1138816723968
1,138,816,723,968 is an even composite number composed of five prime numbers multiplied together.
1138816723968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 1138816723968:
210 × 35 × 73 × 11 × 1213
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 11 × 1213)See below for interesting mathematical facts about the number 1138816723968 from the Numbermatics database.
Names of 1138816723968
- Cardinal: 1138816723968 can be written as One trillion, one hundred thirty-eight billion, eight hundred sixteen million, seven hundred twenty-three thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.138816723968 × 1012
Factors of 1138816723968
Divisors of 1138816723968
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 49 54 56 63 64 66 72 77 81 84 88 96 98 99 108 112 126 128 132 144 147 154 162 168 176 189 192 196 198 216 224 231 243 252 256 264 288 294 297 308 324 336 343 352 378 384 392 396 432 441 448 462 486 504 512 528 539 567 576 588 594 616 648 672 686 693 704 756 768 784 792 864 882 891 896 924 972 1008 1024 1029 1056 1078 1134 1152 1176 1188 1213 1232 1296 1323 1344 1372 1386 1408 1512 1536 1568 1584 1617 1701 1728 1764 1782 1792 1848 1944 2016 2058 2079 2112 2156 2268 2304 2352 2376 2426 2464 2592 2646 2673 2688 2744 2772 2816 3024 3072 3087 3136 3168 3234 3402 3456 3528 3564 3584 3639 3696 3773 3888 3969 4032 4116 4158 4224 4312 4536 4608 4704 4752 4851 4852 4928 5184 5292 5346 5376 5488 5544 5632 6048 6174 6237 6272 6336 6468 6804 6912 7056 7128 7168 7278 7392 7546 7776 7938 8064 8232 8316 8448 8491 8624 9072 9216 9261 9408 9504 9702 9704 9856 10368 10584 10692 10752 10917 10976 11088 11264 11319 11907 12096 12348 12474 12544 12672 12936 13343 13608 13824 14112 14256 14553 14556 14784 15092 15552 15876 16128 16464 16632 16896 16982 17248 18144 18522 18711 18816 19008 19404 19408 19712 20736 21168 21384 21504 21834 21952 22176 22638 23814 24192 24696 24948 25088 25344 25473 25872 26686 27216 27648 27783 28224 28512 29106 29112 29568 30184 31104 31752 32256 32751 32928 33264 33792 33957 33964 34496 36288 37044 37422 37632 38016 38808 38816 39424 40029 41472 42336 42768 43659 43668 43904 44352 45276 47628 48384 49392 49896 50176 50688 50946 51744 53372 54432 55566 56448 57024 58212 58224 59136 59437 60368 62208 63504 64512 65502 65856 66528 67914 67928 68992 72576 74088 74844 75264 76032 76419 77616 77632 78848 80058 82944 83349 84672 85536 87318 87336 87808 88704 90552 93401 95256 96768 98253 98784 99792 101376 101871 101892 103488 106744 108864 111132 112896 114048 116424 116448 118272 118874 120087 120736 124416 127008 130977 131004 131712 133056 135828 135856 137984 145152 148176 149688 150528 152064 152838 155232 155264 160116 166698 169344 171072 174636 174672 175616 177408 178311 181104 186802 190512 193536 196506 197568 199584 203742 203784 206976 213488 217728 222264 225792 228096 229257 232848 232896 236544 237748 240174 241472 248832 254016 261954 262008 263424 266112 271656 271712 275968 280203 290304 294759 296352 299376 304128 305613 305676 310464 310528 320232 333396 338688 342144 349272 349344 351232 354816 356622 360261 362208 373604 381024 393012 395136 399168 407484 407568 413952 416059 426976 435456 444528 451584 456192 458514 465696 465792 475496 480348 482944 508032 523908 524016 526848 532224 534933 543312 543424 551936 560406 580608 589518 592704 598752 611226 611352 620928 621056 640464 653807 666792 677376 684288 687771 698544 698688 709632 713244 720522 724416 747208 762048 786024 790272 798336 814968 815136 827904 832118 840609 853952 870912 889056 912384 916839 917028 931392 931584 950992 960696 965888 1016064 1047816 1048032 1053696 1064448 1069866 1080783 1086624 1086848 1120812 1179036 1185408 1197504 1222452 1222704 1241856 1242112 1248177 1280928 1307614 1333584 1354752 1368576 1375542 1397088 1397376 1426488 1441044 1448832 1494416 1524096 1572048 1580544 1596672 1604799 1629936 1630272 1655808 1664236 1681218 1707904 1741824 1778112 1833678 1834056 1862784 1863168 1901984 1921392 1931776 1961421 2032128 2063313 2095632 2096064 2128896 2139732 2161566 2173248 2173696 2241624 2358072 2370816 2395008 2444904 2445408 2483712 2496354 2521827 2561856 2615228 2667168 2737152 2751084 2794176 2794752 2852976 2882088 2897664 2988832 3048192 3144096 3161088 3193344 3209598 3242349 3259872 3260544 3328472 3362436 3415808 3556224 3667356 3668112 3725568 3726336 3744531 3803968 3842784 3863552 3922842 4064256 4126626 4191264 4192128 4279464 4323132 4346496 4347392 4483248 4576649 4716144 4741632 4790016 4814397 4889808 4890816 4967424 4992708 5043654 5123712 5230456 5334336 5502168 5588352 5589504 5705952 5764176 5795328 5884263 5977664 6096384 6288192 6386688 6419196 6484698 6519744 6521088 6656944 6724872 6831616 7112448 7334712 7336224 7451136 7489062 7565481 7607936 7685568 7845684 8253252 8382528 8384256 8558928 8646264 8692992 8694784 8966496 9153298 9432288 9483264 9580032 9628794 9779616 9781632 9985416 10087308 10247424 10460912 10668672 11004336 11176704 11179008 11233593 11411904 11528352 11590656 11768526 11955328 12192768 12576384 12838392 12969396 13039488 13042176 13313888 13449744 13663232 13729947 14224896 14443191 14669424 14672448 14902272 14978124 15130962 15215872 15371136 15691368 16506504 16765056 16768512 17117856 17292528 17385984 17652789 17932992 18306596 18864576 19160064 19257588 19559232 19563264 19970832 20174616 20494848 20921824 21337344 22008672 22353408 22467186 22696443 22823808 23056704 23537052 23910656 25152768 25676784 25938792 26078976 26084352 26627776 26899488 27459894 28449792 28886382 29338848 29344896 29956248 30261924 30431744 30742272 31382736 33013008 33530112 33537024 33700779 34235712 34585056 34771968 35305578 35865984 36613192 37729152 38515176 39118464 39126528 39941664 40349232 40989696 41189841 41843648 42674688 44017344 44706816 44934372 45392886 45647616 46113408 47074104 47821312 50305536 51353568 51877584 52157952 52958367 53255552 53798976 54919788 57772764 58677696 58689792 59912496 60523848 60863488 61484544 62765472 66026016 67060224 67401558 68471424 69170112 70611156 71731968 73226384 75458304 77030352 78236928 78253056 79883328 80698464 82379682 83687296 85349376 88034688 89868744 90785772 91295232 92226816 94148208 95642624 100611072 101102337 102707136 103755168 104315904 105916734 106511104 107597952 109839576 115545528 117355392 117379584 119824992 121047696 122969088 123569523 125530944 132052032 134120448 134803116 136942848 138340224 141222312 143463936 146452768 150916608 154060704 156473856 158875101 159766656 161396928 164759364 167374592 176069376 179737488 181571544 182590464 184453632 188296416 202204674 205414272 207510336 211833468 213022208 215195904 219679152 231091056 234710784 234759168 239649984 242095392 247139046 251061888 264104064 269606232 273885696 276680448 282444624 286927872 292905536 301833216 308121408 312947712 317750202 319533312 322793856 329518728 334749184 352138752 359474976 363143088 368907264 370708569 376592832 404409348 410828544 415020672 423666936 426044416 430391808 439358304 462182112 469421568 479299968 484190784 494278092 502123776 528208128 539212464 547771392 553360896 564889248 585811072 616242816 635500404 639066624 645587712 659037456 669498368 704277504 718949952 726286176 741417138 753185664 808818696 821657088 830041344 847333872 860783616 878716608 924364224 938843136 958599936 968381568 988556184 1004247552 1056416256 1078424928 1106721792 1112125707 1129778496 1171622144 1232485632 1271000808 1278133248 1291175424 1318074912 1437899904 1452572352 1482834276 1506371328 1617637392 1643314176 1660082688 1694667744 1757433216 1848728448 1917199872 1936763136 1977112368 2008495104 2112832512 2156849856 2224251414 2259556992 2343244288 2464971264 2542001616 2582350848 2636149824 2875799808 2905144704 2965668552 3012742656 3235274784 3320165376 3389335488 3514866432 3697456896 3834399744 3873526272 3954224736 4313699712 4448502828 4519113984 4686488576 4929942528 5084003232 5272299648 5751599616 5810289408 5931337104 6025485312 6470549568 6778670976 7029732864 7394913792 7747052544 7908449472 8627399424 8897005656 9038227968 10168006464 10544599296 11503199232 11620578816 11862674208 12941099136 13557341952 14059465728 14789827584 15816898944 17254798848 17794011312 18076455936 20336012928 21089198592 23241157632 23725348416 25882198272 27114683904 31633797888 34509597696 35588022624 40672025856 42178397184 47450696832 51764396544 54229367808 63267595776 71176045248 81344051712 94901393664 103528793088 126535191552 142352090496 162688103424 189802787328 284704180992 379605574656 569408361984 1138816723968
- Sum of all divisors σ(n): 4341893337600
- Sum of proper divisors (its aliquot sum) s(n): 3203076613632
- 1138816723968 is an abundant number, because the sum of its proper divisors (3203076613632) is greater than itself. Its abundance is 2064259889664
Bases of 1138816723968
- Binary: 100001001001001101100010000101100000000002
- Hexadecimal: 0x10926C42C00
- Base-36: EJ5Y2O00
Squares and roots of 1138816723968
- 1138816723968 squared (11388167239682) is 1296903530789207905665024
- 1138816723968 cubed (11388167239683) is 1476935430235897968699089020080095232
-
The
square root of 1138816723968 is 1067153.5615683433 -
The
cube root of 1138816723968 is 10442.8236833025
Scales and comparisons
How big is 1138816723968?- 1,138,816,723,968 seconds is equal to 36,210 years, 44 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 1,138,816,723,968 would take you about ninety thousand, five hundred twenty-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 1138816723968 cubic inches would be around 870.2 feet tall.
Recreational maths with 1138816723968
- 1138816723968 backwards is 8693276188311
- 1138816723968 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1138816723968's digits is 63
- More coming soon!
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"Number 1138816723968 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 1138816723968 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/1138816723968/
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The information we have on file for 1138816723968 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!
Keywords: Divisors of 1138816723968, math, Factors of 1138816723968, curriculum, school, college, exams, university, Prime factorization of 1138816723968, STEM, science, technology, engineering, physics, economics, calculator, one trillion, one hundred thirty-eight billion, eight hundred sixteen million, seven hundred twenty-three thousand, nine hundred sixty-eight.