137330013115743552
137,330,013,115,743,552 is an even composite number composed of four prime numbers multiplied together.
What does the number 137330013115743552 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1064 divisors.
137330013115743552 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand and sixty-four divisors.
Prime factorization of 137330013115743552:
26 × 318 × 133 × 2521
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 13 × 2521)See below for interesting mathematical facts about the number 137330013115743552 from the Numbermatics database.
Names of 137330013115743552
- Cardinal: 137330013115743552 can be written as One hundred thirty-seven quadrillion, three hundred thirty trillion, thirteen billion, one hundred fifteen million, seven hundred forty-three thousand, five hundred fifty-two.
Scientific notation
- Scientific notation: 1.37330013115743552 × 1017
Factors of 137330013115743552
Divisors of 137330013115743552
- Number of divisors d(n): 1064
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 169 192 208 216 234 243 288 312 324 338 351 416 432 468 486 507 576 624 648 676 702 729 832 864 936 972 1014 1053 1248 1296 1352 1404 1458 1521 1728 1872 1944 2028 2106 2187 2197 2496 2521 2592 2704 2808 2916 3042 3159 3744 3888 4056 4212 4374 4394 4563 5042 5184 5408 5616 5832 6084 6318 6561 6591 7488 7563 7776 8112 8424 8748 8788 9126 9477 10084 10816 11232 11664 12168 12636 13122 13182 13689 15126 15552 16224 16848 17496 17576 18252 18954 19683 19773 20168 22464 22689 23328 24336 25272 26244 26364 27378 28431 30252 32448 32773 33696 34992 35152 36504 37908 39366 39546 40336 41067 45378 46656 48672 50544 52488 52728 54756 56862 59049 59319 60504 65546 67392 68067 69984 70304 73008 75816 78732 79092 80672 82134 85293 90756 97344 98319 101088 104976 105456 109512 113724 118098 118638 121008 123201 131092 136134 139968 140608 146016 151632 157464 158184 161344 164268 170586 177147 177957 181512 196638 202176 204201 209952 210912 219024 227448 236196 237276 242016 246402 255879 262184 272268 292032 294957 303264 314928 316368 328536 341172 354294 355914 363024 369603 393276 408402 419904 421824 426049 438048 454896 472392 474552 484032 492804 511758 524368 531441 533871 544536 589914 606528 612603 629856 632736 657072 682344 708588 711828 726048 739206 767637 786552 816804 852098 876096 884871 909792 944784 949104 985608 1023516 1048736 1062882 1067742 1089072 1108809 1179828 1225206 1259712 1265472 1278147 1314144 1364688 1417176 1423656 1452096 1478412 1535274 1573104 1594323 1601613 1633608 1704196 1769742 1819584 1837809 1889568 1898208 1971216 2047032 2097472 2125764 2135484 2178144 2217618 2302911 2359656 2450412 2556294 2628288 2654613 2729376 2834352 2847312 2956824 3070548 3146208 3188646 3203226 3267216 3326427 3408392 3539484 3675618 3779136 3796416 3834441 3942432 4094064 4251528 4270968 4356288 4435236 4605822 4719312 4782969 4804839 4900824 5112588 5309226 5458752 5513427 5538637 5668704 5694624 5913648 6141096 6292416 6377292 6406452 6534432 6652854 6816784 6908733 7078968 7351236 7668882 7884864 7963839 8188128 8503056 8541936 8870472 9211644 9438624 9565938 9609678 9801648 9979281 10225176 10618452 11026854 11077274 11337408 11389248 11503323 11827296 12282192 12754584 12812904 13068864 13305708 13633568 13817466 14157936 14348907 14414517 14702472 15337764 15927678 16376256 16540281 16615911 17006112 17083872 17740944 18423288 18877248 19131876 19219356 19603296 19958562 20450352 20726199 21236904 22053708 22154548 23006646 23654592 23891517 24564384 25509168 25625808 26611416 27267136 27634932 28315872 28697814 28829034 29404944 29937843 30675528 31855356 33080562 33231822 34012224 34167744 34509969 35481888 36846576 38263752 38438712 39206592 39917124 40900704 41452398 42473808 43046721 43243551 44107416 44309096 46013292 47783034 49128768 49620843 49847733 51018336 51251616 53222832 55269864 56631744 57395628 57658068 58809888 59875686 61351056 62178597 63710712 66161124 66463644 69019938 70963776 71674551 73693152 76527504 76877424 79834248 81801408 82904796 84947616 86093442 86487102 88214832 88618192 89813529 92026584 95566068 99241686 99695466 102036672 102503232 103529907 106445664 110539728 114791256 115316136 117619776 119751372 122702112 124357194 127421424 129140163 129730653 132322248 132927288 138039876 143349102 147386304 148862529 149543199 153055008 153754848 159668496 165809592 169895232 172186884 172974204 176429664 177236384 179627058 184053168 186535791 191132136 198483372 199390932 207059814 212891328 215023653 221079456 229582512 230632272 239502744 245404224 248714388 254842848 258280326 259461306 264644496 265854576 269440587 276079752 286698204 297725058 299086398 306110016 307509696 310589721 319336992 331619184 344373768 345948408 352859328 354472768 359254116 368106336 373071582 382264272 387420489 389191959 396966744 398781864 414119628 430047306 442158912 446587587 448629597 459165024 461264544 479005488 497428776 509685696 516560652 518922612 529288992 531709152 538881174 552159504 559607373 573396408 595450116 598172796 621179442 638673984 645070959 663238368 688747536 691896816 718508232 736212672 746143164 764528544 774840978 778383918 793933488 797563728 808321761 828239256 860094612 893175174 897259194 918330048 922529088 931769163 958010976 994857552 1033121304 1037845224 1058577984 1063418304 1077762348 1104319008 1119214746 1146792816 1167575877 1190900232 1196345592 1242358884 1290141918 1326476736 1339762761 1345888791 1377495072 1383793632 1437016464 1492286328 1529057088 1549681956 1556767836 1587866976 1595127456 1616643522 1656478512 1678822119 1720189224 1786350348 1794518388 1863538326 1916021952 1935212877 1989715104 2066242608 2075690448 2155524696 2208638016 2238429492 2293585632 2335151754 2381800464 2392691184 2424965283 2484717768 2580283836 2679525522 2691777582 2754990144 2767587264 2795307489 2874032928 2984572656 3099363912 3113535672 3175733952 3190254912 3233287044 3312957024 3357644238 3440378448 3502727631 3572700696 3589036776 3727076652 3870425754 3979430208 4019288283 4037666373 4132485216 4151380896 4311049392 4476858984 4587171264 4670303508 4763600928 4785382368 4849930566 4969435536 5036466357 5160567672 5359051044 5383555164 5590614978 5748065856 5805638631 5969145312 6198727824 6227071344 6466574088 6625914048 6715288476 6880756896 7005455262 7145401392 7178073552 7274895849 7454153304 7740851508 8038576566 8075332746 8264970432 8302761792 8385922467 8622098784 8953717968 9340607016 9527201856 9570764736 9699861132 9938871072 10072932714 10321135344 10508182893 10718102088 10767110328 11181229956 11611277262 11938290624 12057864849 12112999119 12397455648 12454142688 12933148176 13430576952 13761513792 14010910524 14290802784 14356147104 14549791698 14908306608 15481703016 16077153132 16150665492 16771844934 17244197568 17416915893 17907435936 18681214032 19399722264 19877742144 20145865428 20642270688 21016365786 21436204176 21534220656 21824687547 22362459912 23222554524 24115729698 24225998238 24794911296 24908285376 25157767401 25866296352 26861153904 28021821048 28581605568 28712294208 29099583396 29816613216 30963406032 31524548679 32154306264 32301330984 33543689868 34833831786 35814871872 36173594547 36338997357 37362428064 38799444528 40291730856 41284541376 42032731572 42872408352 43068441312 43649375094 44724919824 46445109048 48231459396 48451996476 50315534802 51732592704 52250747679 53722307808 56043642096 58199166792 59633226432 61926812064 63049097358 64308612528 64602661968 65474062641 67087379736 69667663572 72347189094 72677994714 74724856128 75473302203 77598889056 80583461712 84065463144 85744816704 86136882624 87298750188 89449839648 92890218096 94573646037 96462918792 96903992952 100631069604 104501495358 107444615616 108520783641 109016992071 112087284192 116398333584 123853624128 126098194716 128617225056 129205323936 130948125282 134174759472 139335327144 144694378188 145355989428 150946604406 155197778112 156752243037 161166923424 168130926288 174597500376 178899679296 185780436192 189147292074 192925837584 193807985904 201262139208 209002990716 217041567282 218033984142 224174568384 226419906609 232796667168 252196389432 257234450112 258410647872 261896250564 268349518944 278670654288 283720938111 289388756376 290711978856 301893208812 313504486074 322333846848 325562350923 327050976213 336261852576 349195000752 371560872384 378294584148 385851675168 387615971808 402524278416 418005981432 434083134564 436067968284 452839813218 465593334336 470256729111 504392778864 523792501128 536699037888 557341308576 567441876222 578777512752 581423957712 603786417624 627008972148 651124701846 654101952426 672523705152 679259719827 698390001504 756589168296 771703350336 775231943616 805048556832 836011962864 851162814333 868166269128 872135936568 905679626436 940513458222 976687052769 981152928639 1008785557728 1047585002256 1114682617152 1134883752444 1157555025504 1162847915424 1207572835248 1254017944296 1302249403692 1308203904852 1358519439654 1396780003008 1410770187333 1513178336592 1610097113664 1672023925728 1702325628666 1736332538256 1744271873136 1811359252872 1881026916444 1953374105538 1962305857278 2017571115456 2037779159481 2095170004512 2269767504888 2315110051008 2325695830848 2415145670496 2508035888592 2604498807384 2616407809704 2717038879308 2821540374666 2943458785917 3026356673184 3344047851456 3404651257332 3472665076512 3488543746272 3622718505744 3762053832888 3906748211076 3924611714556 4075558318962 4190340009024 4232310561999 4539535009776 4830291340992 5016071777184 5208997614768 5232815619408 5434077758616 5643080749332 5886917571834 6052713346368 6113337478443 6809302514664 6945330153024 6977087492544 7245437011488 7524107665776 7813496422152 7849223429112 8151116637924 8464621123998 8830376357751 9079070019552 10032143554368 10417995229536 10465631238816 10868155517232 11286161498664 11773835143668 12226674956886 12696931685997 13618605029328 14490874022976 15048215331552 15626992844304 15698446858224 16302233275848 16929242247996 17660752715502 18158140039104 18340012435329 20835990459072 20931262477632 21736311034464 22572322997328 23547670287336 24453349913772 25393863371994 26491129073253 27237210058656 30096430663104 31253985688608 31396893716448 32604466551696 33858484495992 35321505431004 36680024870658 43472622068928 45144645994656 47095340574672 48906699827544 50787726743988 52982258146506 54474420117312 55020037305987 62507971377216 62793787432896 65208933103392 67716968991984 70643010862008 73360049741316 79473387219759 90289291989312 94190681149344 97813399655088 101575453487976 105964516293012 110040074611974 130417866206784 135433937983968 141286021724016 146720099482632 158946774439518 165060111917961 188381362298688 195626799310176 203150906975952 211929032586024 220080149223948 238420161659277 270867875967936 282572043448032 293440198965264 317893548879036 330120223835922 391253598620352 406301813951904 423858065172048 440160298447896 476840323318554 565144086896064 586880397930528 635787097758072 660240447671844 715260484977831 812603627903808 847716130344096 880320596895792 953680646637108 1173760795861056 1271574195516144 1320480895343688 1430520969955662 1695432260688192 1760641193791584 1907361293274216 2145781454933493 2543148391032288 2640961790687376 2861041939911324 3521282387583168 3814722586548432 4291562909866986 5086296782064576 5281923581374752 5722083879822648 7629445173096864 8583125819733972 10563847162749504 11444167759645296 15258890346193728 17166251639467944 22888335519290592 34332503278935888 45776671038581184 68665006557871776 137330013115743552
- Sum of all divisors σ(n): 442995795049294760
- Sum of proper divisors (its aliquot sum) s(n): 305665781933551208
- 137330013115743552 is an abundant number, because the sum of its proper divisors (305665781933551208) is greater than itself. Its abundance is 168335768817807656
Bases of 137330013115743552
- Binary: 1111001111110010011101011010110001100001101111101010000002
- Hexadecimal: 0x1E7E4EB58C37D40
- Base-36: 11K7FD2T9000
Squares and roots of 137330013115743552
- 137330013115743552 squared (1373300131157435522) is 18859532502370296015048921829576704
- 137330013115743552 cubed (1373300131157435523) is 2589979845907304563444303110564960211142698377412608
-
The
square root of 137330013115743552 is 370580643.2016431589 -
The
cube root of 137330013115743552 is 515927.2741630647
Scales and comparisons
How big is 137330013115743552?- 137,330,013,115,743,552 seconds is equal to 4,366,669,627 years, 23 weeks, 6 days, 4 hours, 19 minutes, 12 seconds.
-
To count from 1 to 137,330,013,115,743,552 would take you about thirteen billion, one hundred million, eight thousand, eight hundred eighty-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 137330013115743552 cubic inches would be around 42993.9 feet tall.
Recreational maths with 137330013115743552
- 137330013115743552 backwards is 255347511310033731
- 137330013115743552 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137330013115743552's digits is 54
- More coming soon!
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"Number 137330013115743552 - Facts about the integer". Numbermatics.com. 2024. Web. 17 May 2024.
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Numbermatics. (2024). Number 137330013115743552 - Facts about the integer. Retrieved 17 May 2024, from https://numbermatics.com/n/137330013115743552/
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The information we have on file for 137330013115743552 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 137330013115743552, math, Factors of 137330013115743552, curriculum, school, college, exams, university, Prime factorization of 137330013115743552, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, three hundred thirty trillion, thirteen billion, one hundred fifteen million, seven hundred forty-three thousand, five hundred fifty-two.