138784052562436512
138,784,052,562,436,512 is an even composite number composed of five prime numbers multiplied together.
138784052562436512 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred divisors.
Prime factorization of 138784052562436512:
25 × 39 × 7 × 112 × 1274
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 11 × 11 × 127 × 127 × 127 × 127)See below for interesting mathematical facts about the number 138784052562436512 from the Numbermatics database.
Names of 138784052562436512
- Cardinal: 138784052562436512 can be written as One hundred thirty-eight quadrillion, seven hundred eighty-four trillion, fifty-two billion, five hundred sixty-two million, four hundred thirty-six thousand, five hundred twelve.
Scientific notation
- Scientific notation: 1.38784052562436512 × 1017
Factors of 138784052562436512
Divisors of 138784052562436512
- Number of divisors d(n): 1800
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 54 56 63 66 72 77 81 84 88 96 99 108 112 121 126 127 132 144 154 162 168 176 189 198 216 224 231 242 243 252 254 264 288 297 308 324 336 352 363 378 381 396 432 462 484 486 504 508 528 567 594 616 648 672 693 726 729 756 762 792 847 864 889 891 924 968 972 1008 1016 1056 1089 1134 1143 1188 1232 1296 1386 1397 1452 1458 1512 1524 1584 1694 1701 1778 1782 1848 1936 1944 2016 2032 2079 2178 2187 2268 2286 2376 2464 2541 2592 2667 2673 2772 2794 2904 2916 3024 3048 3168 3267 3388 3402 3429 3556 3564 3696 3872 3888 4064 4158 4191 4356 4374 4536 4572 4752 5082 5103 5334 5346 5544 5588 5808 5832 6048 6096 6237 6534 6561 6776 6804 6858 7112 7128 7392 7623 7776 8001 8019 8316 8382 8712 8748 9072 9144 9504 9779 9801 10164 10206 10287 10668 10692 11088 11176 11616 11664 12192 12474 12573 13068 13122 13552 13608 13716 14224 14256 15246 15309 15367 16002 16038 16129 16632 16764 17424 17496 18144 18288 18711 19558 19602 19683 20328 20412 20574 21336 21384 22176 22352 22869 23328 24003 24057 24948 25146 26136 26244 27104 27216 27432 28448 28512 29337 29403 30492 30618 30734 30861 32004 32076 32258 33264 33528 34848 34992 36576 37422 37719 39116 39204 39366 40656 40824 41148 42672 42768 44704 45738 45927 46101 48006 48114 48387 49896 50292 52272 52488 54432 54864 56133 58674 58806 60984 61236 61468 61722 64008 64152 64516 66528 67056 68607 69984 72009 72171 74844 75438 78232 78408 78732 81312 81648 82296 85344 85536 88011 88209 91476 91854 92202 92583 96012 96228 96774 99792 100584 104544 104976 107569 109728 112266 112903 113157 117348 117612 121968 122472 122936 123444 128016 128304 129032 134112 137214 137781 138303 144018 144342 145161 149688 150876 156464 156816 157464 163296 164592 168399 176022 176418 177419 182952 183708 184404 185166 192024 192456 193548 199584 201168 205821 209952 215138 216027 216513 224532 225806 226314 234696 235224 243936 244944 245872 246888 256032 256608 258064 264033 264627 274428 275562 276606 277749 288036 288684 290322 299376 301752 312928 313632 314928 322707 329184 336798 338709 339471 352044 352836 354838 365904 367416 368808 370332 384048 384912 387096 402336 411642 414909 430276 432054 433026 435483 449064 451612 452628 469392 470448 489888 491744 493776 505197 516128 528066 529254 532257 548856 551124 553212 555498 576072 577368 580644 598752 603504 617463 629856 645414 648081 673596 677418 678942 704088 705672 709676 731808 734832 737616 740664 768096 769824 774192 792099 793881 823284 829818 833247 860552 864108 866052 870966 898128 903224 905256 938784 940896 968121 987552 1010394 1016127 1018413 1056132 1058508 1064514 1097712 1102248 1106424 1110996 1152144 1154736 1161288 1207008 1234926 1241933 1244727 1290828 1296162 1306449 1347192 1354836 1357884 1408176 1411344 1419352 1469664 1475232 1481328 1515591 1548384 1584198 1587762 1596771 1646568 1659636 1666494 1721104 1728216 1732104 1741932 1796256 1806448 1810512 1852389 1936242 1944243 1951609 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260746317216 262225798128 262815732432 268894639629 274712740896 281066824962 282228258123 283297514049 295004022894 295667698986 306618354504 307308159576 309051833508 318689943264 320498197712 321219228528 322546580712 334492750368 337147454736 344945648817 358526186172 360560472426 361371632094 374755766616 376304344164 377730018732 379290886578 391119475824 393338697192 394223598648 408824472672 409744212768 412069111344 421600237443 430062107616 440685021854 442506034341 443501548479 459927531756 463577750262 478034914896 480747296568 481828842792 499674355488 501739125552 503640024976 505721182104 524451596256 525631464864 537789279258 540840708639 542057448141 562133649924 564456516246 566595028098 568936329867 590008045788 591335397972 613236709008 614616319152 618103667016 640996395424 642438457056 645093161424 661027532781 674294909472 689891297634 695366625393 717052372344 721120944852 722743264188 749511533232 752608688328 755460037464 758581773156 782238951648 786677394384 788447197296 824138222688 843200474886 849892542147 881370043708 885012068682 887003096958 919855063512 927155500524 956069829792 961494593136 963657685584 1003478251104 1007280049952 1011442364208 1034836946451 1075578558516 1081681417278 1084114896282 1124267299848 1128913032492 1133190056196 1137872659734 1180016091576 1182670795944 1226473418016 1229232638304 1236207334032 1264800712329 1290186322848 1322055065562 1327518103023 1379782595268 1390733250786 1434104744688 1442241889704 1445486528376 1499023066464 1505217376656 1510920074928 1517163546312 1573354788768 1576894394592 1622522125917 1626172344423 1686400949772 1699785084294 1706808989601 1762740087416 1770024137364 1774006193916 1839710127024 1854311001048 1922989186272 1927315371168 1983082598343 2022884728416 2069673892902 2086099876179 2151157117032 2163362834556 2168229792564 2248534599696 2257826064984 2266380112392 2275745319468 2360032183152 2365341591888 2472414668064 2529601424658 2549677626441 2644110131124 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9757034066538 10118405698632 10198710505764 10240853937606 10576440524496 10620144824184 11038260762144 11125866006288 11383206410961 11898495590058 11947662927207 12418043357412 12516599257074 12980177007336 13009378755384 13491207598176 13598280674352 13654471916808 14160193098912 14192049551328 14602699133253 15177608547948 15298065758646 15864660786744 15930217236276 16557391143216 16688799009432 17306902676448 17345838340512 17847743385087 18205962555744 18774898885611 19470265511004 19514068133076 20236811397264 20397421011528 20481707875212 21152881048992 21240289648368 22251732012576 22766412821922 22947098637969 23796991180116 23895325854414 24836086714824 25033198514148 25960354014672 26018757510768 27196561348704 27308943833616 29205398266506 30355217095896 30596131517292 31729321573488 31860434472552 33114782286432 33377598018864 34149619232883 35695486770174 35842988781621 37549797771222 38940531022008 39028136266152 40473622794528 40794842023056 40963415750424 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275365183655628 285563894161392 286743910252968 300398382169776 321259380931566 350464779198072 364262605150752 367153578207504 382325213670624 394272876597831 413047775483442 428345841242088 450597573254664 467286372264096 481889071397349 525697168797108 546393907726128 550730367311256 571127788322784 573487820505936 600796764339552 619571663225163 642518761863132 700929558396144 734307156415008 788545753195662 826095550966884 856691682484176 901195146509328 963778142794698 1051394337594216 1092787815452256 1101460734622512 1146975641011872 1239143326450326 1285037523726264 1401859116792288 1445667214192047 1577091506391324 1652191101933768 1713383364968352 1802390293018656 1927556285589396 2102788675188432 2202921469245024 2478286652900652 2570075047452528 2891334428384094 3154183012782648 3304382203867536 3855112571178792 4205577350376864 4337001642576141 4956573305801304 5140150094905056 5782668856768188 6308366025565296 6608764407735072 7710225142357584 8674003285152282 9913146611602608 11565337713536376 12616732051130592 15420450284715168 17348006570304564 19826293223205216 23130675427072752 34696013140609128 46261350854145504 69392026281218256 138784052562436512
- Sum of all divisors σ(n): 518926003358339808
- Sum of proper divisors (its aliquot sum) s(n): 380141950795903296
- 138784052562436512 is an abundant number, because the sum of its proper divisors (380141950795903296) is greater than itself. Its abundance is 241357898233466784
Bases of 138784052562436512
- Binary: 1111011010000111101011100010010010111100100100001101000002
- Hexadecimal: 0x1ED0F5C497921A0
- Base-36: 11YIU9KTMI00
Squares and roots of 138784052562436512
- 138784052562436512 squared (1387840525624365122) is 19261013245653140572548078030726144
- 138784052562436512 cubed (1387840525624365123) is 2673121474690511342654773779385978726560929258569728
-
The
square root of 138784052562436512 is 372537317.0065470259 -
The
cube root of 138784052562436512 is 517741.7511908445
Scales and comparisons
How big is 138784052562436512?- 138,784,052,562,436,512 seconds is equal to 4,412,903,584 years, 11 weeks, 4 days, 19 hours, 55 minutes, 12 seconds.
-
To count from 1 to 138,784,052,562,436,512 would take you about thirteen billion, two hundred thirty-eight million, seven hundred ten thousand, seven hundred fifty-two 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 138784052562436512 cubic inches would be around 43145.1 feet tall.
Recreational maths with 138784052562436512
- 138784052562436512 backwards is 215634265250487831
- 138784052562436512 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138784052562436512's digits is 72
- More coming soon!
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"Number 138784052562436512 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
APA style:
Numbermatics. (2024). Number 138784052562436512 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138784052562436512/
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Numbermatics. 2024. "Number 138784052562436512 - Facts about the integer". https://numbermatics.com/n/138784052562436512/
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