138746055804715008
138,746,055,804,715,008 is an even composite number composed of six prime numbers multiplied together.
138746055804715008 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138746055804715008:
217 × 32 × 13 × 61 × 4957 × 29921
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 61 × 4957 × 29921)See below for interesting mathematical facts about the number 138746055804715008 from the Numbermatics database.
Names of 138746055804715008
- Cardinal: 138746055804715008 can be written as One hundred thirty-eight quadrillion, seven hundred forty-six trillion, fifty-five billion, eight hundred four million, seven hundred fifteen thousand and eight.
Scientific notation
- Scientific notation: 1.38746055804715008 × 1017
Factors of 138746055804715008
Divisors of 138746055804715008
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 61 64 72 78 96 104 117 122 128 144 156 183 192 208 234 244 256 288 312 366 384 416 468 488 512 549 576 624 732 768 793 832 936 976 1024 1098 1152 1248 1464 1536 1586 1664 1872 1952 2048 2196 2304 2379 2496 2928 3072 3172 3328 3744 3904 4096 4392 4608 4758 4957 4992 5856 6144 6344 6656 7137 7488 7808 8192 8784 9216 9516 9914 9984 11712 12288 12688 13312 14274 14871 14976 15616 16384 17568 18432 19032 19828 19968 23424 24576 25376 26624 28548 29742 29921 29952 31232 32768 35136 36864 38064 39656 39936 44613 46848 49152 50752 53248 57096 59484 59842 59904 62464 64441 65536 70272 73728 76128 79312 79872 89226 89763 93696 98304 101504 106496 114192 118968 119684 119808 124928 128882 131072 140544 147456 152256 158624 159744 178452 179526 187392 193323 196608 203008 212992 228384 237936 239368 239616 249856 257764 269289 281088 294912 302377 304512 317248 319488 356904 359052 374784 386646 388973 393216 406016 425984 456768 475872 478736 479232 499712 515528 538578 562176 579969 589824 604754 609024 634496 638976 713808 718104 749568 773292 777946 812032 851968 907131 913536 951744 957472 958464 999424 1031056 1077156 1124352 1159938 1166919 1179648 1209508 1218048 1268992 1277952 1427616 1436208 1499136 1546584 1555892 1624064 1703936 1814262 1825181 1827072 1903488 1914944 1916928 1998848 2062112 2154312 2248704 2319876 2333838 2419016 2436096 2537984 2555904 2721393 2855232 2872416 2998272 3093168 3111784 3248128 3500757 3628524 3650362 3654144 3806976 3829888 3833856 3930901 3997696 4124224 4308624 4497408 4639752 4667676 4838032 4872192 5075968 5111808 5442786 5475543 5710464 5744832 5996544 6186336 6223568 6496256 7001514 7257048 7300724 7308288 7613952 7659776 7667712 7861802 7995392 8248448 8617248 8994816 9279504 9335352 9676064 9744384 10151936 10885572 10951086 11420928 11489664 11792703 11993088 12372672 12447136 12992512 14003028 14514096 14601448 14616576 15227904 15319552 15335424 15723604 16426629 16496896 17234496 17989632 18559008 18670704 19352128 19488768 20303872 21771144 21902172 22841856 22979328 23585406 23727353 23986176 24745344 24894272 25985024 28006056 29028192 29202896 29233152 30455808 30639104 31447208 32853258 32993792 34468992 35378109 35979264 37118016 37341408 38704256 38977536 40607744 43542288 43804344 45683712 45958656 47170812 47454706 49490688 49788544 51970048 56012112 58056384 58405792 58466304 60911616 61278208 62894416 65706516 65987584 68937984 70756218 71182059 71958528 74236032 74682816 77408512 77955072 81215488 87084576 87608688 91367424 91917312 94341624 94909412 98981376 99577088 103940096 112024224 116112768 116811584 116932608 121823232 122556416 125788832 131413032 131975168 137875968 141512436 142364118 148318397 148472064 149365632 154817024 155910144 162430976 174169152 175217376 182734848 183834624 188683248 189818824 197962752 199154176 213546177 224048448 232225536 233623168 233865216 243646464 245112832 251577664 262826064 263950336 275751936 283024872 284728236 296636794 296944128 298731264 309634048 311820288 324861952 348338304 350434752 365469696 367669248 377366496 379637648 395925504 398308352 427092354 444955191 448096896 464451072 467246336 467730432 487292928 490225664 503155328 525652128 527900672 551503872 566049744 569456472 593273588 593888256 597462528 619268096 649723904 696676608 700869504 730939392 735338496 754732992 759275296 791851008 796616704 854184708 889910382 896193792 928902144 934492672 935460864 974585856 980451328 1006310656 1051304256 1055801344 1103007744 1132099488 1138912944 1186547176 1187776512 1194925056 1238536192 1334865573 1393353216 1401739008 1461878784 1470676992 1509465984 1518550592 1583702016 1593233408 1708369416 1779820764 1792387584 1857804288 1868985344 1928139161 1949171712 1960902656 2012621312 2102608512 2111602688 2206015488 2264198976 2277825888 2373094352 2375553024 2389850112 2477072384 2669731146 2786706432 2803478016 2923757568 2941353984 3018931968 3037101184 3167404032 3186466816 3416738832 3559641528 3584775168 3715608576 3737970688 3856278322 3921805312 4025242624 4205217024 4223205376 4412030976 4528397952 4555651776 4746188704 4751106048 4779700224 4954144768 5339462292 5573412864 5606956032 5784417483 5847515136 5882707968 6037863936 6074202368 6334808064 6372933632 6833477664 7119283056 7169550336 7431217152 7475941376 7712556644 8050485248 8410434048 8446410752 8824061952 9047422217 9056795904 9111303552 9492377408 9502212096 9559400448 9908289536 10678924584 11146825728 11213912064 11568834966 11765415936 12075727872 12148404736 12669616128 12745867264 13666955328 14238566112 14339100672 14862434304 14951882752 15425113288 16100970496 16820868096 17353252449 17648123904 18094844434 18113591808 18222607104 18984754816 19004424192 19118800896 19816579072 21357849168 22293651456 22427824128 23137669932 24151455744 24296809472 25339232256 25491734528 27142266651 27333910656 28477132224 28678201344 29724868608 29903765504 30850226576 32201940992 33641736192 34706504898 35296247808 36189688868 36227183616 36445214208 37969509632 38008848384 38237601792 39633158144 42715698336 44587302912 44855648256 46275339864 48302911488 48593618944 50983469056 54284533302 54667821312 56954264448 57356402688 59449737216 59807531008 61700453152 64403881984 67283472384 69413009796 72379377736 72454367232 72890428416 75939019264 76017696768 76475203584 81426799953 85431396672 89174605824 89711296512 92550679728 96605822976 97187237888 108569066604 109335642624 113908528896 114712805376 117616488821 118899474432 119615062016 123400906304 128807763968 134566944768 138826019592 144758755472 144908734464 145780856832 151878038528 152950407168 162853599906 170862793344 178349211648 179422593024 185101359456 193211645952 194374475776 217138133208 218671285248 227817057792 229425610752 235232977642 239230124032 246801812608 257615527936 269133889536 277652039184 289517510944 289817468928 291561713664 303756077056 325707199812 341725586688 352849466463 356698423296 358845186048 370202718912 386423291904 388748951552 434276266416 437342570496 455634115584 458851221504 470465955284 493603625216 515231055872 538267779072 555304078368 579035021888 579634937856 583123427328 607512154112 651414399624 683451173376 705698932926 717690372096 740405437824 772846583808 777497903104 868552532832 874685140992 911268231168 940931910568 987207250432 1058548399389 1076535558144 1110608156736 1158070043776 1159269875712 1166246854656 1215024308224 1302828799248 1366902346752 1411397865852 1480810875648 1545693167616 1554995806208 1737105065664 1749370281984 1822536462336 1881863821136 1974414500864 2117096798778 2153071116288 2221216313472 2316140087552 2318539751424 2332493709312 2430048616448 2605657598496 2733804693504 2822795731704 2961621751296 3109991612416 3474210131328 3498740563968 3645072924672 3763727642272 3948829001728 4234193597556 4442432626944 4632280175104 4637079502848 4664987418624 4860097232896 5211315196992 5467609387008 5645591463408 5923243502592 6948420262656 6997481127936 7290145849344 7527455284544 7897658003456 8468387195112 8884865253888 9264560350208 9329974837248 9720194465792 10422630393984 10935218774016 11291182926816 11846487005184 13896840525312 13994962255872 14580291698688 15054910569088 15795316006912 16936774390224 17769730507776 18529120700416 19440388931584 20845260787968 21870437548032 22582365853632 23692974010368 27793681050624 27989924511744 29160583397376 30109821138176 31590632013824 33873548780448 35539461015552 37058241400832 41690521575936 43740875096064 45164731707264 47385948020736 55587362101248 58321166794752 60219642276352 63181264027648 67747097560896 71078922031104 74116482801664 83381043151872 87481750192128 90329463414528 94771896041472 111174724202496 120439284552704 126362528055296 135494195121792 142157844062208 148232965603328 166762086303744 174963500384256 180658926829056 189543792082944 222349448404992 240878569105408 252725056110592 270988390243584 284315688124416 296465931206656 333524172607488 361317853658112 379087584165888 444698896809984 481757138210816 541976780487168 568631376248832 592931862413312 667048345214976 722635707316224 758175168331776 889397793619968 963514276421632 1083953560974336 1137262752497664 1185863724826624 1334096690429952 1445271414632448 1778795587239936 1927028552843264 2167907121948672 2274525504995328 2668193380859904 2890542829264896 3557591174479872 3854057105686528 4335814243897344 5336386761719808 5781085658529792 7708114211373056 8671628487794688 10672773523439616 11562171317059584 15416228422746112 17343256975589376 23124342634119168 34686513951178752 46248685268238336 69373027902357504 138746055804715008
- Sum of all divisors σ(n): 438832196619000912
- Sum of proper divisors (its aliquot sum) s(n): 300086140814285904
- 138746055804715008 is an abundant number, because the sum of its proper divisors (300086140814285904) is greater than itself. Its abundance is 161340085009570896
Bases of 138746055804715008
- Binary: 1111011001110110011001101011110100011101000000000000000002
- Hexadecimal: 0x1ECECCD7A3A0000
- Base-36: 11Y5DE3X4HS0
Squares and roots of 138746055804715008
- 138746055804715008 squared (1387460558047150082) is 19250468001365091166153124100440064
- 138746055804715008 cubed (1387460558047150083) is 2670926507584281525741348843553123233658138905280512
-
The
square root of 138746055804715008 is 372486316.2650609479 -
The
cube root of 138746055804715008 is 517694.4971941329
Scales and comparisons
How big is 138746055804715008?- 138,746,055,804,715,008 seconds is equal to 4,411,695,404 years, 44 weeks, 5 days, 9 hours, 16 minutes, 48 seconds.
-
To count from 1 to 138,746,055,804,715,008 would take you about thirteen billion, two hundred thirty-five million, eighty-six thousand, two hundred fourteen 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 138746055804715008 cubic inches would be around 43141.2 feet tall.
Recreational maths with 138746055804715008
- 138746055804715008 backwards is 800517408550647831
- 138746055804715008 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138746055804715008's digits is 72
- More coming soon!
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The information we have on file for 138746055804715008 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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