668913168000
668,913,168,000 is an even composite number composed of six prime numbers multiplied together.
668913168000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 668913168000:
27 × 3 × 53 × 7 × 112 × 16453
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 11 × 11 × 16453)See below for interesting mathematical facts about the number 668913168000 from the Numbermatics database.
Names of 668913168000
- Cardinal: 668913168000 can be written as Six hundred sixty-eight billion, nine hundred thirteen million, one hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 6.68913168 × 1011
Factors of 668913168000
Divisors of 668913168000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 32 33 35 40 42 44 48 50 55 56 60 64 66 70 75 77 80 84 88 96 100 105 110 112 120 121 125 128 132 140 150 154 160 165 168 175 176 192 200 210 220 224 231 240 242 250 264 275 280 300 308 320 330 336 350 352 363 375 384 385 400 420 440 448 462 480 484 500 525 528 550 560 600 605 616 640 660 672 700 704 726 750 770 800 825 840 847 875 880 896 924 960 968 1000 1050 1056 1100 1120 1155 1200 1210 1232 1320 1344 1375 1400 1408 1452 1500 1540 1600 1650 1680 1694 1750 1760 1815 1848 1920 1925 1936 2000 2100 2112 2200 2240 2310 2400 2420 2464 2541 2625 2640 2688 2750 2800 2904 3000 3025 3080 3200 3300 3360 3388 3500 3520 3630 3696 3850 3872 4000 4125 4200 4224 4235 4400 4480 4620 4800 4840 4928 5082 5250 5280 5500 5600 5775 5808 6000 6050 6160 6600 6720 6776 7000 7040 7260 7392 7700 7744 8000 8250 8400 8470 8800 9075 9240 9600 9625 9680 9856 10164 10500 10560 11000 11200 11550 11616 12000 12100 12320 12705 13200 13440 13552 14000 14520 14784 15125 15400 15488 16000 16453 16500 16800 16940 17600 18150 18480 19250 19360 20328 21000 21120 21175 22000 22400 23100 23232 24000 24200 24640 25410 26400 27104 28000 28875 29040 29568 30250 30800 32906 33000 33600 33880 35200 36300 36960 38500 38720 40656 42000 42350 44000 45375 46200 46464 48000 48400 49280 49359 50820 52800 54208 56000 57750 58080 60500 61600 63525 65812 66000 67200 67760 72600 73920 77000 77440 81312 82265 84000 84700 88000 90750 92400 96800 98718 101640 105600 105875 108416 112000 115171 115500 116160 121000 123200 127050 131624 132000 135520 145200 147840 154000 162624 164530 168000 169400 176000 180983 181500 184800 193600 197436 203280 211750 230342 231000 232320 242000 246400 246795 254100 263248 264000 271040 290400 308000 317625 325248 329060 336000 338800 345513 361966 363000 369600 387200 394872 406560 411325 423500 460684 462000 484000 493590 508200 526496 528000 542080 542949 575855 580800 616000 635250 658120 677600 691026 723932 726000 739200 789744 813120 822650 847000 904915 921368 924000 968000 987180 1016400 1052992 1085898 1151710 1161600 1232000 1233975 1266881 1270500 1316240 1355200 1382052 1447864 1452000 1579488 1626240 1645300 1694000 1727565 1809830 1842736 1848000 1936000 1974360 1990813 2032800 2056625 2105984 2171796 2303420 2467950 2533762 2541000 2632480 2710400 2714745 2764104 2879275 2895728 2904000 3158976 3290600 3388000 3455130 3619660 3685472 3696000 3800643 3948720 3981626 4065600 4113250 4343592 4524575 4606840 4935900 5067524 5082000 5264960 5429490 5528208 5758550 5791456 5808000 5972439 6169875 6317952 6334405 6581200 6776000 6910260 7239320 7370944 7601286 7897440 7963252 8131200 8226500 8637825 8687184 9049150 9213680 9871800 9954065 10135048 10164000 10529920 10858980 11056416 11517100 11582912 11944878 12339750 12668810 13162400 13552000 13573725 13820520 13935691 14396375 14478640 14741888 15202572 15794880 15926504 16453000 17275650 17374368 18098300 18427360 19003215 19743600 19908130 20270096 20328000 21717960 22112832 22622875 23034200 23165824 23889756 24679500 25337620 26324800 27147450 27641040 27871382 28792750 28957280 29862195 30405144 31589760 31672025 31853008 32906000 34551300 34748736 36196600 36854720 38006430 39487200 39816260 40540192 40656000 41807073 43189125 43435920 44225664 45245750 46068400 47779512 49359000 49770325 50675240 52649600 54294900 55282080 55742764 57585500 57914560 59724390 60810288 63344050 63706016 65812000 67868625 69102600 69497472 69678455 72393200 73709440 76012860 78974400 79632520 81080384 83614146 86378250 86871840 90491500 92136800 95016075 95559024 98718000 99540650 101350480 108589800 110564160 111485528 115171000 115829120 119448780 121620576 126688100 127412032 131624000 135737250 138205200 139356910 144786400 149310975 152025720 157948800 158360125 159265040 162160768 167228292 172756500 173743680 180983000 184273600 190032150 191118048 197436000 199081300 202700960 209035365 217179600 221128320 222971056 230342000 238897560 243241152 248851625 253376200 254824064 263248000 271474500 276410400 278713820 289572800 298621950 304051440 316720250 318530080 334456584 345513000 347487360 348392275 361966000 368547200 380064300 382236096 394872000 398162600 405401920 418070730 434359200 445942112 460684000 475080375 477795120 486482304 497703250 506752400 542949000 552820800 557427640 579145600 597243900 608102880 633440500 637060160 668913168 691026000 696784550 723932000 746554875 760128600 764472192 789744000 796325200 810803840 836141460 868718400 891884224 921368000 950160750 955590240 995406500 1013504800 1045176825 1085898000 1105641600 1114855280 1194487800 1216205760 1266881000 1274120320 1337826336 1382052000 1393569100 1447864000 1493109750 1520257200 1592650400 1672282920 1737436800 1741961375 1783768448 1842736000 1900321500 1911180480 1990813000 2027009600 2090353650 2171796000 2229710560 2388975600 2432411520 2533762000 2675652672 2764104000 2787138200 2895728000 2986219500 3040514400 3185300800 3344565840 3483922750 3800643000 3822360960 3981626000 4054019200 4180707300 4343592000 4459421120 4777951200 5067524000 5225884125 5351305344 5528208000 5574276400 5972439000 6081028800 6370601600 6689131680 6967845500 7601286000 7963252000 8361414600 8687184000 8918842240 9555902400 10135048000 10451768250 11148552800 11944878000 12162057600 13378263360 13935691000 15202572000 15926504000 16722829200 19111804800 20270096000 20903536500 22297105600 23889756000 26756526720 27871382000 30405144000 31853008000 33445658400 41807073000 44594211200 47779512000 55742764000 60810288000 66891316800 83614146000 95559024000 111485528000 133782633600 167228292000 222971056000 334456584000 668913168000
- Sum of all divisors σ(n): 2785722750720
- Sum of proper divisors (its aliquot sum) s(n): 2116809582720
- 668913168000 is an abundant number, because the sum of its proper divisors (2116809582720) is greater than itself. Its abundance is 1447896414720
Bases of 668913168000
- Binary: 10011011101111100101010011101110100000002
- Hexadecimal: 0x9BBE54EE80
- Base-36: 8JALMNPC
Squares and roots of 668913168000
- 668913168000 squared (6689131680002) is 447444826323796224000000
- 668913168000 cubed (6689131680003) is 299301736281460325982277632000000000
-
The
square root of 668913168000 is 817871.1194314175 -
The
cube root of 668913168000 is 8745.6061444493
Scales and comparisons
How big is 668913168000?- 668,913,168,000 seconds is equal to 21,269 years, 19 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 668,913,168,000 would take you about forty-two thousand, five hundred thirty-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 668913168000 cubic inches would be around 728.8 feet tall.
Recreational maths with 668913168000
- 668913168000 backwards is 000861319866
- 668913168000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 668913168000's digits is 48
- More coming soon!
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The information we have on file for 668913168000 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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