38385148151952000
38,385,148,151,952,000 is an even composite number composed of six prime numbers multiplied together.
38385148151952000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 38385148151952000:
27 × 33 × 53 × 72 × 151 × 2293
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 151 × 229 × 229 × 229)See below for interesting mathematical facts about the number 38385148151952000 from the Numbermatics database.
Names of 38385148151952000
- Cardinal: 38385148151952000 can be written as Thirty-eight quadrillion, three hundred eighty-five trillion, one hundred forty-eight billion, one hundred fifty-one million, nine hundred fifty-two thousand.
Scientific notation
- Scientific notation: 3.8385148151952 × 1016
Factors of 38385148151952000
Divisors of 38385148151952000
- Number of divisors d(n): 3072
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 80 84 90 96 98 100 105 108 112 120 125 126 128 135 140 144 147 150 151 160 168 175 180 189 192 196 200 210 216 224 225 229 240 245 250 252 270 280 288 294 300 302 315 320 336 350 360 375 378 384 392 400 420 432 441 448 450 453 458 480 490 500 504 525 540 560 576 588 600 604 630 640 672 675 687 700 720 735 750 755 756 784 800 840 864 875 882 896 900 906 916 945 960 980 1000 1008 1050 1057 1080 1120 1125 1145 1152 1176 1200 1208 1225 1260 1323 1344 1350 1359 1374 1400 1440 1470 1500 1510 1512 1568 1575 1600 1603 1680 1728 1750 1764 1800 1812 1832 1890 1920 1960 2000 2016 2061 2100 2114 2160 2205 2240 2250 2265 2290 2352 2400 2416 2450 2520 2625 2646 2688 2700 2718 2748 2800 2880 2940 3000 3020 3024 3136 3150 3171 3200 3206 3360 3375 3435 3456 3500 3528 3600 3624 3664 3675 3775 3780 3920 4000 4032 4077 4122 4200 4228 4320 4410 4480 4500 4530 4580 4704 4725 4800 4809 4832 4900 5040 5250 5285 5292 5400 5436 5496 5600 5725 5760 5880 6000 6040 6048 6125 6183 6272 6300 6342 6412 6615 6720 6750 6795 6870 7000 7056 7200 7248 7328 7350 7399 7550 7560 7840 7875 8000 8015 8064 8154 8244 8400 8456 8640 8820 9000 9060 9160 9408 9450 9513 9600 9618 9664 9800 10080 10305 10500 10570 10584 10800 10872 10992 11025 11200 11221 11325 11450 11760 12000 12080 12096 12250 12366 12600 12684 12824 13230 13440 13500 13590 13740 14000 14112 14400 14427 14496 14656 14700 14798 15100 15120 15680 15750 15855 16000 16030 16308 16488 16800 16912 17175 17280 17640 18000 18120 18320 18375 18816 18875 18900 19026 19236 19328 19600 20160 20385 20610 21000 21140 21168 21600 21744 21984 22050 22197 22400 22442 22650 22900 23520 23625 24000 24045 24160 24192 24500 24732 25200 25368 25648 26425 26460 27000 27180 27480 28000 28224 28539 28625 28800 28854 28992 29312 29400 29596 30200 30240 30915 31360 31500 31710 32060 32616 32976 33075 33600 33663 33824 33975 34350 34579 35280 36000 36240 36640 36750 36995 37750 37800 38052 38472 39200 40075 40320 40770 41220 42000 42280 42336 43200 43281 43488 43968 44100 44394 44884 45300 45800 47040 47250 47565 48000 48090 48320 49000 49464 50400 50736 51296 51525 52441 52850 52920 54000 54360 54960 55125 56000 56105 56448 56625 57078 57250 57708 57984 58800 59192 60400 60480 61830 63000 63420 64120 65232 65952 66150 66591 67200 67326 67648 67950 68700 69158 70560 72000 72135 72480 73280 73500 73990 75500 75600 76104 76944 78400 79275 80150 81540 82440 84000 84560 84672 85875 86400 86562 86976 87936 88200 88788 89768 90600 91600 94080 94500 95130 96180 96640 98000 98928 100800 100989 101472 101925 102592 103050 103737 104882 105700 105840 108000 108720 109920 110250 110985 112000 112210 113250 114156 114500 115416 117600 118384 120225 120800 120960 123660 126000 126840 128240 130464 131904 132125 132300 133182 134652 135296 135900 137400 138316 141120 142695 144000 144270 144960 146560 147000 147980 151000 151200 152208 153888 154575 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4874304527232 4896064815300 5077400549200 5084125583040 5187883248000 5222469136320 5238147946500 5295964149000 5331270576660 5440072017000 5483592593136 5587357809600 5649028425600 5686688615104 5712075617850 5802743484800 5986454796000 6052530456000 6092880659040 6120081019125 6208175344000 6266962963584 6346750686500 6355156978800 6397524691992 6528086420400 6664088220825 6704829371520 6854490741420 6984197262000 7061285532000 7108360768880 7253429356000 7263036547200 7311456790848 7616100823800 7833703704480 7943946223500 7981939728000 7996905864990 8123840878720 8160108025500 8381036714400 8473542638400 8530032922656 8568113426775 8704115227200 8885450961100 9078795684000 9139320988560 9312263016000 9415047376000 9520126029750 9596287037988 9792129630600 10154801098400 10168251166080 10444938272640 10476295893000 10591928298000 10662541153320 10880144034000 10967185186272 11106813701375 11174715619200 11373377230208 11424151235700 11972909592000 11995358797485 12105060912000 12185761318080 12240162038250 12693501373000 12710313957600 12795049383984 13056172840800 13328176441650 13708981482840 13968394524000 14122571064000 14216721537760 14280189044625 14506858712000 14622913581696 15232201647600 15667407408960 15887892447000 15993811729980 16320216051000 16762073428800 16947085276800 17060065845312 17136226853550 17408230454400 17770901922200 18157591368000 18278641977120 18624526032000 19040252059500 19192574075976 19584259261200 19992264662475 20309602196800 20952591786000 21183856596000 21325082306640 21760288068000 21934370372544 22213627402750 22848302471400 23945819184000 23990717594970 24371522636160 24480324076500 25387002746000 25420627915200 25590098767968 26112345681600 26656352883300 27417962965680 27936789048000 28245142128000 28433443075520 28560378089250 29013717424000 30464403295200 31334814817920 31775784894000 31987623459960 32640432102000 33320441104125 33524146857600 34120131690624 34272453707100 35541803844400 36315182736000 36557283954240 38080504119000 38385148151952 39168518522400 39984529324950 40619204393600 41905183572000 42367713192000 42650164613280 42840567133875 43520576136000 43868740745088 44427254805500 45696604942800 47981435189940 48960648153000 50774005492000 50841255830400 51180197535936 52224691363200 53312705766600 54835925931360 55873578096000 56866886151040 57120756178500 59976793987425 60928806590400 63551569788000 63975246919920 65280864204000 66640882208250 68544907414200 71083607688800 73114567908480 76161008238000 76770296303904 78337037044800 79969058649900 83810367144000 84735426384000 85300329226560 85681134267750 87041152272000 88854509611000 91393209885600 95962870379880 97921296306000 99961323312375 101548010984000 102360395071872 106625411533200 109671851862720 114241512357000 119953587974850 121857613180800 127103139576000 127950493839840 130561728408000 133281764416500 137089814828400 142167215377600 152322016476000 153540592607808 156674074089600 159938117299800 167620734288000 170600658453120 171362268535500 177709019222000 182786419771200 191925740759760 195842592612000 199922646624750 203096021968000 213250823066400 219343703725440 228483024714000 239907175949700 254206279152000 255900987679680 261123456816000 266563528833000 274179629656800 284334430755200 299883969937125 304644032952000 307081185215616 319876234599600 342724537071000 355418038444000 365572839542400 383851481519520 391685185224000 399845293249500 426501646132800 456966049428000 479814351899400 511801975359360 533127057666000 548359259313600 599767939874250 609288065904000 639752469199200 685449074142000 710836076888000 767702963039040 783370370448000 799690586499000 853003292265600 913932098856000 959628703798800 1066254115332000 1096718518627200 1199535879748500 1279504938398400 1370898148284000 1421672153776000 1535405926078080 1599381172998000 1827864197712000 1919257407597600 2132508230664000 2399071759497000 2559009876796800 2741796296568000 3198762345996000 3838514815195200 4265016461328000 4798143518994000 5483592593136000 6397524691992000 7677029630390400 9596287037988000 12795049383984000 19192574075976000 38385148151952000
- Sum of all divisors σ(n): 166283936028288000
- Sum of proper divisors (its aliquot sum) s(n): 127898787876336000
- 38385148151952000 is an abundant number, because the sum of its proper divisors (127898787876336000) is greater than itself. Its abundance is 89513639724384000
Bases of 38385148151952000
- Binary: 100010000101111100010110110000000011111101110010100000002
- Hexadecimal: 0x885F16C03F7280
- Base-36: AHYEDMEILC0
Squares and roots of 38385148151952000
- 38385148151952000 squared (383851481519520002) is 1473419598647304040881410304000000
- 38385148151952000 cubed (383851481519520003) is 56557429584066420263886128587777050513408000000000
-
The
square root of 38385148151952000 is 195921280.4979387635 -
The
cube root of 38385148151952000 is 337329.5656030597
Scales and comparisons
How big is 38385148151952000?- 38,385,148,151,952,000 seconds is equal to 1,220,528,978 years, 9 weeks.
-
To count from 1 to 38,385,148,151,952,000 would take you about three billion, six hundred sixty-one million, five hundred eighty-six thousand, nine hundred thirty-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 38385148151952000 cubic inches would be around 28110.8 feet tall.
Recreational maths with 38385148151952000
- 38385148151952000 backwards is 00025915184158383
- 38385148151952000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 38385148151952000's digits is 63
- More coming soon!
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MLA style:
"Number 38385148151952000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
APA style:
Numbermatics. (2024). Number 38385148151952000 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/38385148151952000/
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Numbermatics. 2024. "Number 38385148151952000 - Facts about the integer". https://numbermatics.com/n/38385148151952000/
The information we have on file for 38385148151952000 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!
Keywords: Divisors of 38385148151952000, math, Factors of 38385148151952000, curriculum, school, college, exams, university, Prime factorization of 38385148151952000, STEM, science, technology, engineering, physics, economics, calculator, thirty-eight quadrillion, three hundred eighty-five trillion, one hundred forty-eight billion, one hundred fifty-one million, nine hundred fifty-two thousand.