138738415374000
138,738,415,374,000 is an even composite number composed of eight prime numbers multiplied together.
138738415374000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 138738415374000:
24 × 32 × 53 × 13 × 31 × 37 × 732 × 97
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 31 × 37 × 73 × 73 × 97)See below for interesting mathematical facts about the number 138738415374000 from the Numbermatics database.
Names of 138738415374000
- Cardinal: 138738415374000 can be written as One hundred thirty-eight trillion, seven hundred thirty-eight billion, four hundred fifteen million, three hundred seventy-four thousand.
Scientific notation
- Scientific notation: 1.38738415374 × 1014
Factors of 138738415374000
Divisors of 138738415374000
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 31 36 37 39 40 45 48 50 52 60 62 65 72 73 74 75 78 80 90 93 97 100 104 111 117 120 124 125 130 144 146 148 150 155 156 180 185 186 194 195 200 208 219 222 225 234 240 248 250 260 279 291 292 296 300 310 312 325 333 360 365 370 372 375 388 390 400 403 438 444 450 465 468 481 485 496 500 520 555 558 582 584 585 592 600 620 624 650 657 666 720 730 740 744 750 775 776 780 806 873 876 888 900 925 930 936 949 962 970 975 1000 1040 1095 1110 1116 1125 1147 1164 1168 1170 1200 1209 1240 1261 1300 1314 1332 1395 1443 1455 1460 1480 1488 1500 1550 1552 1560 1612 1625 1665 1746 1752 1776 1800 1825 1850 1860 1872 1898 1924 1940 1950 2000 2015 2190 2220 2232 2250 2263 2294 2325 2328 2340 2405 2418 2425 2480 2522 2600 2628 2664 2701 2775 2790 2847 2886 2910 2920 2925 2960 3000 3007 3100 3120 3224 3250 3285 3330 3441 3492 3504 3589 3600 3627 3650 3700 3720 3783 3796 3848 3875 3880 3900 4030 4329 4365 4380 4440 4464 4500 4526 4588 4625 4650 4656 4680 4745 4810 4836 4850 4875 5044 5200 5256 5328 5329 5402 5475 5550 5580 5694 5735 5772 5820 5840 5850 6000 6014 6045 6200 6305 6448 6500 6570 6660 6789 6882 6975 6984 7081 7178 7215 7254 7275 7300 7400 7440 7566 7592 7696 7750 7760 7800 8060 8103 8325 8541 8658 8730 8760 8880 9000 9021 9052 9125 9176 9250 9300 9360 9490 9620 9672 9700 9750 10075 10088 10323 10512 10658 10767 10804 10950 11100 11160 11315 11349 11388 11470 11544 11625 11640 11700 12025 12028 12090 12125 12400 12610 13000 13140 13320 13505 13578 13764 13875 13950 13968 14162 14235 14356 14430 14508 14550 14600 14625 14800 14911 15035 15132 15184 15500 15600 15987 16120 16206 16425 16650 17082 17205 17316 17460 17520 17945 18000 18042 18104 18135 18250 18352 18500 18600 18915 18980 19240 19344 19400 19500 20150 20176 20367 20646 21243 21316 21534 21608 21645 21825 21900 22200 22320 22630 22698 22776 22940 23088 23250 23280 23400 23725 24050 24056 24180 24250 24309 25220 26000 26280 26640 26645 27010 27063 27156 27375 27528 27750 27900 28324 28470 28675 28712 28860 29016 29100 29200 29250 29419 29822 30070 30225 30264 31000 31525 31974 32240 32301 32412 32850 33300 33945 34164 34410 34632 34875 34920 35113 35405 35890 36075 36084 36208 36270 36375 36500 37000 37200 37830 37960 38480 38800 39000 39091 40300 40515 40734 41292 41625 42486 42632 42705 43068 43216 43290 43650 43800 44400 44733 45105 45260 45396 45552 45880 46500 46657 46800 47450 47961 48100 48112 48360 48500 48618 50375 50440 51615 52560 53290 53835 54020 54126 54312 54750 55056 55500 55800 56575 56648 56745 56940 57350 57424 57720 58032 58200 58500 58838 59644 60125 60140 60450 60528 62000 63050 63729 63948 64602 64824 65700 66600 67525 67890 68328 68820 69264 69277 69750 69840 70226 70810 71175 71780 72150 72168 72540 72750 73000 74000 74555 75175 75660 75920 78000 78182 79935 80600 81030 81468 82125 82584 83250 83731 84972 85264 85410 86025 86136 86580 87300 87600 88257 89466 89725 90210 90520 90675 90792 91760 92053 93000 93314 94575 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6811922000 6876408375 6885281160 7114790532 7151464710 7172167875 7210936350 7309716300 7334835600 7459054590 7499373804 7559852625 7602104952 7650312400 7663412250 7689747000 7707689743 7731313200 7918859325 7946071900 8012151500 8063842800 8121907000 8332637560 8446783280 8560929000 8606601450 8678202000 8893488165 8950865508 9137145375 9168544500 9227696400 9304434000 9374217255 9486387376 9502631190 9535286280 9562890500 9614581800 9664141500 9746288400 9796527000 9932589875 9945406120 9999165072 10079803500 10217883000 10273114800 10415796950 10558479100 10672185798 11002253400 11188581885 11442343536 11475468600 11534620500 11537498160 11857984220 11919107850 11934487344 12018227250 12095764200 12182860500 12224726000 12261459600 12431757650 12498956340 12670174920 12841393500 12885522000 13017303000 13198098875 13439738000 13752816750 13770562320 14229581064 14302929420 14344335750 14421872700 14619432600 14822480275 14918109180 14998747608 15119705250 15204209904 15326824500 15379494000 15415379486 15623695425 15837718650 15892143800 16024303000 16243814000 16665275120 17121858000 17213202900 17786976330 17878661775 17901731016 18027340875 18274290750 18337089000 18647636475 18748434510 19005262380 19070572560 19125781000 19229163600 19328283000 19593054000 19865179750 19890812240 20159607000 20435766000 20831593900 21116958200 21344371596 21516503625 22004506800 22377163770 22950937200 23069241000 23123069229 23715968440 23756577975 23838215700 24036454500 24191528400 24365721000 24863515300 24997912680 25340349840 25682787000 26034606000 26039492375 26396197750 26680464495 27505633500 28459162128 28605858840 28688671500 28843745400 29238865200 29644960550 29797769625 29836218360 29997495216 30239410500 30653649000 30830758972 31079394125 31247390850 31675437300 31784287600 32048606000 34426405800 35573952660 35757323550 35803462032 36054681750 36548581500 36674178000 37295272950 37496869020 38010524760 38251562000 38538448715 38656566000 39594296625 39730359500 40319214000 41663187800 42233916400 42688743192 43033007250 44467440825 44754327540 46138482000 46246138458 46871086275 47431936880 47513155950 47676431400 48072909000 48731442000 49727030600 49995825360 51365574000 52078984750 52792395500 53360928990 55011267000 55942909425 57211717680 57377343000 57687490800 59289921100 59595539250 59672436720 60478821000 61307298000 61661517944 62158788250 62494781700 63350874600 68852811600 69369207687 71147905320 71514647100 72109363500 73097163000 74112401375 74590545900 74993738040 76021049520 77076897430 78118477125 79188593250 79460719000 83326375600 85377486384 86066014500 88934881650 89393308875 89508655080 92492276916 93238182375 93742172550 95026311900 95352862800 96145818000 99454061200 104157969500 105584791000 106721857980 110022534000 111885818850 114754686000 115615346145 118579842200 118782889875 119191078500 120957642000 123323035888 124317576500 124989563400 126701749200 133402322475 138738415374 142295810640 143029294200 144218727000 146194326000 148224802750 149181091800 149987476080 154153794860 156236954250 158377186500 158921438000 172132029000 177869763300 178786617750 179017310160 184984553832 186476364750 187484345100 190052623800 192692243575 208315939000 211169582000 213443715960 222337204125 223771637700 231230692290 234355431375 237159684400 237565779750 238382157000 248635153000 249979126800 266804644950 277476830748 279714547125 286058588400 288437454000 296449605500 298362183600 308307589720 312473908500 316754373000 344264058000 346846038435 355739526600 357573235500 369969107664 372952729500 374968690200 380105247600 385384487150 416631878000 426887431920 444674408250 447543275400 462461384580 468710862750 475131559500 476764314000 497270306000 533609289900 554953661496 559429094250 578076730725 592899211000 616615179440 624947817000 633508746000 667011612375 693692076870 711479053200 715146471000 745905459000 749937380400 770768974300 889348816500 895086550800 924922769160 937421725500 950263119000 963461217875 1067218579800 1109907322992 1118858188500 1156153461450 1185798422000 1249895634000 1334023224750 1387384153740 1430292942000 1491810918000 1541537948600 1734230192175 1778697633000 1849845538320 1874843451000 1900526238000 1926922435750 2134437159600 2237716377000 2312306922900 2668046449500 2774768307480 2890383653625 3083075897200 3468460384350 3557395266000 3749686902000 3853844871500 4475432754000 4624613845800 5336092899000 5549536614960 5780767307250 6936920768700 7707689743000 8671150960875 9249227691600 10672185798000 11561534614500 13873841537400 15415379486000 17342301921750 23123069229000 27747683074800 34684603843500 46246138458000 69369207687000 138738415374000
- Sum of all divisors σ(n): 566698806955008
- Sum of proper divisors (its aliquot sum) s(n): 427960391581008
- 138738415374000 is an abundant number, because the sum of its proper divisors (427960391581008) is greater than itself. Its abundance is 289221976207008
Bases of 138738415374000
- Binary: 111111000101110100011011111011100001110101100002
- Hexadecimal: 0x7E2E8DF70EB0
- Base-36: 1D6FJQE6K0
Squares and roots of 138738415374000
- 138738415374000 squared (1387384153740002) is 19248347900488559559876000000
- 138738415374000 cubed (1387384153740003) is 2670485286281242593753015111933624000000000
-
The
square root of 138738415374000 is 11778727.2391375123 -
The
cube root of 138738415374000 is 51768.4994265631
Scales and comparisons
How big is 138738415374000?- 138,738,415,374,000 seconds is equal to 4,411,452 years, 24 weeks, 11 hours.
-
To count from 1 to 138,738,415,374,000 would take you about eleven million, twenty-eight thousand, six hundred thirty-one 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 138738415374000 cubic inches would be around 4314 feet tall.
Recreational maths with 138738415374000
- 138738415374000 backwards is 000473514837831
- The number of decimal digits it has is: 15
- The sum of 138738415374000's digits is 54
- More coming soon!
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"Number 138738415374000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 138738415374000 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138738415374000/
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The information we have on file for 138738415374000 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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