679,522,085,928,960 seconds is equal to 4,409,579,838 years, 21 weeks, 17 hours, 36 minutes.
• To count from 1 to 138,679,522,085,928,960 would take you about thirteen billion, two hundred twenty-eight million, seven hundred thirty-nine thousand, five hundred fifteen 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 138679522085928960 cubic inches would be around 43134.3 feet tall.

Recreational maths with 138679522085928960

• 138679522085928960 backwards is 069829580225976831
• 138679522085928960 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138679522085928960's digits is 90
• More coming soon!