138305013493248
138,305,013,493,248 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138305013493248 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
138305013493248 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138305013493248:
29 × 32 × 7 × 59 × 61 × 163 × 7309
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 59 × 61 × 163 × 7309)See below for interesting mathematical facts about the number 138305013493248 from the Numbermatics database.
Names of 138305013493248
- Cardinal: 138305013493248 can be written as One hundred thirty-eight trillion, three hundred five billion, thirteen million, four hundred ninety-three thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 1.38305013493248 × 1014
Factors of 138305013493248
Divisors of 138305013493248
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 59 61 63 64 72 84 96 112 118 122 126 128 144 163 168 177 183 192 224 236 244 252 256 288 326 336 354 366 384 413 427 448 472 488 489 504 512 531 549 576 652 672 708 732 768 826 854 896 944 976 978 1008 1062 1098 1141 1152 1239 1281 1304 1344 1416 1464 1467 1536 1652 1708 1792 1888 1952 1956 2016 2124 2196 2282 2304 2478 2562 2608 2688 2832 2928 2934 3304 3416 3423 3584 3599 3717 3776 3843 3904 3912 4032 4248 4392 4564 4608 4956 5124 5216 5376 5664 5856 5868 6608 6832 6846 7198 7309 7434 7552 7686 7808 7824 8064 8496 8784 9128 9617 9912 9943 10248 10269 10432 10752 10797 11328 11712 11736 13216 13664 13692 14396 14618 14868 15104 15372 15616 15648 16128 16992 17568 18256 19234 19824 19886 20496 20538 20864 21594 21927 22656 23424 23472 25193 26432 27328 27384 28792 28851 29236 29736 29829 30208 30744 31232 31296 32256 32391 33984 35136 36512 38468 39648 39772 40992 41076 41728 43188 43854 45312 46848 46944 50386 51163 52864 54656 54768 57584 57702 58472 59472 59658 61488 62592 64782 65781 67319 67968 69601 70272 73024 75579 76936 79296 79544 81984 82152 83456 86376 86553 87708 89487 90624 93696 93888 100772 102326 105728 109312 109536 115168 115404 116944 118944 119316 122976 125184 129564 131562 134638 135936 139202 140544 146048 151158 153489 153872 158592 159088 163968 164304 172752 173106 175416 178974 187776 201544 201957 204652 208803 211456 218624 219072 226737 230336 230808 233888 237888 238632 245952 250368 259128 263124 269276 271872 278404 281088 292096 302316 306978 307744 317184 318176 327936 328608 345504 346212 350832 357948 375552 403088 403914 409304 417606 431231 438144 445849 453474 460467 460672 461616 467776 475776 477264 491904 518256 526248 538552 556808 584192 586637 604632 605871 613956 615488 626409 634368 636352 655872 657216 691008 692424 701664 715896 751104 806176 807828 818608 835212 862462 876288 891698 906948 920934 921344 923232 935552 951552 954528 983808 1036512 1052496 1077104 1113616 1173274 1191367 1209264 1211742 1227912 1230976 1252818 1272704 1293693 1314432 1337547 1382016 1384848 1403328 1431792 1612352 1615656 1637216 1670424 1724924 1752576 1759911 1783396 1813896 1841868 1842688 1846464 1871104 1903104 1909056 1967616 2073024 2104992 2154208 2227232 2346548 2382734 2418528 2423484 2455824 2461952 2505636 2545408 2587386 2628864 2675094 2764032 2769696 2806656 2863584 3018617 3120943 3224704 3231312 3274432 3340848 3449848 3519822 3566792 3574101 3627792 3683736 3692928 3742208 3818112 3881079 4012641 4106459 4146048 4209984 4308416 4454464 4693096 4765468 4837056 4846968 4911648 4923904 5011272 5090816 5174772 5257728 5279733 5350188 5528064 5539392 5613312 5727168 6037234 6241886 6449408 6462624 6548864 6681696 6899696 7039644 7133584 7148202 7255584 7367472 7385856 7636224 7762158 8025282 8212918 8292096 8339569 8419968 8616832 8908928 9055851 9362829 9386192 9530936 9674112 9693936 9823296 10022544 10349544 10559466 10700376 10722303 11078784 11226624 11454336 12074468 12319377 12483772 12898816 12925248 13097728 13363392 13799392 14079288 14267168 14296404 14511168 14734944 14771712 15272448 15524316 16050564 16425836 16584192 16679138 16839936 17233664 17817856 18111702 18725658 18772384 19061872 19348224 19387872 19646592 20045088 20699088 21118932 21400752 21444606 22157568 22908672 24148936 24638754 24967544 25018707 25850496 26195456 26305091 26726784 27167553 27598784 28088487 28158576 28534336 28592808 29022336 29469888 31048632 32101128 32851672 33358276 33679872 34467328 35635712 36223404 36958131 37451316 37544768 38123744 38696448 38775744 39293184 40090176 41398176 42237864 42801504 42889212 44315136 45817344 48297872 49277508 49935088 50037414 51700992 52610182 53453568 54335106 55197568 56176974 56317152 57068672 57185616 58044672 58939776 62097264 64202256 65703344 66716552 70290653 72446808 72673387 73916262 74902632 75056121 75089536 76247488 77551488 78586368 78915273 80180352 82796352 84475728 85603008 85778424 96595744 98555016 99870176 100074828 103401984 105220364 106907136 108670212 110395136 112353948 112634304 114137344 114371232 116089344 117879552 124194528 128404512 131406688 133433104 140581306 144893616 145346774 147832524 149805264 150112242 150179072 152494976 155102976 157830546 160360704 165592704 168951456 171206016 171556848 184135637 193191488 197110032 199740352 200149656 210440728 210871959 217340424 218020161 220790272 224707896 225268608 228274688 228742464 235759104 236745819 248389056 256809024 262813376 266866208 281162612 289787232 290693548 295665048 299610528 300224484 300358144 304989952 310205952 315661092 320721408 331185408 337902912 342412032 343113696 368271274 386382976 394220064 399480704 400299312 420881456 421743918 434680848 436040322 449415792 450537216 457484928 473491638 492034571 496778112 508713709 513618048 525626752 533732416 552406911 562325224 579574464 581387096 591330096 599221056 600448968 609979904 631322184 632615877 654060483 662370816 675805824 684824064 686227392 736542548 772765952 788440128 798961408 800598624 841762912 843487836 869361696 872080644 898831584 901074432 914969856 946983276 984069142 993556224 1017427418 1027236096 1051253504 1067464832 1104813822 1124650448 1159148928 1162774192 1182660192 1198442112 1200897936 1262644368 1265231754 1308120966 1351611648 1372454784 1473085096 1476103713 1526141127 1545531904 1576880256 1597922816 1601197248 1657220733 1683525824 1686975672 1738723392 1744161288 1797663168 1829939712 1893966552 1968138284 1987112448 2034854836 2054472192 2102507008 2134929664 2209627644 2249300896 2318297856 2325548384 2365320384 2396884224 2401795872 2525288736 2530463508 2616241932 2703223296 2744909568 2946170192 2952207426 3052282254 3153760512 3202394496 3314441466 3367051648 3373951344 3477446784 3488322576 3595326336 3787933104 3936276568 4069709672 4269859328 4287729833 4419255288 4428311139 4498601792 4578423381 4636595712 4651096768 4730640768 4793768448 4803591744 5050577472 5060927016 5232483864 5489819136 5892340384 5904414852 6104564508 6307521024 6404788992 6628882932 6734103296 6747902688 6954893568 6976645152 7190652672 7575866208 7872553136 8139419344 8575459666 8838510576 8856622278 8997203584 9156846762 9302193536 9461281536 9607183488 10101154944 10121854032 10464967728 11784680768 11808829704 12209129016 12809577984 12863189499 13257765864 13468206592 13495805376 13909787136 13953290304 14381305344 15151732416 15745106272 16278838688 17150919332 17677021152 17713244556 17994407168 18313693524 18604387072 18922563072 19214366976 20202309888 20243708064 20929935456 23569361536 23617659408 24418258032 25726378998 26515531728 26991610752 27906580608 30014108831 30303464832 31490212544 32557677376 34301838664 35354042304 35426489112 35988814336 36627387048 37208774144 38428733952 38589568497 40404619776 40487416128 41859870912 47138723072 47235318816 48836516064 51452757996 53031063456 53983221504 55813161216 60028217662 60606929664 62980425088 65115354752 68603677328 70708084608 70852978224 73254774096 77179136994 80974832256 83719741824 90042326493 94277446144 94470637632 97673032128 102905515992 106062126912 107966443008 111626322432 120056435324 121213859328 125960850176 130230709504 137207354656 141416169216 141705956448 146509548192 154358273988 161949664512 167439483648 180084652986 188941275264 195346064256 205811031984 212124253824 240112870648 251921700352 260461419008 270126979479 274414709312 282832338432 283411912896 293019096384 308716547976 323899329024 334878967296 360169305972 377882550528 390692128512 411622063968 424248507648 480225741296 540253958958 548829418624 566823825792 586038192768 617433095952 720338611944 755765101056 781384257024 823244127936 848497015296 960451482592 1080507917916 1097658837248 1133647651584 1172076385536 1234866191904 1440677223888 1646488255872 1920902965184 2161015835832 2195317674496 2267295303168 2344152771072 2469732383808 2881354447776 3292976511744 3841805930368 4322031671664 4939464767616 5762708895552 6585953023488 7683611860736 8644063343328 9878929535232 11525417791104 15367223721472 17288126686656 19757859070464 23050835582208 34576253373312 46101671164416 69152506746624 138305013493248
- Sum of all divisors σ(n): 474474785241600
- Sum of proper divisors (its aliquot sum) s(n): 336169771748352
- 138305013493248 is an abundant number, because the sum of its proper divisors (336169771748352) is greater than itself. Its abundance is 197864758255104
Bases of 138305013493248
- Binary: 111110111001001101001010011001100101110000000002
- Hexadecimal: 0x7DC9A5332E00
- Base-36: 1D0WG23R40
Squares and roots of 138305013493248
- 138305013493248 squared (1383050134932482) is 19128276757367511347741589504
- 138305013493248 cubed (1383050134932483) is 2645536575030295756745058294242227091668992
-
The
square root of 138305013493248 is 11760315.1953188737 -
The
cube root of 138305013493248 is 51714.5370383861
Scales and comparisons
How big is 138305013493248?- 138,305,013,493,248 seconds is equal to 4,397,671 years, 32 weeks, 2 days, 23 hours, 40 minutes, 48 seconds.
-
To count from 1 to 138,305,013,493,248 would take you about ten million, nine hundred ninety-four thousand, one hundred seventy-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 138305013493248 cubic inches would be around 4309.5 feet tall.
Recreational maths with 138305013493248
- 138305013493248 backwards is 842394310503831
- The number of decimal digits it has is: 15
- The sum of 138305013493248's digits is 54
- More coming soon!
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The information we have on file for 138305013493248 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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