137342207213568
137,342,207,213,568 is an even composite number composed of six prime numbers multiplied together.
137342207213568 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 137342207213568:
214 × 32 × 72 × 173 × 53 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 17 × 17 × 17 × 53 × 73)See below for interesting mathematical facts about the number 137342207213568 from the Numbermatics database.
Names of 137342207213568
- Cardinal: 137342207213568 can be written as One hundred thirty-seven trillion, three hundred forty-two billion, two hundred seven million, two hundred thirteen thousand, five hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37342207213568 × 1014
Factors of 137342207213568
Divisors of 137342207213568
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 49 51 53 56 63 64 68 72 73 84 96 98 102 106 112 119 126 128 136 144 146 147 153 159 168 192 196 204 212 219 224 238 252 256 272 288 289 292 294 306 318 336 357 371 384 392 408 424 438 441 448 476 477 504 511 512 544 576 578 584 588 612 636 657 672 714 742 768 784 816 833 848 867 876 882 896 901 952 954 1008 1022 1024 1071 1088 1113 1152 1156 1168 1176 1224 1241 1272 1314 1344 1428 1484 1533 1536 1568 1632 1666 1696 1734 1752 1764 1792 1802 1904 1908 2016 2023 2044 2048 2142 2176 2226 2304 2312 2336 2352 2448 2482 2499 2544 2597 2601 2628 2688 2703 2856 2968 3066 3072 3136 3264 3332 3339 3392 3468 3504 3528 3577 3584 3604 3723 3808 3816 3869 4032 4046 4088 4096 4284 4352 4452 4599 4608 4624 4672 4704 4896 4913 4964 4998 5088 5194 5202 5256 5376 5406 5712 5936 6069 6132 6144 6272 6307 6528 6664 6678 6784 6936 7008 7056 7154 7168 7208 7446 7497 7616 7632 7738 7791 8064 8092 8109 8176 8192 8568 8687 8704 8904 9198 9216 9248 9344 9408 9792 9826 9928 9996 10176 10388 10404 10512 10731 10752 10812 11169 11424 11607 11872 12138 12264 12288 12544 12614 13056 13328 13356 13568 13872 14016 14112 14161 14308 14336 14416 14739 14892 14994 15232 15264 15317 15476 15582 16128 16184 16218 16352 16384 17136 17374 17408 17808 18207 18396 18432 18496 18688 18816 18921 19584 19652 19856 19992 20352 20776 20808 21024 21097 21462 21504 21624 22338 22848 23214 23373 23744 24276 24528 24576 25088 25228 26061 26112 26656 26712 27083 27136 27744 28032 28224 28322 28616 28672 28832 29478 29784 29988 30464 30528 30634 30952 31164 32193 32256 32368 32436 32704 34272 34391 34748 34816 34821 35616 36414 36792 36864 36992 37376 37632 37842 39168 39304 39712 39984 40704 41552 41616 42048 42194 42483 42924 43008 43248 44149 44217 44676 45696 45951 46428 46746 47488 48552 49056 49152 50176 50456 52122 52224 53312 53424 54166 54272 55488 56064 56448 56644 56763 57232 57344 57664 58956 59568 59976 60809 60928 61056 61268 61904 62328 63291 64386 64512 64736 64872 65408 65773 68544 68782 69496 69632 69642 71232 72828 73584 73728 73984 74752 75264 75684 78183 78336 78608 79424 79968 81249 81408 83104 83232 84096 84388 84966 85848 86016 86496 88298 88434 89352 91392 91902 92856 93492 94976 97104 98112 100352 100912 103173 104244 104448 106624 106848 107219 108332 108544 110976 112128 112896 113288 113526 114464 114688 115328 117912 119136 119952 121618 121856 122112 122536 123808 124656 126582 127449 128772 129024 129472 129744 130816 131546 132447 137088 137564 137853 138992 139264 139284 142464 145656 147168 147456 147679 147968 149504 150528 151368 156366 156672 157216 158848 159936 162498 162816 166208 166464 168192 168776 169932 171696 172032 172992 176596 176868 178704 182427 182784 183804 185712 186984 189581 189873 189952 194208 196224 197319 200704 201824 206346 208488 208896 213248 213696 214438 216664 217088 221952 224256 225792 226576 227052 228928 230656 235824 238272 239904 240737 243236 243712 243747 244224 245072 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2576196864 2629867632 2635014144 2722019328 2737209168 2794234359 2799702528 2828765184 2892145536 2938052608 2958176256 2988883968 3005563008 3074183168 3106095104 3110879232 3175689216 3193410696 3199660032 3232874496 3255017472 3266319616 3300226048 3305309184 3374169792 3434929152 3458456064 3494356992 3506490176 3629359104 3649612224 3674609568 3712754304 3725645812 3732936704 3771686912 3856194048 3944235008 3944801448 3952521216 3993550848 4007417344 4199553792 4234252288 4243147776 4257880928 4266213376 4407078912 4437264384 4483325952 4498893056 4508344512 4579905536 4611274752 4659142656 4763533824 4790116044 4799490048 4849311744 4866149632 4899479424 4950339072 5061254688 5071159296 5141592064 5152393728 5259735264 5270028288 5444038656 5474418336 5588468718 5599405056 5657530368 5784291072 5876105216 5916352512 6011126016 6148366336 6351378432 6386821392 6399320064 6510034944 6532639232 6600452096 6610618368 6748339584 6869858304 6916912128 6988713984 7012980352 7258718208 7299224448 7349219136 7425508608 7451291624 7465873408 7543373824 7712388096 7889602896 7905042432 8014834688 8382703077 8399107584 8468504576 8486295552 8515761856 8814157824 8874528768 8966651904 8997786112 9016689024 9159811072 9222549504 9318285312 9527067648 9580232088 9598980096 9698623488 9732299264 9798958848 9900678144 10122509376 10283184128 10304787456 10519470528 10888077312 10948836672 11176937436 11198810112 11315060736 11568582144 11832705024 12022252032 12296732672 12702756864 12773642784 12798640128 13065278464 13200904192 13221236736 13496679168 13739716608 13833824256 13977427968 14025960704 14598448896 14698438272 14851017216 14902583248 14931746816 15424776192 15779205792 15810084864 16029669376 16765406154 16798215168 16937009152 16972591104 17031523712 17628315648 17749057536 17995572224 18033378048 18319622144 18445099008 19054135296 19160464176 19197960192 19464598528 19597917696 19801356288 20245018752 20566368256 20609574912 21038941056 21776154624 21897673344 22353874872 22397620224 22630121472 23137164288 24044504064 25405513728 25547285568 26130556928 26401808384 26442473472 26993358336 27479433216 27667648512 27954855936 28051921408 29196897792 29396876544 29702034432 29805166496 29863493632 30849552384 31558411584 32059338752 33530812308 33596430336 33945182208 34063047424 35498115072 35991144448 36066756096 36890198016 38108270592 38320928352 38395920384 38929197056 39195835392 39602712576 40490037504 41132736512 41219149824 42077882112 43795346688 44707749744 44795240448 46274328576 48089008128 50811027456 51094571136 52261113856 52803616768 52884946944 53986716672 54958866432 55335297024 56103842816 58393795584 58793753088 59404068864 59610332992 61699104768 63116823168 64118677504 67061624616 67192860672 67890364416 68126094848 71982288896 72133512192 76216541184 76641856704 77858394112 78391670784 79205425152 80980075008 82438299648 84155764224 87590693376 89415499488 89590480896 92548657152 96178016256 102189142272 104522227712 107973433344 110670594048 112207685632 116787591168 117587506176 118808137728 119220665984 123398209536 126233646336 128237355008 134123249232 134385721344 136252189696 143964577792 144267024384 152433082368 153283713408 155716788224 156783341568 158410850304 161960150016 164876599296 168311528448 175181386752 178830998976 185097314304 192356032512 204378284544 209044455424 215946866688 224415371264 233575182336 235175012352 237616275456 238441331968 252467292672 268246498464 268771442688 272504379392 287929155584 288534048768 306567426816 311433576448 313566683136 323920300032 336623056896 350362773504 357661997952 370194628608 384712065024 408756569088 431893733376 448830742528 467150364672 470350024704 475232550912 476882663936 504934585344 536492996928 545008758784 577068097536 613134853632 627133366272 647840600064 673246113792 700725547008 715323995904 817513138176 863787466752 897661485056 934300729344 940700049408 953765327872 1009869170688 1072985993856 1090017517568 1154136195072 1226269707264 1295681200128 1346492227584 1401451094016 1430647991808 1635026276352 1881400098816 1907530655744 2019738341376 2145971987712 2180035035136 2452539414528 2591362400256 2692984455168 2802902188032 2861295983616 3270052552704 3815061311488 4039476682752 4291943975424 4905078829056 5722591967232 6540105105408 7630122622976 8078953365504 8583887950848 9810157658112 11445183934464 15260245245952 17167775901696 19620315316224 22890367868928 34335551803392 45780735737856 68671103606784 137342207213568
- Sum of all divisors σ(n): 506466671714640
- Sum of proper divisors (its aliquot sum) s(n): 369124464501072
- 137342207213568 is an abundant number, because the sum of its proper divisors (369124464501072) is greater than itself. Its abundance is 231782257287504
Bases of 137342207213568
- Binary: 111110011101001011110010111100101000000000000002
- Hexadecimal: 0x7CE979794000
- Base-36: 1COM503R40
Squares and roots of 137342207213568
- 137342207213568 squared (1373422072135682) is 18862881882294649974763290624
- 137342207213568 cubed (1373422072135683) is 2590669832123169409664388442692813619986432
-
The
square root of 137342207213568 is 11719309.1611053593 -
The
cube root of 137342207213568 is 51594.2544147411
Scales and comparisons
How big is 137342207213568?- 137,342,207,213,568 seconds is equal to 4,367,057 years, 18 weeks, 5 days, 18 hours, 52 minutes, 48 seconds.
-
To count from 1 to 137,342,207,213,568 would take you about ten million, nine hundred seventeen thousand, six hundred forty-three 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 137342207213568 cubic inches would be around 4299.5 feet tall.
Recreational maths with 137342207213568
- 137342207213568 backwards is 865312702243731
- The number of decimal digits it has is: 15
- The sum of 137342207213568's digits is 54
- More coming soon!
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MLA style:
"Number 137342207213568 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 137342207213568 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/137342207213568/
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Numbermatics. 2024. "Number 137342207213568 - Facts about the integer". https://numbermatics.com/n/137342207213568/
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