122681221248768
122,681,221,248,768 is an even composite number composed of six prime numbers multiplied together.
What does the number 122681221248768 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
122681221248768 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 122681221248768:
28 × 3 × 75 × 13 × 131 × 5581
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 7 × 7 × 13 × 131 × 5581)See below for interesting mathematical facts about the number 122681221248768 from the Numbermatics database.
Names of 122681221248768
- Cardinal: 122681221248768 can be written as One hundred twenty-two trillion, six hundred eighty-one billion, two hundred twenty-one million, two hundred forty-eight thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.22681221248768 × 1014
Factors of 122681221248768
Divisors of 122681221248768
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 64 78 84 91 96 98 104 112 128 131 147 156 168 182 192 196 208 224 256 262 273 294 312 336 343 364 384 392 393 416 448 524 546 588 624 637 672 686 728 768 784 786 832 896 917 1029 1048 1092 1176 1248 1274 1344 1372 1456 1568 1572 1664 1703 1792 1834 1911 2058 2096 2184 2352 2401 2496 2548 2688 2744 2751 2912 3136 3144 3328 3406 3668 3822 4116 4192 4368 4459 4704 4802 4992 5096 5109 5376 5488 5502 5581 5824 6272 6288 6419 6812 7203 7336 7644 8232 8384 8736 8918 9408 9604 9984 10192 10218 10976 11004 11162 11648 11921 12544 12576 12838 13377 13624 14406 14672 15288 16464 16743 16768 16807 17472 17836 18816 19208 19257 20384 20436 21952 22008 22324 23296 23842 25152 25676 26754 27248 28812 29344 30576 31213 32928 33486 33536 33614 34944 35672 35763 37632 38416 38514 39067 40768 40872 43904 44016 44648 44933 47684 50304 50421 51352 53508 54496 57624 58688 61152 62426 65856 66972 67228 69888 71344 71526 72553 76832 77028 78134 81536 81744 83447 87808 88032 89296 89866 93639 95368 100608 100842 102704 107016 108992 115248 117201 117376 122304 124852 131712 133944 134456 134799 142688 143052 145106 153664 154056 156268 163072 163488 166894 176064 178592 179732 187278 190736 201684 205408 214032 217659 217984 218491 230496 234402 234752 244608 249704 250341 263424 267888 268912 269598 273469 285376 286104 290212 307328 308112 312536 314531 326976 333788 352128 357184 359464 374556 381472 403368 410816 428064 435318 435968 436982 460992 468804 489216 499408 500682 507871 535776 537824 539196 546938 570752 572208 580424 584129 614656 616224 625072 629062 653952 655473 667576 704256 714368 718928 731111 749112 762944 806736 820407 821632 856128 870636 873964 921984 937608 943593 998816 1001364 1015742 1071552 1075648 1078392 1093876 1141504 1144416 1160848 1168258 1232448 1250144 1258124 1307904 1310946 1335152 1428736 1437856 1462222 1498224 1523613 1525888 1613472 1640814 1643264 1712256 1741272 1747928 1752387 1843968 1875216 1887186 1914283 1997632 2002728 2031484 2143104 2151296 2156784 2187752 2193333 2201717 2288832 2321696 2336516 2464896 2500288 2516248 2621892 2670304 2875712 2924444 2996448 3047226 3051776 3226944 3281628 3424512 3482544 3495856 3504774 3555097 3750432 3774372 3828566 3995264 4005456 4062968 4088903 4286208 4302592 4313568 4375504 4386666 4403434 4577664 4643392 4673032 4929792 5000576 5032496 5117777 5243784 5340608 5742849 5751424 5848888 5992896 6094452 6453888 6563256 6605151 6965088 6991712 7009548 7110194 7500864 7548744 7657132 7990528 8010912 8125936 8177806 8627136 8751008 8773332 8806868 9155328 9286784 9346064 9504443 10001152 10064992 10235554 10487568 10665291 10681216 11485698 11502848 11697776 11985792 12188904 12266709 12907776 13126512 13210302 13399981 13930176 13983424 14019096 14220388 15001728 15097488 15314264 15353331 16021824 16251872 16355612 17254272 17502016 17546664 17613736 18573568 18692128 19008886 20129984 20471108 20975136 21330582 21362432 22971396 23395552 23971584 24377808 24533418 24885679 26253024 26420604 26799962 27860352 27966848 28038192 28440776 28513329 28622321 30003456 30194976 30628528 30706662 32043648 32503744 32711224 34508544 35004032 35093328 35227472 35824439 37384256 38017772 40199943 40259968 40942216 41950272 42661164 45942792 46791104 48755616 49066836 49771358 52506048 52841208 53599924 55720704 55933696 56076384 56881552 57026658 57244642 60389952 61257056 61413324 64087296 65007488 65422448 66531101 70008064 70186656 70454944 71648878 74657037 74768512 76035544 80399886 80519936 81884432 83900544 85322328 85866963 91885584 93582208 93799867 97511232 98133672 99542716 105012096 105682416 107199848 107473317 112152768 113763104 114053316 114489284 120779904 122514112 122826648 130014976 130844896 133062202 140373312 140909888 143297756 149314074 149537024 152071088 160799772 163768864 167801088 170644656 171733926 174199753 183771168 187164416 187599734 195022464 196267344 199085432 199593303 210024192 211364832 214399696 214946634 224305536 227526208 228106632 228978568 241559808 245028224 245653296 250771073 261689792 266124404 280746624 281399601 281819776 286595512 298628148 304142176 321599544 327537728 341289312 343467852 348399506 367542336 375199468 390044928 392534688 398170864 399186606 422729664 428799392 429893268 448611072 455052416 456213264 457957136 465717707 490056448 491306592 501542146 522599259 523379584 532248808 561493248 562799202 563639552 573191024 597256296 608284352 643199088 655075456 682578624 686935704 696799012 735084672 750398936 752313219 785069376 796341728 798373212 845459328 857598784 859786536 910104832 912426528 915914272 931435414 982613184 1003084292 1045198518 1046759168 1064497616 1125598404 1146382048 1194512592 1216568704 1219398271 1286398176 1310150912 1365157248 1373871408 1393598024 1397153121 1470169344 1500797872 1504626438 1570138752 1592683456 1596746424 1690918656 1715197568 1719573072 1755397511 1824853056 1831828544 1862870828 1965226368 2006168584 2090397036 2128995232 2251196808 2292764096 2389025184 2433137408 2438796542 2572796352 2730314496 2747742816 2787196048 2794306242 3001595744 3009252876 3140277504 3185366912 3193492848 3260023949 3430395136 3439146144 3510795022 3649706112 3658194813 3663657088 3725741656 3930452736 4012337168 4180794072 4257990464 4502393616 4585528192 4778050368 4877593084 5145592704 5266192533 5495485632 5574392096 5588612484 6003191488 6018505752 6370733824 6386985696 6520047898 6878292288 7021590044 7299412224 7316389626 7327314176 7451483312 8024674336 8361588144 8515980928 9004787232 9171056384 9556100736 9755186168 9780071847 10291185408 10532385066 10990971264 11148784192 11177224968 12006382976 12037011504 12287782577 12773971392 13040095796 13756584576 14043180088 14632779252 14902966624 16049348672 16723176288 17031961856 18009574464 19112201472 19510372336 19560143694 21064770132 21981942528 22297568384 22354449936 22820167643 24012765952 24074023008 24575565154 25547942784 26080191592 27513169152 28086360176 29265558504 29805933248 32098697344 33446352576 36019148928 36863347731 39020744672 39120287388 42129540264 44595136768 44708899872 45640335286 48148046016 49151130308 51095885568 52160383184 56172720352 58531117008 59611866496 64197394688 66892705152 68460502929 72038297856 73726695462 78041489344 78240574776 84259080528 89417799744 91280670572 96296092032 98302260616 104320766368 112345440704 117062234016 119223732992 133785410304 136921005858 147453390924 156082978688 156481149552 159741173501 168518161056 178835599488 182561341144 192592184064 196604521232 208641532736 224690881408 234124468032 273842011716 294906781848 312165957376 312962299104 319482347002 337036322112 357671198976 365122682288 393209042464 417283065472 449381762816 468248936064 479223520503 547684023432 589813563696 625924598208 638964694004 674072644224 730245364576 786418084928 834566130944 936497872128 958447041006 1095368046864 1179627127392 1251849196416 1277929388008 1348145288448 1460490729152 1572836169856 1916894082012 2190736093728 2359254254784 2503698392832 2555858776016 2920981458304 3145672339712 3833788164024 4381472187456 4718508509568 5111717552032 5841962916608 7667576328048 8762944374912 9437017019136 10223435104064 15335152656096 17525888749824 20446870208128 30670305312192 40893740416256 61340610624384 122681221248768
- Sum of all divisors σ(n): 413433809091072
- Sum of proper divisors (its aliquot sum) s(n): 290752587842304
- 122681221248768 is an abundant number, because the sum of its proper divisors (290752587842304) is greater than itself. Its abundance is 168071366593536
Bases of 122681221248768
- Binary: 110111110010011111100101001110011110111000000002
- Hexadecimal: 0x6F93F29CF700
- Base-36: 17HIZ3LGQO
Squares and roots of 122681221248768
- 122681221248768 squared (1226812212487682) is 15050682047089165033341517824
- 122681221248768 cubed (1226812212487683) is 1846436054163806333651120523655885810040832
-
The
square root of 122681221248768 is 11076155.5265700381 -
The
cube root of 122681221248768 is 49688.8978231995
Scales and comparisons
How big is 122681221248768?- 122,681,221,248,768 seconds is equal to 3,900,883 years, 18 weeks, 4 days, 5 hours, 32 minutes, 48 seconds.
-
To count from 1 to 122,681,221,248,768 would take you about nine million, seven hundred fifty-two thousand, two hundred 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 122681221248768 cubic inches would be around 4140.7 feet tall.
Recreational maths with 122681221248768
- 122681221248768 backwards is 867842122186221
- The number of decimal digits it has is: 15
- The sum of 122681221248768's digits is 60
- More coming soon!
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The information we have on file for 122681221248768 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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