137953145088000
137,953,145,088,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 137953145088000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1728 divisors.
137953145088000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 137953145088000:
211 × 35 × 53 × 11 × 4492
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 449 × 449)See below for interesting mathematical facts about the number 137953145088000 from the Numbermatics database.
Names of 137953145088000
- Cardinal: 137953145088000 can be written as One hundred thirty-seven trillion, nine hundred fifty-three billion, one hundred forty-five million, eighty-eight thousand.
Scientific notation
- Scientific notation: 1.37953145088 × 1014
Factors of 137953145088000
Divisors of 137953145088000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 81 88 90 96 99 100 108 110 120 125 128 132 135 144 150 160 162 165 176 180 192 198 200 216 220 225 240 243 250 256 264 270 275 288 297 300 320 324 330 352 360 375 384 396 400 405 432 440 449 450 480 486 495 500 512 528 540 550 576 594 600 640 648 660 675 704 720 750 768 792 800 810 825 864 880 891 898 900 960 972 990 1000 1024 1056 1080 1100 1125 1152 1188 1200 1215 1280 1296 1320 1347 1350 1375 1408 1440 1485 1500 1536 1584 1600 1620 1650 1728 1760 1782 1796 1800 1920 1944 1980 2000 2025 2048 2112 2160 2200 2245 2250 2304 2376 2400 2430 2475 2560 2592 2640 2673 2694 2700 2750 2816 2880 2970 3000 3072 3168 3200 3240 3300 3375 3456 3520 3564 3592 3600 3840 3888 3960 4000 4041 4050 4125 4224 4320 4400 4455 4490 4500 4608 4752 4800 4860 4939 4950 5120 5184 5280 5346 5388 5400 5500 5632 5760 5940 6000 6075 6144 6336 6400 6480 6600 6735 6750 6912 7040 7128 7184 7200 7425 7680 7776 7920 8000 8082 8100 8250 8448 8640 8800 8910 8980 9000 9216 9504 9600 9720 9878 9900 10125 10240 10368 10560 10692 10776 10800 11000 11225 11264 11520 11880 12000 12123 12150 12375 12672 12800 12960 13200 13365 13470 13500 13824 14080 14256 14368 14400 14817 14850 15360 15552 15840 16000 16164 16200 16500 16896 17280 17600 17820 17960 18000 18432 19008 19200 19440 19756 19800 20205 20250 20736 21120 21384 21552 21600 22000 22275 22450 22528 23040 23760 24000 24246 24300 24695 24750 25344 25600 25920 26400 26730 26940 27000 27648 28160 28512 28736 28800 29634 29700 30375 30720 31104 31680 32000 32328 32400 33000 33675 33792 34560 35200 35640 35920 36000 36369 37125 38016 38400 38880 39512 39600 40410 40500 41472 42240 42768 43104 43200 44000 44451 44550 44900 46080 47520 48000 48492 48600 49390 49500 50688 51200 51840 52800 53460 53880 54000 55296 56125 56320 57024 57472 57600 59268 59400 60615 60750 62208 63360 64000 64656 64800 66000 66825 67350 67584 69120 70400 71280 71840 72000 72738 74085 74250 76032 76800 77760 79024 79200 80820 81000 82944 84480 85536 86208 86400 88000 88902 89100 89800 92160 95040 96000 96984 97200 98780 99000 101025 101376 103680 105600 106920 107760 108000 109107 111375 112250 112640 114048 114944 115200 118536 118800 121230 121500 123475 124416 126720 128000 129312 129600 132000 133353 133650 134700 138240 140800 142560 143680 144000 145476 148170 148500 152064 153600 155520 158048 158400 161640 162000 165888 168375 168960 171072 172416 172800 176000 177804 178200 179600 181845 190080 192000 193968 194400 197560 198000 201601 202050 202752 207360 211200 213840 215520 216000 218214 222255 222750 224500 228096 229888 230400 237072 237600 242460 243000 246950 248832 253440 256000 258624 259200 264000 266706 267300 269400 276480 281600 285120 287360 288000 290952 296340 297000 303075 304128 311040 316096 316800 323280 324000 334125 336750 337920 342144 344832 345600 352000 355608 356400 359200 363690 370425 380160 384000 387936 388800 395120 396000 400059 403202 404100 414720 422400 427680 431040 432000 436428 444510 445500 449000 456192 459776 460800 474144 475200 484920 486000 493900 497664 505125 506880 517248 518400 528000 533412 534600 538800 545535 563200 570240 574720 576000 581904 592680 594000 604803 606150 608256 617375 622080 632192 633600 646560 648000 666765 668250 673500 684288 689664 691200 704000 711216 712800 718400 727380 740850 760320 768000 775872 777600 790240 792000 800118 806404 808200 829440 844800 855360 862080 864000 872856 889020 891000 898000 909225 912384 919552 948288 950400 969840 972000 987800 1008005 1010250 1013760 1034496 1036800 1056000 1066824 1069200 1077600 1091070 1111275 1140480 1149440 1152000 1163808 1185360 1188000 1200177 1209606 1212300 1234750 1244160 1264384 1267200 1293120 1296000 1333530 1336500 1347000 1368576 1379328 1382400 1408000 1422432 1425600 1436800 1454760 1481700 1515375 1520640 1551744 1555200 1580480 1584000 1600236 1612808 1616400 1689600 1710720 1724160 1728000 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22176110 22225500 22758912 22809600 22988800 23276160 23707200 24003540 24192120 24246000 24827904 25200125 25287680 25344000 25603776 25804928 25862400 26611332 26670600 27216135 27276750 27371520 27931392 28448640 28512000 28736000 29030544 29095200 29634000 30004425 30240150 30345216 31034880 31104000 31609600 32004720 32256160 32328000 32659362 33264165 33338250 34138368 34214400 34483200 34914240 35481776 35560800 36288180 36369000 37241856 37931520 38016000 38405664 38707392 38793600 39512000 39916998 40005900 40320200 41379840 42672960 42768000 43104000 43545816 43642800 44352220 44451000 45360225 45517824 45619200 46552320 47414400 48007080 48384240 48492000 48989043 50007375 50400250 50575360 51207552 51609856 51724800 53222664 53341200 54432270 54553500 55440275 55862784 56897280 57024000 57472000 58061088 58190400 59268000 59875497 60008850 60480300 62069760 62208000 63219200 64009440 64512320 64656000 65318724 66528330 66676500 68276736 68428800 68966400 69828480 70963552 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653187240 665283300 680403375 682767360 684288000 696733056 698284800 709635520 711216000 718505964 725763600 758630400 768113280 774147840 775872000 783824688 798339960 800118000 806404000 816484050 819320832 831604125 851562624 853459200 870916320 872856000 887044400 898132455 907204500 928977408 931046400 948288000 958007952 960141600 967684800 979780860 997924950 1024151040 1032197120 1034496000 1045099584 1064453280 1066824000 1077758946 1088645400 1108805500 1117255680 1135416832 1137945600 1161221760 1163808000 1197509940 1200177000 1209606000 1224726075 1228981248 1238636544 1264384000 1277343936 1280188800 1290246400 1306374480 1330566600 1360806750 1365534720 1393466112 1396569600 1419271040 1422432000 1437011928 1451527200 1496887425 1536226560 1548295680 1551744000 1567649376 1596679920 1600236000 1612808000 1632968100 1663208250 1703125248 1706918400 1741832640 1745712000 1774088800 1796264910 1814409000 1857954816 1862092800 1896576000 1916015904 1920283200 1935369600 1959561720 1995849900 2041210125 2048302080 2064394240 2090199168 2128906560 2133648000 2155517892 2177290800 2217611000 2270833664 2275891200 2322443520 2327616000 2395019880 2400354000 2419212000 2449452150 2457962496 2494812375 2554687872 2560377600 2580492800 2612748960 2661133200 2694397365 2721613500 2786932224 2793139200 2838542080 2844864000 2874023856 2903054400 2993774850 3072453120 3096591360 3103488000 3135298752 3193359840 3200472000 3225616000 3265936200 3326416500 3406250496 3413836800 3483665280 3491424000 3548177600 3592529820 3628818000 3715909632 3793152000 3832031808 3840566400 3870739200 3919123440 3991699800 4082420250 4096604160 4180398336 4257813120 4267296000 4311035784 4354581600 4435222000 4490662275 4541667328 4644887040 4655232000 4790039760 4800708000 4838424000 4898904300 4989624750 5109375744 5120755200 5160985600 5225497920 5322266400 5388794730 5443227000 5573864448 5586278400 5677084160 5689728000 5748047712 5806108800 5987549700 6123630375 6144906240 6193182720 6270597504 6386719680 6400944000 6451232000 6531872400 6652833000 6812500992 6827673600 6967330560 6982848000 7096355200 7185059640 7257636000 7484437125 7664063616 7681132800 7741478400 7838246880 7983399600 8164840500 8360796672 8515626240 8534592000 8622071568 8709163200 8870444000 8981324550 9289774080 9310464000 9580079520 9601416000 9676848000 9797808600 9979249500 10218751488 10241510400 10321971200 10450995840 10644532800 10777589460 10886454000 11147728896 11354168320 11379456000 11496095424 11612217600 11975099400 12247260750 12289812480 12541195008 12773439360 12801888000 12902464000 13063744800 13305666000 13471986825 13625001984 13934661120 13965696000 14192710400 14370119280 14515272000 14968874250 15328127232 15362265600 15482956800 15676493760 15966799200 16329681000 16721593344 17031252480 17069184000 17244143136 17418326400 17740888000 17962649100 18579548160 19160159040 19202832000 19353696000 19595617200 19958499000 20437502976 20483020800 20901991680 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91968763392 92897740800 95800795200 97978086000 100329560064 102187514880 102415104000 104509958400 106445328000 107775894600 113541683200 114960954240 116122176000 119750994000 122625017856 125411950080 127734393600 130637448000 134719868250 137953145088 139346611200 141927104000 143701192800 153281272320 153622656000 154829568000 156764937600 159667992000 167215933440 170312524800 172441431360 174183264000 179626491000 183937526784 191601590400 195956172000 204375029760 209019916800 212890656000 215551789200 229921908480 232244352000 239501988000 250823900160 255468787200 261274896000 269439736500 275906290176 278693222400 283854208000 287402385600 306562544640 307245312000 313529875200 319335984000 340625049600 344882862720 348366528000 359252982000 367875053568 383203180800 391912344000 418039833600 425781312000 431103578400 459843816960 464488704000 479003976000 501647800320 510937574400 522549792000 538879473000 551812580352 567708416000 574804771200 613125089280 627059750400 638671968000 689765725440 696733056000 718505964000 766406361600 783824688000 836079667200 851562624000 862207156800 919687633920 958007952000 1021875148800 1045099584000 1077758946000 1103625160704 1149609542400 1254119500800 1277343936000 1379531450880 1393466112000 1437011928000 1532812723200 1567649376000 1703125248000 1724414313600 1839375267840 1916015904000 2090199168000 2155517892000 2299219084800 2508239001600 2554687872000 2759062901760 2874023856000 3065625446400 3135298752000 3448828627200 3832031808000 4180398336000 4311035784000 4598438169600 5109375744000 5518125803520 5748047712000 6270597504000 6897657254400 7664063616000 8622071568000 9196876339200 11496095424000 12541195008000 13795314508800 15328127232000 17244143136000 22992190848000 27590629017600 34488286272000 45984381696000 68976572544000 137953145088000
- Sum of all divisors σ(n): 563796192173760
- Sum of proper divisors (its aliquot sum) s(n): 425843047085760
- 137953145088000 is an abundant number, because the sum of its proper divisors (425843047085760) is greater than itself. Its abundance is 287889901997760
Bases of 137953145088000
- Binary: 111110101110111101110000011010101101000000000002
- Hexadecimal: 0x7D77B8356800
- Base-36: 1CWESSQO00
Squares and roots of 137953145088000
- 137953145088000 squared (1379531450880002) is 19031070239670778527744000000
- 137953145088000 cubed (1379531450880003) is 2625395993953221843591783065321472000000000
-
The
square root of 137953145088000 is 11745345.6776716453 -
The
cube root of 137953145088000 is 51670.6433168865
Scales and comparisons
How big is 137953145088000?- 137,953,145,088,000 seconds is equal to 4,386,483 years, 15 weeks, 3 days.
-
To count from 1 to 137,953,145,088,000 would take you about ten million, nine hundred sixty-six thousand, two 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 137953145088000 cubic inches would be around 4305.9 feet tall.
Recreational maths with 137953145088000
- 137953145088000 backwards is 000880541359731
- 137953145088000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137953145088000's digits is 54
- More coming soon!
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The information we have on file for 137953145088000 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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