138640695648000
138,640,695,648,000 is an even composite number composed of six prime numbers multiplied together.
138640695648000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138640695648000:
28 × 3 × 53 × 72 × 13 × 2267149
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 2267149)See below for interesting mathematical facts about the number 138640695648000 from the Numbermatics database.
Names of 138640695648000
- Cardinal: 138640695648000 can be written as One hundred thirty-eight trillion, six hundred forty billion, six hundred ninety-five million, six hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.38640695648 × 1014
Factors of 138640695648000
Divisors of 138640695648000
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 49 50 52 56 60 64 65 70 75 78 80 84 91 96 98 100 104 105 112 120 125 128 130 140 147 150 156 160 168 175 182 192 195 196 200 208 210 224 240 245 250 256 260 273 280 294 300 312 320 325 336 350 364 375 384 390 392 400 416 420 448 455 480 490 500 520 525 546 560 588 600 624 637 640 650 672 700 728 735 750 768 780 784 800 832 840 875 896 910 960 975 980 1000 1040 1050 1092 1120 1176 1200 1225 1248 1274 1280 1300 1344 1365 1400 1456 1470 1500 1560 1568 1600 1625 1664 1680 1750 1792 1820 1911 1920 1950 1960 2000 2080 2100 2184 2240 2275 2352 2400 2450 2496 2548 2600 2625 2688 2730 2800 2912 2940 3000 3120 3136 3185 3200 3250 3328 3360 3500 3640 3675 3822 3840 3900 3920 4000 4160 4200 4368 4480 4550 4704 4800 4875 4900 4992 5096 5200 5250 5376 5460 5600 5824 5880 6000 6125 6240 6272 6370 6400 6500 6720 6825 7000 7280 7350 7644 7800 7840 8000 8320 8400 8736 8960 9100 9408 9555 9600 9750 9800 9984 10192 10400 10500 10920 11200 11375 11648 11760 12000 12250 12480 12544 12740 13000 13440 13650 14000 14560 14700 15288 15600 15680 15925 16000 16640 16800 17472 18200 18375 18816 19110 19200 19500 19600 20384 20800 21000 21840 22400 22750 23296 23520 24000 24500 24960 25480 26000 26880 27300 28000 29120 29400 30576 31200 31360 31850 32000 33600 34125 34944 36400 36750 37632 38220 39000 39200 40768 41600 42000 43680 44800 45500 47040 47775 48000 49000 49920 50960 52000 54600 56000 58240 58800 61152 62400 62720 63700 67200 68250 69888 72800 73500 76440 78000 78400 79625 81536 83200 84000 87360 91000 94080 95550 96000 98000 101920 104000 109200 112000 116480 117600 122304 124800 127400 134400 136500 145600 147000 152880 156000 156800 159250 163072 168000 174720 182000 188160 191100 196000 203840 208000 218400 224000 235200 238875 244608 249600 254800 273000 291200 294000 305760 312000 313600 318500 336000 349440 364000 382200 392000 407680 416000 436800 470400 477750 489216 509600 546000 582400 588000 611520 624000 637000 672000 728000 764400 784000 815360 873600 940800 955500 1019200 1092000 1176000 1223040 1248000 1274000 1456000 1528800 1568000 1747200 1911000 2038400 2184000 2267149 2352000 2446080 2548000 2912000 3057600 3822000 4076800 4368000 4534298 4704000 5096000 6115200 6801447 7644000 8736000 9068596 10192000 11335745 12230400 13602894 15288000 15870043 18137192 20384000 22671490 27205788 29472937 30576000 31740086 34007235 36274384 45342980 47610129 54411576 56678725 58945874 61152000 63480172 68014470 72548768 79350215 88418811 90685960 95220258 108823152 111090301 113357450 117891748 126960344 136028940 145097536 147364685 158700430 170036175 176837622 181371920 190440516 206310559 217646304 222180602 226714900 235783496 238050645 253920688 272057880 283393625 290195072 294729370 317400860 333270903 340072350 353675244 362743840 380881032 396751075 412621118 435292608 442094055 444361204 453429800 471566992 476101290 507841376 544115760 555451505 566787250 580390144 589458740 618931677 634801720 666541806 680144700 707350488 725487680 736823425 761762064 793502150 825242236 850180875 870585216 884188110 888722408 906859600 943133984 952202580 1015682752 1031552795 1088231520 1110903010 1133574500 1178917480 1190253225 1237863354 1269603440 1333083612 1360289400 1414700976 1444173913 1450975360 1473646850 1523524128 1587004300 1650484472 1666354515 1700361750 1741170432 1768376220 1777444816 1813719200 1886267968 1904405160 1983755375 2031365504 2063105590 2176463040 2210470275 2221806020 2267149000 2357834960 2380506450 2475726708 2539206880 2666167224 2720578800 2777257525 2829401952 2888347826 2901950720 2947293700 3047048256 3094658385 3174008600 3300968944 3332709030 3400723500 3536752440 3554889632 3627438400 3684117125 3772535936 3808810320 3967510750 4062731008 4126211180 4332521739 4352926080 4420940550 4443612040 4534298000 4715669920 4761012900 4951453416 5078413760 5157763975 5332334448 5441157600 5554515050 5658803904 5776695652 5894587400 5951266125 6094096512 6189316770 6348017200 6601937888 6665418060 6801447000 7073504880 7109779264 7220869565 7254876800 7368234250 7545071872 7617620640 7935021500 8252422360 8331772575 8665043478 8705852160 8841881100 8887224080 9068596000 9431339840 9522025800 9902906832 10156827520 10315527950 10664668896 10882315200 11052351375 11109030100 11317607808 11553391304 11789174800 11902532250 12188193024 12378633540 12696034400 13203875776 13330836120 13602894000 13886287625 14147009760 14219558528 14441739130 14509753600 14736468500 15235241280 15473291925 15870043000 16504844720 16663545150 17330086956 17683762200 17774448160 18137192000 18862679680 19044051600 19805813664 20313655040 20631055900 21329337792 21662608695 21764630400 22104702750 22218060200 22635215616 23106782608 23578349600 23805064500 24757267080 25392068800 25788819875 26407751552 26661672240 27205788000 27772575250 28294019520 28439117056 28883478260 29472937000 30470482560 30946583850 31740086000 33009689440 33327090300 34660173912 35367524400 35548896320 36104347825 36274384000 37725359360 38088103200 39611627328 41262111800 41658862875 42658675584 43325217390 43529260800 44209405500 44436120400 46213565216 47156699200 47610129000 49514534160 50784137600 51577639750 52815503104 53323344480 54411576000 55545150500 56588039040 57766956520 58945874000 60940965120 61893167700 63480172000 66019378880 66654180600 69320347824 70735048800 71097792640 72208695650 72548768000 76176206400 77366459625 79223254656 82524223600 83317725750 85317351168 86650434780 88418811000 88872240800 92427130432 94313398400 95220258000 99029068320 101568275200 103155279500 106646688960 108313043475 108823152000 111090301000 113176078080 115533913040 117891748000 123786335400 126960344000 132038757760 133308361200 138640695648 141470097600 142195585280 144417391300 152352412800 154732919250 158446509312 165048447200 166635451500 173300869560 176837622000 177744481600 180521739125 184854260864 188626796800 190440516000 198058136640 206310559000 213293377920 216626086950 217646304000 222180602000 231067826080 235783496000 247572670800 253920688000 264077515520 266616722400 277281391296 282940195200 288834782600 304704825600 309465838500 330096894400 333270903000 346601739120 353675244000 355488963200 361043478250 369708521728 380881032000 396116273280 412621118000 426586755840 433252173900 444361204000 462135652160 471566992000 495145341600 507841376000 533233444800 541565217375 554562782592 565880390400 577669565200 618931677000 660193788800 666541806000 693203478240 707350488000 710977926400 722086956500 761762064000 792232546560 825242236000 866504347800 888722408000 924271304320 943133984000 990290683200 1066466889600 1083130434750 1109125565184 1155339130400 1237863354000 1320387577600 1333083612000 1386406956480 1414700976000 1444173913000 1523524128000 1650484472000 1733008695600 1777444816000 1848542608640 1980581366400 2132933779200 2166260869500 2310678260800 2475726708000 2666167224000 2772813912960 2829401952000 2888347826000 3300968944000 3466017391200 3554889632000 3961162732800 4332521739000 4621356521600 4951453416000 5332334448000 5545627825920 5776695652000 6601937888000 6932034782400 8665043478000 9242713043200 9902906832000 10664668896000 11553391304000 13864069564800 17330086956000 19805813664000 23106782608000 27728139129600 34660173912000 46213565216000 69320347824000 138640695648000
- Sum of all divisors σ(n): 576884189044800
- Sum of proper divisors (its aliquot sum) s(n): 438243493396800
- 138640695648000 is an abundant number, because the sum of its proper divisors (438243493396800) is greater than itself. Its abundance is 299602797748800
Bases of 138640695648000
- Binary: 111111000010111110011010110101001011111000000002
- Hexadecimal: 0x7E17CD6A5F00
- Base-36: 1D56NMLBEO
Squares and roots of 138640695648000
- 138640695648000 squared (1386406956480002) is 19221242489761366139904000000
- 138640695648000 cubed (1386406956480003) is 2664846429999411319151123051937792000000000
-
The
square root of 138640695648000 is 11774578.3639160515 -
The
cube root of 138640695648000 is 51756.3422751707
Scales and comparisons
How big is 138640695648000?- 138,640,695,648,000 seconds is equal to 4,408,345 years, 14 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 138,640,695,648,000 would take you about eleven million, twenty thousand, eight hundred sixty-three 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 138640695648000 cubic inches would be around 4313 feet tall.
Recreational maths with 138640695648000
- 138640695648000 backwards is 000846596046831
- 138640695648000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138640695648000's digits is 60
- More coming soon!
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The information we have on file for 138640695648000 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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