138689318504000
138,689,318,504,000 is an even composite number composed of seven prime numbers multiplied together.
138689318504000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 138689318504000:
26 × 53 × 11 × 19 × 31 × 137 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 19 × 31 × 137 × 19531)See below for interesting mathematical facts about the number 138689318504000 from the Numbermatics database.
Names of 138689318504000
- Cardinal: 138689318504000 can be written as One hundred thirty-eight trillion, six hundred eighty-nine billion, three hundred eighteen million, five hundred four thousand.
Scientific notation
- Scientific notation: 1.38689318504 × 1014
Factors of 138689318504000
Divisors of 138689318504000
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 4 5 8 10 11 16 19 20 22 25 31 32 38 40 44 50 55 62 64 76 80 88 95 100 110 124 125 137 152 155 160 176 190 200 209 220 248 250 274 275 304 310 320 341 352 380 400 418 440 475 496 500 548 550 589 608 620 682 685 704 760 775 800 836 880 950 992 1000 1045 1096 1100 1178 1216 1240 1364 1370 1375 1507 1520 1550 1600 1672 1705 1760 1900 1984 2000 2090 2192 2200 2356 2375 2480 2603 2728 2740 2750 2945 3014 3040 3100 3344 3410 3425 3520 3800 3875 4000 4180 4247 4384 4400 4712 4750 4960 5206 5225 5456 5480 5500 5890 6028 6080 6200 6479 6688 6820 6850 7535 7600 7750 8000 8360 8494 8525 8768 8800 9424 9500 9920 10412 10450 10912 10960 11000 11780 12056 12400 12958 13015 13376 13640 13700 14725 15070 15200 15500 16720 16988 17050 17125 17600 18848 19000 19531 20824 20900 21235 21824 21920 22000 23560 24112 24800 25916 26030 26125 27280 27400 28633 29450 30140 30400 31000 32395 33440 33976 34100 34250 37675 37696 38000 39062 41648 41800 42470 42625 43840 44000 46717 47120 48224 49600 51832 52060 52250 54560 54800 57266 58900 60280 62000 64790 65075 66880 67952 68200 68500 73625 75350 76000 78124 80693 83296 83600 84940 85250 88000 93434 94240 96448 97655 103664 104120 104500 106175 109120 109600 114532 117800 120560 124000 129580 130150 135904 136400 137000 143165 147250 150700 152000 156248 161386 161975 166592 167200 169880 170500 186868 188375 188480 195310 207328 208240 209000 212350 214841 219200 229064 233585 235600 241120 248000 259160 260300 271808 272800 274000 286330 294500 301400 312496 322772 323950 325375 334400 339760 341000 371089 373736 376750 390620 403465 414656 416480 418000 424700 429682 458128 467170 471200 482240 488275 518320 520600 530875 545600 548000 572660 589000 602800 605461 624992 645544 647900 650750 679520 682000 715825 742178 747472 753500 781240 806930 809875 832960 836000 849400 859364 887623 916256 934340 942400 976550 1036640 1041200 1061750 1074205 1096000 1145320 1167925 1178000 1205600 1210922 1249984 1291088 1295800 1301500 1359040 1364000 1431650 1484356 1494944 1507000 1562480 1613860 1619750 1672000 1698800 1718728 1775246 1832512 1855445 1868680 1953100 2017325 2073280 2082400 2123500 2148410 2290640 2335850 2356000 2411200 2421844 2441375 2582176 2591600 2603000 2675747 2728000 2863300 2968712 2989888 3014000 3027305 3124960 3227720 3239500 3397600 3437456 3550492 3579125 3710890 3737360 3906200 4034650 4081979 4164800 4247000 4296820 4438115 4581280 4671700 4712000 4843688 4882750 5164352 5183200 5206000 5351494 5371025 5726600 5839625 5937424 6028000 6054610 6249920 6455440 6479000 6660071 6795200 6874912 7100984 7158250 7421780 7474720 7812400 8069300 8163958 8494000 8593640 8876230 9162560 9277225 9343400 9687376 9765500 10086625 10366400 10412000 10702988 10742050 11453200 11503759 11679250 11874848 12056000 12109220 12910880 12958000 13320142 13378735 13749824 14201968 14316500 14843560 14949440 15136525 15624800 16138600 16327916 16988000 17187280 17752460 18554450 18686800 19374752 19531000 20173250 20409895 20824000 21405976 21484100 22190575 22906400 23007518 23358500 23749696 24218440 25821760 25916000 26640284 26757470 26855125 28403936 28633000 29433217 29687120 30273050 31249600 32277200 32655832 33300355 33976000 34374560 35504920 37108900 37373600 38749504 39062000 40346500 40819790 42811952 42968200 44381150 45812800 46015036 46386125 46717000 48436880 50839193 51832000 53280568 53514940 53710250 56807872 57266000 57518795 58866434 59374240 60546100 64554400 65311664 66600710 66893675 68749120 71009840 74217800 74747200 75682625 78124000 80693000 81639580 82948157 85623904 85936400 88762300 92030072 92772250 93434000 96873760 101678386 102049475 106561136 107029880 107420500 110952875 114532000 115037590 117732868 118748480 121092200 126541349 129108800 130623328 133201420 133787350 142019680 147166085 148435600 151365250 156248000 161386000 163279160 165896314 166501775 171247808 171872800 177524600 184060144 185544500 186868000 193747520 203356772 204098950 213122272 214059760 214841000 221905750 229064000 230075180 235465736 242184400 253082698 254195965 261246656 266402840 267574700 284039360 287593975 294332170 296871200 302730500 322772000 326558320 331792628 333003550 334468375 343745600 355049200 368120288 371089000 373736000 406713544 408197900 414740785 426244544 428119520 429682000 443811500 460150360 470931472 484368800 506165396 508391930 510247375 532805680 535149400 559231123 575187950 588664340 593742400 605461000 632706745 645544000 653116640 663585256 666007100 668936750 710098400 735830425 736240576 742178000 813427088 816395800 829481570 832508875 856239040 859364000 887623000 912429727 920300720 941862944 968737600 1012330792 1016783860 1020494750 1065611360 1070298800 1118462246 1150375900 1177328680 1210922000 1265413490 1270979825 1306233280 1327170512 1332014200 1337873500 1420196800 1437969875 1471660850 1484356000 1576014983 1626854176 1632791600 1658963140 1665017750 1718728000 1775246000 1824859454 1840601440 1883725888 2024661584 2033567720 2040989500 2073703925 2131222720 2140597600 2236924492 2300751800 2354657360 2421844000 2530826980 2541959650 2654341024 2664028400 2675747000 2796155615 2875939750 2943321700 2968712000 3152029966 3163533725 3253708352 3265583200 3317926280 3330035500 3550492000 3649718908 3679152125 3681202880 4049323168 4067135440 4081979000 4147407850 4281195200 4473848984 4562148635 4601503600 4709314720 4843688000 5061653960 5083919300 5308682048 5328056800 5351494000 5592311230 5751879500 5886643400 6304059932 6327067450 6354899125 6531166400 6635852560 6660071000 7100984000 7299437816 7358304250 7880074915 8098646336 8134270880 8163958000 8294815700 8947697968 9124297270 9203007200 9418629440 10123307920 10167838600 10368519625 10656113600 10702988000 11184622460 11503759000 11773286800 12608119864 12654134900 12709798250 13271705120 13320142000 13980778075 14598875632 14716608500 15760149830 15817668625 16268541760 16327916000 16589631400 17336164813 17895395936 18248594540 18406014400 20246615840 20335677200 20737039250 21405976000 22369244920 22810743175 23007518000 23546573600 25216239728 25308269800 25419596500 26543410240 26640284000 27961556150 29197751264 29433217000 31520299660 31635337250 32655832000 33179262800 34672329626 35790791872 36497189080 39400374575 40493231680 40671354400 41474078500 44738489840 45621486350 46015036000 47093147200 50432479456 50616539600 50839193000 53280568000 55923112300 58395502528 58866434000 63040599320 63270674500 66358525600 69344659252 69903890375 72994378160 78800749150 81342708800 82948157000 86680824065 89476979680 91242972700 92030072000 100864958912 101233079200 101678386000 111846224600 114053715875 117732868000 126081198640 126541349000 132717051200 138689318504 139807780750 145988756320 157601498300 165896314000 173361648130 178953959360 182485945400 197001872875 202466158400 203356772000 223692449200 228107431750 235465736000 252162397280 253082698000 277378637008 279615561500 291977512640 315202996600 331792628000 346723296260 364971890800 394003745750 406713544000 433404120325 447384898400 456214863500 504324794560 506165396000 554757274016 559231123000 630405993200 663585256000 693446592520 729943781600 788007491500 866808240650 894769796800 912429727000 1012330792000 1109514548032 1118462246000 1260811986400 1386893185040 1459887563200 1576014983000 1733616481300 1824859454000 2167020601625 2236924492000 2521623972800 2773786370080 3152029966000 3467232962600 3649718908000 4334041203250 4473848984000 5547572740160 6304059932000 6934465925200 7299437816000 8668082406500 12608119864000 13868931850400 17336164813000 27737863700800 34672329626000 69344659252000 138689318504000
- Sum of all divisors σ(n): 410124148162560
- Sum of proper divisors (its aliquot sum) s(n): 271434829658560
- 138689318504000 is an abundant number, because the sum of its proper divisors (271434829658560) is greater than itself. Its abundance is 132745511154560
Bases of 138689318504000
- Binary: 111111000100011000111111001000001000110010000002
- Hexadecimal: 0x7E231F904640
- Base-36: 1D5SZRDV7K
Squares and roots of 138689318504000
- 138689318504000 squared (1386893185040002) is 19234727067103956798016000000
- 138689318504000 cubed (1386893185040003) is 2667651188547090445238697019288064000000000
-
The
square root of 138689318504000 is 11776642.9216479175 -
The
cube root of 138689318504000 is 51762.3920790181
Scales and comparisons
How big is 138689318504000?- 138,689,318,504,000 seconds is equal to 4,409,891 years, 17 weeks, 2 days, 15 hours, 33 minutes, 20 seconds.
-
To count from 1 to 138,689,318,504,000 would take you about eleven million, twenty-four thousand, seven hundred twenty-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 138689318504000 cubic inches would be around 4313.5 feet tall.
Recreational maths with 138689318504000
- 138689318504000 backwards is 000405813986831
- The number of decimal digits it has is: 15
- The sum of 138689318504000's digits is 56
- More coming soon!
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The information we have on file for 138689318504000 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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