20137166990400
20,137,166,990,400 is an even composite number composed of six prime numbers multiplied together.
20137166990400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred fifty-six divisors.
Prime factorization of 20137166990400:
26 × 3 × 52 × 412 × 67 × 1932
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 41 × 41 × 67 × 193 × 193)See below for interesting mathematical facts about the number 20137166990400 from the Numbermatics database.
Names of 20137166990400
- Cardinal: 20137166990400 can be written as Twenty trillion, one hundred thirty-seven billion, one hundred sixty-six million, nine hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 2.01371669904 × 1013
Factors of 20137166990400
Divisors of 20137166990400
- Number of divisors d(n): 756
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 41 48 50 60 64 67 75 80 82 96 100 120 123 134 150 160 164 192 193 200 201 205 240 246 268 300 320 328 335 386 400 402 410 480 492 536 579 600 615 656 670 772 800 804 820 960 965 984 1005 1025 1072 1158 1200 1230 1312 1340 1544 1600 1608 1640 1675 1681 1930 1968 2010 2050 2144 2316 2400 2460 2624 2680 2747 2895 3075 3088 3216 3280 3350 3362 3860 3936 4020 4100 4288 4632 4800 4825 4920 5025 5043 5360 5494 5790 6150 6176 6432 6560 6700 6724 7720 7872 7913 8040 8200 8241 8405 9264 9650 9840 10050 10086 10720 10988 11580 12300 12352 12864 12931 13120 13400 13448 13735 14475 15440 15826 16080 16400 16482 16810 18528 19300 19680 20100 20172 21440 21976 23160 23739 24600 25215 25862 26800 26896 27470 28950 30880 31652 32160 32800 32964 33620 37056 37249 38600 38793 39360 39565 40200 40344 41205 42025 43952 46320 47478 49200 50430 51724 53600 53792 54940 57900 61760 63304 64320 64655 65600 65928 67240 68675 74498 77200 77586 79130 80400 80688 82410 84050 87904 92640 94956 98400 100860 103448 107200 107584 109880 111747 112627 115800 118695 126075 126608 129310 131856 134480 137350 148996 154400 155172 158260 160800 161376 164820 168100 175808 185280 186245 189912 193965 196800 197825 201720 206025 206896 219760 223494 225254 231600 237390 252150 253216 258620 263712 268960 274700 297992 308800 310344 316520 321600 322752 323275 324433 329640 336200 337881 372490 379824 387930 395650 403440 412050 413792 439520 446988 450508 463200 474780 504300 506432 517240 527424 530171 537920 549400 558735 563135 593475 595984 620688 633040 646550 648866 659280 672400 675762 744980 759648 775860 791300 806880 824100 827584 879040 893976 901016 926400 931225 949560 969825 973299 1008600 1034480 1060342 1098800 1117470 1126270 1186950 1191968 1241376 1266080 1293100 1297732 1318560 1344800 1351524 1489960 1519296 1527209 1551720 1582600 1590513 1613760 1622165 1648200 1689405 1787952 1802032 1862450 1899120 1939650 1946598 2017200 2068960 2120684 2197600 2234940 2252540 2373900 2383936 2482752 2495683 2532160 2586200 2595464 2637120 2650855 2689600 2703048 2793675 2815675 2979920 3054418 3103440 3165200 3181026 3244330 3296400 3378810 3575904 3604064 3724900 3798240 3879300 3893196 4034400 4137920 4241368 4395200 4469880 4505080 4581627 4747800 4866495 4991366 5172400 5190928 5301710 5406096 5587350 5631350 5959840 6108836 6206880 6330400 6362052 6488660 6592800 6757620 7151808 7208128 7449800 7487049 7596480 7636045 7758600 7786392 7952565 8068800 8110825 8447025 8482736 8939760 9010160 9163254 9495600 9732990 9982732 10344800 10381856 10603420 10812192 11174700 11262700 11919680 12217672 12413760 12478415 12660800 12724104 12977320 13185600 13254275 13515240 14899600 14974098 15272090 15517200 15572784 15905130 16221650 16894050 16965472 17879520 18020320 18326508 18991200 19465980 19965464 20689600 20763712 21206840 21624384 21737011 22349400 22525400 22908135 24332475 24435344 24956830 25448208 25954640 26508550 27030480 29799200 29948196 30544180 31034400 31145568 31810260 32443300 33788100 33930944 35759040 36040640 36653016 37435245 37982400 38180225 38931960 39762825 39930928 42413680 43474022 44698800 45050800 45816270 48664950 48870688 49913660 50896416 51909280 53017100 54060960 59598400 59896392 61088360 62068800 62291136 62392075 62615569 63620520 64886600 65211033 67576200 73306032 74870490 76360450 77863920 79525650 79861856 84827360 86948044 89397600 90101600 91632540 97329900 97741376 99827320 101792832 102323003 103818560 106034200 108121920 108685055 114540675 119792784 122176720 124784150 125231138 127241040 129773200 130422066 135152400 146612064 149740980 152720900 155727840 159051300 159723712 169654720 173896088 178795200 180203200 183265080 187176225 187846707 194659800 199654640 204646006 212068400 217370110 229081350 239585568 244353440 249568300 250462276 254482080 259546400 260844132 270304800 293224128 299481960 305441800 306969009 311455680 313077845 318102600 326055165 347792176 366530160 374352450 375693414 389319600 399309280 409292012 424136800 434740220 458162700 479171136 488706880 499136600 500924552 508964160 511615015 519092800 521688264 540609600 543425275 598963920 610883600 613938018 626155690 636205200 652110330 695584352 733060320 748704900 751386828 778639200 798618560 818584024 848273600 869480440 916325400 939233535 998273200 1001849104 1023230030 1043376528 1086850550 1197927840 1221767200 1227876036 1252311380 1272410400 1304220660 1391168704 1466120640 1497409800 1502773656 1534845045 1557278400 1565389225 1630275825 1637168048 1738960880 1832650800 1878467070 1996546400 2003698208 2046460060 2086753056 2173701100 2395855680 2443534400 2455752072 2504622760 2544820800 2558075075 2608441320 2994819600 3005547312 3069690090 3130778450 3260551650 3274336096 3477921760 3665301600 3756934140 3993092800 4007396416 4092920120 4173506112 4195243123 4347402200 4696167675 4911504144 5009245520 5116150150 5216882640 5989639200 6011094624 6139380180 6261556900 6521103300 6548672192 6955843520 7330603200 7513868280 7674225225 8185840240 8390486246 8694804400 9392335350 9823008288 10018491040 10232300300 10433765280 11979278400 12022189248 12278760360 12523113800 12585729369 13042206600 15027736560 15348450450 16371680480 16780972492 17389608800 18784670700 19646016576 20036982080 20464600600 20867530560 20976215615 24557520720 25046227600 25171458738 26084413200 30055473120 30696900900 32743360960 33561944984 34779217600 37569341400 40929201200 41952431230 49115041440 50092455200 50342917476 52168826400 60110946240 61393801800 62928646845 67123889968 75138682800 81858402400 83904862460 98230082880 100184910400 100685834952 104337652800 104881078075 122787603600 125857293690 134247779936 150277365600 163716804800 167809724920 201371669904 209762156150 245575207200 251714587380 268495559872 300554731200 314643234225 335619449840 402743339808 419524312300 491150414400 503429174760 629286468450 671238899680 805486679616 839048624600 1006858349520 1258572936900 1342477799360 1678097249200 2013716699040 2517145873800 3356194498400 4027433398080 5034291747600 6712388996800 10068583495200 20137166990400
- Sum of all divisors σ(n): 69086029575696
- Sum of proper divisors (its aliquot sum) s(n): 48948862585296
- 20137166990400 is an abundant number, because the sum of its proper divisors (48948862585296) is greater than itself. Its abundance is 28811695594896
Bases of 20137166990400
- Binary: 1001001010000100011001010111101101100010000002
- Hexadecimal: 0x12508CAF6C40
- Base-36: 74YVXASLC
Squares and roots of 20137166990400
- 20137166990400 squared (201371669904002) is 405505494399255393692160000
- 20137166990400 cubed (201371669904003) is 8165731856242517792196920731275264000000
-
The
square root of 20137166990400 is 4487445.4860644269 -
The
cube root of 20137166990400 is 27206.0895888273
Scales and comparisons
How big is 20137166990400?- 20,137,166,990,400 seconds is equal to 640,299 years, 32 weeks, 2 days, 9 hours, 20 minutes.
-
To count from 1 to 20,137,166,990,400 would take you about one million, six hundred thousand, seven hundred forty-nine 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 20137166990400 cubic inches would be around 2267.2 feet tall.
Recreational maths with 20137166990400
- 20137166990400 backwards is 00409966173102
- 20137166990400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 20137166990400's digits is 48
- More coming soon!
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The information we have on file for 20137166990400 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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