814468992064000
814,468,992,064,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 814468992064000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
814468992064000 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 814468992064000:
29 × 53 × 7 × 13 × 19 × 27132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 19 × 2713 × 2713)See below for interesting mathematical facts about the number 814468992064000 from the Numbermatics database.
Names of 814468992064000
- Cardinal: 814468992064000 can be written as Eight hundred fourteen trillion, four hundred sixty-eight billion, nine hundred ninety-two million, sixty-four thousand.
Scientific notation
- Scientific notation: 8.14468992064 × 1014
Factors of 814468992064000
Divisors of 814468992064000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 19 20 25 26 28 32 35 38 40 50 52 56 64 65 70 76 80 91 95 100 104 112 125 128 130 133 140 152 160 175 182 190 200 208 224 247 250 256 260 266 280 304 320 325 350 364 380 400 416 448 455 475 494 500 512 520 532 560 608 640 650 665 700 728 760 800 832 875 896 910 950 988 1000 1040 1064 1120 1216 1235 1280 1300 1330 1400 1456 1520 1600 1625 1664 1729 1750 1792 1820 1900 1976 2000 2080 2128 2240 2275 2375 2432 2470 2560 2600 2660 2713 2800 2912 3040 3200 3250 3325 3328 3458 3500 3584 3640 3800 3952 4000 4160 4256 4480 4550 4750 4864 4940 5200 5320 5426 5600 5824 6080 6175 6400 6500 6650 6656 6916 7000 7280 7600 7904 8000 8320 8512 8645 8960 9100 9500 9728 9880 10400 10640 10852 11200 11375 11648 12160 12350 12800 13000 13300 13565 13832 14000 14560 15200 15808 16000 16625 16640 17024 17290 17920 18200 18991 19000 19760 20800 21280 21704 22400 22750 23296 24320 24700 26000 26600 27130 27664 28000 29120 30400 30875 31616 32000 33250 33280 34048 34580 35269 36400 37982 38000 39520 41600 42560 43225 43408 44800 45500 46592 48640 49400 51547 52000 53200 54260 55328 56000 58240 60800 61750 63232 64000 66500 67825 68096 69160 70538 72800 75964 76000 79040 83200 85120 86450 86816 89600 91000 94955 98800 103094 104000 106400 108520 110656 112000 116480 121600 123500 126464 133000 135650 138320 141076 145600 151928 152000 158080 166400 170240 172900 173632 176345 182000 189910 197600 206188 208000 212800 216125 217040 221312 224000 232960 243200 246883 247000 257735 266000 271300 276640 282152 291200 303856 304000 316160 339125 340480 345800 347264 352690 360829 364000 379820 395200 412376 416000 425600 432250 434080 442624 448000 474775 493766 494000 515470 532000 542600 553280 564304 582400 607712 608000 632320 670111 678250 691600 694528 705380 721658 728000 759640 790400 824752 832000 851200 864500 868160 881725 885248 949550 987532 988000 1030940 1064000 1085200 1106560 1128608 1164800 1215424 1216000 1234415 1288675 1340222 1356500 1383200 1389056 1410760 1443316 1456000 1519280 1580800 1649504 1702400 1729000 1736320 1763450 1804145 1899100 1975064 1976000 2061880 2128000 2170400 2213120 2257216 2373875 2430848 2468830 2577350 2680444 2713000 2766400 2821520 2886632 2912000 3038560 3161600 3299008 3350555 3458000 3472640 3526900 3608290 3798200 3950128 3952000 4123760 4256000 4340800 4408625 4426240 4514432 4690777 4747750 4861696 4937660 5154700 5360888 5426000 5532800 5643040 5773264 5824000 6077120 6172075 6443375 6598016 6701110 6916000 6945280 7053800 7216580 7360369 7596400 7900256 7904000 8247520 8512000 8681600 8817250 9020725 9028864 9381554 9495500 9723392 9875320 10309400 10721776 10852000 11065600 11286080 11546528 12154240 12344150 12886750 13196032 13402220 13832000 14107600 14433160 14720738 15192800 15800512 15808000 16495040 16752775 17363200 17634500 18041450 18057728 18763108 18991000 19750640 20618800 21443552 21704000 22131200 22572160 23093056 23453885 24308480 24688300 25773500 26392064 26804440 27664000 28215200 28866320 29441476 30385600 30860375 31601024 32990080 33505550 34726400 35269000 36082900 36801845 37526216 37982000 39501280 41237600 42887104 43408000 45103625 45144320 46186112 46907770 48616960 49376600 51522583 51547000 53608880 55328000 56430400 57732640 58882952 60771200 61720750 63202048 65980160 67011100 70538000 72165800 73603690 75052432 75964000 79002560 82475200 83763875 85774208 86816000 90207250 90288640 92372224 93815540 95684797 98753200 103045166 103094000 107217760 110656000 112860800 115465280 117269425 117765904 121542400 123441500 126404096 131960320 134022200 139847011 141076000 144331600 147207380 150104864 151928000 158005120 164950400 167527750 171548416 173632000 180414500 184009225 184744448 187631080 191369594 197506400 206090332 206188000 214435520 225721600 230930560 234538850 235531808 243084800 246883000 257612915 268044400 279694022 282152000 288663200 294414760 300209728 303856000 316010240 329900800 335055500 343096832 360829000 368018450 375262160 382739188 395012800 412180664 412376000 428871040 451443200 461861120 469077700 471063616 478423985 493766000 515225830 536088800 559388044 564304000 577326400 586347125 588829520 600419456 607712000 632020480 659801600 669793579 670111000 699235055 721658000 736036900 750524320 765478376 790025600 824361328 824752000 857742080 920046125 923722240 938155400 942127232 956847970 978929077 987532000 1030451660 1072177600 1118776088 1128608000 1154652800 1172694250 1177659040 1200838912 1215424000 1288064575 1339587158 1340222000 1398470110 1443316000 1472073800 1501048640 1530956752 1580051200 1648722656 1649504000 1715484160 1818011143 1840092250 1876310800 1884254464 1913695940 1957858154 1975064000 2060903320 2144355200 2237552176 2257216000 2309305600 2345388500 2355318080 2392119925 2401677824 2576129150 2679174316 2680444000 2796940220 2886632000 2944147600 3002097280 3061913504 3160102400 3297445312 3299008000 3348967895 3496175275 3636022286 3680184500 3752621600 3768508928 3827391880 3915716308 3950128000 4121806640 4288710400 4475104352 4618611200 4690777000 4710636160 4784239850 4894645385 5152258300 5358348632 5360888000 5593880440 5773264000 5888295200 6004194560 6123827008 6440322875 6594890624 6697935790 6992350550 7272044572 7360369000 7505243200 7654783760 7831432616 7900256000 8243613280 8577420800 8950208704 9090055715 9381554000 9421272320 9568479700 9789290770 10304516600 10716697264 10721776000 11187760880 11546528000 11776590400 11960599625 12008389120 12247654016 12726078001 12880645750 13189781248 13395871580 13984701100 14544089144 14720738000 15010486400 15309567520 15662865232 15800512000 16487226560 16744839475 17480876375 17900417408 18180111430 18763108000 18842544640 19136959400 19578581540 20609033200 21433394528 21443552000 22375521760 23093056000 23553180800 23921199250 24473226925 24495308032 25452156002 25761291500 26379562496 26791743160 27969402200 29088178288 29441476000 30020972800 30619135040 31325730464 32974453120 33489678950 34961752750 35800834816 36360222860 37526216000 38273918800 39157163080 41218066400 42866789056 42887104000 44751043520 45450278575 47106361600 47842398500 48946453850 48990616064 50904312004 51522583000 53583486320 55938804400 58176356576 58882952000 60041945600 61238270080 62651460928 63630390005 65948906240 66979357900 69923505500 71601669632 72720445720 75052432000 76547837600 78314326160 82436132800 83724197375 85733578112 89502087040 90900557150 94212723200 95684797000 97892907700 101808624008 103045166000 107166972640 111877608800 116352713152 117765904000 122366134625 122476540160 125302921856 127260780010 131897812480 133958715800 139847011000 145440891440 150104864000 153095675200 156628652320 164872265600 167448394750 171467156224 179004174080 181801114300 191369594000 195785815400 203617248016 206090332000 214333945280 223755217600 227251392875 232705426304 235531808000 244732269250 244953080320 250605843712 254521560020 267917431600 279694022000 290881782880 300209728000 306191350400 313257304640 318151950025 329744531200 334896789500 342934312448 358008348160 363602228600 382739188000 391571630800 407234496032 412180664000 428667890560 447510435200 454502785750 465410852608 471063616000 489464538500 501211687424 509043120040 535834863200 559388044000 581763565760 612382700800 626514609280 636303900050 659489062400 669793579000 727204457200 765478376000 783143261600 814468992064 824361328000 857335781120 895020870400 909005571500 930821705216 978929077000 1018086240080 1071669726400 1118776088000 1163527131520 1224765401600 1253029218560 1272607800100 1339587158000 1454408914400 1530956752000 1566286523200 1590759750125 1628937984128 1648722656000 1714671562240 1790041740800 1818011143000 1957858154000 2036172480160 2143339452800 2237552176000 2327054263040 2506058437120 2545215600200 2679174316000 2908817828800 3061913504000 3132573046400 3181519500250 3257875968256 3297445312000 3636022286000 3915716308000 4072344960320 4286678905600 4475104352000 4654108526080 5090431200400 5358348632000 5817635657600 6123827008000 6265146092800 6363039000500 6515751936512 7272044572000 7831432616000 8144689920640 8573357811200 8950208704000 10180862400800 10716697264000 11635271315200 12530292185600 12726078001000 14544089144000 15662865232000 16289379841280 20361724801600 21433394528000 23270542630400 25452156002000 29088178288000 31325730464000 32578759682560 40723449603200 42866789056000 50904312004000 58176356576000 62651460928000 81446899206400 101808624008000 116352713152000 162893798412800 203617248016000 407234496032000 814468992064000
- Sum of all divisors σ(n): 2632133705160960
- Sum of proper divisors (its aliquot sum) s(n): 1817664713096960
- 814468992064000 is an abundant number, because the sum of its proper divisors (1817664713096960) is greater than itself. Its abundance is 1003195721032960
Bases of 814468992064000
- Binary: 101110010011000001010101101111001111011010000000002
- Hexadecimal: 0x2E4C156F3DA00
- Base-36: 80PDW0WPOG
Squares and roots of 814468992064000
- 814468992064000 squared (8144689920640002) is 663359739033748094980096000000
- 814468992064000 cubed (8144689920640003) is 540285938026654888198518927261958144000000000
-
The
square root of 814468992064000 is 28538903.1335123319 -
The
cube root of 814468992064000 is 93388.0953936177
Scales and comparisons
How big is 814468992064000?- 814,468,992,064,000 seconds is equal to 25,897,594 years, 32 weeks, 5 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 814,468,992,064,000 would take you about sixty-four million, seven hundred forty-three thousand, nine hundred eighty-six 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 814468992064000 cubic inches would be around 7782.3 feet tall.
Recreational maths with 814468992064000
- 814468992064000 backwards is 000460299864418
- The number of decimal digits it has is: 15
- The sum of 814468992064000's digits is 61
- More coming soon!
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The information we have on file for 814468992064000 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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