135972937393677490688
135,972,937,393,677,490,688 is an even composite number composed of seven prime numbers multiplied together.
135972937393677490688 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 135972937393677490688:
29 × 17 × 37 × 137 × 739 × 1163 × 3585809
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 17 × 37 × 137 × 739 × 1163 × 3585809)See below for interesting mathematical facts about the number 135972937393677490688 from the Numbermatics database.
Names of 135972937393677490688
- Cardinal: 135972937393677490688 can be written as One hundred thirty-five quintillion, nine hundred seventy-two quadrillion, nine hundred thirty-seven trillion, three hundred ninety-three billion, six hundred seventy-seven million, four hundred ninety thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 1.35972937393677490688 × 1020
Factors of 135972937393677490688
Divisors of 135972937393677490688
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 4 8 16 17 32 34 37 64 68 74 128 136 137 148 256 272 274 296 512 544 548 592 629 739 1088 1096 1163 1184 1258 1478 2176 2192 2326 2329 2368 2516 2956 4352 4384 4652 4658 4736 5032 5069 5912 8704 8768 9304 9316 9472 10064 10138 11824 12563 17536 18608 18632 18944 19771 20128 20276 23648 25126 27343 35072 37216 37264 39542 40256 40552 43031 47296 50252 54686 70144 74432 74528 79084 80512 81104 86062 86173 94592 100504 101243 109372 148864 149056 158168 159331 161024 162208 172124 172346 189184 201008 202486 218744 297728 298112 316336 318662 322048 324416 344248 344692 378368 402016 404972 437488 464831 595456 596224 632672 637324 648832 688496 689384 731527 804032 809944 859457 874976 929662 1192448 1265344 1274648 1297664 1376992 1378768 1463054 1608064 1619888 1718914 1721131 1749952 1859324 2530688 2549296 2595328 2708627 2753984 2757536 2926108 3216128 3239776 3437828 3442262 3499904 3585809 3718648 3745991 5061376 5098592 5417254 5507968 5515072 5852216 5895247 6432256 6479552 6875656 6884524 6999808 7171618 7437296 7491982 10122752 10197184 10834508 11015936 11030144 11704432 11790494 12959104 13751312 13769048 13999616 14343236 14610769 14874592 14983964 20394368 21669016 22031872 22060288 23408864 23580988 25918208 27502624 27538096 28686472 29221538 29749184 29967928 31799909 40788736 43338032 44120576 46817728 47161976 51836416 55005248 55076192 57372944 58443076 59498368 59935856 60958753 63599818 63681847 81577472 86676064 93635456 94323952 100219199 110010496 110152384 114745888 116886152 117745609 118996736 119871712 121917506 127199636 127363694 132674933 173352128 187270912 188647904 200438398 220020992 220304768 229491776 233772304 235491218 237993472 239743424 243835012 254399272 254727388 265349866 346704256 374541824 377295808 400876796 440041984 440609536 458983552 467544608 470982436 479486848 487670024 491255833 508798544 509454776 530699732 540598453 693408512 754591616 801753592 881219072 917967104 935089216 941964872 958973696 975340048 982511666 1017597088 1018909552 1061399464 1081196906 1386817024 1509183232 1603507184 1835934208 1870178432 1883929744 1917947392 1950680096 1965023332 2001675353 2035194176 2037819104 2122798928 2162393812 2255473861 2649912851 3018366464 3207014368 3740356864 3767859488 3901360192 3930046664 4003350706 4070388352 4075638208 4170295867 4245597856 4324787624 4356587533 4510947722 5299825702 6414028736 7480713728 7535718976 7802720384 7860093328 8006701412 8140776704 8151276416 8340591734 8351349161 8491195712 8649575248 8713175066 9021895444 10599651404 12828057472 15071437952 15605440768 15720186656 16013402824 16281553408 16302552832 16681183468 16702698322 16982391424 17299150496 17426350132 18043790888 18176465821 21199302808 25656114944 30142875904 31210881536 31440373312 32026805648 32605105664 33362366936 33405396644 33964782848 34598300992 34852700264 36087581776 36352931642 42398605616 45048518467 51312229888 60285751808 62880746624 64053611296 66724733872 66810793288 67929565696 69196601984 69705400528 70895029739 72175163552 72705863284 74061988061 84797211232 90097036934 98046775487 125761493248 128107222592 133449467744 133621586576 138393203968 139410801056 141790059478 144350327104 145411726568 148123976122 154300947079 169594422464 180194073868 196093550974 251522986496 256214445184 266898935488 267243173152 276786407936 278821602112 283580118956 288700654208 290823453136 296247952244 308601894158 308999918957 339188844928 360388147736 363038060587 392187101948 512428890368 533797870976 534486346304 557643204224 567160237912 571330533779 577401308416 581646906272 592495904488 617203788316 617999837914 678377689856 720776295472 726076121174 784374203896 1024857780736 1067595741952 1068972692608 1115286408448 1134320475824 1142661067558 1154802616832 1163293812544 1184991808976 1234407576632 1235999675828 1356755379712 1441552590944 1452152242348 1568748407792 1666795183279 2135191483904 2137945385216 2230572816896 2268640951648 2285322135116 2326587625088 2369983617952 2468815153264 2471999351656 2623116100343 2883105181888 2904304484696 3081848645713 3137496815584 3333590366558 4275890770432 4537281903296 4570644270232 4653175250176 4739967235904 4937630306528 4943998703312 5246232200686 5766210363776 5808608969392 6163697291426 6171647029979 6274993631168 6667180733116 9074563806592 9141288540464 9306350500352 9479934471808 9712619074243 9875260613056 9887997406624 10492464401372 11532420727552 11617217938784 12327394582852 12343294059958 12549987262336 13334361466232 13432408241719 18149127613184 18282577080928 18959868943616 19425238148486 19750521226112 19775994813248 20984928802744 21139229749823 23064841455104 23234435877568 24654789165704 24686588119916 25099974524672 26668722932464 26864816483438 36298255226368 36565154161856 37919737887232 38850476296972 39501042452224 39551989626496 41969857605488 42278459499646 46468871755136 49309578331408 49373176239832 50199949049344 52391426977121 53337445864928 53729632966876 73130308323712 77700952593944 79002084904448 79103979252992 83939715210976 84556918999292 92937743510272 98619156662816 98746352479664 104782853954242 106674891729856 107459265933752 114028399891381 146260616647424 155401905187888 158207958505984 167879430421952 169113837998584 185875487020544 197238313325632 197492704959328 209565707908484 213349783459712 214918531867504 228056799782762 228350940109223 292521233294848 310803810375776 335758860843904 338227675997168 359366905746991 394476626651264 394985409918656 419131415816968 422213264462681 426699566919424 429837063735008 456113599565524 456701880218446 621607620751552 671517721687808 676455351994336 718733811493982 788953253302528 789970819837312 838262831633936 844426528925362 853399133838848 859674127470016 912227199131048 913403760436892 1243215241503104 1343035443375616 1352910703988672 1437467622987964 1577906506605056 1579941639674624 1676525663267872 1688853057850724 1719348254940032 1824454398262096 1826807520873784 1938482798153477 2486430483006208 2705821407977344 2874935245975928 3159883279349248 3353051326535744 3377706115701448 3438696509880064 3648908796524192 3653615041747568 3876965596306954 4972860966012416 5411642815954688 5749870491951856 6706102653071488 6755412231402896 6877393019760128 7177625495865577 7297817593048384 7307230083495136 7753931192613908 10823285631909376 11499740983903712 13412205306142976 13510824462805792 14355250991731154 14595635186096768 14614460166990272 15507862385227816 15621890785119197 22999481967807424 26824410612285952 27021648925611584 28710501983462308 29191270372193536 29228920333980544 31015724770455632 31243781570238394 45998963935614848 54043297851223168 57421003966924616 58382540744387072 58457840667961088 62031449540911264 62487563140476788 91997927871229696 108086595702446336 114842007933849232 116915681335922176 124062899081822528 124975126280953576 183995855742459392 216173191404892672 229684015867698464 248125798163645056 249950252561907152 265572143347026349 459368031735396928 496251596327290112 499900505123814304 531144286694052698 918736063470793856 992503192654580224 999801010247628608 1062288573388105396 1837472126941587712 1999602020495257216 2124577146776210792 3674944253883175424 3999204040990514432 4249154293552421584 7998408081981028864 8498308587104843168 16996617174209686336 33993234348419372672 67986468696838745344 135972937393677490688
- Sum of all divisors σ(n): 298251609441173625600
- Sum of proper divisors (its aliquot sum) s(n): 162278672047496134912
- 135972937393677490688 is an abundant number, because the sum of its proper divisors (162278672047496134912) is greater than itself. Its abundance is 26305734653818644224
Bases of 135972937393677490688
- Binary: 11101011111000000001110101000100100111000001001001101011010000000002
- Hexadecimal: 0x75F00EA24E0935A00
- Base-36: SP23ZK9ZGOB28
Squares and roots of 135972937393677490688
- 135972937393677490688 squared (1359729373936774906882) is 18488639703464938434256987986400326713344
- 135972937393677490688 cubed (1359729373936774906883) is 2513954648893498040124709451071267169187983261660640205340672
-
The
square root of 135972937393677490688 is 11660743432.2892762415 -
The
cube root of 135972937393677490688 is 5142222.0528971153
Scales and comparisons
How big is 135972937393677490688?- 135,972,937,393,677,490,688 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 135,972,937,393,677,490,688 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 135972937393677490688 cubic inches would be around 428518.5 feet tall.
Recreational maths with 135972937393677490688
- 135972937393677490688 backwards is 886094776393739279531
- The number of decimal digits it has is: 21
- The sum of 135972937393677490688's digits is 116
- More coming soon!
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The information we have on file for 135972937393677490688 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 135972937393677490688, math, Factors of 135972937393677490688, curriculum, school, college, exams, university, Prime factorization of 135972937393677490688, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five quintillion, nine hundred seventy-two quadrillion, nine hundred thirty-seven trillion, three hundred ninety-three billion, six hundred seventy-seven million, four hundred ninety thousand, six hundred eighty-eight.