137312921088000
137,312,921,088,000 is an even composite number composed of five prime numbers multiplied together.
137312921088000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, one hundred twenty divisors.
Prime factorization of 137312921088000:
212 × 34 × 53 × 75 × 197
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 197)See below for interesting mathematical facts about the number 137312921088000 from the Numbermatics database.
Names of 137312921088000
- Cardinal: 137312921088000 can be written as One hundred thirty-seven trillion, three hundred twelve billion, nine hundred twenty-one million, eighty-eight thousand.
Scientific notation
- Scientific notation: 1.37312921088 × 1014
Factors of 137312921088000
Divisors of 137312921088000
- Number of divisors d(n): 3120
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 80 81 84 90 96 98 100 105 108 112 120 125 126 128 135 140 144 147 150 160 162 168 175 180 189 192 196 197 200 210 216 224 225 240 245 250 252 256 270 280 288 294 300 315 320 324 336 343 350 360 375 378 384 392 394 400 405 420 432 441 448 450 480 490 500 504 512 525 540 560 567 576 588 591 600 630 640 648 672 675 686 700 720 735 750 756 768 784 788 800 810 840 864 875 882 896 900 945 960 980 985 1000 1008 1024 1029 1050 1080 1120 1125 1134 1152 1176 1182 1200 1225 1260 1280 1296 1323 1344 1350 1372 1379 1400 1440 1470 1500 1512 1536 1568 1575 1576 1600 1620 1680 1715 1728 1750 1764 1773 1792 1800 1890 1920 1960 1970 2000 2016 2025 2048 2058 2100 2160 2205 2240 2250 2268 2304 2352 2364 2400 2401 2450 2520 2560 2592 2625 2646 2688 2700 2744 2758 2800 2835 2880 2940 2955 3000 3024 3072 3087 3136 3150 3152 3200 3240 3360 3375 3430 3456 3500 3528 3546 3584 3600 3675 3780 3840 3920 3940 3969 4000 4032 4050 4096 4116 4137 4200 4320 4410 4480 4500 4536 4608 4704 4725 4728 4800 4802 4900 4925 5040 5120 5145 5184 5250 5292 5319 5376 5400 5488 5516 5600 5670 5760 5880 5910 6000 6048 6125 6144 6174 6272 6300 6304 6400 6480 6615 6720 6750 6860 6895 6912 7000 7056 7092 7168 7200 7203 7350 7560 7680 7840 7875 7880 7938 8000 8064 8100 8232 8274 8400 8575 8640 8820 8865 8960 9000 9072 9216 9261 9408 9450 9456 9600 9604 9653 9800 9850 10080 10125 10240 10290 10368 10500 10584 10638 10752 10800 10976 11025 11032 11200 11340 11520 11760 11820 12000 12005 12096 12250 12288 12348 12411 12544 12600 12608 12800 12960 13230 13440 13500 13720 13790 13824 14000 14112 14175 14184 14336 14400 14406 14700 14775 15120 15360 15435 15680 15750 15760 15876 15957 16000 16128 16200 16464 16548 16800 16807 17150 17280 17640 17730 17920 18000 18144 18375 18432 18522 18816 18900 18912 19200 19208 19306 19600 19700 19845 20160 20250 20480 20580 20685 20736 21000 21168 21276 21504 21600 21609 21952 22050 22064 22400 22680 23040 23520 23625 23640 24000 24010 24192 24500 24625 24696 24822 25088 25200 25216 25600 25725 25920 26460 26595 26880 27000 27440 27580 27648 27783 28000 28224 28350 28368 28672 28800 28812 28959 29400 29550 30240 30720 30870 31360 31500 31520 31752 31914 32000 32256 32400 32928 33075 33096 33600 33614 34300 34475 34560 35280 35460 35840 36000 36015 36288 36750 36864 37044 37233 37632 37800 37824 38400 38416 38612 39200 39400 39690 40320 40500 41160 41370 41472 42000 42336 42552 42875 43008 43200 43218 43904 44100 44128 44325 44800 45360 46080 46305 47040 47250 47280 48000 48020 48265 48384 49000 49250 49392 49644 50176 50400 50421 50432 51200 51450 51840 52920 53190 53760 54000 54880 55125 55160 55296 55566 56000 56448 56700 56736 57600 57624 57918 58800 59100 60025 60480 61440 61740 62055 62720 63000 63040 63504 63828 64000 64512 64800 64827 65856 66150 66192 67200 67228 67571 68600 68950 69120 70560 70875 70920 71680 72000 72030 72576 73500 73875 74088 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4238053120 4256973000 4291028784 4302592000 4324544000 4356374400 4359140352 4378600800 4448102400 4469821650 4540771200 4646799360 4670507520 4741632000 4765824000 4767809760 4789094625 4840416000 4843489280 4865112000 4904032896 4942336000 4966468500 4978713600 5004115200 5085663744 5108367600 5163110400 5189452800 5297566400 5337722880 5363785980 5445468000 5448925440 5473251000 5531904000 5560128000 5576159232 5604609024 5675964000 5718988800 5721371712 5808499200 5812187136 5838134400 5959762200 6054361600 6130041120 6223392000 6227343360 6255144000 6354432000 6357079680 6385459500 6453888000 6486816000 6538710528 6621958000 6638284800 6672153600 6704732475 6780884992 6811156800 6919270400 6970199040 7005761280 7112448000 7148736000 7151714640 7260624000 7265233920 7297668000 7413504000 7449702750 7472812032 7567952000 7628495616 7662551400 7744665600 7784179200 7946349600 8006584320 8169984000 8173388160 8297856000 8340192000 8476106240 8513946000 8582057568 8605184000 8649088000 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19361664000 19460448000 19616131584 19865874000 19914854400 20016460800 20342654976 20433470400 20757811200 21190265600 21455143920 21781872000 21795701760 21893004000 22240512000 22349108250 22418436096 22703856000 22885486848 23233996800 23352537600 23839048800 24217446400 24520164480 24893568000 25020576000 25428318720 25541838000 25815552000 25947264000 26154842112 26487832000 26688614400 26818929900 27244627200 27880796160 28023045120 28594944000 28606858560 29042496000 29060935680 29190672000 29798811000 30271808000 30513982464 30650205600 31136716800 31785398400 32693552640 33191424000 33360768000 33523662375 33904424960 34055784000 34328230272 34596352000 34850995200 35028806400 35758573200 36326169600 37364060160 38142478080 38312757000 38723328000 38920896000 39232263168 39731748000 40032921600 40685309952 40866940800 42380531200 42910287840 43563744000 43591403520 43786008000 44481024000 44698216500 45407712000 45770973696 46467993600 46705075200 47678097600 48434892800 49040328960 49787136000 50041152000 50856637440 51083676000 51894528000 52309684224 52975664000 53637859800 54489254400 56046090240 57189888000 57213717120 58084992000 58381344000 59597622000 60543616000 61027964928 61300411200 62273433600 63570796800 65387105280 66721536000 67047324750 67808849920 68111568000 68656460544 69701990400 70057612800 71517146400 72652339200 76284956160 76625514000 77446656000 77841792000 78464526336 79463496000 80065843200 81733881600 84761062400 85820575680 87127488000 87182807040 87572016000 89396433000 90815424000 91541947392 93410150400 95356195200 98080657920 99574272000 100082304000 101713274880 102167352000 103789056000 105951328000 107275719600 108978508800 112092180480 114427434240 116169984000 116762688000 119195244000 121087232000 122055929856 122600822400 127141593600 130774210560 133443072000 134094649500 136223136000 137312921088 139403980800 140115225600 143034292800 145304678400 152569912320 153251028000 155683584000 156929052672 158926992000 163467763200 169522124800 171641151360 174254976000 175144032000 178792866000 181630848000 183083894784 186820300800 190712390400 196161315840 200164608000 203426549760 204334704000 211902656000 214551439200 217957017600 228854868480 232339968000 233525376000 238390488000 242174464000 245201644800 254283187200 261548421120 268189299000 272446272000 274625842176 280230451200 286068585600 305139824640 306502056000 311367168000 317853984000 326935526400 339044249600 343282302720 348509952000 350288064000 357585732000 363261696000 366167789568 381424780800 392322631680 400329216000 408669408000 423805312000 429102878400 435914035200 457709736960 467050752000 476780976000 490403289600 508566374400 536378598000 544892544000 549251684352 560460902400 572137171200 610279649280 613004112000 635707968000 653871052800 686564605440 697019904000 700576128000 715171464000 726523392000 762849561600 784645263360 817338816000 847610624000 858205756800 915419473920 934101504000 953561952000 980806579200 1017132748800 1072757196000 1089785088000 1098503368704 1144274342400 1226008224000 1271415936000 1307742105600 1373129210880 1401152256000 1430342928000 1525699123200 1634677632000 1695221248000 1716411513600 1830838947840 1907123904000 1961613158400 2145514392000 2179570176000 2288548684800 2452016448000 2542831872000 2746258421760 2802304512000 2860685856000 3051398246400 3269355264000 3432823027200 3814247808000 3923226316800 4291028784000 4577097369600 4904032896000 5085663744000 5492516843520 5721371712000 6538710528000 6865646054400 7628495616000 8582057568000 9154194739200 9808065792000 11442743424000 13731292108800 15256991232000 17164115136000 19616131584000 22885486848000 27462584217600 34328230272000 45770973696000 68656460544000 137312921088000
- Sum of all divisors σ(n): 600268264225344
- Sum of proper divisors (its aliquot sum) s(n): 462955343137344
- 137312921088000 is an abundant number, because the sum of its proper divisors (462955343137344) is greater than itself. Its abundance is 325642422049344
Bases of 137312921088000
- Binary: 111110011100010101001111110001001110000000000002
- Hexadecimal: 0x7CE2A7E27000
- Base-36: 1CO8ONWG00
Squares and roots of 137312921088000
- 137312921088000 squared (1373129210880002) is 18854838297719315103744000000
- 137312921088000 cubed (1373129210880003) is 2589012923301732565213806405353472000000000
-
The
square root of 137312921088000 is 11718059.6127515925 -
The
cube root of 137312921088000 is 51590.5869254439
Scales and comparisons
How big is 137312921088000?- 137,312,921,088,000 seconds is equal to 4,366,126 years, 8 weeks.
-
To count from 1 to 137,312,921,088,000 would take you about ten million, nine hundred fifteen thousand, three hundred fifteen 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 137312921088000 cubic inches would be around 4299.2 feet tall.
Recreational maths with 137312921088000
- 137312921088000 backwards is 000880129213731
- 137312921088000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137312921088000's digits is 45
- More coming soon!
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"Number 137312921088000 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
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Numbermatics. (2024). Number 137312921088000 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/137312921088000/
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The information we have on file for 137312921088000 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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