138325301949744
138,325,301,949,744 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138325301949744 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
138325301949744 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 138325301949744:
24 × 33 × 7 × 13 × 17 × 59 × 18732
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 17 × 59 × 1873 × 1873)See below for interesting mathematical facts about the number 138325301949744 from the Numbermatics database.
Names of 138325301949744
- Cardinal: 138325301949744 can be written as One hundred thirty-eight trillion, three hundred twenty-five billion, three hundred one million, nine hundred forty-nine thousand, seven hundred forty-four.
Scientific notation
- Scientific notation: 1.38325301949744 × 1014
Factors of 138325301949744
Divisors of 138325301949744
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 24 26 27 28 34 36 39 42 48 51 52 54 56 59 63 68 72 78 84 91 102 104 108 112 117 118 119 126 136 144 153 156 168 177 182 189 204 208 216 221 234 236 238 252 272 273 306 312 336 351 354 357 364 378 408 413 432 442 459 468 472 476 504 531 546 612 624 663 702 708 714 728 756 767 816 819 826 884 918 936 944 952 1003 1008 1062 1071 1092 1224 1239 1326 1404 1416 1428 1456 1512 1534 1547 1593 1638 1652 1768 1836 1872 1873 1904 1989 2006 2124 2142 2184 2301 2448 2457 2478 2652 2808 2832 2856 3009 3024 3068 3094 3186 3213 3276 3304 3536 3672 3717 3746 3978 4012 4248 4284 4368 4602 4641 4914 4956 5304 5369 5616 5619 5712 5967 6018 6136 6188 6372 6426 6552 6608 6903 7021 7344 7434 7492 7956 8024 8496 8568 9027 9204 9282 9828 9912 10608 10738 11151 11238 11934 12036 12272 12376 12744 12852 13039 13104 13111 13806 13923 14042 14868 14984 15912 16048 16107 16857 17136 18054 18408 18564 19656 19824 20709 21063 21476 22302 22476 23868 24072 24349 24752 25488 25704 26078 26222 27081 27612 27846 28084 29736 29968 31824 31841 32214 33714 36108 36816 37128 39117 39312 39333 41418 41769 42126 42952 44604 44952 47736 48144 48321 48698 50571 51408 52156 52444 54162 55224 55692 56168 59472 63189 63682 64428 67428 72216 73047 74256 78234 78666 82836 83538 84252 85904 89208 89904 91273 95472 95523 96642 97396 101142 104312 104888 108324 110448 110507 111384 112336 117351 117999 126378 127364 128856 134856 144432 144963 146094 156468 157332 165672 167076 168504 170443 178416 182546 189567 191046 193284 194792 202284 208624 209776 216648 219141 221014 222768 222887 234702 235998 252756 254728 257712 269712 273819 286569 289926 292188 312936 314664 331344 331521 334152 337008 340886 352053 353997 365092 379134 382092 386568 389584 404568 413933 433296 438282 442028 445774 469404 471996 505512 509456 511329 547638 573138 579852 584376 625872 629328 657423 663042 668304 668661 681772 704106 707994 730184 758268 764184 773136 773549 809136 821457 827866 859707 876564 884056 891548 938808 943992 994563 1011024 1022658 1095276 1146276 1159704 1168752 1241799 1314846 1326084 1337322 1363544 1408212 1415988 1436591 1460368 1516536 1528368 1533987 1547098 1642914 1655732 1719414 1753128 1768112 1783096 1877616 1878619 1887984 1989126 2005983 2045316 2190552 2292552 2319408 2320647 2464371 2483598 2629692 2652168 2674644 2727088 2816424 2831976 2873182 2897531 2983689 3033072 3067974 3094196 3285828 3311464 3438828 3506256 3508129 3566192 3725397 3757238 3978252 4011966 4090632 4309773 4381104 4585104 4601961 4641294 4928742 4967196 5259384 5304336 5349288 5632848 5635857 5663952 5746364 5795062 5967378 6017949 6135948 6188392 6571656 6622928 6877656 6961941 7016258 7450794 7514476 7956504 8023932 8181264 8619546 8692593 9203922 9282588 9857484 9934392 10056137 10518768 10524387 10698576 11176191 11271714 11492728 11590124 11934756 12035898 12271896 12376784 12929319 13143312 13150333 13755312 13923882 14032516 14901588 15028952 15913008 16047864 16907571 17239092 17385186 18407844 18565176 19714968 19868784 20112274 20885823 21048774 22352382 22543428 22985456 23180248 23869512 24071796 24422047 24543792 24556903 25858638 26077779 26300666 27847764 28065032 29803176 30057904 30168411 31573161 32095728 33815142 34478184 34770372 36815688 37130352 38787957 39429936 39450999 40224548 41771646 42097548 44704764 45086856 45605677 46360496 47739024 48143592 48844094 49113806 50722713 51717276 52155558 52601332 55695528 56130064 59606352 59638193 60336822 63146322 67630284 68956368 69540744 73266141 73631376 73670709 77575914 78233337 78901998 80449096 83543292 84195096 89409528 90173712 90505233 91211354 94719483 96287184 97688188 98227612 101445426 103434552 104311116 105202664 111391056 118352997 119276386 120673644 126292644 135260568 136817031 139081488 146532282 147341418 155151828 156466674 157803996 160898192 167086584 168390192 170954329 178819056 178914579 181010466 182422708 189438966 195376376 196455224 202890852 206869104 206979611 208622232 210405328 219798423 221012127 236705994 238552772 241347288 252585288 270521136 271515699 273634062 293064564 294682836 310303656 312933348 315607992 319239739 334173168 341908658 355058991 357829158 362020932 364845416 378877932 390752752 392910448 405781704 410451093 413959222 417244464 417467351 439596846 442024254 473411988 477105544 482694576 505170576 512862987 536743737 543031398 547268124 586129128 589365672 620607312 620938833 625866696 631215984 638479478 659395269 663036381 683817316 710117982 715658316 724041864 729690832 757755864 775296509 811563408 820902186 827918444 834934702 879193692 884048508 946823976 954211088 957719217 1025725974 1073487474 1086062796 1094536248 1172258256 1178731344 1231353279 1241877666 1251733392 1252402053 1276958956 1318790538 1326072762 1367634632 1420235964 1431316632 1448083728 1448857277 1515511728 1538588961 1550593018 1610231211 1641804372 1655836888 1669869404 1758387384 1768097016 1862816499 1893647952 1915438434 2051451948 2146974948 2172125592 2189072496 2325889527 2462706558 2483755332 2504804106 2553917912 2637581076 2652145524 2690734943 2735269264 2840471928 2862633264 2873157651 2897714554 3077177922 3101186036 3220462422 3283608744 3311673776 3339738808 3516774768 3518653387 3536194032 3725632998 3757206159 3830876868 4102903896 4293949896 4344251184 4346571831 4615766883 4651779054 4925413116 4967510664 5009608212 5107835824 5275162152 5304291048 5381469886 5427075563 5588449497 5680943856 5746315302 5795429108 6154355844 6202372072 6440924844 6567217488 6679477616 6977668581 7037306774 7451265996 7514412318 7661753736 8072204829 8205807792 8587899792 8619472953 8693143662 9231533766 9303558108 9850826232 9935021328 10019216424 10550324304 10555960161 10608582096 10762939772 10854151126 11176898994 11271618477 11492630604 11590858216 12308711688 12404744144 12881849688 13039715493 13955337162 14074613548 14902531992 15028824636 15323507472 16144409658 16281226689 17238945906 17386287324 18463067532 18607116216 18835144601 19701652464 20038432848 20933005743 21111920322 21525879544 21708302252 22353797988 22543236954 22985261208 23181716432 24216614487 24617423376 24630573709 25763699376 26079430986 27910674324 28149227096 29805063984 30057649272 31667880483 32288819316 32562453378 34477891812 34772574648 36926135064 37214232432 37670289202 39119146479 41866011486 42223840644 43051759088 43416604504 44707595976 45086473908 45742494031 45970522416 48433228974 48843680067 49261147418 52158861972 55821348648 56298454192 56505433803 60115298544 63335760966 64577638632 65124906756 68955783624 69545149296 72649843461 73852270128 73891721127 75340578404 78238292958 83732022972 84447681288 86833209008 89415191952 90172947816 91484988062 95003641449 96866457948 97687360134 98522294836 104317723944 111642697296 113010867606 126671521932 129155277264 130249813512 137227482093 137911567248 145299686922 146531040201 147783442254 150681156808 156476585916 167464045944 168895362576 169516301409 180345895632 182969976124 190007282898 193732915896 195374720268 197044589672 208635447888 221675163381 226021735212 253343043864 260499627024 274454964186 290599373844 293062080402 295566884508 301362313616 312953171832 320197458217 334928091888 339032602818 365939952248 380014565796 387465831792 390749440536 394089179344 411682446279 443350326762 452043470424 506686087728 508548904227 548909928372 581198747688 586124160804 591133769016 625906343664 640394916434 665025490143 678065205636 731879904496 760029131592 781498881072 823364892558 886700653524 904086940848 960592374651 1017097808454 1097819856744 1162397495376 1172248321608 1182267538032 1235047338837 1280789832868 1330050980286 1356130411272 1520058263184 1646729785116 1773401307048 1921184749302 2034195616908 2195639713488 2344496643216 2470094677674 2561579665736 2660101960572 2712260822544 2881777123953 3293459570232 3546802614096 3842369498604 4068391233816 4940189355348 5123159331472 5320203921144 5763554247906 6586919140464 7684738997208 8136782467632 8645331371859 9880378710696 10640407842288 11527108495812 15369477994416 17290662743718 19760757421392 23054216991624 34581325487436 46108433983248 69162650974872 138325301949744
- Sum of all divisors σ(n): 526466753971200
- Sum of proper divisors (its aliquot sum) s(n): 388141452021456
- 138325301949744 is an abundant number, because the sum of its proper divisors (388141452021456) is greater than itself. Its abundance is 249816150071712
Bases of 138325301949744
- Binary: 111110111001110010111100111110001110101001100002
- Hexadecimal: 0x7DCE5E7C7530
- Base-36: 1D15RLBSC0
Squares and roots of 138325301949744
- 138325301949744 squared (1383253019497442) is 19133889159487851247901665536
- 138325301949744 cubed (1383253019497443) is 2646700995459090455597853299255645768822784
-
The
square root of 138325301949744 is 11761177.7450110837 -
The
cube root of 138325301949744 is 51717.0656448057
Scales and comparisons
How big is 138325301949744?- 138,325,301,949,744 seconds is equal to 4,398,316 years, 38 weeks, 1 day, 2 hours, 2 minutes, 24 seconds.
-
To count from 1 to 138,325,301,949,744 would take you about ten million, nine hundred ninety-five thousand, seven hundred ninety-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 138325301949744 cubic inches would be around 4309.8 feet tall.
Recreational maths with 138325301949744
- 138325301949744 backwards is 447949103523831
- 138325301949744 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138325301949744's digits is 63
- More coming soon!
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The information we have on file for 138325301949744 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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