1138074742896000
1,138,074,742,896,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 1138074742896000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2048 divisors.
1138074742896000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 1138074742896000:
27 × 3 × 53 × 7 × 13 × 127 × 1093 × 1877
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 13 × 127 × 1093 × 1877)See below for interesting mathematical facts about the number 1138074742896000 from the Numbermatics database.
Names of 1138074742896000
- Cardinal: 1138074742896000 can be written as One quadrillion, one hundred thirty-eight trillion, seventy-four billion, seven hundred forty-two million, eight hundred ninety-six thousand.
Scientific notation
- Scientific notation: 1.138074742896 × 1015
Factors of 1138074742896000
Divisors of 1138074742896000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 50 52 56 60 64 65 70 75 78 80 84 91 96 100 104 105 112 120 125 127 128 130 140 150 156 160 168 175 182 192 195 200 208 210 224 240 250 254 260 273 280 300 312 320 325 336 350 364 375 381 384 390 400 416 420 448 455 480 500 508 520 525 546 560 600 624 635 640 650 672 700 728 750 762 780 800 832 840 875 889 896 910 960 975 1000 1016 1040 1050 1092 1093 1120 1200 1248 1270 1300 1344 1365 1400 1456 1500 1524 1560 1600 1625 1651 1664 1680 1750 1778 1820 1877 1905 1920 1950 2000 2032 2080 2100 2184 2186 2240 2275 2400 2496 2540 2600 2625 2667 2688 2730 2800 2912 3000 3048 3120 3175 3200 3250 3279 3302 3360 3500 3556 3640 3754 3810 3900 4000 4064 4160 4200 4368 4372 4445 4480 4550 4800 4875 4953 4992 5080 5200 5250 5334 5460 5465 5600 5631 5824 6000 6096 6240 6350 6500 6558 6604 6720 6825 7000 7112 7280 7508 7620 7651 7800 8000 8128 8255 8320 8400 8736 8744 8890 9100 9385 9525 9600 9750 9906 10160 10400 10500 10668 10920 10930 11200 11262 11375 11557 11648 12000 12192 12480 12700 13000 13116 13139 13208 13335 13440 13650 14000 14209 14224 14560 15016 15240 15302 15600 15875 16000 16256 16395 16510 16800 17472 17488 17780 18200 18770 19050 19500 19812 20320 20800 21000 21336 21840 21860 22225 22400 22524 22750 22953 23114 24000 24384 24401 24765 24960 25400 26000 26232 26278 26416 26670 27300 27325 28000 28155 28418 28448 29120 30032 30480 30604 31200 31750 32790 33020 33600 34125 34671 34944 34976 35560 36400 37540 38100 38255 39000 39417 39624 40640 41275 41600 42000 42627 42672 43680 43720 44450 45048 45500 45906 46228 46925 47625 48000 48768 48802 49530 50800 52000 52464 52556 52832 53340 54600 54650 56000 56310 56836 56896 57785 58240 60064 60960 61208 62400 63500 65580 65695 66040 66675 67200 68250 69342 69952 71045 71120 72800 73203 75080 76200 76510 78000 78834 79248 81280 81975 82550 84000 85254 85344 87360 87440 88900 90096 91000 91812 92456 93850 95250 97604 99060 99463 101600 104000 104928 105112 105664 106680 109200 109300 111125 112000 112620 113672 113792 114765 115570 120128 121920 122005 122416 123825 124800 127000 131160 131390 132080 133350 136500 136625 138684 138811 139904 140775 142090 142240 145600 146406 150160 152400 153020 156000 157668 158496 163950 165100 168000 170508 170688 170807 173355 174720 174880 177800 180192 182000 183624 184912 187700 190500 191275 195208 197085 198120 198926 203200 206375 208000 209856 210224 211328 213135 213360 218400 218600 222250 225240 227344 229530 231140 234625 238379 240256 243840 244010 244832 247650 254000 262320 262780 264160 266700 273000 273250 277368 277622 281550 284180 284480 288925 291200 292812 298389 300320 304800 306040 312000 315336 316992 327900 328475 330200 333375 336000 341016 341376 341614 346710 349760 355225 355600 360384 364000 366015 367248 369824 375400 381000 382550 390416 394170 396240 397852 406400 409875 412750 416433 419712 420448 426270 426720 436800 437200 444500 450480 454688 459060 462280 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8084352640 8134683375 8198736000 8206244000 8329915776 8337543904 8534493760 8616556200 8661806400 8676995600 8961218448 9119188645 9190993280 9296781000 9328099200 9334602550 9473850750 9847492800 9916566400 10001359875 10011918000 10105440800 10161381633 10241392512 10412394720 10421929880 10668117200 10770695250 10827258000 10846244500 10943026374 11201523060 11442192000 11488741600 11660124000 11948291264 12126528960 12309366000 12395708000 12506315856 12631801000 12801740640 13015493400 13027412350 13335146500 13349224000 13548508844 13786489920 13883192960 14001903825 14360927000 14436344000 14590701832 14874849600 14935364080 15158161200 15546832000 15632894820 16002175800 16019068800 16269366750 16412488000 16675087808 16935636055 17068987520 17233112400 17323612800 17353991200 17922436896 18238377290 18593562000 18669205100 18947701500 19541118525 19694985600 20002719750 20023836000 20210881600 20322763266 20824789440 20843859760 21336234400 21541390500 21654516000 21692489000 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71129671431 71689747584 72953509160 74374248000 74676820400 75790806000 78164474100 80010879000 80095344000 81291053064 83375439040 84678180275 85344937600 86165562000 86618064000 86769956000 87544210992 89612184480 91191886450 93346025500 94839561908 97705592625 98474928000 100050526848 101054408000 101613816330 104123947200 104219298800 106681172000 108388070752 109430263740 112015230600 114887416000 116725614656 118549452385 119482912640 121265289600 125063158560 128017406400 130154934000 130274123500 135485088440 136787829675 137864899200 140019038250 142259342862 145907018320 148748496000 149353640800 151581612000 156328948200 160021758000 162582106128 166750878080 169356360550 172331124000 173539912000 175088421984 179224368960 182383772900 186692051000 189679123816 195411185250 202108816000 203227632660 208247894400 208438597600 213362344000 216776141504 218860527480 224030461200 227979716125 229774832000 233451229312 237098904770 250126317120 254034540825 256034812800 260309868000 260548247000 270970176880 273575659350 280038076500 284518685724 291814036640 298707281600 303163224000 312657896400 320043516000 325164212256 338712721100 344662248000 347079824000 350176843968 355648357155 358448737920 364767545800 373384102000 379358247632 390822370500 406455265320 416877195200 423390901375 426724688000 433552283008 437721054960 448060922400 455959432250 474197809540 500252634240 508069081650 520619736000 521096494000 541940353760 547151318700 560076153000 569037371448 583628073280 592747261925 597414563200 606326448000 625315792800 640087032000 650328424512 677425442200 683939148375 689324496000 700353687936 711296714310 729535091600 746768204000 758716495264 781644741000 812910530640 833754390400 846781802750 875442109920 896121844800 911918864500 948395619080 1016138163300 1041239472000 1042192988000 1083880707520 1094302637400 1120152306000 1138074742896 1167256146560 1185494523850 1250631585600 1270172704125 1280174064000 1300656849024 1354850884400 1367878296750 1422593428620 1459070183200 1493536408000 1517432990528 1563289482000 1625821061280 1693563605500 1750884219840 1778241785775 1792243689600 1823837729000 1896791238160 2032276326600 2084385976000 2167761415040 2188605274800 2240304612000 2276149485792 2370989047700 2501263171200 2540345408250 2709701768800 2735756593500 2845186857240 2918140366400 2963736309625 2987072816000 3034865981056 3126578964000 3251642122560 3387127211000 3501768439680 3556483571550 3647675458000 3793582476320 4064552653200 4168771952000 4377210549600 4480609224000 4552298971584 4741978095400 5080690816500 5419403537600 5471513187000 5690373714480 5836280732800 5927472619250 6253157928000 6503284245120 6774254422000 7112967143100 7295350916000 7587164952640 8129105306400 8754421099200 8891208928875 8961218448000 9104597943168 9483956190800 10161381633000 10838807075200 10943026374000 11380747428960 11854945238500 12506315856000 13548508844000 14225934286200 14590701832000 15174329905280 16258210612800 17508842198400 17782417857750 18967912381600 20322763266000 21886052748000 22761494857920 23709890477000 27097017688000 28451868572400 29181403664000 32516421225600 35564835715500 37935824763200 40645526532000 43772105496000 45522989715840 47419780954000 54194035376000 56903737144800 71129671431000 75871649526400 81291053064000 87544210992000 94839561908000 113807474289600 142259342862000 162582106128000 189679123816000 227614948579200 284518685724000 379358247632000 569037371448000 1138074742896000
- Sum of all divisors σ(n): 4686684002058240
- Sum of proper divisors (its aliquot sum) s(n): 3548609259162240
- 1138074742896000 is an abundant number, because the sum of its proper divisors (3548609259162240) is greater than itself. Its abundance is 2410534516266240
Bases of 1138074742896000
- Binary: 1000000101100010010101011001100011100110101100000002
- Hexadecimal: 0x40B12ACC73580
- Base-36: B7EWBHP8QO
Squares and roots of 1138074742896000
- 1138074742896000 squared (11380747428960002) is 1295214120417796502466816000000
- 1138074742896000 cubed (11380747428960003) is 1474050477089752538647769648971739136000000000
-
The
square root of 1138074742896000 is 33735363.3876382011 -
The
cube root of 1138074742896000 is 104405.5522905479
Scales and comparisons
How big is 1138074742896000?- 1,138,074,742,896,000 seconds is equal to 36,187,256 years, 27 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 1,138,074,742,896,000 would take you about one hundred eight million, five hundred sixty-one thousand, seven hundred sixty-nine 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 1138074742896000 cubic inches would be around 8700.5 feet tall.
Recreational maths with 1138074742896000
- 1138074742896000 backwards is 0006982474708311
- 1138074742896000 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 1138074742896000's digits is 60
- More coming soon!
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"Number 1138074742896000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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Numbermatics. (2024). Number 1138074742896000 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/1138074742896000/
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The information we have on file for 1138074742896000 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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