137053310647997400
137,053,310,647,997,400 is an even composite number composed of seven prime numbers multiplied together.
137053310647997400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 137053310647997400:
23 × 3 × 52 × 173 × 412 × 612 × 7433
(2 × 2 × 2 × 3 × 5 × 5 × 17 × 17 × 17 × 41 × 41 × 61 × 61 × 7433)See below for interesting mathematical facts about the number 137053310647997400 from the Numbermatics database.
Names of 137053310647997400
- Cardinal: 137053310647997400 can be written as One hundred thirty-seven quadrillion, fifty-three trillion, three hundred ten billion, six hundred forty-seven million, nine hundred ninety-seven thousand, four hundred.
Scientific notation
- Scientific notation: 1.370533106479974 × 1017
Factors of 137053310647997400
Divisors of 137053310647997400
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 41 50 51 60 61 68 75 82 85 100 102 120 122 123 136 150 164 170 183 200 204 205 244 246 255 289 300 305 328 340 366 408 410 425 488 492 510 578 600 610 615 680 697 732 820 850 867 915 984 1020 1025 1037 1156 1220 1230 1275 1394 1445 1464 1525 1640 1681 1700 1734 1830 2040 2050 2074 2091 2312 2440 2460 2501 2550 2788 2890 3050 3075 3111 3362 3400 3468 3485 3660 3721 4100 4148 4182 4335 4575 4913 4920 5002 5043 5100 5185 5576 5780 6100 6150 6222 6724 6936 6970 7225 7320 7433 7442 7503 8200 8296 8364 8405 8670 9150 9826 10004 10086 10200 10370 10455 11163 11560 11849 12200 12300 12444 12505 13448 13940 14450 14739 14866 14884 15006 15555 16728 16810 17340 17425 17629 18300 18605 19652 20008 20172 20740 20910 21675 22299 22326 23698 24565 24600 24888 25010 25215 25925 27880 28577 28900 29478 29732 29768 30012 31110 33620 34680 34850 35258 35547 36600 37165 37210 37515 39304 40344 41480 41820 42025 42517 43350 44598 44652 47396 49130 50020 50430 51850 52275 52887 55815 57154 57800 58956 59245 59464 60024 62220 62525 63257 67240 69700 70516 71094 73695 74330 74420 75030 77775 83640 84050 85034 85731 86700 88145 89196 89304 93025 94792 98260 100040 100860 102541 103700 104550 105774 111495 111630 114308 117912 118490 122825 124440 125050 126075 126361 126514 127551 139400 141032 142188 142885 147390 148660 148840 150060 152561 155550 168100 170068 171462 173400 176290 177735 178392 185825 186050 187575 189771 196520 201433 201720 205082 207400 209100 211548 212585 222990 223260 228616 236980 245650 250100 252150 252722 253028 255102 264435 279075 284376 285770 294780 296225 297320 299693 300120 304753 305122 307623 311100 316285 336200 340136 342924 352580 355470 368475 371650 372100 375150 379083 379542 402866 410164 418200 423096 425170 428655 440725 445980 446520 453413 457683 473960 485809 491300 500200 504300 505444 506056 510204 512705 528870 557475 558150 571540 589560 592450 599386 604299 609506 610244 615246 622200 631805 632570 637755 685848 705160 710940 714425 722789 736950 743300 744200 750300 758166 759084 762805 805732 820328 850340 857310 881450 888675 891960 899079 906826 914259 915366 948855 971618 982600 1007165 1008600 1010888 1020408 1025410 1057740 1062925 1075369 1114950 1116300 1143080 1184900 1198772 1208598 1219012 1220488 1230492 1263610 1265140 1275510 1322175 1360239 1421880 1428850 1445578 1457427 1473900 1486600 1498465 1500600 1516332 1518168 1523765 1525610 1538115 1581425 1611464 1700680 1714620 1743197 1762900 1777350 1798158 1813652 1828518 1830732 1895415 1897710 1943236 2014330 2050820 2115480 2125850 2143275 2148137 2150738 2168367 2229900 2232600 2267065 2288415 2369800 2397544 2417196 2429045 2438024 2460984 2527220 2530280 2551020 2563525 2593537 2644350 2720478 2857700 2891156 2914854 2947800 2996930 3021495 3032664 3047530 3051220 3076230 3159025 3162850 3188775 3226107 3429240 3486394 3525800 3554700 3596316 3613945 3627304 3657036 3661464 3790830 3795420 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18136520 18281273 18285180 18307320 18589933 18765003 18954150 18977100 19432360 20143300 20508200 20723204 20748296 20918364 21481370 21507380 21683670 22476975 22670650 22856475 22884150 23124063 24171960 24290450 24574826 24776259 24989746 25020004 25272200 25510200 25777644 25808856 25904005 25935370 26147955 26884225 27204780 27658193 28911560 29148540 29634349 29969300 30214950 30475300 30512200 30762300 30832084 31084806 31122444 31275005 32222055 32261070 33035012 34005975 34863940 35963160 36139450 36435675 36518329 36562546 36570360 36862239 37179866 37484619 37530006 37908300 37954200 38540105 38903055 40286600 41293765 41446408 41836728 42962740 43014760 43367340 43579925 44090129 44953950 45341300 45712950 45768300 46248126 48580900 49149652 49552518 49979492 50040008 51555288 51808010 51870740 52295910 53703425 53768450 54209175 54409560 54843819 55316386 55769799 58297080 59268698 59938600 60429900 60950600 61437065 61524600 61664168 62169612 62244888 62474365 62550010 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462666252504 464934224330 479593066620 481944013025 491098488392 518287332040 537249063700 541652744550 542308586700 543538808836 547994044974 557921069196 578332815630 599491333275 613873110490 614616398260 644698876440 647859165050 655443857714 660816348351 668285420700 679423511045 680391547800 697401336495 722203659400 730658726632 736647732588 737539677912 768270497825 771110420840 777430998060 790388181361 799321777700 805873595550 815308213254 881088464468 898350893400 913323408290 920809665735 921924597390 929868448660 959186133240 963888026050 971788747575 983165786571 1074498127400 1083305489100 1084617173400 1087077617672 1095988089948 1101360580585 1115842138392 1156665631260 1162335560825 1198982666550 1227746220980 1229232796520 1295718330100 1310887715428 1321632696702 1336570841400 1358847022090 1369985112435 1394802672990 1445832039075 1473295465176 1534682776225 1536540995650 1554861996120 1580776362722 1598643555400 1611747191100 1630616426508 1638609644285 1762176928936 1826646816580 1841619331470 1843849194780 1859736897320 1927776052100 1943577495150 1966331573142 2038270533135 2166610978200 2191976179896 2202721161170 2283308520725 2304811493475 2313331262520 2324671121650 2371164544083 2397965333100 2455492441960 2591436660200 2621775430856 2643265393404 2717694044180 2739970224870 2789605345980 2891664078150 3069365552450 3073081991300 3161552725444 3223494382200 3261232853016 3277219288570 3304081741755 3397117555225 3487006682475 3653293633160 3683238662940 3687698389560 3744625973989 3855552104200 3887154990300 3932663146284 3951940906805 4076541066270 4405442322340 4566617041450 4604048328675 4609622986950 4649342243300 4742329088166 4795930666200 4915828932855 5286530786808 5435388088360 5479940449740 5506802902925 5571272790569 5579210691960 5783328156300 6138731104900 6146163982600 6323105450888 6554438577140 6608163483510 6794235110450 6849925562175 6974013364950 7366477325880 7489251947978 7774309980600 7865326292568 7903881813610 8153082132540 8193048221425 8810884644680 9133234082900 9208096657350 9219245973900 9298684486600 9484658176332 9831657865710 10191352665675 10959880899480 11013605805850 11142545581138 11233877921967 11566656312600 11855822720415 12277462209800 13108877154280 13216326967020 13436599083137 13588470220900 13699851124350 13948026729900 14978503895956 15807763627220 16306164265080 16386096442850 16520408708775 16713818371707 18266468165800 18416193314700 18438491947800 18723129869945 18969316352664 19663315731420 19759704534025 20382705331350 22027211611700 22285091162276 22467755843934 23711645440830 24579144664275 26432653934040 26873198166274 27176940441800 27399702248700 27856363952845 27896053459800 29957007791912 31615527254440 32772192885700 33040817417550 33427636743414 36832386629400 37446259739890 39326631462840 39519409068050 40309797249411 40765410662700 44054423223400 44570182324552 44935511687868 47423290881660 49158289328550 53746396332548 54799404497400 55712727905690 56169389609835 59279113602075 65544385771400 66081634835100 66855273486828 67182995415685 74892519479780 79038818136100 80619594498822 81530821325400 83569091858535 89871023375736 93615649349725 94846581763320 98316578657100 107492792665096 111425455811380 112338779219670 118558227204150 132163269670200 133710546973656 134365990831370 139281819764225 149785038959560 158077636272200 161239188997644 167138183717070 187231298699450 196633157314200 201548986247055 222850911622760 224677558439340 228422184413329 237116454408300 268731981662740 278563639528450 280846948049175 322478377995288 334276367434140 335914977078425 374462597398900 403097972494110 417845459292675 449355116878680 456844368826658 474232908816600 537463963325480 557127279056900 561693896098350 668552734868280 671829954156850 685266553239987 748925194797800 806195944988220 835690918585350 913688737653316 1007744931235275 1114254558113800 1123387792196700 1142110922066645 1343659908313700 1370533106479974 1612391889976440 1671381837170700 1827377475306632 2015489862470550 2246775584393400 2284221844133290 2687319816627400 2741066212959948 3342763674341400 3426332766199935 4030979724941100 4568443688266580 5482132425919896 5710554610333225 6852665532399870 8061959449882200 9136887376533160 11421109220666450 13705331064799740 17131663830999675 22842218441332900 27410662129599480 34263327661999350 45684436882665800 68526655323998700 137053310647997400
- Sum of all divisors σ(n): 470465328093415200
- Sum of proper divisors (its aliquot sum) s(n): 333412017445417800
- 137053310647997400 is an abundant number, because the sum of its proper divisors (333412017445417800) is greater than itself. Its abundance is 196358706797420400
Bases of 137053310647997400
- Binary: 1111001101110100101000010100010000111011100010011110110002
- Hexadecimal: 0x1E6E942887713D8
- Base-36: 11HHCDPW774O
Squares and roots of 137053310647997400
- 137053310647997400 squared (1370533106479974002) is 18783609959576477502688630406760000
- 137053310647997400 cubed (1370533106479974003) is 2574355930880652856303673219513829888741422424000000
-
The
square root of 137053310647997400 is 370207118.5809335569 -
The
cube root of 137053310647997400 is 515580.5319515471
Scales and comparisons
How big is 137053310647997400?- 137,053,310,647,997,400 seconds is equal to 4,357,871,344 years, 45 weeks, 6 days, 10 minutes.
-
To count from 1 to 137,053,310,647,997,400 would take you about thirteen billion, seventy-three million, six hundred fourteen thousand and thirty-four 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 137053310647997400 cubic inches would be around 42965 feet tall.
Recreational maths with 137053310647997400
- 137053310647997400 backwards is 004799746013350731
- The number of decimal digits it has is: 18
- The sum of 137053310647997400's digits is 69
- More coming soon!
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"Number 137053310647997400 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 137053310647997400 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/137053310647997400/
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Numbermatics. 2024. "Number 137053310647997400 - Facts about the integer". https://numbermatics.com/n/137053310647997400/
The information we have on file for 137053310647997400 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!
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