100945507148365824

Names of 100945507148365824

• Cardinal: 100945507148365824 can be written as One hundred quadrillion, nine hundred forty-five trillion, five hundred seven billion, one hundred forty-eight million, three hundred sixty-five thousand, eight hundred twenty-four.

Scientific notation

• Scientific notation: 1.00945507148365824 × 10¹⁷

Factors of 100945507148365824

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 30
• Sum of prime factors: 275

Divisors of 100945507148365824

• Number of divisors d(n): 1104
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 84 96 98 108 112 126 128 144 147 168 189 192 196 216 224 252 256 263 288 294 336 378 384 392 432 441 448 504 512 526 576 588 672 756 768 784 789 864 882 896 1008 1024 1052 1152 1176 1323 1344 1512 1536 1568 1578 1728 1764 1792 1841 2016 2048 2104 2304 2352 2367 2646 2688 3024 3072 3136 3156 3456 3528 3584 3682 4032 4096 4208 4608 4704 4734 5292 5376 5523 6048 6144 6272 6312 6912 7056 7101 7168 7364 8064 8192 8416 9216 9408 9468 10584 10752 11046 12096 12288 12544 12624 12887 13824 14112 14202 14336 14728 16128 16384 16569 16832 18432 18816 18936 21168 21504 22092 24192 24576 25088 25248 25774 27648 28224 28404 28672 29456 32256 32768 33138 33664 36864 37632 37872 38661 42336 43008 44184 48384 49152 49707 50176 50496 51548 55296 56448 56808 57344 58912 64512 65536 66276 67328 69169 73728 75264 75744 77322 84672 86016 88368 96768 98304 99414 100352 100992 103096 110592 112896 113616 114688 115983 117824 129024 131072 132552 134656 138338 147456 150528 151488 154644 169344 172032 176736 193536 196608 198828 200704 201984 206192 207507 221184 225792 227232 229376 231966 235648 258048 262144 265104 269312 276676 294912 301056 302976 309288 338688 344064 347949 353472 387072 393216 397656 401408 403968 412384 415014 442368 451584 454464 458752 463932 471296 484183 516096 524288 530208 538624 553352 589824 602112 605952 618576 622521 677376 688128 695898 706944 774144 786432 795312 802816 807936 824768 830028 884736 903168 908928 917504 927864 942592 968366 1032192 1048576 1060416 1077248 1106704 1179648 1204224 1211904 1237152 1245042 1354752 1376256 1391796 1413888 1452549 1548288 1572864 1590624 1605632 1615872 1649536 1660056 1769472 1806336 1817856 1835008 1855728 1867563 1885184 1936732 2064384 2097152 2120832 2154496 2213408 2359296 2408448 2423808 2474304 2490084 2709504 2752512 2783592 2827776 2905098 3096576 3145728 3181248 3211264 3231744 3299072 3320112 3389281 3538944 3612672 3635712 3670016 3711456 3735126 3770368 3873464 4128768 4194304 4241664 4308992 4357647 4426816 4718592 4816896 4847616 4948608 4980168 5419008 5505024 5567184 5655552 5810196 6193152 6291456 6362496 6422528 6463488 6598144 6640224 6778562 7077888 7225344 7271424 7340032 7422912 7470252 7540736 7746928 8257536 8483328 8617984 8715294 8853632 9437184 9633792 9695232 9897216 9960336 10167843 10838016 11010048 11134368 11311104 11620392 12386304 12582912 12724992 12845056 12926976 13072941 13196288 13280448 13557124 14155776 14450688 14542848 14680064 14845824 14940504 15081472 15493856 16515072 16966656 17235968 17430588 17707264 18191447 18874368 19267584 19390464 19794432 19920672 20335686 21676032 22020096 22268736 22622208 23240784 24772608 25449984 25690112 25853952 26145882 26392576 26560896 27114248 28311552 28901376 29085696 29360128 29691648 29881008 30162944 30503529 30987712 33030144 33933312 34471936 34861176 35414528 36382894 37748736 38535168 38780928 39588864 39841344 40671372 43352064 44040192 44537472 45244416 46481568 49545216 50899968 51380224 51707904 52291764 52785152 53121792 54228496 54574341 56623104 57802752 58171392 59383296 59762016 60325888 61007058 61975424 66060288 67866624 68943872 69722352 70829056 72765788 77070336 77561856 79177728 79682688 81342744 86704128 88080384 89074944 90488832 91510587 92963136 99090432 101799936 102760448 103415808 104583528 105570304 106243584 108456992 109148682 113246208 115605504 116342784 118766592 119524032 120651776 122014116 123950848 127340129 132120576 135733248 137887744 139444704 141658112 145531576 154140672 155123712 158355456 159365376 162685488 163723023 173408256 178149888 180977664 183021174 185926272 198180864 203599872 205520896 206831616 209167056 211140608 212487168 216913984 218297364 231211008 232685568 237533184 239048064 241303552 244028232 247901696 254680258 264241152 271466496 275775488 278889408 283316224 291063152 308281344 310247424 316710912 318730752 325370976 327446046 346816512 356299776 361955328 366042348 371852544 382020387 396361728 407199744 413663232 418334112 422281216 424974336 433827968 436594728 462422016 465371136 475066368 478096128 482607104 488056464 491169069 495803392 509360516 542932992 551550976 557778816 566632448 582126304 616562688 620494848 633421824 637461504 650741952 654892092 693633024 712599552 723910656 732084696 743705088 764040774 792723456 814399488 827326464 836668224 844562432 849948672 867655936 873189456 891380903 924844032 930742272 950132736 956192256 965214208 976112928 982338138 991606784 1018721032 1085865984 1103101952 1115557632 1133264896 1146061161 1164252608 1240989696 1266843648 1274923008 1301483904 1309784184 1387266048 1425199104 1447821312 1464169392 1487410176 1528081548 1628798976 1654652928 1673336448 1689124864 1699897344 1735311872 1746378912 1782761806 1849688064 1861484544 1900265472 1912384512 1930428416 1952225856 1964676276 1983213568 2037442064 2171731968 2231115264 2266529792 2292122322 2328505216 2481979392 2533687296 2549846016 2602967808 2619568368 2674142709 2774532096 2850398208 2895642624 2928338784 2974820352 3056163096 3257597952 3309305856 3346672896 3378249728 3399794688 3438183483 3470623744 3492757824 3565523612 3722969088 3800530944 3824769024 3860856832 3904451712 3929352552 3966427136 4074884128 4343463936 4462230528 4533059584 4584244644 4657010432 4963958784 5067374592 5099692032 5205935616 5239136736 5348285418 5549064192 5700796416 5791285248 5856677568 5949640704 6112326192 6515195904 6693345792 6756499456 6799589376 6876366966 6941247488 6985515648 7131047224 7445938176 7601061888 7649538048 7721713664 7808903424 7858705104 7932854272 8022428127 8149768256 8686927872 8924461056 9066119168 9168489288 9314020864 9927917568 10134749184 10199384064 10411871232 10478273472 10696570836 11401592832 11582570496 11713355136 11899281408 12224652384 13030391808 13386691584 13512998912 13599178752 13752733932 13882494976 13971031296 14262094448 14891876352 15202123776 15299076096 15617806848 15717410208 15865708544 16044856254 16299536512 17373855744 17848922112 18132238336 18336978576 18628041728 20269498368 20398768128 20823742464 20956546944 21393141672 22803185664 23165140992 23426710272 23798562816 24067284381 24449304768 26060783616 26773383168 27025997824 27198357504 27505467864 27764989952 27942062592 28524188896 29783752704 30404247552 30598152192 31235613696 31434820416 31731417088 32089712508 32599073024 34747711488 35697844224 36264476672 36673957152 37256083456 40538996736 40797536256 41647484928 41913093888 42786283344 45606371328 46853420544 47597125632 48134568762 48898609536 52121567232 53546766336 54051995648 54396715008 55010935728 55529979904 55884125184 57048377792 60808495104 61196304384 62471227392 62869640832 63462834176 64179425016 65198146048 69495422976 71395688448 72528953344 73347914304 74512166912 81077993472 81595072512 83294969856 83826187776 85572566688 91212742656 93706841088 95194251264 96269137524 97797219072 104243134464 107093532672 108793430016 110021871456 111059959808 111768250368 114096755584 121616990208 122392608768 124942454784 125739281664 126925668352 128358850032 130396292096 142791376896 145057906688 146695828608 149024333824 162155986944 163190145024 166589939712 167652375552 171145133376 182425485312 187413682176 190388502528 192538275048 195594438144 208486268928 214187065344 217586860032 220043742912 222119919616 223536500736 228193511168 243233980416 244785217536 249884909568 251478563328 253851336704 256717700064 260792584192 285582753792 290115813376 293391657216 298048667648 326380290048 333179879424 335304751104 342290266752 364850970624 374827364352 380777005056 385076550096 391188876288 428374130688 435173720064 440087485824 444239839232 447073001472 456387022336 486467960832 489570435072 499769819136 502957126656 507702673408 513435400128 521585168384 571165507584 586783314432 596097335296 652760580096 666359758848 670609502208 684580533504 729701941248 749654728704 761554010112 770153100192 782377752576 856748261376 870347440128 880174971648 888479678464 894146002944 912774044672 979140870144 999539638272 1005914253312 1015405346816 1026870800256 1043170336768 1142331015168 1173566628864 1192194670592 1305521160192 1332719517696 1341219004416 1369161067008 1459403882496 1499309457408 1523108020224 1540306200384 1564755505152 1713496522752 1760349943296 1776959356928 1788292005888 1825548089344 1958281740288 1999079276544 2011828506624 2030810693632 2053741600512 2086340673536 2284662030336 2347133257728 2384389341184 2611042320384 2665439035392 2682438008832 2738322134016 2998618914816 3046216040448 3080612400768 3129511010304 3426993045504 3520699886592 3553918713856 3576584011776 3651096178688 3916563480576 3998158553088 4023657013248 4107483201024 4172681347072 4569324060672 4694266515456 4768778682368 5330878070784 5364876017664 5476644268032 5997237829632 6092432080896 6161224801536 6259022020608 6853986091008 7041399773184 7107837427712 7153168023552 7302192357376 7833126961152 7996317106176 8047314026496 8214966402048 8345362694144 9138648121344 9388533030912 9537557364736 10661756141568 10729752035328 10953288536064 11994475659264 12322449603072 12518044041216 13707972182016 14082799546368 14215674855424 14306336047104 14604384714752 15992634212352 16094628052992 16429932804096 16690725388288 18277296242688 18777066061824 19075114729472 21323512283136 21459504070656 21906577072128 23988951318528 24644899206144 25036088082432 27415944364032 28165599092736 28612672094208 29208769429504 31985268424704 32189256105984 32859865608192 33381450776576 37554132123648 38150229458944 42647024566272 42919008141312 43813154144256 47977902637056 49289798412288 50072176164864 54831888728064 56331198185472 57225344188416 58417538859008 63970536849408 64378512211968 65719731216384 66762901553152 75108264247296 76300458917888 85838016282624 87626308288512 95955805274112 98579596824576 100144352329728 112662396370944 114450688376832 116835077718016 127941073698816 128757024423936 131439462432768 133525803106304 150216528494592 171676032565248 175252616577024 191911610548224 197159193649152 200288704659456 225324792741888 228901376753664 233670155436032 257514048847872 262878924865536 267051606212608 300433056989184 343352065130496 350505233154048 383823221096448 394318387298304 400577409318912 450649585483776 467340310872064 515028097695744 525757849731072 534103212425216 600866113978368 686704130260992 701010466308096 788636774596608 801154818637824 901299170967552 934680621744128 1030056195391488 1051515699462144 1201732227956736 1402020932616192 1577273549193216 1602309637275648 1802598341935104 1869361243488256 2060112390782976 2103031398924288 2403464455913472 2804041865232384 3154547098386432 3605196683870208 3738722486976512 4206062797848576 4806928911826944 5608083730464768 6309094196772864 7210393367740416 8412125595697152 11216167460929536 12618188393545728 14420786735480832 16824251191394304 25236376787091456 33648502382788608 50472753574182912 100945507148365824
• Sum of all divisors σ(n): 349258028410684800
• Sum of proper divisors (its aliquot sum) s(n): 248312521262318976
• 100945507148365824 is an abundant number, because the sum of its proper divisors (248312521262318976) is greater than itself. Its abundance is 147367014113953152

Bases of 100945507148365824

• Binary: 101100110101000010110011101100111010000000000000000000000₂
• Hexadecimal: 0x166A16767400000
• Base-36: RLY71SCDMO0

Squares and roots of 100945507148365824

• 100945507148365824 squared (100945507148365824²) is 10189995413440775672317953731198976
• 100945507148365824 cubed (100945507148365824³) is 1028634254849300780786763062421029545524042582196224
• The square root of 100945507148365824 is 317719226.9101223657
• The cube root of 100945507148365824 is 465617.1820075669

Scales and comparisons

• 100,945,507,148,365,824 seconds is equal to 3,209,754,882 years, 18 weeks, 6 days, 3 hours, 50 minutes, 24 seconds.
• To count from 1 to 100,945,507,148,365,824 would take you about nine billion, six hundred twenty-nine million, two hundred sixty-four thousand, six hundred forty-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 100945507148365824 cubic inches would be around 38801.4 feet tall.

Recreational maths with 100945507148365824

• 100945507148365824 backwards is 428563841705549001
• 100945507148365824 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 100945507148365824's digits is 72
• More coming soon!