120768128248320
120,768,128,248,320 is an even composite number composed of six prime numbers multiplied together.
What does the number 120768128248320 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
120768128248320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 120768128248320:
29 × 32 × 5 × 7 × 613 × 3299
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 61 × 61 × 61 × 3299)See below for interesting mathematical facts about the number 120768128248320 from the Numbermatics database.
Names of 120768128248320
- Cardinal: 120768128248320 can be written as One hundred twenty trillion, seven hundred sixty-eight billion, one hundred twenty-eight million, two hundred forty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.2076812824832 × 1014
Factors of 120768128248320
Divisors of 120768128248320
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 61 63 64 70 72 80 84 90 96 105 112 120 122 126 128 140 144 160 168 180 183 192 210 224 240 244 252 256 280 288 305 315 320 336 360 366 384 420 427 448 480 488 504 512 549 560 576 610 630 640 672 720 732 768 840 854 896 915 960 976 1008 1098 1120 1152 1220 1260 1280 1281 1344 1440 1464 1536 1680 1708 1792 1830 1920 1952 2016 2135 2196 2240 2304 2440 2520 2560 2562 2688 2745 2880 2928 3299 3360 3416 3584 3660 3721 3840 3843 3904 4032 4270 4392 4480 4608 4880 5040 5124 5376 5490 5760 5856 6405 6598 6720 6832 7320 7442 7680 7686 7808 8064 8540 8784 8960 9760 9897 10080 10248 10752 10980 11163 11520 11712 12810 13196 13440 13664 14640 14884 15372 15616 16128 16495 17080 17568 17920 18605 19215 19520 19794 20160 20496 21960 22326 23040 23093 23424 25620 26047 26392 26880 27328 29280 29691 29768 30744 31232 32256 32990 33489 34160 35136 37210 38430 39040 39588 40320 40992 43920 44652 46186 46848 49485 51240 52094 52784 53760 54656 55815 58560 59382 59536 61488 65980 66978 68320 69279 70272 74420 76860 78080 78141 79176 80640 81984 87840 89304 92372 93696 98970 102480 104188 105568 109312 111630 115465 117120 118764 119072 122976 130235 131960 133956 136640 138558 140544 148455 148840 153720 156160 156282 158352 161280 163968 167445 175680 178608 184744 197940 201239 204960 207837 208376 211136 218624 223260 226981 230930 234240 234423 237528 238144 245952 260470 263920 267912 273280 277116 281088 296910 297680 307440 312564 316704 327936 334890 346395 351360 357216 369488 390705 395880 402478 409920 415674 416752 422272 446520 453962 461860 468480 468846 475056 476288 491904 520940 527840 535824 546560 554232 593820 595360 603717 614880 625128 633408 655872 669780 680943 692790 702720 714432 738976 781410 791760 804956 819840 831348 833504 844544 893040 907924 923720 937692 950112 952576 983808 1006195 1039185 1041880 1055680 1071648 1093120 1108464 1134905 1172115 1187640 1190720 1207434 1229760 1250256 1266816 1339560 1361886 1385580 1405440 1408673 1428864 1477952 1562820 1583520 1588867 1609912 1639680 1662696 1667008 1689088 1786080 1811151 1815848 1847440 1875384 1900224 1905152 1967616 2012390 2042829 2078370 2083760 2111360 2143296 2216928 2269810 2344230 2375280 2381440 2414868 2459520 2500512 2533632 2679120 2723772 2771160 2817346 2857728 2955904 3018585 3125640 3167040 3177734 3219824 3279360 3325392 3334016 3404715 3572160 3622302 3631696 3694880 3750768 3800448 4024780 4085658 4156740 4167520 4222720 4226019 4286592 4433856 4539620 4688460 4750560 4762880 4766601 4829736 4919040 5001024 5067264 5358240 5447544 5542320 5634692 5715456 5911808 6037170 6251280 6334080 6355468 6439648 6650784 6668032 6809430 7043365 7144320 7244604 7263392 7389760 7501536 7600896 7944335 8049560 8171316 8313480 8335040 8445440 8452038 8573184 8867712 9055755 9079240 9376920 9501120 9525760 9533202 9659472 9838080 10002048 10214145 10716480 10895088 11084640 11269384 11823616 12074340 12275579 12502560 12668160 12678057 12710936 12879296 13301568 13336064 13618860 14086730 14288640 14299803 14489208 14526784 14779520 15003072 15201792 15888670 16099120 16342632 16626960 16670080 16904076 17146368 17735424 18111510 18158480 18753840 19002240 19066404 19318944 20004096 20428290 21130095 21432960 21790176 22169280 22538768 23833005 24148680 24551158 25005120 25336320 25356114 25421872 25758592 26603136 27237720 28173460 28577280 28599606 28978416 29053568 29559040 30006144 31777340 32198240 32685264 33253920 33340160 33808152 35470848 36223020 36316960 36826737 37507680 38004480 38132808 38637888 40008192 40856580 42260190 42865920 43580352 44338560 45077536 47666010 48297360 49102316 50010240 50712228 50843744 51517184 53206272 54475440 56346920 57199212 57956832 58107136 59118080 60012288 61377895 63390285 63554680 64396480 65370528 66507840 66680320 67616304 71499015 72446040 72633920 73653474 75015360 76008960 76265616 77275776 81713160 84520380 85731840 85929053 87160704 88677120 90155072 95332020 96594720 98204632 100020480 101424456 101687488 103034368 106412544 108950880 110480211 112693840 114398424 115913664 116214272 120024576 122755790 126780570 127109360 128792960 130741056 133015680 135232608 142998030 144892080 145267840 147306948 150030720 152531232 154551552 163426320 169040760 171858106 174321408 177354240 180310144 184133685 190664040 193189440 196409264 200040960 202848912 203374976 217901760 220960422 225387680 228796848 231827328 245511580 253561140 254218720 257585920 257787159 261482112 266031360 270465216 285996060 289784160 290535680 294613896 300061440 305062464 309103104 326852640 338081520 343716212 348642816 360620288 368267370 381328080 386378880 392818528 405697824 406749952 429645265 435803520 441920844 450775360 457593696 463654656 491023160 507122280 508437440 515171840 515574318 522964224 532062720 540930432 552401055 571992120 579568320 581071360 589227792 600122880 610124928 653705280 676163040 687432424 721240576 736534740 748810319 762656160 772757760 773361477 785637056 811395648 813499904 859290530 871607040 883841688 901550720 915187392 927309312 982046320 1014244560 1016874880 1031148636 1045928448 1081860864 1104802110 1143984240 1159136640 1178455584 1220249856 1288935795 1307410560 1352326080 1374864848 1473069480 1497620638 1525312320 1545515520 1546722954 1571274112 1622791296 1718581060 1743214080 1767683376 1803101440 1830374784 1964092640 2028489120 2033749760 2062297272 2163721728 2209604220 2246430957 2287968480 2318273280 2356911168 2440499712 2577871590 2614821120 2704652160 2749729696 2946138960 2995241276 3050624640 3093445908 3142548224 3245582592 3437162120 3535366752 3606202880 3660749568 3744051595 3866807385 3928185280 4056978240 4067499520 4124594544 4419208440 4492861914 4575936960 4636546560 4713822336 5155743180 5229642240 5241672233 5409304320 5499459392 5892277920 5990482552 6101249280 6186891816 6285096448 6491165184 6739292871 6874324240 7070733504 7321499136 7488103190 7733614770 7856370560 8113956480 8249189088 8838416880 8985723828 9151873920 9427644672 10311486360 10483344466 10818608640 10998918784 11232154785 11784555840 11980965104 12202498560 12373783632 13478585742 13748648480 14141467008 14976206380 15467229540 15712741120 15725016699 16227912960 16498378176 17676833760 17971447656 18303747840 18855289344 20622972720 20966688932 21997837568 22464309570 23569111680 23961930208 24747567264 26208361165 26957171484 27497296960 28282934016 29952412760 30934459080 31425482240 31450033398 32455825920 32996756352 33696464355 35353667520 35942895312 36607495680 41245945440 41933377864 43995675136 44928619140 47138223360 47175050097 47923860416 49495134528 52416722330 53914342968 54994593920 56565868032 59904825520 61868918160 62900066796 65993512704 67392928710 70707335040 71885790624 78625083495 82491890880 83866755728 89857238280 94276446720 94350100194 95847720832 98990269056 104833444660 107828685936 109989187840 119809651040 123737836320 125800133592 131987025408 134785857420 141414670080 143771581248 157250166990 164983781760 167733511456 179714476560 188700200388 191695441664 197980538112 209666889320 215657371872 219978375680 235875250485 239619302080 247475672640 251600267184 269571714840 282829340160 287543162496 314500333980 329967563520 335467022912 359428953120 377400400776 383390883328 395961076224 419333778640 431314743744 471750500970 479238604160 494951345280 503200534368 539143429680 575086324992 629000667960 659935127040 670934045824 718857906240 754800801552 838667557280 862629487488 943501001940 958477208320 989902690560 1006401068736 1078286859360 1150172649984 1258001335920 1341868091648 1437715812480 1509601603104 1677335114560 1725258974976 1887002003880 1916954416640 1979805381120 2012802137472 2156573718720 2516002671840 2683736183296 2875431624960 3019203206208 3354670229120 3450517949952 3774004007760 4025604274944 4313147437440 5032005343680 5750863249920 6038406412416 6709340458240 7548008015520 8051208549888 8626294874880 10064010687360 12076812824832 13418680916480 15096016031040 17252589749760 20128021374720 24153625649664 30192032062080 40256042749440 60384064124160 120768128248320
- Sum of all divisors σ(n): 486118581062400
- Sum of proper divisors (its aliquot sum) s(n): 365350452814080
- 120768128248320 is an abundant number, because the sum of its proper divisors (365350452814080) is greater than itself. Its abundance is 244582324565760
Bases of 120768128248320
- Binary: 110110111010110100001010110001001101010000000002
- Hexadecimal: 0x6DD685626A00
- Base-36: 16T441F280
Squares and roots of 120768128248320
- 120768128248320 squared (1207681282483202) is 14584940800602667151582822400
- 120768128248320 cubed (1207681282483203) is 1761396001101337883309404005285513658368000
-
The
square root of 120768128248320 is 10989455.3208209551 -
The
cube root of 120768128248320 is 49429.2603467231
Scales and comparisons
How big is 120768128248320?- 120,768,128,248,320 seconds is equal to 3,840,052 years, 47 weeks, 5 days, 3 hours, 12 minutes.
-
To count from 1 to 120,768,128,248,320 would take you about nine million, six hundred thousand, one hundred thirty-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 120768128248320 cubic inches would be around 4119.1 feet tall.
Recreational maths with 120768128248320
- 120768128248320 backwards is 023842821867021
- The number of decimal digits it has is: 15
- The sum of 120768128248320's digits is 54
- More coming soon!
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The information we have on file for 120768128248320 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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