122991048107347680
122,991,048,107,347,680 is an even composite number composed of six prime numbers multiplied together.
What does the number 122991048107347680 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 576 divisors.
122991048107347680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 122991048107347680:
25 × 35 × 5 × 13 × 71 × 3427248107
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 71 × 3427248107)See below for interesting mathematical facts about the number 122991048107347680 from the Numbermatics database.
Names of 122991048107347680
- Cardinal: 122991048107347680 can be written as One hundred twenty-two quadrillion, nine hundred ninety-one trillion, forty-eight billion, one hundred seven million, three hundred forty-seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.2299104810734768 × 1017
Factors of 122991048107347680
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 3427248201
Divisors of 122991048107347680
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 65 71 72 78 80 81 90 96 104 108 117 120 130 135 142 144 156 160 162 180 195 208 213 216 234 240 243 260 270 284 288 312 324 351 355 360 390 405 416 426 432 468 480 486 520 540 568 585 624 639 648 702 710 720 780 810 852 864 923 936 972 1040 1053 1065 1080 1136 1170 1215 1248 1278 1296 1404 1420 1440 1560 1620 1704 1755 1846 1872 1917 1944 2080 2106 2130 2160 2272 2340 2430 2556 2592 2769 2808 2840 3120 3159 3195 3240 3408 3510 3692 3744 3834 3888 4212 4260 4320 4615 4680 4860 5112 5265 5538 5616 5680 5751 6240 6318 6390 6480 6816 7020 7384 7668 7776 8307 8424 8520 9230 9360 9585 9720 10224 10530 11076 11232 11360 11502 12636 12780 12960 13845 14040 14768 15336 15795 16614 16848 17040 17253 18460 18720 19170 19440 20448 21060 22152 23004 24921 25272 25560 27690 28080 28755 29536 30672 31590 33228 33696 34080 34506 36920 38340 38880 41535 42120 44304 46008 49842 50544 51120 55380 56160 57510 61344 63180 66456 69012 73840 74763 76680 83070 84240 86265 88608 92016 99684 101088 102240 110760 115020 124605 126360 132912 138024 147680 149526 153360 166140 168480 172530 184032 199368 221520 224289 230040 249210 252720 265824 276048 299052 306720 332280 345060 373815 398736 443040 448578 460080 498420 505440 552096 598104 664560 690120 747630 797472 897156 920160 996840 1121445 1196208 1329120 1380240 1495260 1794312 1993680 2242890 2392416 2760480 2990520 3588624 3987360 4485780 5981040 7177248 8971560 11962080 17943120 35886240 3427248107 6854496214 10281744321 13708992428 17136240535 20563488642 27417984856 30845232963 34272481070 41126977284 44554225391 51408721605 54835969712 61690465926 68544962140 82253954568 89108450782 92535698889 102817443210 109671939424 123380931852 133662676173 137089924280 154226164815 164507909136 178216901564 185071397778 205634886420 222771126955 243334615597 246761863704 267325352346 274179848560 277607096667 308452329630 329015818272 356433803128 370142795556 400988028519 411269772840 445542253910 462678494445 486669231194 493523727408 534650704692 548359697120 555214193334 616904659260 668313380865 712867606256 730003846791 740285591112 801976057038 822539545680 832821290001 891084507820 925356988890 973338462388 987047454816 1069301409384 1110428386668 1202964085557 1216673077985 1233809318520 1336626761730 1388035483335 1425735212512 1460007693582 1480571182224 1603952114076 1645079091360 1665642580002 1782169015640 1850713977780 1946676924776 2004940142595 2138602818768 2190011540373 2220856773336 2405928171114 2433346155970 2467618637040 2673253523460 2776070966670 2920015387164 2961142364448 3163350002761 3207904228152 3331285160004 3564338031280 3608892256671 3650019233955 3701427955560 3893353849552 4009880285190 4164106450005 4277205637536 4380023080746 4441713546672 4811856342228 4866692311940 4935237274080 5346507046920 5552141933340 5840030774328 6014820427785 6326700005522 6415808456304 6570034621119 6662570320008 7128676062560 7217784513342 7300038467910 7402855911120 7786707699104 8019760570380 8328212900010 8760046161492 8883427093344 9490050008283 9623712684456 9733384623880 10693014093840 10826676770013 10950057701865 11104283866680 11680061548656 12029640855570 12653400011044 12831616912608 13140069242238 13325140640016 14435569026684 14600076935820 14805711822240 15816750013805 16039521140760 16656425800020 17520092322984 18044461283355 18980100016566 19247425368912 19466769247760 19710103863357 21386028187680 21653353540026 21900115403730 22208567733360 23360123097312 24059281711140 25306800022088 26280138484476 26650281280032 28470150024849 28871138053368 29200153871640 31633500027610 32079042281520 32850173105595 33312851600040 35040184645968 36088922566710 37960200033132 38494850737824 38933538495520 39420207726714 43306707080052 43800230807460 44417135466720 47450250041415 48118563422280 50613600044176 52560276968952 54133383850065 56940300049698 57742276106736 58400307743280 59130311590071 63267000055220 64158084563040 65700346211190 66625703200080 70080369291936 72177845133420 75920400066264 78840415453428 85410450074547 86613414160104 87600461614920 94900500082830 96237126844560 98550519316785 101227200088352 105120553937904 108266767700130 113880600099396 115484552213472 116800615486560 118260623180142 126534000110440 131400692422380 133251406400160 142350750124245 144355690266840 151840800132528 157680830906856 170820900149094 173226828320208 175200923229840 189801000165660 192474253689120 197101038633570 210241107875808 216533535400260 227761200198792 236521246360284 253068000220880 256231350223641 262801384844760 284701500248490 288711380533680 295651557950355 303681600265056 315361661813712 341641800298188 346453656640416 350401846459680 379602000331320 394202077267140 427052250372735 433067070800520 455522400397584 473042492720568 506136000441760 512462700447282 525602769689520 569403000496980 577422761067360 591303115900710 630723323627424 683283600596376 759204000662640 768694050670923 788404154534280 854104500745470 866134141601040 911044800795168 946084985441136 1024925400894564 1051205539379040 1138806000993960 1182606231801420 1281156751118205 1366567201192752 1518408001325280 1537388101341846 1576808309068560 1708209001490940 1732268283202080 1892169970882272 2049850801789128 2277612001987920 2365212463602840 2562313502236410 2733134402385504 3074776202683692 3153616618137120 3416418002981880 3843470253354615 4099701603578256 4555224003975840 4730424927205680 5124627004472820 6149552405367384 6832836005963760 7686940506709230 8199403207156512 9460849854411360 10249254008945640 12299104810734768 13665672011927520 15373881013418460 20498508017891280 24598209621469536 30747762026836920 40997016035782560 61495524053673840 122991048107347680
- Sum of all divisors σ(n): 475334417049343488
- Sum of proper divisors (its aliquot sum) s(n): 352343368941995808
- 122991048107347680 is an abundant number, because the sum of its proper divisors (352343368941995808) is greater than itself. Its abundance is 229352320834648128
Bases of 122991048107347680
- Binary: 1101101001111001110110100111001001111110111001110111000002
- Hexadecimal: 0x1B4F3B4E4FDCEE0
- Base-36: XN0ORHOCU00
Squares and roots of 122991048107347680
- 122991048107347680 squared (1229910481073476802) is 15126797914543911338660804401382400
- 122991048107347680 cubed (1229910481073476803) is 1860460730017796759516102390179965684177389432832000
-
The
square root of 122991048107347680 is 350700795.7038986817 -
The
cube root of 122991048107347680 is 497306.9181394315
Scales and comparisons
How big is 122991048107347680?- 122,991,048,107,347,680 seconds is equal to 3,910,734,893 years, 27 weeks, 1 day, 10 hours, 48 minutes.
-
To count from 1 to 122,991,048,107,347,680 would take you about eleven billion, seven hundred thirty-two million, two hundred four thousand, six hundred eighty 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 122991048107347680 cubic inches would be around 41442.2 feet tall.
Recreational maths with 122991048107347680
- 122991048107347680 backwards is 086743701840199221
- 122991048107347680 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 122991048107347680's digits is 72
- More coming soon!
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The information we have on file for 122991048107347680 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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