122838414984096

Names of 122838414984096

• Cardinal: 122838414984096 can be written as One hundred twenty-two trillion, eight hundred thirty-eight billion, four hundred fourteen million, nine hundred eighty-four thousand and ninety-six.

Scientific notation

• Scientific notation: 1.22838414984096 × 10¹⁴

Factors of 122838414984096

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 2501

Divisors of 122838414984096

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 61 62 84 93 96 112 122 124 127 168 183 186 217 224 244 248 254 336 366 372 381 409 427 434 488 496 508 651 672 732 744 762 818 854 868 889 976 992 1016 1227 1281 1302 1464 1488 1524 1636 1708 1736 1778 1861 1891 1952 2032 2454 2562 2604 2667 2863 2928 2976 3048 3272 3416 3472 3556 3722 3782 3937 4064 4908 5124 5208 5334 5583 5673 5726 5856 6096 6544 6832 6944 7112 7444 7564 7747 7874 8589 9816 10248 10416 10668 11166 11346 11452 11811 12192 12679 13027 13088 13237 13664 14224 14888 15128 15494 15748 17178 19632 20496 20832 21336 22332 22692 22904 23241 23622 24949 25358 26054 26474 27559 28448 29776 30256 30988 31496 34356 38037 39081 39264 39711 40992 42672 44664 45384 45808 46482 47244 49898 50716 51943 52108 52948 54229 55118 57691 59552 60512 61976 62992 68712 74847 76074 78162 79422 82677 85344 88753 89328 90768 91616 92964 94488 99796 101432 103886 104216 105896 108458 110236 113521 115382 123952 125984 137424 149694 152148 155829 156324 158844 162687 165354 173073 174643 177506 178656 181536 185928 188976 199592 202864 207772 208432 211792 216916 220472 227042 230764 236347 240157 247904 266259 274848 299388 304296 311658 312648 317688 325374 330708 340563 346146 349286 355012 363601 371856 377952 399184 403837 405728 415544 416864 423584 433832 440944 454084 461528 472694 480314 523929 532518 598776 608592 623316 625296 635376 650748 661416 681126 692292 698572 709041 710024 720471 727202 743712 761149 773419 794647 798368 807674 831088 867664 881888 908168 923056 945388 960628 1047858 1065036 1090803 1197552 1211511 1217184 1246632 1250592 1270752 1301496 1322832 1362252 1384584 1397144 1418082 1420048 1440942 1454404 1522298 1546838 1589294 1610233 1615348 1654429 1662176 1681099 1735328 1816336 1846112 1890776 1921256 2095716 2130072 2181606 2283447 2320257 2383941 2395104 2423022 2493264 2602992 2645664 2724504 2769168 2794288 2836164 2840096 2881884 2908808 3044596 3093676 3168523 3178588 3220466 3230696 3308858 3362198 3519151 3632672 3781552 3842512 4191432 4260144 4363212 4566894 4640514 4767882 4830699 4846044 4963287 4986528 5043297 5205984 5328043 5413933 5449008 5538336 5588576 5672328 5763768 5817616 6089192 6187352 6337046 6357176 6440932 6461392 6617716 6724396 7038302 7326757 7563104 7685024 8382864 8520288 8726424 9133788 9281028 9505569 9535764 9661398 9692088 9926574 10086594 10557453 10656086 10827866 10898016 11271631 11344656 11527536 11635232 12178384 12374704 12674092 12714352 12881864 12922784 13235432 13448792 14076604 14417167 14653514 15984129 16241799 16765728 17452848 18267576 18562056 19011138 19071528 19322796 19384176 19853148 20173188 21114906 21312172 21655732 21980271 22179661 22543262 22689312 23055072 23595619 24356768 24634057 24749408 25348184 25428704 25763728 26470864 26897584 28153208 28834334 29307028 31968258 32483598 33814893 34905696 36535152 37124112 38022276 38143056 38645592 38768352 39706296 40346376 42229812 42624344 43251501 43311464 43960542 44359322 45086524 46430089 47191238 49268114 50696368 51287299 51527456 52941728 53795168 56306416 57668668 58614056 63936516 64967196 66538983 67629786 70786857 73070304 73902171 74248224 76044552 76286112 77291184 79412592 80692752 84459624 85248688 86503002 86622928 87921084 88718644 90173048 92860178 94382476 96665923 98224213 98536228 100920169 101392736 102574598 112612832 115337336 117228112 127873032 129934392 133077966 135259572 139290267 141573714 147804342 152089104 153861897 154582368 158825184 161385504 165169333 168919248 170497376 173006004 173245856 175842168 177437288 180346096 185720356 188764952 193331846 196448426 197072456 201840338 205149196 230674672 234456224 255746064 259868784 266155932 270519144 278580534 283147428 289997769 294672639 295608684 302760507 304178208 307723794 325010623 330338666 337838496 346012008 351684336 354874576 360692192 371440712 377529904 386663692 392896852 394144912 403680676 410298392 446932177 461349344 495507999 511492128 519737568 532311864 541038288 557161068 566294856 579995538 589345278 591217368 605521014 615447588 650021246 660677332 676661461 687569491 692024016 703368672 709749152 742881424 755059808 773327384 785793704 788289824 807361352 820596784 893864354 975031869 991015998 1064623728 1082076576 1114322136 1132589712 1159991076 1178690556 1182434736 1211042028 1230895176 1300042492 1321354664 1340796531 1353322922 1375138982 1384048032 1439332759 1485762848 1546654768 1571587408 1614722704 1641193568 1787728708 1950063738 1982031996 2029984383 2062708473 2129247456 2228644272 2265179424 2319982152 2357381112 2364869472 2422084056 2461790352 2600084984 2642709328 2681593062 2706645844 2750277964 2878665518 2996643613 3093309536 3128525239 3143174816 3229445408 3575457416 3900127476 3964063992 4059968766 4125416946 4317998277 4457288544 4639964304 4714762224 4844168112 4923580704 5200169968 5285418656 5363186124 5413291688 5500555928 5757331036 5896621303 5993287226 6257050478 7150914832 7800254952 7928127984 8119937532 8250833892 8635996554 8989930839 9279928608 9385575717 9429524448 9688336224 10075329313 10400339936 10726372248 10826583376 11001111856 11514662072 11793242606 11986574452 12514100956 14301829664 15600509904 15856255968 16239875064 16501667784 17271993108 17689863909 17979861678 18771151434 20150658626 20976505291 21452744496 21653166752 22002223712 23029324144 23586485212 23973148904 25028201912 30225987939 31201019808 32479750128 33003335568 34543986216 35379727818 35959723356 37542302868 40301317252 41276349121 41953010582 42905488992 46058648288 47172970424 47946297808 50056403824 60451975878 62929515873 64959500256 66006671136 69087972432 70759455636 71919446712 75084605736 80602634504 82552698242 83906021164 94345940848 95892595616 100112807648 120903951756 123829047363 125859031746 138175944864 141518911272 143838893424 150169211472 161205269008 165105396484 167812042328 182795260393 188691881696 241807903512 247658094726 251718063492 283037822544 287677786848 300338422944 322410538016 330210792968 335624084656 365590520786 483615807024 495316189452 503436126984 548385781179 566075645088 660421585936 671248169312 731181041572 967231614048 990632378904 1006872253968 1096771562358 1279566822751 1320843171872 1462362083144 1981264757808 2013744507936 2193543124716 2559133645502 2924724166288 3838700468253 3962529515616 4387086249432 5118267291004 5849448332576 7677400936506 8774172498864 10236534582008 15354801873012 17548344997728 20473069164016 30709603746024 40946138328032 61419207492048 122838414984096
• Sum of all divisors σ(n): 390846024253440
• Sum of proper divisors (its aliquot sum) s(n): 268007609269344
• 122838414984096 is an abundant number, because the sum of its proper divisors (268007609269344) is greater than itself. Its abundance is 145169194285248

Bases of 122838414984096

• Binary: 11011111011100010001100000101110000001110100000₂
• Hexadecimal: 0x6FB88C1703A0
• Base-36: 17JJ6SOR6O

Squares and roots of 122838414984096

• 122838414984096 squared (122838414984096²) is 15089276195804980695932937216
• 122838414984096 cubed (122838414984096³) is 1853542771149933629175916540919835206516736
• The square root of 122838414984096 is 11083249.2972095507
• The cube root of 122838414984096 is 49710.1112023735

Scales and comparisons

• 122,838,414,984,096 seconds is equal to 3,905,881 years, 32 weeks, 6 days, 4 hours, 1 minute, 36 seconds.
• To count from 1 to 122,838,414,984,096 would take you about nine million, seven hundred sixty-four thousand, seven hundred four 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 122838414984096 cubic inches would be around 4142.5 feet tall.

Recreational maths with 122838414984096

• 122838414984096 backwards is 690489414838221
• The number of decimal digits it has is: 15
• The sum of 122838414984096's digits is 69
• More coming soon!