122068384048000
122,068,384,048,000 is an even composite number composed of six prime numbers multiplied together.
122068384048000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 122068384048000:
27 × 53 × 13 × 192 × 31 × 2292
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 19 × 19 × 31 × 229 × 229)See below for interesting mathematical facts about the number 122068384048000 from the Numbermatics database.
Names of 122068384048000
- Cardinal: 122068384048000 can be written as One hundred twenty-two trillion, sixty-eight billion, three hundred eighty-four million, forty-eight thousand.
Scientific notation
- Scientific notation: 1.22068384048 × 1014
Factors of 122068384048000
Divisors of 122068384048000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 31 32 38 40 50 52 62 64 65 76 80 95 100 104 124 125 128 130 152 155 160 190 200 208 229 247 248 250 260 304 310 320 325 361 380 400 403 416 458 475 494 496 500 520 589 608 620 640 650 722 760 775 800 806 832 916 950 988 992 1000 1040 1145 1178 1216 1235 1240 1300 1444 1520 1550 1600 1612 1625 1664 1805 1832 1900 1976 1984 2000 2015 2080 2290 2356 2375 2432 2470 2480 2600 2888 2945 2977 3040 3100 3200 3224 3250 3610 3664 3800 3875 3952 3968 4000 4030 4160 4351 4580 4693 4712 4750 4940 4960 5200 5725 5776 5890 5954 6080 6175 6200 6448 6500 7099 7220 7328 7600 7657 7750 7904 8000 8060 8320 8702 9025 9160 9386 9424 9500 9880 9920 10075 10400 11191 11450 11552 11780 11908 12160 12350 12400 12896 13000 14198 14440 14656 14725 14885 15200 15314 15500 15808 16000 16120 17404 18050 18320 18772 18848 19000 19760 19840 20150 20800 21755 22382 22900 23104 23465 23560 23816 24700 24800 25792 26000 28396 28625 28880 29312 29450 29770 30400 30628 30875 31000 31616 32240 34808 35495 36100 36640 37544 37696 38000 38285 39520 40300 41600 43510 44764 45125 45800 46208 46930 47120 47632 49400 49600 50375 51584 52000 52441 55955 56563 56792 57250 57760 58900 59540 60800 61256 61750 62000 64480 69616 70990 72200 73280 73625 74425 75088 75392 76000 76570 79040 80600 82669 87020 89528 90250 91600 92287 93860 94240 95264 98800 99200 100750 104000 104882 108775 111910 113126 113584 114500 115520 117325 117800 119080 122512 123500 124000 128960 134881 139232 141980 144400 145483 146560 147250 148850 150176 152000 153140 158080 161200 165338 174040 177475 179056 180500 183200 184574 187720 188480 190528 191425 197600 201500 208000 209764 217550 223820 226252 227168 229000 231040 234650 235600 238160 245024 247000 248000 257920 262205 269762 278464 279775 282815 283960 288800 290966 294500 297700 300352 304000 306280 322400 330676 348080 354950 358112 361000 366400 369148 372125 375440 376960 381056 382850 395200 403000 413345 419528 435100 447640 452504 454336 458000 461435 469300 471200 476320 490048 494000 496000 524410 539524 543875 556928 559550 565630 567920 577600 581932 586625 589000 595400 600704 612560 644800 661352 674405 681733 696160 709900 716224 722000 727415 732800 738296 744250 750880 765700 790400 806000 826690 839056 870200 887375 895280 905008 908672 916000 922870 938600 942400 952640 957125 980096 988000 996379 1048820 1074697 1079048 1087750 1119100 1131260 1135840 1155200 1163864 1173250 1178000 1190800 1225120 1289600 1311025 1322704 1348810 1363466 1392320 1398875 1414075 1419800 1432448 1444000 1454830 1476592 1488500 1501760 1531400 1612000 1625671 1653380 1678112 1740400 1753453 1774750 1790560 1810016 1832000 1845740 1877200 1884800 1905280 1914250 1976000 1992758 2066725 2097640 2149394 2158096 2175500 2238200 2262520 2271680 2307175 2327728 2346500 2356000 2381600 2450240 2562739 2622050 2645408 2697620 2726932 2784640 2797750 2828150 2839600 2888000 2909660 2953184 2977000 3003520 3062800 3224000 3251342 3306760 3356224 3372025 3408665 3480800 3506906 3549500 3581120 3620032 3637075 3664000 3691480 3754400 3828500 3952000 3985516 4133450 4195280 4298788 4316192 4351000 4476400 4525040 4543360 4614350 4655456 4693000 4712000 4763200 4900480 4981895 5125478 5244100 5290816 5373485 5395240 5453864 5595500 5656300 5679200 5776000 5819320 5906368 5954000 6125600 6448000 6502684 6555125 6613520 6712448 6744050 6817330 6961600 7013812 7070375 7099000 7162240 7240064 7274150 7382960 7508800 7657000 7971032 8128355 8266900 8390560 8597576 8632384 8702000 8767265 8952800 9050080 9228700 9310912 9386000 9424000 9526400 9963790 10250956 10333625 10488200 10581632 10746970 10790480 10907728 11191000 11312600 11358400 11535875 11638640 11812736 11908000 12251200 12813695 12952927 13005368 13110250 13227040 13488100 13634660 13923200 14027624 14140750 14198000 14548300 14765920 15017600 15314000 15942064 16256710 16533800 16781120 16860125 17043325 17195152 17264768 17404000 17534530 17905600 18100160 18185375 18457400 18621824 18772000 18931201 19927580 20501912 20667250 20976400 21133723 21493940 21580960 21815456 22382000 22625200 22716800 23071750 23277280 23816000 24502400 24909475 25627390 25905854 26010736 26220500 26454080 26867425 26976200 27269320 28055248 28281500 28396000 29096600 29531840 30628000 30887749 31884128 32513420 33067600 33315607 33562240 33720250 34086650 34390304 34808000 35069060 35811200 36200320 36370750 36914800 37544000 37862402 39855160 40641775 41003824 41334500 41952800 42267446 42987880 43161920 43630912 43836325 44764000 45250400 46143500 46554560 47632000 49818950 51254780 51811708 52021472 52441000 52908160 53734850 53952400 54538640 56110496 56563000 56792000 58193200 59063680 61256000 61775498 63768256 64068475 64764635 65026840 66135200 66631214 67440500 68173300 68780608 69616000 70138120 72741500 73829600 75088000 75724804 79710320 81283550 82007648 82669000 83905600 84534892 85216625 85975760 86323840 87261824 87672650 89528000 90500800 92287000 93109120 94656005 99637900 102509560 103623416 104042944 104882000 105668615 107469700 107904800 109077280 112220992 113126000 113584000 116386400 122512000 123550996 124547375 127536512 128136950 129529270 130053680 132270400 133262428 134337125 134881000 136346600 137561216 140276240 145483000 147659200 151449608 154438745 159420640 162567100 164015296 165338000 166578035 167811200 169069784 170433250 171951520 175345300 179056000 181001600 184574000 189312010 199275800 203208875 205019120 207246832 208085888 209764000 211337230 214939400 215809600 218154560 219181625 224441984 226252000 232772800 246105613 247101992 249094750 256273900 259058540 260107360 264540800 266524856 268674250 269762000 272693200 280552480 290966000 295318400 302899216 308877490 318841280 320342375 323823175 325134200 328030592 330676000 333156070 338139568 340866500 343903040 350690600 369148000 378624020 398551600 401540737 406417750 410038240 414493664 419528000 422674460 429878800 431619200 436309120 438363250 452504000 465545600 473280025 492211226 494203984 498189500 512547800 518117080 520214720 528343075 533049712 537348500 539524000 545386400 561104960 581932000 586867231 605798432 617754980 637682560 640684750 647646350 650268400 661352000 666312140 676279136 681733000 687806080 701381200 738296000 757248040 772193725 797103200 803081474 812835500 820076480 828987328 832890175 839056000 845348920 859757600 876726500 905008000 946560050 984422452 988407968 996379000 1025095600 1036234160 1040429440 1056686150 1066099424 1074697000 1079048000 1090772800 1122209920 1163864000 1173734462 1211596864 1230528065 1235509960 1281369500 1295292700 1300536800 1322704000 1332624280 1352558272 1363466000 1402762400 1476592000 1514496080 1544387450 1594206400 1606162948 1619115875 1625671000 1640152960 1657974656 1665780350 1690697840 1719515200 1753453000 1893120100 1968844904 1976815936 1992758000 2007703685 2050191200 2072468320 2113372300 2132198848 2149394000 2158096000 2181545600 2327728000 2347468924 2366400125 2423193728 2461056130 2471019920 2562739000 2590585400 2601073600 2641715375 2665248560 2705116544 2726932000 2805524800 2934336155 3028992160 3088774900 3188412800 3212325896 3238231750 3251342000 3331560700 3381395680 3439030400 3506906000 3786240200 3860968625 3937689808 3953631872 3985516000 4015407370 4100382400 4144936640 4164450875 4226744600 4264397696 4298788000 4694937848 4732800250 4922112260 4942039840 5125478000 5181170800 5202147200 5283430750 5330497120 5453864000 5611049600 5868672310 6057984320 6152640325 6177549800 6424651792 6476463500 6502684000 6663121400 6762791360 7013812000 7572480400 7629274003 7721937250 7875379616 7971032000 8030814740 8200764800 8289873280 8328901750 8453489200 8597576000 9389875696 9465600500 9844224520 9884079680 10038518425 10250956000 10362341600 10566861500 10660994240 10907728000 11737344620 12115968640 12305280650 12355099600 12849303584 12952927000 13005368000 13326242800 13525582720 14027624000 14671680775 15144960800 15258548006 15443874500 15750759232 15942064000 16061629480 16657803500 16906978400 17195152000 18779751392 18931201000 19688449040 19768159360 20077036850 20501912000 20724683200 21133723000 21321988480 23474689240 24610561300 24710199200 25698607168 25905854000 26010736000 26652485600 28055248000 29343361550 30289921600 30517096012 30763201625 30887749000 31501518464 32123258960 33315607000 33813956800 37559502784 37862402000 38146370015 39376898080 40154073700 41003824000 41449366400 42267446000 46949378480 49221122600 49420398400 50192592125 51397214336 51811708000 53304971200 58686723100 60579843200 61034192024 61526403250 61775498000 64246517920 66631214000 67627913600 73358403875 75119005568 75724804000 76292740030 78753796160 80308147400 84534892000 93898756960 98442245200 98840796800 100385184250 103623416000 106609942400 117373446200 122068384048 123052806500 123550996000 128493035840 133262428000 146716807750 151449608000 152585480060 157507592320 160616294800 169069784000 187797513920 190731850075 196884490400 200770368500 207246832000 234746892400 244136768096 246105613000 247101992000 256986071680 266524856000 293433615500 302899216000 305170960120 321232589600 338139568000 375595027840 381463700150 393768980800 401540737000 469493784800 488273536192 492211226000 494203984000 533049712000 586867231000 610341920240 642465179200 762927400300 787537961600 803081474000 938987569600 953659250375 976547072384 984422452000 1173734462000 1220683840480 1284930358400 1525854800600 1606162948000 1877975139200 1907318500750 1968844904000 2347468924000 2441367680960 3051709601200 3212325896000 3814637001500 3937689808000 4694937848000 4882735361920 6103419202400 6424651792000 7629274003000 9389875696000 12206838404800 15258548006000 24413676809600 30517096012000 61034192024000 122068384048000
- Sum of all divisors σ(n): 357634438237440
- Sum of proper divisors (its aliquot sum) s(n): 235566054189440
- 122068384048000 is an abundant number, because the sum of its proper divisors (235566054189440) is greater than itself. Its abundance is 113497670141440
Bases of 122068384048000
- Binary: 110111100000101010000101010101101100011100000002
- Hexadecimal: 0x6F0542AB6380
- Base-36: 179PFW5E9S
Squares and roots of 122068384048000
- 122068384048000 squared (1220683840480002) is 14900690384090020866304000000
- 122068384048000 cubed (1220683840480003) is 1818903196385441296112330334318592000000000
-
The
square root of 122068384048000 is 11048456.1839199957 -
The
cube root of 122068384048000 is 49606.0216479493
Scales and comparisons
How big is 122068384048000?- 122,068,384,048,000 seconds is equal to 3,881,397 years, 1 week, 4 days, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 122,068,384,048,000 would take you about nine million, seven hundred three thousand, four hundred ninety-two 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 122068384048000 cubic inches would be around 4133.8 feet tall.
Recreational maths with 122068384048000
- 122068384048000 backwards is 000840483860221
- The number of decimal digits it has is: 15
- The sum of 122068384048000's digits is 46
- More coming soon!
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The information we have on file for 122068384048000 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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