768068388000
768,068,388,000 is an even composite number composed of six prime numbers multiplied together.
768068388000 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 768068388000:
25 × 32 × 53 × 19 × 832 × 163
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 19 × 83 × 83 × 163)See below for interesting mathematical facts about the number 768068388000 from the Numbermatics database.
Names of 768068388000
- Cardinal: 768068388000 can be written as Seven hundred sixty-eight billion, sixty-eight million, three hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 7.68068388 × 1011
Factors of 768068388000
Divisors of 768068388000
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 30 32 36 38 40 45 48 50 57 60 72 75 76 80 83 90 95 96 100 114 120 125 144 150 152 160 163 166 171 180 190 200 225 228 240 249 250 285 288 300 304 326 332 342 360 375 380 400 415 450 456 475 480 489 498 500 570 600 608 652 664 684 720 747 750 760 800 815 830 855 900 912 950 978 996 1000 1125 1140 1200 1245 1304 1328 1368 1425 1440 1467 1494 1500 1520 1577 1630 1660 1710 1800 1824 1900 1956 1992 2000 2075 2250 2280 2375 2400 2445 2490 2608 2656 2736 2850 2934 2988 3000 3040 3097 3154 3260 3320 3420 3600 3735 3800 3912 3984 4000 4075 4150 4275 4500 4560 4731 4750 4890 4980 5216 5472 5700 5868 5976 6000 6194 6225 6308 6520 6640 6840 6889 7125 7200 7335 7470 7600 7824 7885 7968 8150 8300 8550 9000 9120 9291 9462 9500 9780 9960 10375 11400 11736 11952 12000 12225 12388 12450 12616 13040 13280 13529 13680 13778 14193 14250 14670 14940 15200 15485 15648 15770 16300 16600 17100 18000 18582 18675 18924 19000 19560 19920 20375 20667 20750 21375 22800 23472 23655 23904 24450 24776 24900 25232 26080 27058 27360 27556 27873 28386 28500 29340 29880 30970 31125 31540 32600 33200 34200 34445 36000 36675 37164 37350 37848 38000 39120 39425 39840 40587 40750 41334 41500 42750 45600 46455 46944 47310 48900 49552 49800 50464 54116 55112 55746 56772 57000 58680 59760 61125 61940 62001 62250 63080 65200 66400 67645 68400 68890 70965 73350 74328 74700 75696 76000 77425 78240 78850 81174 81500 82668 83000 85500 92910 93375 94620 97800 99104 99600 103335 108232 110224 111492 113544 114000 117360 118275 119520 121761 122250 123880 124002 124500 126160 130400 130891 135290 136800 137780 139365 141930 146700 148656 149400 151392 154850 157700 162348 163000 165336 166000 171000 172225 183375 185820 186750 189240 195600 197125 199200 202935 206670 216464 220448 222984 227088 228000 232275 234720 236550 243522 244500 247760 248004 249000 252320 257051 261782 270580 275560 278730 283860 293400 297312 298800 309700 310005 315400 324696 326000 330672 332000 338225 342000 344450 354825 366750 371640 373500 378480 387125 391200 392673 394250 405870 413340 432928 445968 454176 464550 473100 487044 489000 495520 496008 498000 514102 516675 523564 541160 551120 557460 567720 586800 591375 597600 608805 619400 620010 630800 649392 652000 654455 661344 676450 684000 688900 696825 709650 733500 743280 747000 756960 771153 774250 785346 788500 811740 826680 861125 891936 929100 946200 974088 978000 992016 996000 1014675 1028204 1033350 1047128 1082320 1102240 1114920 1122907 1135440 1161375 1173600 1178019 1182750 1217610 1238800 1240020 1261600 1285255 1298784 1308910 1352900 1377800 1393650 1419300 1467000 1486560 1494000 1542306 1548500 1550025 1570692 1577000 1623480 1653360 1691125 1722250 1774125 1858200 1892400 1948176 1956000 1963365 1984032 2029350 2056408 2066700 2094256 2164640 2229840 2245814 2270880 2313459 2322750 2356038 2365500 2435220 2477600 2480040 2570510 2583375 2617820 2705800 2755600 2787300 2838600 2934000 2988000 3044025 3084612 3097000 3100050 3141384 3154000 3246960 3272275 3306720 3368721 3382250 3444500 3484125 3548250 3716400 3784800 3855765 3896352 3926730 4058700 4112816 4133400 4188512 4459680 4491628 4626918 4645500 4712076 4731000 4870440 4960080 5073375 5141020 5166750 5235640 5411600 5511200 5574600 5614535 5677200 5868000 5890095 6088050 6169224 6194000 6200100 6282768 6308000 6426275 6493920 6544550 6737442 6764500 6889000 6968250 7096500 7432800 7711530 7750125 7853460 8117400 8225632 8266800 8983256 9253836 9291000 9424152 9462000 9740880 9816825 9920160 10106163 10146750 10282040 10333500 10471280 10823200 11149200 11229070 11354400 11567295 11780190 12176100 12338448 12388000 12400200 12565536 12852550 13089100 13474884 13529000 13778000 13936500 14193000 15220125 15423060 15500250 15706920 16234800 16361375 16533600 16843605 17966512 18507672 18582000 18848304 18924000 19278825 19481760 19633650 20212326 20293500 20564080 20667000 20942560 21335233 22298400 22458140 23134590 23560380 24352200 24676896 24800400 25705100 26178200 26949768 27058000 27556000 27873000 28072675 28386000 29450475 30440250 30846120 31000500 31413840 32131375 32469600 32722750 33687210 35933024 37015344 37164000 37696608 38557650 39267300 40424652 40587000 41128160 41334000 42670466 44916280 46269180 47120760 48704400 49084125 49600800 50530815 51410200 52356400 53899536 54116000 55746000 56145350 56772000 57836475 58900950 60880500 61692240 62001000 62827680 64005699 64262750 65445500 67374420 74030688 77115300 78534600 80849304 81174000 82668000 84218025 85340932 89832560 92538360 94241520 96394125 97408800 98168250 101061630 102820400 104712800 106676165 107799072 111492000 112290700 115672950 117801900 121761000 123384480 124002000 128011398 128525500 130891000 134748840 140363375 147252375 154230600 157069200 161698608 162348000 168436050 170681864 179665120 185076720 188483040 192017097 192788250 196336500 202123260 205640800 213352330 224581400 231345900 235603800 243522000 248004000 252654075 256022796 257051000 261782000 269497680 280726750 289182375 294504750 308461200 314138400 320028495 323397216 336872100 341363728 370153440 384034194 385576500 392673000 404246520 421090125 426704660 449162800 462691800 471207600 487044000 505308150 512045592 514102000 523564000 533380825 538995360 561453500 578364750 589009500 616922400 640056990 673744200 682727456 768068388 771153000 785346000 808493040 842180250 853409320 898325600 925383600 942415200 960085485 1010616300 1024091184 1028204000 1066761650 1122907000 1156729500 1178019000 1263270375 1280113980 1347488400 1536136776 1542306000 1570692000 1600142475 1616986080 1684360500 1706818640 1850767200 1920170970 2021232600 2048182368 2133523300 2245814000 2313459000 2356038000 2526540750 2560227960 2666904125 2694976800 3072273552 3084612000 3200284950 3368721000 3413637280 3840341940 4042465200 4267046600 4491628000 4626918000 4712076000 4800427425 5053081500 5120455920 5333808250 6144547104 6400569900 6737442000 7680683880 8000712375 8084930400 8534093200 9253836000 9600854850 10106163000 10240911840 10667616500 12801139800 13474884000 15361367760 16001424750 17068186400 19201709700 20212326000 21335233000 24002137125 25602279600 30722735520 32002849500 38403419400 40424652000 42670466000 48004274250 51204559200 64005699000 76806838800 85340932000 96008548500 128011398000 153613677600 192017097000 256022796000 384034194000 768068388000
- Sum of all divisors σ(n): 2922146660160
- Sum of proper divisors (its aliquot sum) s(n): 2154078272160
- 768068388000 is an abundant number, because the sum of its proper divisors (2154078272160) is greater than itself. Its abundance is 1386009884160
Bases of 768068388000
- Binary: 10110010110101000111000110000100101000002
- Hexadecimal: 0xB2D47184A0
- Base-36: 9SUG3540
Squares and roots of 768068388000
- 768068388000 squared (7680683880002) is 589929048644918544000000
- 768068388000 cubed (7680683880003) is 453105853427076170481387072000000000
-
The
square root of 768068388000 is 876395.1095253783 -
The
cube root of 768068388000 is 9157.9857542949
Scales and comparisons
How big is 768068388000?- 768,068,388,000 seconds is equal to 24,422 years, 10 weeks, 2 days, 10 hours.
-
To count from 1 to 768,068,388,000 would take you about forty-eight thousand, eight hundred forty-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 768068388000 cubic inches would be around 763.2 feet tall.
Recreational maths with 768068388000
- 768068388000 backwards is 000883860867
- The number of decimal digits it has is: 12
- The sum of 768068388000's digits is 54
- More coming soon!
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