138200464513300488
138,200,464,513,300,488 is an even composite number composed of eight prime numbers multiplied together.
138200464513300488 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 138200464513300488:
23 × 3 × 133 × 31 × 41 × 137 × 353 × 42641
(2 × 2 × 2 × 3 × 13 × 13 × 13 × 31 × 41 × 137 × 353 × 42641)See below for interesting mathematical facts about the number 138200464513300488 from the Numbermatics database.
Names of 138200464513300488
- Cardinal: 138200464513300488 can be written as One hundred thirty-eight quadrillion, two hundred trillion, four hundred sixty-four billion, five hundred thirteen million, three hundred thousand, four hundred eighty-eight.
Scientific notation
- Scientific notation: 1.38200464513300488 × 1017
Factors of 138200464513300488
Divisors of 138200464513300488
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 6 8 12 13 24 26 31 39 41 52 62 78 82 93 104 123 124 137 156 164 169 186 246 248 274 312 328 338 353 372 403 411 492 507 533 548 676 706 744 806 822 984 1014 1059 1066 1096 1209 1271 1352 1412 1599 1612 1644 1781 2028 2118 2132 2197 2418 2542 2824 3198 3224 3288 3562 3813 4056 4236 4247 4264 4394 4589 4836 5084 5239 5343 5617 6396 6591 6929 7124 7626 8472 8494 8788 9178 9672 10168 10478 10686 10943 11234 12741 12792 13182 13767 13858 14248 14473 15252 15717 16523 16851 16988 17576 18356 20787 20956 21372 21886 22468 23153 25482 26364 27534 27716 28946 30504 31434 32829 33046 33702 33976 36712 41574 41912 42641 42744 43419 43772 44936 46306 48361 49569 50964 52728 55068 55211 55432 57892 59657 62868 65658 66092 67404 68107 69459 73021 83148 85282 86838 87544 90077 92612 96722 99138 101928 110136 110422 115784 119314 125736 127923 131316 132184 134808 136214 138918 142259 145083 146042 165633 166296 170564 173676 174127 178971 180154 185224 188149 193444 198276 204321 214799 219063 220844 238628 255846 262632 270231 272428 277836 284518 290166 292084 300989 331266 341128 347352 348254 357942 360308 376298 386888 396552 408642 426777 429598 438126 441688 448663 477256 511692 522381 540462 544856 554333 555672 564447 569036 580332 584168 601978 628693 644397 662532 696508 715884 717743 720616 752596 775541 817284 853554 859196 876252 897326 902967 949273 1023384 1044762 1080924 1108666 1128894 1138072 1160664 1203956 1257386 1288794 1321871 1325064 1345989 1393016 1431768 1435486 1499191 1505192 1551082 1634568 1662999 1707108 1718392 1748281 1752504 1794652 1805934 1849367 1886079 1898546 1982801 2089524 2153229 2161848 2217332 2257788 2263651 2326623 2407912 2445937 2514772 2577588 2643742 2691978 2792387 2847819 2870972 2998382 3102164 3325998 3414216 3496562 3589304 3611868 3698734 3772158 3797092 3965602 3965613 4179048 4306458 4434664 4497573 4515576 4527302 4653246 4891874 5029544 5155176 5244843 5287484 5383956 5548101 5584774 5695638 5741944 5832619 5841817 5948403 5996764 6204328 6651996 6790953 6993124 7206329 7223736 7337811 7397468 7544316 7594184 7931204 7931226 8173009 8377161 8612916 8995146 9054604 9306492 9330659 9783748 10489686 10574968 10767912 11096202 11169548 11391276 11665238 11683634 11896806 11993528 12340549 13303992 13581906 13986248 14412658 14675622 14794936 15052273 15088632 15862408 15862452 16346018 16754322 17184323 17225832 17497857 17525451 17990292 18109208 18612984 18661318 19489483 19567496 20979372 21618987 22192404 22339096 22727653 22782552 23330476 23367268 23793612 24041771 24519027 24681098 25776413 27163812 27991977 28825316 29351244 29427463 30104546 31724904 31797181 32692036 33508644 34368646 34995714 35050902 35980584 37021647 37322636 38978966 41958744 43237974 44384808 45156819 45455306 46660952 46734536 47587224 48083542 49038054 49362196 51552826 51552969 54196711 54327624 55983954 57650632 58468449 58702488 58854926 60209092 61466831 63594362 65384072 67017288 68182959 68737292 69991428 70101804 72125313 74043294 74645272 75824047 75943621 77329239 77957932 86475948 88282389 90313638 90910612 93682277 95391543 96167084 98076108 98724392 103105652 103105938 106249117 108393422 111967908 116936898 117709852 120418184 122933662 127188724 136365918 137474584 139982856 140203608 144250626 148086588 151648094 151887242 154658478 155915864 162590133 172951896 176564778 180627276 181096327 181821224 184400493 187364554 190783086 192334168 195679549 196152216 206211304 206211876 212498234 216786844 223396199 223935816 227472141 227830863 233873796 235419704 239514497 245867324 253363279 254377448 272731836 281046831 288501252 295459489 296173176 303296188 303774484 309316956 318747351 325180266 335093369 353129556 361254552 362192654 368800986 374729108 381566172 382557019 391359098 412423752 424996468 433573688 446792398 454944282 455661726 466620463 467747592 479028994 491734648 506726558 543288981 545463672 562093662 577002504 587038647 590918978 606592376 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1591474521676 1620511532484 1662102089206 1892612597928 1989669654232 2029166818584 2050330314422 2091031660614 2104853399636 2198264053466 2316584214984 2387211782514 2493153133809 2503132790808 2509632899566 2621007140671 2711727190042 2788042214152 2857684177608 2984504481348 3075495471633 3157280099454 3182949043352 3233213188127 3241023064968 3297396080199 3324204178412 3764449349349 4067590785063 4100660628844 4182063321228 4209706799272 4396528106932 4530568597997 4774423565028 4986306267618 5019265799132 5242014281342 5423454380084 5969008962696 6150990943266 6314560198908 6466426376254 6594792160398 6648408356824 7528898698698 7863021422013 8135181570126 8201321257688 8364126642456 8793056213864 9061137195994 9548847130056 9699639564381 9972612535236 10038531598264 10484028562684 10803663579839 10846908760168 12301981886532 12629120397816 12932852752508 13189584320796 13591705793991 14288716347529 15057797397396 15726042844026 16270363140252 16312613847179 18122274391988 19399279128762 19945225070472 20968057125368 21607327159678 24603963773064 25865705505016 26379168641592 27183411587982 28577432695058 30115594794792 31452085688052 32410990739517 32540726280504 32625227694358 34073092828723 36244548783976 38798558257524 42031771445651 42866149042587 43214654319356 48937841541537 54366823175964 57154865390116 62904171376104 64821981479034 65250455388716 68146185657446 77597116515048 84063542891302 85732298085174 86429308638712 97875683083074 102219278486169 108733646351928 114309730780232 126095314336953 129643962958068 130500910777432 136292371314892 140447626537907 168127085782604 171464596170348 185753312517877 195751366166148 204438556972338 252190628673906 259287925916136 272584742629784 280895253075814 336254171565208 342929192340696 371506625035754 391502732332296 408877113944676 421342879613721 442950206773399 504381257347812 557259937553631 561790506151628 743013250071508 817754227889352 842685759227442 885900413546798 1008762514695624 1114519875107262 1123581012303256 1328850620320197 1486026500143016 1685371518454884 1771800827093596 2229039750214524 2657701240640394 3370743036909768 3543601654187192 4458079500429048 5315402481280788 5758352688054187 10630804962561576 11516705376108374 17275058064162561 23033410752216748 34550116128325122 46066821504433496 69100232256650244 138200464513300488
- Sum of all divisors σ(n): 399804235239628800
- Sum of proper divisors (its aliquot sum) s(n): 261603770726328312
- 138200464513300488 is an abundant number, because the sum of its proper divisors (261603770726328312) is greater than itself. Its abundance is 123403306213027824
Bases of 138200464513300488
- Binary: 1111010101111110010010111000110110001101111111000000010002
- Hexadecimal: 0x1EAFC971B1BF808
- Base-36: 11SRZ4XGYSCO
Squares and roots of 138200464513300488
- 138200464513300488 squared (1382004645133004882) is 19099368391692027489530254981038144
- 138200464513300488 cubed (1382004645133004883) is 2639541583642487060101129236503077475030126061814272
-
The
square root of 138200464513300488 is 371753230.6696210649 -
The
cube root of 138200464513300488 is 517015.0288800723
Scales and comparisons
How big is 138200464513300488?- 138,200,464,513,300,488 seconds is equal to 4,394,347,289 years, 21 weeks, 5 days, 9 hours, 14 minutes, 48 seconds.
-
To count from 1 to 138,200,464,513,300,488 would take you about thirteen billion, one hundred eighty-three million, forty-one thousand, eight hundred sixty-eight 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 138200464513300488 cubic inches would be around 43084.6 feet tall.
Recreational maths with 138200464513300488
- 138200464513300488 backwards is 884003315464002831
- The number of decimal digits it has is: 18
- The sum of 138200464513300488's digits is 60
- More coming soon!
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The information we have on file for 138200464513300488 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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