136972304322560
136,972,304,322,560 is an even composite number composed of seven prime numbers multiplied together.
What does the number 136972304322560 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1248 divisors.
136972304322560 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 136972304322560:
212 × 5 × 72 × 31 × 37 × 127 × 937
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 31 × 37 × 127 × 937)See below for interesting mathematical facts about the number 136972304322560 from the Numbermatics database.
Names of 136972304322560
- Cardinal: 136972304322560 can be written as One hundred thirty-six trillion, nine hundred seventy-two billion, three hundred four million, three hundred twenty-two thousand, five hundred sixty.
Scientific notation
- Scientific notation: 1.3697230432256 × 1014
Factors of 136972304322560
Divisors of 136972304322560
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 31 32 35 37 40 49 56 62 64 70 74 80 98 112 124 127 128 140 148 155 160 185 196 217 224 245 248 254 256 259 280 296 310 320 370 392 434 448 490 496 508 512 518 560 592 620 635 640 740 784 868 889 896 937 980 992 1016 1024 1036 1085 1120 1147 1184 1240 1270 1280 1295 1480 1519 1568 1736 1778 1792 1813 1874 1960 1984 2032 2048 2072 2170 2240 2294 2368 2480 2540 2560 2590 2960 3038 3136 3472 3556 3584 3626 3748 3920 3937 3968 4064 4096 4144 4340 4445 4480 4588 4685 4699 4736 4960 5080 5120 5180 5735 5920 6076 6223 6272 6559 6944 7112 7168 7252 7496 7595 7840 7874 7936 8029 8128 8288 8680 8890 8960 9065 9176 9370 9398 9472 9920 10160 10240 10360 11470 11840 12152 12446 12544 13118 13888 14224 14336 14504 14992 15190 15680 15748 15872 16058 16256 16576 17360 17780 17920 18130 18352 18740 18796 18944 19685 19840 20320 20480 20720 22940 23495 23680 24304 24892 25088 26236 27559 27776 28448 28672 29008 29047 29984 30380 31115 31360 31496 31744 32116 32512 32795 32893 33152 34669 34720 35560 35840 36260 36704 37480 37592 37888 39370 39680 40145 40640 41440 45880 45913 46990 47360 48608 49784 50176 52472 55118 55552 56203 56896 58016 58094 59968 60760 62230 62720 62992 63488 64232 65024 65590 65786 66304 69338 69440 71120 71680 72520 73408 74960 75184 75776 78740 79360 80290 81280 82880 91760 91826 93980 94720 97216 99568 100352 104944 110236 111104 112406 113792 116032 116188 118999 119936 121520 124460 125440 125984 126976 128464 130048 131180 131572 132608 137795 138676 138880 142240 143360 145040 145235 145669 146816 149920 150368 151552 157480 158720 160580 162560 164465 165760 173345 183520 183652 187960 189440 192913 194432 199136 200704 203329 209888 220472 222208 224812 227584 229565 230251 232064 232376 237998 239872 242683 243040 248920 250880 251968 256928 260096 262360 263144 265216 275590 277352 277760 281015 284480 290080 290470 291338 293632 299840 300736 314960 317440 321160 325120 328930 331520 346690 367040 367304 375920 378880 385826 388864 398272 406658 419776 440944 444416 449624 455168 459130 460502 464128 464752 475996 479744 485366 486080 497840 501760 503936 513856 520192 524720 526288 530432 551180 554704 555520 562030 568960 580160 580940 582676 587264 594995 599680 601472 629920 634880 642320 650240 657860 663040 693380 728345 734080 734608 751840 757760 771652 777728 796544 813316 832993 839552 881888 888832 899248 910336 918260 921004 928256 929504 951992 959488 964565 970732 972160 995680 1003520 1007872 1016645 1019683 1027712 1049440 1052576 1060864 1074739 1102360 1109408 1111040 1124060 1137920 1151255 1160320 1161880 1165352 1174528 1189990 1199360 1202944 1213415 1259840 1284640 1300480 1315720 1326080 1386760 1423303 1456690 1468160 1469216 1503680 1543304 1555456 1593088 1626632 1665986 1679104 1698781 1763776 1798496 1820672 1836520 1842008 1856512 1859008 1903984 1918976 1929130 1941464 1944320 1991360 2015744 2033290 2039366 2055424 2098880 2105152 2149478 2204720 2218816 2222080 2248120 2275840 2302510 2320640 2323760 2330704 2349056 2379980 2398720 2405888 2426830 2519680 2569280 2600960 2631440 2652160 2773520 2846606 2913380 2936320 2938432 3007360 3086608 3110912 3186176 3253264 3331972 3358208 3397562 3527552 3596992 3641344 3673040 3684016 3688969 3713024 3718016 3807968 3837952 3858260 3882928 3888640 3982720 4031488 4066580 4078732 4110848 4164965 4197760 4210304 4298956 4402963 4409440 4437632 4444160 4496240 4551680 4605020 4641280 4647520 4661408 4698112 4759960 4797440 4811776 4853660 5039360 5098415 5138560 5262880 5304320 5373695 5547040 5693212 5826760 5830951 5872640 5876864 6014720 6173216 6221824 6372352 6506528 6663944 6716416 6795124 7055104 7116515 7137781 7193984 7346080 7368032 7377938 7426048 7436032 7523173 7615936 7716520 7765856 7777280 7965440 8062976 8133160 8157464 8221696 8329930 8395520 8420608 8493905 8597912 8805926 8818880 8875264 8992480 9103360 9210040 9282560 9295040 9322816 9519920 9594880 9623552 9707320 10078720 10196830 10277120 10525760 10747390 11094080 11386424 11653520 11661902 11745280 11753728 12029440 12346432 12744704 13013056 13327888 13432832 13590248 14110208 14233030 14275562 14387968 14692160 14736064 14755876 14872064 15046346 15231872 15433040 15531712 15554560 15930880 16125952 16266320 16314928 16443392 16659860 16791040 16841216 16987810 17195824 17611852 17637760 17750528 17984960 18206720 18420080 18444845 18565120 18590080 18645632 19039840 19189760 19247104 19414640 20157440 20393660 20554240 21051520 21494780 22014815 22188160 22772848 23307040 23323804 23490560 23507456 24058880 24692864 25489408 25822783 26026112 26655776 26865664 27180496 28220416 28466060 28551124 28775936 29154755 29384320 29472128 29511752 29744128 30092692 30463744 30820741 30866080 31063424 31109120 31861760 32532640 32629856 32886784 33319720 33582080 33682432 33975620 34391648 35223704 35275520 35501056 35688905 35969920 36840160 36889690 37130240 37180160 37291264 37615865 38079680 38829280 40314880 40787320 41108480 42103040 42989560 44029630 44376320 45545696 46614080 46647608 47014912 48117760 49385728 51645566 52052224 52662211 53311552 54360992 56440832 56932120 57102248 57551872 58309510 58768640 58944256 59023504 59488256 60185384 60927488 61641482 61732160 62126848 63723520 65065280 65259712 66639440 67164160 67364864 67951240 68783296 70447408 70551040 71002112 71377810 71939840 73680320 73779380 74360320 74582528 75231730 76159360 77658560 80629760 81574640 82216960 84206080 85979120 88059260 88752640 91091392 93228160 93295216 94029824 96235520 98771456 103291132 104104448 105324422 106623104 108721984 112881664 113864240 114204496 115103744 116619020 117537280 117888512 118047008 118976512 120370768 121854976 123282964 123464320 124253696 127447040 129113915 130130560 130519424 133278880 134328320 134729728 135902480 136491853 137566592 140894816 141102080 142004224 142755620 143879680 147360640 147558760 148720640 149165056 150463460 152318720 154103705 155317120 163149280 164433920 168412160 171958240 176118520 177505280 180759481 182182784 186456320 186590432 188059648 197542912 206582264 208208896 210648844 213246208 215745187 217443968 227728480 228408992 230207488 233238040 235074560 235777024 236094016 240741536 243709952 246565928 246928640 248507392 258227830 260261120 261038848 263311055 266557760 271804960 272983706 275133184 281789632 282204160 285511240 287759360 294721280 295117520 297441280 298330112 300926920 304637440 308207410 310634240 326298560 336824320 343916480 352237040 355010560 361518962 364365568 372912640 373180864 395085824 413164528 416417792 421297688 426492416 431490374 434887936 455456960 456817984 466476080 470149120 471554048 472188032 481483072 487419904 493131856 493857280 497014784 516455660 520522240 522077696 526622110 533115520 543609920 545967412 550266368 563579264 564408320 571022480 575518720 589442560 590235040 594882560 596660224 601853840 609274880 616414820 621268480 652597120 673648640 682459265 687832960 704474080 710021120 723037924 728731136 745825280 746361728 790171648 826329056 832835584 842595376 852984832 862980748 869775872 903797405 910913920 913635968 932952160 940298240 943108096 944376064 955442971 962966144 986263712 987714560 994029568 1032911320 1041044480 1044155392 1053244220 1066231040 1078725935 1087219840 1091934824 1100532736 1127158528 1142044960 1151037440 1178885120 1180470080 1203707680 1218549760 1232829640 1242536960 1305194240 1364918530 1375665920 1408948160 1446075848 1457462272 1491650560 1492723456 1652658112 1685190752 1705969664 1725961496 1739551744 1807594810 1821827840 1827271936 1865904320 1888752128 1910885942 1925932288 1972527424 1975429120 2065822640 2082088960 2088310784 2106488440 2132462080 2157451870 2174439680 2183869648 2201065472 2254317056 2284089920 2357770240 2360940160 2407415360 2437099520 2465659280 2485073920 2610388480 2729837060 2751331840 2817896320 2892151696 2914924544 2983301120 2985446912 3305316224 3370381504 3411939328 3451922992 3479103488 3615189620 3643655680 3654543872 3731808640 3777504256 3821771884 3851864576 3945054848 3950858240 4131645280 4164177920 4176621568 4212976880 4264924160 4314903740 4348879360 4367739296 4402130944 4508634112 4568179840 4715540480 4721880320 4777214855 4814830720 4931318560 4970147840 5220776960 5459674120 5502663680 5635792640 5784303392 5829849088 5970893824 6610632448 6688100797 6740763008 6903845984 6958206976 7230379240 7287311360 7309087744 7463617280 7555008512 7643543768 7703729152 7890109696 8263290560 8425953760 8529848320 8629807480 8697758720 8735478592 9017268224 9136359680 9443760640 9554429710 9629661440 9862637120 10441553920 10919348240 11005327360 11271585280 11568606784 11941787648 13221264896 13376201594 13481526016 13807691968 14460758480 14574622720 14618175488 14927234560 15110017024 15287087536 15407458304 15780219392 16526581120 16851907520 17059696640 17259614960 17395517440 17470957184 18034536448 18272719360 18887521280 19108859420 19259322880 19725274240 20883107840 21838696480 22010654720 22543170560 23137213568 23883575296 26442529792 26752403188 26963052032 27615383936 28921516960 29149245440 29236350976 29854469120 30574175072 30814916608 31560438784 33053162240 33440503985 33703815040 34519229920 34791034880 34941914368 36545438720 37775042560 38217718840 38518645760 39450548480 43677392960 45086341120 46274427136 52885059584 53504806376 53926104064 55230767872 57843033920 59708938240 61148350144 63120877568 66106324480 66881007970 67407630080 69038459840 69883828736 73090877440 75550085120 76435437680 77037291520 78901096960 87354785920 90172682240 92548854272 105770119168 107009612752 107852208128 110461535744 115686067840 119417876480 122296700288 126241755136 132212648960 133762015940 134815260160 138076919680 139767657472 146181754880 152870875360 154074583040 157802193920 174709571840 185097708544 214019225504 215704416256 220923071488 231372135680 244593400576 264425297920 267524031880 269630520320 276153839360 279535314944 305741750720 315604387840 349419143680 370195417088 428038451008 441846142976 462744271360 489186801152 528850595840 535048063760 539261040640 552307678720 559070629888 611483501440 631208775680 698838287360 740390834176 856076902016 883692285952 925488542720 978373602304 1070096127520 1078522081280 1104615357440 1222967002880 1397676574720 1712153804032 1850977085440 1956747204608 2140192255040 2209230714880 2445934005760 2795353149440 3424307608064 3701954170880 3913494409216 4280384510080 4418461429760 4891868011520 6848615216128 8560769020160 9783736023040 13697230432256 17121538040320 19567472046080 27394460864512 34243076080640 68486152161280 136972304322560
- Sum of all divisors σ(n): 408986916323328
- Sum of proper divisors (its aliquot sum) s(n): 272014612000768
- 136972304322560 is an abundant number, because the sum of its proper divisors (272014612000768) is greater than itself. Its abundance is 135042307678208
Bases of 136972304322560
- Binary: 111110010010011010110011000101100010000000000002
- Hexadecimal: 0x7C93598B1000
- Base-36: 1CJW7HH1Q8
Squares and roots of 136972304322560
- 136972304322560 squared (1369723043225602) is 18761412151431988860524953600
- 136972304322560 cubed (1369723043225603) is 2569793854726917517094339870936023433216000
-
The
square root of 136972304322560 is 11703516.7502148687 -
The
cube root of 136972304322560 is 51547.8932762587
Scales and comparisons
How big is 136972304322560?- 136,972,304,322,560 seconds is equal to 4,355,295 years, 30 weeks, 6 days, 7 hours, 49 minutes, 20 seconds.
-
To count from 1 to 136,972,304,322,560 would take you about ten million, eight hundred eighty-eight thousand, two hundred thirty-eight 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 136972304322560 cubic inches would be around 4295.7 feet tall.
Recreational maths with 136972304322560
- 136972304322560 backwards is 065223403279631
- The number of decimal digits it has is: 15
- The sum of 136972304322560's digits is 53
- More coming soon!
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The information we have on file for 136972304322560 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 136972304322560, math, Factors of 136972304322560, curriculum, school, college, exams, university, Prime factorization of 136972304322560, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-six trillion, nine hundred seventy-two billion, three hundred four million, three hundred twenty-two thousand, five hundred sixty.