48375311120640
48,375,311,120,640 is an even composite number composed of five prime numbers multiplied together.
48375311120640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 48375311120640:
28 × 32 × 5 × 77 × 5099
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 5099)See below for interesting mathematical facts about the number 48375311120640 from the Numbermatics database.
Names of 48375311120640
- Cardinal: 48375311120640 can be written as Forty-eight trillion, three hundred seventy-five billion, three hundred eleven million, one hundred twenty thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.837531112064 × 1013
Factors of 48375311120640
Divisors of 48375311120640
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 49 56 60 63 64 70 72 80 84 90 96 98 105 112 120 126 128 140 144 147 160 168 180 192 196 210 224 240 245 252 256 280 288 294 315 320 336 343 360 384 392 420 441 448 480 490 504 560 576 588 630 640 672 686 720 735 768 784 840 882 896 960 980 1008 1029 1120 1152 1176 1260 1280 1344 1372 1440 1470 1568 1680 1715 1764 1792 1920 1960 2016 2058 2205 2240 2304 2352 2401 2520 2688 2744 2880 2940 3087 3136 3360 3430 3528 3840 3920 4032 4116 4410 4480 4704 4802 5040 5099 5145 5376 5488 5760 5880 6174 6272 6720 6860 7056 7203 7840 8064 8232 8820 8960 9408 9604 10080 10198 10290 10976 11520 11760 12005 12348 12544 13440 13720 14112 14406 15297 15435 15680 16128 16464 16807 17640 18816 19208 20160 20396 20580 21609 21952 23520 24010 24696 25495 26880 27440 28224 28812 30594 30870 31360 32928 33614 35280 35693 36015 37632 38416 40320 40792 41160 43218 43904 45891 47040 48020 49392 50421 50990 54880 56448 57624 61188 61740 62720 65856 67228 70560 71386 72030 76485 76832 80640 81584 82320 84035 86436 87808 91782 94080 96040 98784 100842 101980 107079 108045 109760 112896 115248 117649 122376 123480 131712 134456 141120 142772 144060 151263 152970 153664 163168 164640 168070 172872 178465 183564 188160 192080 197568 201684 203960 214158 216090 219520 229455 230496 235298 244752 246960 249851 252105 263424 268912 282240 285544 288120 302526 305940 307328 321237 326336 329280 336140 345744 352947 356930 367128 384160 395136 403368 407920 428316 432180 439040 458910 460992 470596 489504 493920 499702 504210 535395 537824 564480 571088 576240 588245 605052 611880 614656 642474 652672 658560 672280 691488 705894 713860 734256 749553 756315 768320 790272 806736 815840 823543 856632 864360 917820 921984 941192 979008 987840 999404 1008420 1058841 1070790 1075648 1142176 1152480 1176490 1210104 1223760 1249255 1284948 1305344 1317120 1344560 1382976 1411788 1427720 1468512 1499106 1512630 1536640 1606185 1613472 1631680 1647086 1713264 1728720 1748957 1764735 1835640 1843968 1882384 1958016 1975680 1998808 2016840 2117682 2141580 2151296 2248659 2284352 2304960 2352980 2420208 2447520 2470629 2498510 2569896 2689120 2765952 2823576 2855440 2937024 2998212 3025260 3073280 3212370 3226944 3263360 3294172 3426528 3457440 3497914 3529470 3671280 3747765 3764768 3916032 3951360 3997616 4033680 4117715 4235364 4283160 4302592 4497318 4568704 4609920 4705960 4840416 4895040 4941258 4997020 5139792 5246871 5294205 5378240 5531904 5647152 5710880 5874048 5996424 6050520 6424740 6453888 6526720 6588344 6853056 6914880 6995828 7058940 7342560 7411887 7495530 7529536 7995232 8067360 8235430 8470728 8566320 8744785 8994636 9137408 9219840 9411920 9680832 9790080 9882516 9994040 10279584 10493742 10588410 10756480 11243295 11294304 11421760 11748096 11992848 12101040 12242699 12353145 12849480 12907776 13176688 13706112 13829760 13991656 14117880 14685120 14823774 14991060 15059072 15740613 15990464 16134720 16470860 16941456 17132640 17489570 17989272 18823840 19361664 19580160 19765032 19988080 20559168 20987484 21176820 21512960 22486590 22588608 22843520 23985696 24202080 24485398 24706290 25698960 26234355 26353376 27412224 27659520 27983312 28235760 29370240 29647548 29982120 30118144 31481226 31980928 32269440 32941720 33882912 34265280 34979140 35978544 36728097 37059435 37647680 38723328 39530064 39976160 41118336 41974968 42353640 44973180 45177216 45687040 47971392 48404160 48970796 49412580 51397920 52468710 52706752 55966624 56471520 58740480 59295096 59964240 61213495 62962452 63961856 64538880 65883440 67765824 68530560 69958280 71957088 73456194 74118870 75295360 78703065 79060128 79952320 82236672 83949936 84707280 85698893 89946360 90354432 95942784 96808320 97941592 98825160 102795840 104937420 105413504 110184291 111933248 112943040 118590192 119928480 122426990 125924904 131766880 135531648 137061120 139916560 143914176 146912388 148237740 150590720 157406130 158120256 159904640 167899872 169414560 171397786 179892720 183640485 191885568 193616640 195883184 197650320 205591680 209874840 210827008 220368582 223866496 225886080 237180384 239856960 244853980 251849808 257096679 263533760 271063296 279833120 287828352 293824776 296475480 314812260 316240512 319809280 335799744 338829120 342795572 359785440 367280970 391766368 395300640 411183360 419749680 428494465 440737164 447732992 451772160 474360768 479713920 489707960 503699616 514193358 527067520 550921455 559666240 575656704 587649552 592950960 599892251 629624520 632481024 671599488 677658240 685591144 719570880 734561940 771290037 783532736 790601280 839499360 856988930 881474328 948721536 959427840 979415920 1007399232 1028386716 1054135040 1101842910 1119332480 1175299104 1185901920 1199784502 1259249040 1285483395 1343198976 1355316480 1371182288 1439141760 1469123880 1542580074 1567065472 1581202560 1678998720 1713977860 1762948656 1799676753 1897443072 1958831840 2014798464 2056773432 2203685820 2238664960 2350598208 2371803840 2399569004 2518498080 2570966790 2742364576 2878283520 2938247760 2999461255 3085160148 3134130944 3162405120 3357997440 3427955720 3525897312 3599353506 3856450185 3917663680 4029596928 4113546864 4199245757 4407371640 4701196416 4743607680 4799138008 5036996160 5141933580 5399030259 5484729152 5876495520 5998922510 6170320296 6715994880 6855911440 7051794624 7198707012 7712900370 7835327360 8227093728 8398491514 8814743280 8998383765 9402392832 9487215360 9598276016 10073992320 10283867160 10798060518 10969458304 11752991040 11997845020 12340640592 12597737271 13711822880 14103589248 14397414024 15425800740 15670654720 16454187456 16796983028 17629486560 17996767530 19196552032 20147984640 20567734320 20996228785 21596121036 21938916608 23505982080 23995690040 24681281184 25195474542 26995151295 27423645760 28207178496 28794828048 30851601480 32908374912 33593966056 35258973120 35993535060 37793211813 38393104064 41135468640 41992457570 43192242072 47011964160 47991380080 49362562368 50390949084 53990302590 54847291520 57589656096 61703202960 62988686355 65816749824 67187932112 70517946240 71987070120 75586423626 76786208128 82270937280 83984915140 86384484144 95982760160 98725124736 100781898168 107980605180 109694583040 115179312192 123406405920 125977372710 134375864224 141035892480 143974140240 151172847252 153572416256 164541874560 167969830280 172768968288 188966059065 191965520320 197450249472 201563796336 215961210360 230358624384 246812811840 251954745420 268751728448 287948280480 302345694504 329083749120 335939660560 345537936576 377932118130 383931040640 403127592672 431922420720 460717248768 493625623680 503909490840 537503456896 575896560960 604691389008 671879321120 691075873152 755864236260 767862081280 806255185344 863844841440 987251247360 1007818981680 1075006913792 1151793121920 1209382778016 1343758642240 1382151746304 1511728472520 1612510370688 1727689682880 2015637963360 2303586243840 2418765556032 2687517284480 3023456945040 3225020741376 3455379365760 4031275926720 4837531112064 5375034568960 6046913890080 6910758731520 8062551853440 9675062224128 12093827780160 16125103706880 24187655560320 48375311120640
- Sum of all divisors σ(n): 195307388640000
- Sum of proper divisors (its aliquot sum) s(n): 146932077519360
- 48375311120640 is an abundant number, because the sum of its proper divisors (146932077519360) is greater than itself. Its abundance is 98556766398720
Bases of 48375311120640
- Binary: 10101111111111010000010011110000111001000000002
- Hexadecimal: 0x2BFF413C3900
- Base-36: H5BB78740
Squares and roots of 48375311120640
- 48375311120640 squared (483753111206402) is 2340170726018716052634009600
- 48375311120640 cubed (483753111206403) is 113206486946569377253760488166752518144000
-
The
square root of 48375311120640 is 6955236.2375867579 -
The
cube root of 48375311120640 is 36436.8862690891
Scales and comparisons
How big is 48375311120640?- 48,375,311,120,640 seconds is equal to 1,538,185 years, 13 weeks, 3 days, 6 hours, 24 minutes.
-
To count from 1 to 48,375,311,120,640 would take you about three million, eight hundred forty-five thousand, four hundred sixty-three 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 48375311120640 cubic inches would be around 3036.4 feet tall.
Recreational maths with 48375311120640
- 48375311120640 backwards is 04602111357384
- 48375311120640 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48375311120640's digits is 45
- More coming soon!
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The information we have on file for 48375311120640 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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