138205614128400
138,205,614,128,400 is an even composite number composed of seven prime numbers multiplied together.
138205614128400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138205614128400:
24 × 33 × 52 × 7 × 13 × 73 × 1926361
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 73 × 1926361)See below for interesting mathematical facts about the number 138205614128400 from the Numbermatics database.
Names of 138205614128400
- Cardinal: 138205614128400 can be written as One hundred thirty-eight trillion, two hundred five billion, six hundred fourteen million, one hundred twenty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.382056141284 × 1014
Factors of 138205614128400
Divisors of 138205614128400
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 35 36 39 40 42 45 48 50 52 54 56 60 63 65 70 72 73 75 78 80 84 90 91 100 104 105 108 112 117 120 126 130 135 140 144 146 150 156 168 175 180 182 189 195 200 208 210 216 219 225 234 240 252 260 270 273 280 292 300 312 315 325 336 350 351 360 364 365 378 390 400 420 432 438 450 455 468 504 511 520 525 540 546 560 584 585 600 624 630 650 657 675 700 702 720 728 730 756 780 819 840 876 900 910 936 945 949 975 1008 1022 1040 1050 1080 1092 1095 1168 1170 1200 1260 1300 1314 1350 1365 1400 1404 1456 1460 1512 1533 1560 1575 1638 1680 1752 1755 1800 1820 1825 1872 1890 1898 1950 1971 2044 2100 2160 2184 2190 2275 2340 2457 2520 2555 2600 2628 2700 2730 2800 2808 2847 2920 2925 3024 3066 3120 3150 3276 3285 3504 3510 3600 3640 3650 3780 3796 3900 3942 4088 4095 4200 4368 4380 4550 4599 4680 4725 4745 4914 5040 5110 5200 5256 5400 5460 5475 5616 5694 5840 5850 6132 6300 6552 6570 6643 6825 7020 7280 7300 7560 7592 7665 7800 7884 8176 8190 8400 8541 8760 8775 9100 9198 9360 9450 9490 9828 9855 10220 10512 10800 10920 10950 11388 11700 12264 12285 12600 12775 13104 13140 13286 13650 13797 14040 14235 14600 15120 15184 15330 15600 15768 16380 16425 17082 17520 17550 18200 18396 18900 18980 19656 19710 19929 20440 20475 21840 21900 22776 22995 23400 23725 24528 24570 25200 25550 25623 26280 26572 27300 27594 28080 28470 29200 30660 31536 32760 32850 33215 34164 35100 36400 36792 37800 37960 38325 39312 39420 39858 40880 40950 42705 43800 45552 45990 46800 47450 49140 49275 51100 51246 52560 53144 54600 55188 56940 59787 61320 61425 65520 65700 66430 68328 68985 70200 71175 73584 75600 75920 76650 78840 79716 81900 85410 87600 91980 94900 98280 98550 99645 102200 102492 106288 109200 110376 113880 114975 119574 122640 122850 128115 131400 132860 136656 137970 140400 142350 153300 157680 159432 163800 166075 170820 179361 183960 189800 196560 197100 199290 204400 204984 213525 220752 227760 229950 239148 245700 256230 262800 265720 275940 284700 298935 306600 318864 327600 332150 341640 344925 358722 367920 379600 394200 398580 409968 427050 459900 478296 491400 498225 512460 531440 551880 569400 597870 613200 640575 664300 683280 689850 717444 788400 797160 854100 896805 919800 956592 982800 996450 1024920 1103760 1138800 1195740 1281150 1328600 1379700 1434888 1494675 1594320 1708200 1793610 1839600 1926361 1992900 2049840 2391480 2562300 2657200 2759400 2869776 2989350 3416400 3587220 3852722 3985800 4484025 4782960 5124600 5518800 5779083 5978700 7174440 7705444 7971600 8968050 9631805 10249200 11558166 11957400 13484527 14348880 15410888 17337249 17936100 19263610 23116332 23914800 25042693 26969054 28895415 30821776 34674498 35872200 38527220 40453581 46232664 48159025 50085386 52011747 53938108 57790830 67422635 69348996 71744400 75128079 77054440 80907162 86686245 92465328 96318050 100170772 104023494 107876216 115581660 121360743 125213465 134845270 138697992 140624353 144477075 150256158 154108880 161814324 173372490 175298851 192636100 200341544 202267905 208046988 215752432 225384237 231163320 242721486 250426930 260058735 269690540 277395984 281248706 288954150 300512316 323628648 337113175 346744980 350597702 364082229 375640395 385272200 400683088 404535810 416093976 421873059 433431225 450768474 462326640 485442972 500853860 520117470 525896553 539381080 562497412 577908300 601024632 606803715 626067325 647257296 674226350 676152711 693489960 701195404 703121765 728164458 751280790 770544400 809071620 832187952 843746118 866862450 876494255 901536948 970885944 984370471 1001707720 1011339525 1040234940 1051793106 1078762160 1124994824 1126921185 1155816600 1202049264 1213607430 1252134650 1265619177 1300293675 1348452700 1352305422 1386979920 1402390808 1406243530 1456328916 1502561580 1577689659 1618143240 1687492236 1733724900 1752988510 1803073896 1820411145 1828116589 1878201975 1941771888 1968740942 2003415440 2022679050 2080469880 2103586212 2109365295 2249989648 2253842370 2311633200 2427214860 2504269300 2531238354 2600587350 2629482765 2696905400 2704610844 2804781616 2812487060 2912657832 2953111413 3005123160 3034018575 3155379318 3236286480 3374984472 3380763555 3467449800 3505977020 3515608825 3606147792 3640822290 3656233178 3756403950 3796857531 3937481884 4045358100 4160939760 4207172424 4218730590 4382471275 4507684740 4733068977 4854429720 4921852355 5008538600 5062476708 5201174700 5258965530 5393810800 5409221688 5484349767 5624974120 5634605925 5825315664 5906222826 6010246320 6068037150 6310758636 6328095885 6749968944 6761527110 6934899600 7011954040 7031217650 7281644580 7312466356 7512807900 7593715062 7874963768 7888448295 8090716200 8414344848 8437461180 8764942550 8859334239 9015369480 9102055725 9140582945 9466137954 9708859440 9843704710 10017077200 10124953416 10402349400 10517931060 10546826475 10818443376 10968699534 11249948240 11269211850 11812445652 12136074300 12621517272 12656191770 12796816123 13147413825 13523054220 14023908080 14062435300 14563289160 14624932712 14765557065 15025615800 15187430124 15749927536 15776896590 16181432400 16453049301 16874922360 16903817775 17529885100 17718668478 18030738960 18204111450 18281165890 18932275908 18984287655 19687409420 20249906832 20804698800 21035862120 21093652950 21937399068 22538423700 23624891304 23665344885 24272148600 24609261775 25243034544 25312383540 25593632246 26294827650 26578002717 27046108440 27421748835 28124870600 29126578320 29249865424 29531114130 30051231600 30374860248 31553793180 31640479425 32906098602 33749844720 33807635550 35059770200 35437336956 36408222900 36562331780 37864551816 37968575310 38390448369 39374818840 39442241475 42071724240 42187305900 43874798136 44296671195 45076847400 45702914725 47249782608 47330689770 48544297200 49218523550 49359147903 50624767080 51187264492 52589655300 53156005434 54092216880 54843497670 56249741200 59062228260 60749720496 63107586360 63280958850 63984080615 65812197204 67615271100 70119540400 70874673912 72816445800 73124663560 73827785325 75729103632 75937150620 76780896738 78749637680 78884482950 82265246505 84374611800 87749596272 88593342390 90153694800 91405829450 94661379540 94921438275 98437047100 98718295806 101249534160 102374528984 105179310600 106312010868 109686995340 115171345107 118124456520 118326724425 126215172720 126561917700 127968161230 131624394408 132890013585 135230542200 137108744175 141749347824 145632891600 146249327120 147655570650 151874301240 153561793476 157768965900 164530493010 168749223600 177186684780 182811658900 189322759080 189842876550 191952241845 196874094200 197436591612 204749057968 210358621200 212624021736 219373990680 221483355975 230342690214 236248913040 236653448850 246795739515 253123835400 255936322460 263248788816 265780027170 270461084400 274217488350 295311141300 303748602480 307123586952 315537931800 319920403075 329060986020 345514035321 354373369560 365623317800 378645518160 379685753100 383904483690 393748188400 394873183224 411326232525 425248043472 438747981360 442966711950 460685380428 473306897700 493591479030 506247670800 511872644920 531560054340 548434976700 575856725535 590622282600 614247173904 631075863600 639840806150 658121972040 664450067925 691028070642 708746739120 731246635600 759371506200 767808967380 789746366448 822652465050 885933423900 921370760856 946613795400 959761209225 987182958060 1023745289840 1063120108680 1096869953400 1151713451070 1181244565200 1233978697575 1279681612300 1316243944080 1328900135850 1382056141284 1518743012400 1535617934760 1645304930100 1727570176605 1771866847800 1842741521712 1893227590800 1919522418450 1974365916120 2126240217360 2193739906800 2303426902140 2467957395150 2559363224600 2657800271700 2764112282568 2879283627675 3071235869520 3290609860200 3455140353210 3543733695600 3839044836900 3948731832240 4606853804280 4935914790300 5118726449200 5315600543400 5528224565136 5758567255350 6581219720400 6910280706420 7678089673800 8637850883025 9213707608560 9871829580600 10631201086800 11517134510700 13820561412840 15356179347600 17275701766050 19743659161200 23034269021400 27641122825680 34551403532100 46068538042800 69102807064200 138205614128400
- Sum of all divisors σ(n): 613721056560640
- Sum of proper divisors (its aliquot sum) s(n): 475515442432240
- 138205614128400 is an abundant number, because the sum of its proper divisors (475515442432240) is greater than itself. Its abundance is 337309828303840
Bases of 138205614128400
- Binary: 111110110110010100000001000100100111101000100002
- Hexadecimal: 0x7DB280893D10
- Base-36: 1CZMS6AEC0
Squares and roots of 138205614128400
- 138205614128400 squared (1382056141284002) is 19100791776608197691686560000
- 138205614128400 cubed (1382056141284003) is 2639836657824828463529416303960394304000000
-
The
square root of 138205614128400 is 11756088.3855302823 -
The
cube root of 138205614128400 is 51702.1450458419
Scales and comparisons
How big is 138205614128400?- 138,205,614,128,400 seconds is equal to 4,394,511 years, 1 week, 4 days, 9 hours.
-
To count from 1 to 138,205,614,128,400 would take you about ten million, nine hundred eighty-six thousand, two hundred seventy-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 138205614128400 cubic inches would be around 4308.5 feet tall.
Recreational maths with 138205614128400
- 138205614128400 backwards is 004821416502831
- 138205614128400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138205614128400's digits is 45
- More coming soon!
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The information we have on file for 138205614128400 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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