1337152835140190208
1,337,152,835,140,190,208 is an even composite number composed of five prime numbers multiplied together.
What does the number 1337152835140190208 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1680 divisors.
1337152835140190208 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 1337152835140190208:
220 × 34 × 7 × 19 × 4913
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 19 × 491 × 491 × 491)See below for interesting mathematical facts about the number 1337152835140190208 from the Numbermatics database.
Names of 1337152835140190208
- Cardinal: 1337152835140190208 can be written as One quintillion, three hundred thirty-seven quadrillion, one hundred fifty-two trillion, eight hundred thirty-five billion, one hundred forty million, one hundred ninety thousand, two hundred eight.
Scientific notation
- Scientific notation: 1.337152835140190208 × 1018
Factors of 1337152835140190208
Divisors of 1337152835140190208
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 32 36 38 42 48 54 56 57 63 64 72 76 81 84 96 108 112 114 126 128 133 144 152 162 168 171 189 192 216 224 228 252 256 266 288 304 324 336 342 378 384 399 432 448 456 491 504 512 513 532 567 576 608 648 672 684 756 768 798 864 896 912 982 1008 1024 1026 1064 1134 1152 1197 1216 1296 1344 1368 1473 1512 1536 1539 1596 1728 1792 1824 1964 2016 2048 2052 2128 2268 2304 2394 2432 2592 2688 2736 2946 3024 3072 3078 3192 3437 3456 3584 3591 3648 3928 4032 4096 4104 4256 4419 4536 4608 4788 4864 5184 5376 5472 5892 6048 6144 6156 6384 6874 6912 7168 7182 7296 7856 8064 8192 8208 8512 8838 9072 9216 9329 9576 9728 10311 10368 10752 10773 10944 11784 12096 12288 12312 12768 13257 13748 13824 14336 14364 14592 15712 16128 16384 16416 17024 17676 18144 18432 18658 19152 19456 20622 20736 21504 21546 21888 23568 24192 24576 24624 25536 26514 27496 27648 27987 28672 28728 29184 30933 31424 32256 32768 32832 34048 35352 36288 36864 37316 38304 38912 39771 41244 41472 43008 43092 43776 47136 48384 49152 49248 51072 53028 54992 55296 55974 57344 57456 58368 61866 62848 64512 65303 65536 65664 68096 70704 72576 73728 74632 76608 77824 79542 82488 82944 83961 86016 86184 87552 92799 94272 96768 98304 98496 102144 106056 109984 110592 111948 114688 114912 116736 123732 125696 129024 130606 131072 131328 136192 141408 145152 147456 149264 153216 155648 159084 164976 165888 167922 172032 172368 175104 185598 188544 193536 195909 196608 196992 204288 212112 219968 221184 223896 229376 229824 233472 241081 247464 251392 251883 258048 261212 262144 262656 272384 278397 282816 290304 294912 298528 306432 311296 318168 329952 331776 335844 344064 344736 350208 371196 377088 387072 391818 393216 393984 408576 424224 439936 442368 447792 458752 459648 466944 482162 494928 502784 503766 516096 522424 524288 525312 544768 556794 565632 580608 587727 589824 597056 612864 622592 636336 659904 663552 671688 688128 689472 700416 723243 742392 754176 755649 774144 783636 786432 787968 817152 848448 879872 884736 895584 917504 919296 933888 964324 989856 1005568 1007532 1032192 1044848 1048576 1050624 1089536 1113588 1131264 1161216 1175454 1179648 1194112 1225728 1245184 1272672 1319808 1327104 1343376 1376256 1378944 1400832 1446486 1484784 1508352 1511298 1548288 1567272 1572864 1575936 1634304 1687567 1696896 1759744 1763181 1769472 1791168 1835008 1838592 1867776 1928648 1979712 2011136 2015064 2064384 2089696 2101248 2169729 2179072 2227176 2262528 2322432 2350908 2359296 2388224 2451456 2490368 2545344 2639616 2654208 2686752 2752512 2757888 2801664 2892972 2969568 3016704 3022596 3096576 3134544 3145728 3151872 3268608 3375134 3393792 3519488 3526362 3538944 3582336 3670016 3677184 3735552 3857296 3959424 4022272 4030128 4128768 4179392 4202496 4339458 4358144 4454352 4525056 4580539 4644864 4701816 4718592 4776448 4902912 4980736 5062701 5090688 5279232 5289543 5308416 5373504 5505024 5515776 5603328 5785944 5939136 6033408 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33619968 34715664 34865152 35634816 36200448 36644312 37158912 37614528 38211584 39055122 39223296 40501608 40725504 41224851 42233856 42316344 42467328 42988032 44126208 44826624 45564309 46287552 47513088 48267264 48361536 49545216 50152704 50429952 52073496 52297728 54002144 54300672 54966468 56311808 56421792 57317376 58834944 59768832 60752412 61716736 63350784 64127546 64356352 64482048 66060288 66870272 67239936 69431328 69730304 71269632 72400896 73288624 74317824 75229056 76423168 78110244 78446592 81003216 81451008 82449702 84467712 84632688 84934656 85976064 88252416 89653248 91128618 92575104 95026176 96191319 96534528 96723072 99090432 100305408 100859904 104146992 104595456 108004288 108601344 109932936 112623616 112843584 114634752 117669888 118370771 121504824 123433472 123674553 126701568 128255092 128712704 128964096 133740544 134479872 136692927 138862656 139460608 142539264 144801792 146577248 148635648 150458112 152846336 156220488 156893184 162006432 162902016 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1454540034048 1457380932552 1493051277312 1511358004128 1519712907264 1575998570496 1636357538304 1696963373056 1700277754644 1706344316928 1727266290432 1769542254592 1772998391808 1801141223424 1848829280256 1909083794688 1939386712064 1943174576736 1990735036416 2015144005504 2026283876352 2101331427328 2147719269024 2181810051072 2239576915968 2267037006192 2275125755904 2303021720576 2363997855744 2401521631232 2454536307456 2545445059584 2550416631966 2559516475392 2590899435648 2654313381888 2659497587712 2701711835136 2773243920384 2863625692032 2909080068096 2914761865104 2986102554624 3022716008256 3039425814528 3151997140992 3272715076608 3393926746112 3400555509288 3412688633856 3454532580864 3545996783616 3602282446848 3818167589376 3878773424128 3886349153472 3981470072832 4030288011008 4052567752704 4202662854656 4295438538048 4363620102144 4479153831936 4534074012384 4606043441152 4727995711488 4803043262464 4909072614912 5090890119168 5100833263932 5119032950784 5181798871296 5308626763776 5318995175424 5403423670272 5546487840768 5727251384064 5818160136192 5829523730208 5972205109248 6045432016512 6078851629056 6303994281984 6545430153216 6787853492224 6801111018576 6825377267712 6909065161728 7091993567232 7204564893696 7636335178752 7757546848256 7772698306944 7962940145664 8060576022016 8105135505408 8405325709312 8590877076096 8727240204288 8958307663872 9068148024768 9212086882304 9455991422976 9818145229824 10181780238336 10201666527864 10238065901568 10363597742592 10637990350848 10806847340544 11454502768128 11636320272384 11659047460416 11944410218496 12090864033024 12157703258112 12607988563968 13090860306432 13575706984448 13602222037152 13818130323456 14183987134464 14409129787392 15272670357504 15515093696512 15545396613888 15925880291328 16121152044032 16210271010816 16810651418624 17181754152192 17454480408576 17916615327744 18136296049536 18424173764608 18911982845952 19636290459648 20363560476672 20403333055728 20476131803136 20727195485184 21275980701696 21613694681088 22909005536256 23272640544768 23318094920832 23888820436992 24181728066048 24315406516224 25215977127936 26181720612864 27151413968896 27204444074304 27636260646912 28367974268928 30545340715008 31030187393024 31090793227776 32242304088064 32420542021632 33621302837248 34363508304384 34908960817152 35833230655488 36272592099072 36848347529216 37823965691904 39272580919296 40727120953344 40806666111456 41454390970368 42551961403392 43227389362176 45818011072512 46545281089536 46636189841664 47777640873984 48363456132096 48630813032448 50431954255872 52363441225728 54302827937792 54408888148608 55272521293824 56735948537856 61090681430016 62060374786048 62181586455552 64484608176128 64841084043264 68727016608768 69817921634304 71666461310976 72545184198144 73696695058432 75647931383808 78545161838592 81454241906688 81613332222912 82908781940736 85103922806784 91636022145024 93090562179072 93272379683328 96726912264192 97261626064896 100863908511744 104726882451456 108605655875584 108817776297216 110545042587648 113471897075712 122181362860032 124120749572096 124363172911104 128969216352256 129682168086528 137454033217536 139635843268608 143332922621952 145090368396288 147393390116864 151295862767616 157090323677184 162908483813376 163226664445824 165817563881472 170207845613568 183272044290048 186181124358144 186544759366656 193453824528384 194523252129792 209453764902912 217211311751168 217635552594432 221090085175296 226943794151424 244362725720064 248726345822208 257938432704512 274908066435072 279271686537216 290180736792576 294786780233728 302591725535232 314180647354368 325816967626752 326453328891648 331635127762944 340415691227136 366544088580096 372362248716288 373089518733312 386907649056768 389046504259584 418907529805824 434422623502336 435271105188864 442180170350592 453887588302848 488725451440128 497452691644416 515876865409024 549816132870144 558543373074432 580361473585152 589573560467456 628361294708736 651633935253504 652906657783296 663270255525888 680831382454272 733088177160192 746179037466624 773815298113536 837815059611648 868845247004672 870542210377728 884360340701184 907775176605696 977450902880256 994905383288832 1031753730818048 1099632265740288 1117086746148864 1160722947170304 1179147120934912 1256722589417472 1303267870507008 1305813315566592 1326540511051776 1361662764908544 1466176354320384 1492358074933248 1547630596227072 1675630119223296 1741084420755456 1768720681402368 1954901805760512 1989810766577664 2063507461636096 2199264531480576 2321445894340608 2358294241869824 2513445178834944 2606535741014016 2611626631133184 2653081022103552 2723325529817088 2932352708640768 2984716149866496 3095261192454144 3351260238446592 3482168841510912 3537441362804736 3909803611521024 3979621533155328 4127014923272192 4398529062961152 4642891788681216 5026890357669888 5223253262266368 5306162044207104 5864705417281536 5969432299732992 6190522384908288 6964337683021824 7074882725609472 7819607223042048 7959243066310656 8254029846544384 8797058125922304 9285783577362432 10053780715339776 10446506524532736 10612324088414208 11729410834563072 11938864599465984 12381044769816576 13928675366043648 15918486132621312 16508059693088768 17594116251844608 18571567154724864 20893013049065472 21224648176828416 23458821669126144 23877729198931968 24762089539633152 27857350732087296 31836972265242624 35188232503689216 37143134309449728 41786026098130944 47755458397863936 49524179079266304 55714701464174592 63673944530485248 70376465007378432 74286268618899456 83572052196261888 95510916795727872 111429402928349184 148572537237798912 167144104392523776 191021833591455744 222858805856698368 334288208785047552 445717611713396736 668576417570095104 1337152835140190208
- Sum of all divisors σ(n): 4815761199306435840
- Sum of proper divisors (its aliquot sum) s(n): 3478608364166245632
- 1337152835140190208 is an abundant number, because the sum of its proper divisors (3478608364166245632) is greater than itself. Its abundance is 2141455529026055424
Bases of 1337152835140190208
- Binary: 10010100011101000010101101011010001001111000000000000000000002
- Hexadecimal: 0x128E856B44F00000
- Base-36: A5Q54C8JCW00
Squares and roots of 1337152835140190208
- 1337152835140190208 squared (13371528351401902082) is 1787977704523448693152532654419083264
- 1337152835140190208 cubed (13371528351401902083) is 2390799456770978710322458939456934193108456841949478912
-
The
square root of 1337152835140190208 is 1156353248.4237635453 -
The
cube root of 1337152835140190208 is 1101692.3907651271
Scales and comparisons
How big is 1337152835140190208?- 1,337,152,835,140,190,208 seconds is equal to 42,517,324,072 years, 8 weeks, 6 days, 17 hours, 16 minutes, 48 seconds.
-
To count from 1 to 1,337,152,835,140,190,208 would take you about one hundred forty-eight billion, eight hundred ten million, six hundred thirty-four thousand, two hundred fifty-two 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 1337152835140190208 cubic inches would be around 91807.7 feet tall.
Recreational maths with 1337152835140190208
- 1337152835140190208 backwards is 8020910415382517331
- 1337152835140190208 is a
Harshad number . - The number of decimal digits it has is: 19
- The sum of 1337152835140190208's digits is 63
- More coming soon!
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MLA style:
"Number 1337152835140190208 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 1337152835140190208 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/1337152835140190208/
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Numbermatics. 2024. "Number 1337152835140190208 - Facts about the integer". https://numbermatics.com/n/1337152835140190208/
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