137004627968000
137,004,627,968,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 137004627968000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1080 divisors.
137004627968000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 137004627968000:
214 × 53 × 132 × 31 × 1132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 31 × 113 × 113)See below for interesting mathematical facts about the number 137004627968000 from the Numbermatics database.
Names of 137004627968000
- Cardinal: 137004627968000 can be written as One hundred thirty-seven trillion, four billion, six hundred twenty-seven million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.37004627968 × 1014
Factors of 137004627968000
Divisors of 137004627968000
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 31 32 40 50 52 62 64 65 80 100 104 113 124 125 128 130 155 160 169 200 208 226 248 250 256 260 310 320 325 338 400 403 416 452 496 500 512 520 565 620 640 650 676 775 800 806 832 845 904 992 1000 1024 1040 1130 1240 1280 1300 1352 1469 1550 1600 1612 1625 1664 1690 1808 1984 2000 2015 2048 2080 2260 2480 2560 2600 2704 2825 2938 3100 3200 3224 3250 3328 3380 3503 3616 3875 3968 4000 4030 4096 4160 4225 4520 4960 5120 5200 5239 5408 5650 5876 6200 6400 6448 6500 6656 6760 7006 7232 7345 7750 7936 8000 8060 8192 8320 8450 9040 9920 10075 10240 10400 10478 10816 11300 11752 12400 12769 12800 12896 13000 13312 13520 14012 14125 14464 14690 15500 15872 16000 16120 16384 16640 16900 17515 18080 19097 19840 20150 20480 20800 20956 21125 21632 22600 23504 24800 25538 25600 25792 26000 26195 26624 27040 28024 28250 28928 29380 31000 31744 32000 32240 33280 33800 35030 36160 36725 38194 39680 40300 40960 41600 41912 42250 43264 45200 45539 47008 49600 50375 51076 51200 51584 52000 52390 53248 54080 56048 56500 57856 58760 62000 63488 63845 64000 64480 66560 67600 70060 72320 73450 76388 79360 80600 81920 83200 83824 84500 86528 87575 90400 91078 94016 95485 99200 100750 102152 102400 103168 104000 104780 106496 108160 112096 113000 115712 117520 124000 126976 127690 128000 128960 130975 133120 135200 140120 144640 146900 152776 158720 161200 165997 166400 167648 169000 173056 175150 180800 182156 183625 188032 190970 198400 201500 204304 204800 206336 208000 209560 212992 216320 224192 226000 227695 231424 235040 248000 253952 255380 256000 257920 261950 266240 270400 280240 289280 293800 305552 317440 319225 322400 331994 332800 335296 338000 346112 350300 361600 364312 367250 376064 381940 395839 396800 403000 408608 409600 412672 416000 419120 432640 437875 448384 452000 455390 462848 470080 477425 496000 507904 510760 512000 515840 523900 532480 540800 560480 578560 587600 592007 611104 634880 638450 644800 654875 663988 665600 670592 676000 692224 700600 723200 728624 734500 752128 763880 791678 793600 806000 817216 825344 829985 832000 838240 865280 875750 896768 904000 910780 925696 940160 954850 992000 1021520 1024000 1031680 1047800 1064960 1081600 1120960 1138475 1157120 1175200 1184014 1222208 1269760 1276900 1289600 1309750 1327976 1331200 1341184 1352000 1384448 1401200 1446400 1457248 1469000 1504256 1527760 1583356 1587200 1596125 1612000 1634432 1650688 1659970 1664000 1676480 1730560 1751500 1793536 1808000 1821560 1851392 1880320 1909700 1979195 1984000 2043040 2048000 2063360 2095600 2157961 2163200 2241920 2276950 2314240 2350400 2368028 2387125 2444416 2539520 2553800 2579200 2619500 2655952 2662400 2682368 2704000 2768896 2802400 2892800 2914496 2938000 2960035 3008512 3055520 3166712 3174400 3192250 3224000 3268864 3301376 3319940 3328000 3352960 3461120 3503000 3587072 3616000 3643120 3760640 3819400 3958390 3968000 4086080 4126720 4149925 4191200 4315922 4326400 4483840 4553900 4628480 4700800 4736056 4774250 4888832 5107600 5145907 5158400 5239000 5311904 5324800 5364736 5408000 5604800 5692375 5785600 5828992 5876000 5920070 6017024 6111040 6333424 6348800 6384500 6448000 6537728 6602752 6639880 6656000 6705920 6922240 7006000 7174144 7232000 7286240 7521280 7638800 7916780 7936000 8172160 8253440 8299850 8382400 8631844 8652800 8967680 9107800 9256960 9401600 9472112 9548500 9777664 9895975 10215200 10291814 10316800 10478000 10623808 10729472 10789805 10816000 11209600 11384750 11571200 11657984 11752000 11840140 12034048 12222080 12666848 12697600 12769000 12896000 13075456 13279760 13312000 13411840 13844480 14012000 14348288 14464000 14572480 14800175 15042560 15277600 15833560 15872000 16344320 16506880 16599700 16764800 17263688 17305600 17935360 18215600 18803200 18944224 19097000 19555328 19791950 20430400 20583628 20633600 20749625 20956000 21247616 21458944 21579610 21632000 22419200 22769500 23142400 23315968 23504000 23680280 24068096 24444160 25333696 25538000 25729535 25792000 26150912 26559520 26624000 26823680 28024000 28696576 28928000 29144960 29600350 30085120 30555200 31667120 31744000 32688640 33013760 33199400 33529600 34527376 34611200 35870720 36431200 37606400 37888448 38194000 39110656 39583900 40860800 41167256 41267200 41499250 41912000 42495232 42917888 43159220 43264000 44838400 45539000 46284800 46631936 47008000 47360560 48888320 49479875 50667392 51076000 51459070 51584000 52301824 53119040 53647360 53949025 56048000 57393152 57856000 58289920 59200700 60170240 61110400 63334240 63488000 65377280 66398800 66896791 67059200 69054752 69222400 71741440 72862400 74000875 75212800 75776896 76388000 78221312 79167800 81721600 82334512 82534400 82998500 83824000 84990464 85835776 86318440 86528000 89676800 91078000 93263872 94016000 94721120 97776640 98959750 101334784 102152000 102918140 103168000 104603648 106238080 107294720 107898050 112096000 115712000 116579840 118401400 120340480 122220800 126668480 128647675 130754560 132797600 133793582 134118400 138109504 143482880 145724800 148001750 150425600 151553792 152776000 156442624 158335600 163443200 164669024 165068800 165997000 167648000 169980928 172636880 173056000 179353600 182156000 186527744 188032000 189442240 195553280 197919500 202669568 204304000 205836280 206336000 209207296 212476160 214589440 215796100 224192000 231424000 233159680 236802800 244441600 253336960 257295350 261509120 265595200 267587164 268236800 269745125 276219008 286965760 291449600 296003500 300851200 303107584 305552000 312885248 316671200 326886400 329338048 331994000 334483955 335296000 339961856 345273760 346112000 358707200 364312000 373055488 376064000 378884480 391106560 395839000 405339136 408608000 411672560 412672000 424952320 429178880 431592200 448384000 466319360 473605600 488883200 506673920 514590700 523018240 531190400 535174328 536473600 539490250 552438016 582899200 592007000 601702400 606215168 611104000 633342400 643238375 653772800 658676096 663988000 668967910 670592000 679923712 690547520 717414400 728624000 746110976 752128000 757768960 782213120 791678000 810678272 817216000 823345120 825344000 849904640 863184400 896768000 932638720 947211200 977766400 1013347840 1029181400 1046036480 1062380800 1070348656 1072947200 1078980500 1104876032 1165798400 1184014000 1212430336 1222208000 1266684800 1286476750 1307545600 1317352192 1327976000 1337935820 1341184000 1359847424 1381095040 1434828800 1457248000 1504256000 1515537920 1564426240 1583356000 1621356544 1634432000 1646690240 1672419775 1699809280 1726368800 1793536000 1865277440 1894422400 1955532800 2026695680 2058362800 2124761600 2140697312 2145894400 2157961000 2209752064 2331596800 2368028000 2424860672 2444416000 2533369600 2572953500 2615091200 2634704384 2655952000 2675871640 2682368000 2719694848 2762190080 2914496000 3008512000 3031075840 3166712000 3242713088 3268864000 3293380480 3344839550 3399618560 3452737600 3587072000 3730554880 3788844800 3911065600 4053391360 4116725600 4249523200 4281394624 4315922000 4419504128 4663193600 4736056000 4849721344 4888832000 5066739200 5145907000 5230182400 5269408768 5311904000 5351743280 5364736000 5524380160 5828992000 6062151680 6333424000 6485426176 6537728000 6586760960 6689679100 6799237120 6905475200 7174144000 7577689600 7822131200 8106782720 8233451200 8362098875 8499046400 8562789248 8631844000 8839008256 9326387200 9472112000 9699442688 9777664000 10133478400 10291814000 10538817536 10623808000 10703486560 10729472000 11048760320 11657984000 12124303360 12666848000 13075456000 13173521920 13379358200 13598474240 13810950400 15155379200 16213565440 16466902400 16724197750 16998092800 17125578496 17263688000 17678016512 18652774400 18944224000 19555328000 20266956800 20583628000 21077635072 21247616000 21406973120 22097520640 23315968000 24248606720 25333696000 26150912000 26347043840 26758716400 27621900800 30310758400 32427130880 32933804800 33448395500 33996185600 34251156992 34527376000 35356033024 37888448000 39110656000 40533913600 41167256000 42155270144 42495232000 42813946240 44195041280 46631936000 48497213440 50667392000 52694087680 53517432800 55243801600 60621516800 65867609600 66896791000 67992371200 68502313984 69054752000 75776896000 81067827200 82334512000 84310540288 84990464000 85627892480 88390082560 93263872000 101334784000 105388175360 107034865600 110487603200 121243033600 131735219200 133793582000 137004627968 138109504000 151553792000 162135654400 164669024000 169980928000 171255784960 176780165120 202669568000 210776350720 214069731200 220975206400 242486067200 263470438400 267587164000 274009255936 276219008000 303107584000 329338048000 339961856000 342511569920 405339136000 421552701440 428139462400 441950412800 526940876800 535174328000 548018511872 552438016000 606215168000 658676096000 685023139840 810678272000 856278924800 883900825600 1053881753600 1070348656000 1096037023744 1104876032000 1212430336000 1317352192000 1370046279680 1712557849600 2107763507200 2140697312000 2209752064000 2634704384000 2740092559360 3425115699200 4281394624000 4419504128000 5269408768000 5480185118720 6850231398400 8562789248000 10538817536000 13700462796800 17125578496000 27400925593600 34251156992000 68502313984000 137004627968000
- Sum of all divisors σ(n): 385637584864896
- Sum of proper divisors (its aliquot sum) s(n): 248632956896896
- 137004627968000 is an abundant number, because the sum of its proper divisors (248632956896896) is greater than itself. Its abundance is 111628328928896
Bases of 137004627968000
- Binary: 111110010011010111000000010111011000000000000002
- Hexadecimal: 0x7C9AE02EC000
- Base-36: 1CKB224Y68
Squares and roots of 137004627968000
- 137004627968000 squared (1370046279680002) is 18770268084650087809024000000
- 137004627968000 cubed (1370046279680003) is 2571613595797109211733865353183232000000000
-
The
square root of 137004627968000 is 11704897.6060450867 -
The
cube root of 137004627968000 is 51551.9478301643
Scales and comparisons
How big is 137004627968000?- 137,004,627,968,000 seconds is equal to 4,356,323 years, 20 weeks, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 137,004,627,968,000 would take you about ten million, eight hundred ninety thousand, eight hundred 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 137004627968000 cubic inches would be around 4296 feet tall.
Recreational maths with 137004627968000
- 137004627968000 backwards is 000869726400731
- The number of decimal digits it has is: 15
- The sum of 137004627968000's digits is 53
- More coming soon!
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The information we have on file for 137004627968000 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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