137396981064000
137,396,981,064,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137396981064000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1792 divisors.
137396981064000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 137396981064000:
26 × 3 × 53 × 7 × 19 × 137 × 379 × 829
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 19 × 137 × 379 × 829)See below for interesting mathematical facts about the number 137396981064000 from the Numbermatics database.
Names of 137396981064000
- Cardinal: 137396981064000 can be written as One hundred thirty-seven trillion, three hundred ninety-six billion, nine hundred eighty-one million, sixty-four thousand.
Scientific notation
- Scientific notation: 1.37396981064 × 1014
Factors of 137396981064000
Divisors of 137396981064000
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 32 35 38 40 42 48 50 56 57 60 64 70 75 76 80 84 95 96 100 105 112 114 120 125 133 137 140 150 152 160 168 175 190 192 200 210 224 228 240 250 266 274 280 285 300 304 320 336 350 375 379 380 399 400 411 420 448 456 475 480 500 525 532 548 560 570 600 608 665 672 685 700 750 758 760 798 800 822 829 840 875 912 950 959 960 1000 1050 1064 1096 1120 1137 1140 1200 1216 1330 1344 1370 1400 1425 1500 1516 1520 1596 1600 1644 1658 1680 1750 1824 1895 1900 1918 1995 2000 2055 2100 2128 2192 2240 2274 2280 2375 2400 2487 2603 2625 2653 2660 2740 2800 2850 2877 3000 3032 3040 3192 3288 3316 3325 3360 3425 3500 3648 3790 3800 3836 3990 4000 4110 4145 4200 4256 4384 4548 4560 4750 4795 4800 4974 5206 5250 5306 5320 5480 5600 5685 5700 5754 5803 6000 6064 6080 6384 6576 6632 6650 6720 6850 7000 7125 7201 7580 7600 7672 7809 7959 7980 8000 8220 8290 8400 8512 8768 9096 9120 9475 9500 9590 9948 9975 10275 10412 10500 10612 10640 10960 11200 11370 11400 11508 11606 12000 12128 12435 12768 13015 13152 13264 13265 13300 13700 14000 14250 14385 14402 15160 15200 15344 15618 15751 15918 15960 16440 16580 16625 16800 17125 17409 18192 18221 18240 18950 19000 19180 19896 19950 20550 20725 20824 21000 21224 21280 21603 21920 22740 22800 23016 23212 23975 24000 24256 24870 25536 26030 26304 26528 26530 26600 27400 28000 28425 28500 28770 28804 29015 30320 30400 30688 31236 31502 31836 31920 32880 33160 33250 33600 34250 34818 36005 36384 36442 37900 38000 38360 39045 39792 39795 39900 41100 41450 41648 42000 42448 42560 43206 43840 45480 45600 46032 46424 47253 47375 47950 49740 49875 50407 51375 51923 52060 53056 53060 53200 54663 54800 56000 56850 57000 57540 57608 58030 60640 61376 62175 62472 63004 63672 63840 65075 65760 66320 66325 66500 68500 69636 71925 72010 72768 72884 75800 76000 76720 78090 78755 79584 79590 79800 82200 82900 83296 84000 84896 86412 87045 90960 91105 91200 92064 92848 94506 94750 95900 99480 99750 100814 102750 103625 103846 104120 106120 106400 108015 109326 109600 110257 113573 113700 114000 115080 115216 116060 119875 121280 124350 124944 126008 127344 127680 130150 131520 132640 132650 133000 137000 139272 142125 143850 144020 145075 145768 151221 151600 152000 153440 155769 156180 157510 159168 159180 159600 164400 165800 166592 168000 169792 172824 174090 180025 181920 182210 184128 185696 189012 189500 191800 195225 198960 198975 199500 201628 205500 207250 207692 208240 212240 212800 216030 218652 219200 220514 227146 227400 228000 230160 230432 232120 236265 239750 248700 249888 252016 252035 254688 259615 260300 265280 265300 266000 273315 274000 278544 284250 287700 288040 290150 291536 302442 303200 306880 310875 311538 312360 314191 315020 318360 319200 325375 328800 330771 331600 331625 340719 345648 348180 359625 360050 363461 363840 364420 371392 378024 379000 383600 390450 393775 397920 397950 399000 403256 411000 414500 415384 416480 424480 432060 435225 437304 441028 454292 454800 455525 456000 460320 460864 464240 472530 479500 497400 499776 504032 504070 509376 519230 520600 530600 532000 540075 546630 548000 551285 557088 567865 568500 575400 576080 580300 583072 604884 606400 621750 623076 624720 628382 630040 636720 638400 650750 657600 661542 663200 663250 681438 691296 696360 719250 720100 725375 726922 728840 756048 756105 758000 767200 778845 780900 787550 795011 795840 795900 798000 806512 822000 829000 830768 832960 848960 864120 870450 874608 882056 900125 908584 909600 911050 920640 928480 942573 945060 959000 976125 986537 994800 994875 1008064 1008140 1038460 1041200 1061200 1064000 1080150 1090383 1093260 1096000 1102570 1114176 1135730 1137000 1150800 1152160 1160600 1166144 1181325 1209768 1243500 1246152 1249440 1256764 1260080 1260175 1273440 1298075 1301500 1323084 1326400 1326500 1362876 1366575 1382592 1392720 1438500 1440200 1450750 1453844 1457680 1512096 1512210 1516000 1534400 1557690 1561800 1570955 1575100 1590022 1591800 1596000 1613024 1644000 1653855 1658000 1661536 1703595 1728240 1740900 1749216 1764112 1800250 1817168 1817305 1819200 1822100 1856960 1885146 1890120 1918000 1952250 1968875 1973074 1989600 1989750 2016280 2076920 2082400 2122400 2157887 2160300 2176125 2180766 2186520 2199337 2205140 2271460 2274000 2277625 2301600 2304320 2321200 2362650 2385033 2419536 2487000 2492304 2498880 2513528 2520160 2520350 2546880 2596150 2603000 2646168 2653000 2700375 2725752 2733150 2756425 2785440 2839325 2877000 2880400 2901500 2907688 2915360 2959611 3024192 3024420 3032000 3115380 3123600 3141910 3150200 3180044 3183600 3192000 3226048 3288000 3307710 3316000 3323072 3407190 3456480 3481800 3498432 3528224 3600500 3634336 3634610 3644200 3770292 3780240 3780525 3836000 3894225 3904500 3937750 3946148 3975055 3979200 3979500 4032560 4153840 4164800 4244800 4315774 4320600 4352250 4361532 4373040 4398674 4410280 4542920 4548000 4555250 4603200 4642400 4712865 4725300 4770066 4839072 4932685 4974000 4984608 5027056 5040320 5040700 5192300 5206000 5292336 5306000 5400750 5451504 5451915 5466300 5512850 5570880 5678650 5754000 5760800 5803000 5815376 5830720 5906625 5919222 5969629 6048840 6230760 6247200 6283820 6300400 6300875 6360088 6367200 6473661 6490375 6598011 6615420 6632000 6814380 6832875 6905759 6912960 6963600 7056448 7201000 7268672 7269220 7288400 7540584 7560480 7561050 7672000 7788450 7809000 7854775 7875500 7892296 7950110 7959000 8065120 8269275 8307680 8517975 8631548 8641200 8704500 8723064 8746080 8797348 8820560 9085840 9086525 9096000 9110500 9284800 9425730 9450600 9540132 9678144 9865370 9948000 9969216 10054112 10081400 10384600 10412000 10584672 10612000 10789435 10801500 10903008 10903830 10932600 10996685 11025700 11357300 11508000 11521600 11606000 11630752 11813250 11838444 11925165 11939258 12097680 12461520 12494400 12567640 12600800 12601750 12720176 12734400 12947322 12980750 13196022 13230840 13628760 13665750 13782125 13811518 13927200 14196625 14402000 14538440 14576800 14798055 15081168 15105209 15120960 15122100 15576900 15618000 15709550 15751000 15784592 15900220 15918000 16130240 16538550 16615360 17035950 17263096 17282400 17409000 17446128 17492160 17594696 17641120 17908887 18171680 18173050 18221000 18851460 18901200 18902625 19080264 19471125 19730740 19875275 19896000 20108224 20162800 20717277 20769200 20824000 21169344 21224000 21578870 21603000 21806016 21807660 21865200 21993370 22051400 22714600 23016000 23212000 23261504 23564325 23626500 23676888 23850330 23878516 24195360 24663425 24923040 25135280 25201600 25203500 25440352 25894644 25961500 26392044 26461680 27257520 27259575 27331500 27564250 27623036 27854400 28393250 28804000 29076880 29153600 29596110 29848145 30162336 30210418 30244200 31153800 31236000 31419100 31502000 31569184 31800440 31836000 32368305 32990055 33077100 34071900 34526192 34528795 34564800 34818000 34892256 35189392 35282240 35817774 36343360 36346100 36442000 37702920 37802400 37805250 38160528 38942250 39273875 39461480 39750550 40325600 41346375 41434554 41538400 41787403 42589875 43044167 43157740 43206000 43615320 43730400 43986740 44102800 45315627 45429200 45432625 46424000 47128650 47253000 47353776 47700660 47757032 48390720 49326850 49846080 50270560 50407000 50880704 51789288 51923000 52784088 52923360 53947175 54515040 54519150 54663000 54983425 55128500 55246072 56786500 57608000 58153760 59192220 59625825 59696290 60324672 60420836 60488400 62307600 62472000 62838200 63004000 63138368 63600880 63672000 64736610 65980110 66154200 68143800 69052384 69057590 69636000 69784512 70378784 71635548 72692200 72884000 73990275 75405840 75526045 75604800 75610500 76321056 77884500 78547750 78922960 79501100 80651200 82692750 82869108 83076800 83574806 85179750 86088334 86315480 86412000 87230640 87460800 87973480 88205600 89544435 90631254 90858400 90865250 94257300 94506000 94707552 95401320 95514064 98653700 99376375 100541120 100814000 103578576 103586385 103846000 105568176 105846720 107894350 109030080 109038300 109326000 109966850 110257000 110492144 113573000 116307520 117821625 118384440 119251650 119392580 120841672 120976800 123317125 124615200 125362209 125676400 126008000 127201760 129132501 129473220 131960220 132308400 136287600 136297875 138104768 138115180 139272000 140757568 143271096 145384400 145768000 147980550 149240725 150811680 151052090 151221000 152642112 155769000 157095500 157845920 159002200 161841525 164950275 165385500 165738216 167149612 170359500 172176668 172630960 172643975 172824000 174461280 175946960 176411200 179088870 181262508 181716800 181730500 188514600 189012000 189415104 190802640 191028128 197307400 198752750 201628000 207157152 207172770 207692000 208937015 211136352 215220835 215788700 218076600 218652000 219933700 220514000 220984288 226578135 227146000 235643250 236768880 238503300 238785160 241683344 241953600 246634250 249230400 250724418 251352800 254403520 258265002 258946440 263920440 264616800 269735875 272575200 272595750 274917125 276230360 286542192 290768800 295961100 298129125 298481450 301309169 301623360 302104180 302442000 311538000 314191000 315691840 318004400 323683050 329900550 330771000 331476432 334299224 340719000 344353336 345261920 345287950 348922560 351893920 358177740 362525016 363461000 369951375 377029200 377630225 378024000 381605280 382056256 394614800 397505500 403256000 414314304 414345540 415384000 417874030 422272704 430441670 431577400 436153200 437304000 439867400 441028000 441968576 447722175 453156270 454292000 471286500 473537760 477006600 477570320 483366688 493268500 501448836 502705600 516530004 517892880 517931925 527840880 529233600 539471750 545150400 545191500 549834250 552460720 573084384 581537600 591922200 596258250 596962900 602618338 604208360 604884000 623076000 626811045 628382000 636008800 645662505 647366100 659801100 661542000 662952864 668598448 681438000 688706672 690523840 690575900 703787840 716355480 725050032 726922000 739902750 746203625 754058400 755260450 763210560 789229600 795011000 809207625 817839173 824751375 828691080 835748060 860883340 863154800 863219875 872306400 879734800 882056000 895444350 903927507 906312540 908584000 942573000 947075520 954013200 955140640 966733376 986537000 1002897672 1033060008 1035785760 1035863850 1044685075 1055681760 1076104175 1078943500 1090383000 1099668500 1104921440 1132890675 1146168768 1183844400 1192516500 1193925800 1205236676 1208416720 1209768000 1246152000 1253622090 1256764000 1272017600 1291325010 1294732200 1319602200 1323084000 1325905728 1337196896 1362876000 1377413344 1381151800 1432710960 1450100064 1453844000 1479805500 1492407250 1506545845 1508116800 1510520900 1578459200 1590022000 1618415250 1635678346 1649502750 1657382160 1671496120 1721766680 1726309600 1726439750 1744612800 1759469600 1790888700 1807855014 1812625080 1885146000 1888151125 1908026400 1910281280 1973074000 2005795344 2066120016 2071571520 2071727700 2089370150 2111363520 2152208350 2157887000 2180766000 2199337000 2209842880 2238610875 2265781350 2367688800 2385033000 2387851600 2410473352 2416833440 2453517519 2507244180 2513528000 2582650020 2589464400 2589659625 2639204400 2646168000 2674393792 2725752000 2754826688 2762303600 2865421920 2900200128 2907688000 2959611000 2984814500 3013091690 3021041800 3134055225 3180044000 3228312525 3236830500 3271356692 3299005500 3314764320 3342992240 3443533360 3452619200 3452879500 3518939200 3581777400 3615710028 3625250160 3770292000 3776302250 3816052800 3946148000 4011590688 4089195865 4132240032 4143455400 4178740300 4304416700 4315774000 4361532000 4398674000 4477221750 4519637535 4531562700 4735377600 4770066000 4775703200 4820946704 4833666880 4907035038 5014488360 5165300040 5178928800 5179319250 5223425375 5278408800 5380520875 5524607200 5664453375 5724874211 5730843840 5919222000 5969629000 6026183380 6042083600 6268110450 6360088000 6456625050 6473661000 6542713384 6598011000 6629528640 6685984480 6887066720 6905759000 7163554800 7231420056 7250500320 7532729225 7540584000 7552604500 7892296000 8023181376 8178391730 8264480064 8286910800 8357480600 8608833400 8631548000 8723064000 8797348000 8954443500 9039275070 9063125400 9540132000 9551406400 9641893408 9814070076 10028976720 10330600080 10357857600 10358638500 10446850750 10556817600 10761041750 11049214400 11328906750 11449748422 11838444000 11939258000 12052366760 12084167200 12267587595 12536220900 12913250100 12947322000 13085426768 13196022000 13371968960 13774133440 13811518000 14327109600 14462840112 14501000640 15065458450 15105209000 15670276125 16141562625 16356783460 16573821600 16714961200 17174622633 17217666800 17263096000 17594696000 17908887000 18078550140 18126250800 19080264000 19283786816 19628140152 20057953440 20445979325 20661200160 20717277000 20893701500 21522083500 22598187675 22657813500 22899496844 23676888000 23878516000 24104733520 24168334400 24535175190 25072441800 25826500200 25894644000 26170853536 26392044000 27623036000 28624371055 28654219200 28925680224 30130916900 30210418000 31340552250 32283125250 32713566920 33147643200 33429922400 34349245266 34435333600 35817774000 36157100280 36252501600 37663646125 39256280304 40115906880 40891958650 41322400320 41434554000 41787403000 43044167000 45196375350 45315627000 45798993688 47757032000 48209467040 49070350380 50144883600 51653000400 51789288000 52341707072 52784088000 55246072000 57248742110 57851360448 60261833800 60420836000 61337937975 62681104500 64566250500 65427133840 66859844800 68698490532 68870667200 71635548000 72314200560 72505003200 75327292250 78512560608 81783917300 82869108000 83574806000 85873113165 86088334000 90392750700 90631254000 91597987376 96418934080 98140700760 100289767200 102229896625 103306000800 112990938375 114497484220 120523667600 120841672000 122675875950 125362209000 129132501000 130854267680 137396981064 143121855275 143271096000 144628401120 150654584500 157025121216 163567834600 165738216000 167149612000 171746226330 172176668000 180785501400 181262508000 183195974752 196281401520 200579534400 204459793250 206612001600 225981876750 228994968440 241047335200 245351751900 250724418000 258265002000 261708535360 274793962128 286243710550 289256802240 301309169000 306689689875 327135669200 334299224000 343492452660 344353336000 361571002800 362525016000 366391949504 392562803040 408919586500 429365565825 451963753500 457989936880 482094670400 490703503800 501448836000 516530004000 549587924256 572487421100 602618338000 613379379750 654271338400 686984905320 715609276375 723142005600 785125606080 817839173000 858731131650 903927507000 915979873760 981407007600 1002897672000 1033060008000 1099175848512 1144974842200 1205236676000 1226758759500 1308542676800 1373969810640 1431218552750 1446284011200 1635678346000 1717462263300 1807855014000 1831959747520 1962814015200 2146827829125 2289949684400 2410473352000 2453517519000 2747939621280 2862437105500 3271356692000 3434924526600 3615710028000 3925628030400 4293655658250 4579899368800 4907035038000 5495879242560 5724874211000 6542713384000 6869849053200 7231420056000 8587311316500 9159798737600 9814070076000 11449748422000 13739698106400 17174622633000 19628140152000 22899496844000 27479396212800 34349245266000 45798993688000 68698490532000 137396981064000
- Sum of all divisors σ(n): 551885607936000
- Sum of proper divisors (its aliquot sum) s(n): 414488626872000
- 137396981064000 is an abundant number, because the sum of its proper divisors (414488626872000) is greater than itself. Its abundance is 277091645808000
Bases of 137396981064000
- Binary: 111110011110110001110100011111111100001010000002
- Hexadecimal: 0x7CF63A3FE140
- Base-36: 1CPBAV1GLC
Squares and roots of 137396981064000
- 137396981064000 squared (1373969810640002) is 18877930405501174572096000000
- 137396981064000 cubed (1373969810640003) is 2593770646452154724112032414790144000000000
-
The
square root of 137396981064000 is 11721645.8342674729 -
The
cube root of 137396981064000 is 51601.1123220349
Scales and comparisons
How big is 137396981064000?- 137,396,981,064,000 seconds is equal to 4,368,799 years, 9 hours, 20 minutes.
-
To count from 1 to 137,396,981,064,000 would take you about ten million, nine hundred twenty-one thousand, nine hundred ninety-seven 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 137396981064000 cubic inches would be around 4300.1 feet tall.
Recreational maths with 137396981064000
- 137396981064000 backwards is 000460189693731
- 137396981064000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137396981064000's digits is 57
- More coming soon!
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"Number 137396981064000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
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The information we have on file for 137396981064000 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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