138283806507840
138,283,806,507,840 is an even composite number composed of eight prime numbers multiplied together.
138283806507840 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 138283806507840:
26 × 32 × 5 × 72 × 19 × 29 × 593 × 2999
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 19 × 29 × 593 × 2999)See below for interesting mathematical facts about the number 138283806507840 from the Numbermatics database.
Names of 138283806507840
- Cardinal: 138283806507840 can be written as One hundred thirty-eight trillion, two hundred eighty-three billion, eight hundred six million, five hundred seven thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3828380650784 × 1014
Factors of 138283806507840
Divisors of 138283806507840
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 28 29 30 32 35 36 38 40 42 45 48 49 56 57 58 60 63 64 70 72 76 80 84 87 90 95 96 98 105 112 114 116 120 126 133 140 144 145 147 152 160 168 171 174 180 190 192 196 203 210 224 228 232 240 245 252 261 266 280 285 288 290 294 304 315 320 336 342 348 360 380 392 399 406 420 435 441 448 456 464 480 490 504 522 532 551 560 570 576 580 588 593 608 609 630 665 672 684 696 720 735 760 784 798 812 840 855 870 882 912 928 931 960 980 1008 1015 1044 1064 1102 1120 1140 1160 1176 1186 1197 1216 1218 1260 1305 1330 1344 1368 1392 1421 1440 1470 1520 1568 1596 1624 1653 1680 1710 1740 1764 1779 1824 1827 1856 1862 1960 1995 2016 2030 2088 2128 2204 2205 2240 2280 2320 2352 2372 2394 2436 2520 2610 2660 2736 2755 2784 2793 2842 2880 2940 2965 2999 3040 3045 3136 3192 3248 3306 3360 3420 3480 3528 3558 3648 3654 3724 3857 3920 3990 4032 4060 4151 4176 4256 4263 4408 4410 4560 4640 4655 4704 4744 4788 4872 4959 5040 5220 5320 5337 5472 5510 5568 5586 5684 5880 5930 5985 5998 6080 6090 6384 6496 6612 6720 6840 6960 7056 7105 7116 7308 7448 7714 7840 7980 8120 8265 8302 8352 8379 8512 8526 8816 8820 8895 8997 9120 9135 9280 9310 9408 9488 9576 9744 9918 10080 10440 10640 10674 10944 11020 11172 11267 11368 11571 11760 11860 11970 11996 12180 12453 12768 12789 12992 13224 13680 13920 13965 14112 14210 14232 14616 14896 14995 15428 15680 15960 16240 16530 16604 16704 16758 17052 17197 17632 17640 17790 17994 18240 18270 18620 18976 19152 19285 19488 19836 20160 20755 20880 20993 21280 21315 21348 22040 22344 22534 22736 23142 23520 23720 23940 23992 24360 24795 24906 25536 25578 26448 26685 26991 26999 27360 27840 27930 28224 28420 28464 29057 29232 29792 29990 30856 31920 32480 33060 33208 33516 33801 34104 34394 34713 35264 35280 35580 35988 36540 37240 37359 37952 38304 38570 38976 39672 41510 41760 41895 41986 42560 42630 42696 44080 44688 44985 45068 45472 46284 47040 47440 47880 47984 48720 49590 49812 51156 51591 52896 53370 53982 53998 54720 55860 56335 56840 56928 56981 57855 58114 58464 59584 59980 61712 62265 62979 63840 63945 64960 66120 66416 67032 67602 68208 68788 69426 70560 71160 71976 73080 74480 74718 76608 77140 78869 79344 80997 83020 83520 83790 83972 85260 85392 85985 86971 87171 88160 89376 89970 90136 90944 92568 94880 95760 95968 97440 99180 99624 101403 102312 103182 104965 105792 106740 107964 107996 111720 112670 113680 113856 113962 115710 116228 116928 119960 120379 123424 124530 125958 127680 127890 132240 132832 134064 134955 134995 135204 136416 137576 138852 141120 142320 143952 145285 146160 146951 148960 149436 154280 154773 157738 158688 161994 166040 167580 167944 169005 170520 170784 170943 171970 173565 173942 174342 176320 178752 179940 180272 185136 186795 188937 189760 191520 191936 194880 198360 199248 202806 204624 206364 209930 213480 215928 215992 223440 225340 227360 227924 231420 232456 236607 239920 240758 242991 246848 249060 251916 255780 257955 260913 261513 264480 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68120101728 68593157990 69315191232 70552962504 74266276320 74506361265 75689001920 75813490410 77731200960 78392180560 79473452016 80867723104 82311789588 83656265280 85150127160 86643989040 88191203130 90976188492 94070616672 96030421186 97314431040 99341815020 101084653880 102889736985 103972786848 105964602688 109749052784 113533502880 113720235615 115525318720 116596801440 117588270840 119210178024 121301584656 123467684382 125484397920 129965983560 132455753360 136240203456 137186315980 141105925008 144045631779 148532552640 149012722530 151626980820 156784361120 158946904032 161735446208 164623579176 170300254320 173287978080 176382406260 181952376984 188141233344 192060842372 198683630040 202169307760 205779473970 207945573696 219498105568 227067005760 227440471230 233193602880 235176541680 238420356048 240076052965 242603169312 246935368764 250968795840 259931967120 264911506720 274372631960 282211850016 288091263558 298025445060 303253961640 308669210955 313568722240 317893808064 329247158352 340600508640 346575956160 352764812520 363904753968 384121684744 397367260080 404338615520 411558947940 432136895337 438996211136 454880942460 470353083360 476840712096 480152105930 485206338624 493870737528 519863934240 529823013440 548745263920 564423700032 576182527116 596050890120 606507923280 617338421910 658494316704 681201017280 705529625040 720228158895 727809507936 768243369488 794734520160 808677231040 823117895880 864273790674 909761884920 940706166720 953681424192 960304211860 987741475056 1039727868480 1097490527840 1152365054232 1192101780240 1213015846560 1234676843820 1316988633408 1411059250080 1440456317790 1455619015872 1536486738976 1589469040320 1646235791760 1728547581348 1819523769840 1920608423720 1975482950112 2160684476685 2194981055680 2304730108464 2384203560480 2426031693120 2469353687640 2822118500160 2880912635580 3072973477952 3292471583520 3457095162696 3639047539680 3841216847440 3950965900224 4321368953370 4609460216928 4768407120960 4938707375280 5761825271160 6584943167040 6914190325392 7278095079360 7682433694880 8642737906740 9218920433856 9877414750560 11523650542320 13828380650784 15364867389760 17285475813480 19754829501120 23047301084640 27656761301568 34570951626960 46094602169280 69141903253920 138283806507840
- Sum of all divisors σ(n): 603715226400000
- Sum of proper divisors (its aliquot sum) s(n): 465431419892160
- 138283806507840 is an abundant number, because the sum of its proper divisors (465431419892160) is greater than itself. Its abundance is 327147613384320
Bases of 138283806507840
- Binary: 111110111000100101101010010101001000011010000002
- Hexadecimal: 0x7DC4B52A4340
- Base-36: 1D0MPC0GG0
Squares and roots of 138283806507840
- 138283806507840 squared (1382838065078402) is 19122411142297732335981465600
- 138283806507840 cubed (1382838065078403) is 2644319802364863287093268198130901090304000
-
The
square root of 138283806507840 is 11759413.5273762697 -
The
cube root of 138283806507840 is 51711.8936888209
Scales and comparisons
How big is 138283806507840?- 138,283,806,507,840 seconds is equal to 4,396,997 years, 15 weeks, 6 days, 18 hours, 24 minutes.
-
To count from 1 to 138,283,806,507,840 would take you about ten million, nine hundred ninety-two thousand, four hundred ninety-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 138283806507840 cubic inches would be around 4309.3 feet tall.
Recreational maths with 138283806507840
- 138283806507840 backwards is 048705608382831
- 138283806507840 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138283806507840's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 138283806507840 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 138283806507840 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/138283806507840/
Chicago style:
Numbermatics. 2024. "Number 138283806507840 - Facts about the integer". https://numbermatics.com/n/138283806507840/
The information we have on file for 138283806507840 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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