138848291842326528
138,848,291,842,326,528 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138848291842326528 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2048 divisors.
138848291842326528 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 138848291842326528:
215 × 3 × 73 × 11 × 17 × 1801 × 12227
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 11 × 17 × 1801 × 12227)See below for interesting mathematical facts about the number 138848291842326528 from the Numbermatics database.
Names of 138848291842326528
- Cardinal: 138848291842326528 can be written as One hundred thirty-eight quadrillion, eight hundred forty-eight trillion, two hundred ninety-one billion, eight hundred forty-two million, three hundred twenty-six thousand, five hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38848291842326528 × 1017
Factors of 138848291842326528
Divisors of 138848291842326528
- Number of divisors d(n): 2048
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 17 21 22 24 28 32 33 34 42 44 48 49 51 56 64 66 68 77 84 88 96 98 102 112 119 128 132 136 147 154 168 176 187 192 196 204 224 231 238 256 264 272 294 308 336 343 352 357 374 384 392 408 448 462 476 512 528 539 544 561 588 616 672 686 704 714 748 768 784 816 833 896 924 952 1024 1029 1056 1078 1088 1122 1176 1232 1309 1344 1372 1408 1428 1496 1536 1568 1617 1632 1666 1792 1801 1848 1904 2048 2058 2112 2156 2176 2244 2352 2464 2499 2618 2688 2744 2816 2856 2992 3072 3136 3234 3264 3332 3584 3602 3696 3773 3808 3927 4096 4116 4224 4312 4352 4488 4704 4928 4998 5236 5376 5403 5488 5632 5712 5831 5984 6144 6272 6468 6528 6664 7168 7204 7392 7546 7616 7854 8192 8232 8448 8624 8704 8976 9163 9408 9856 9996 10472 10752 10806 10976 11264 11319 11424 11662 11968 12227 12288 12544 12607 12936 13056 13328 14336 14408 14784 15092 15232 15708 16384 16464 16896 17248 17408 17493 17952 18326 18816 19712 19811 19992 20944 21504 21612 21952 22528 22638 22848 23324 23936 24454 24576 25088 25214 25872 26112 26656 27489 28672 28816 29568 30184 30464 30617 31416 32768 32928 33792 34496 34816 34986 35904 36652 36681 37632 37821 39424 39622 39984 41888 43008 43224 43904 45056 45276 45696 46648 47872 48908 49152 50176 50428 51744 52224 53312 54978 57344 57632 59136 59433 60368 60928 61234 62832 64141 65856 67584 68992 69632 69972 71808 73304 73362 75264 75642 78848 79244 79968 83776 85589 86016 86448 87808 88249 90112 90552 91392 91851 93296 95744 97816 98304 100352 100856 103488 104448 106624 109956 114688 115264 118272 118866 120736 121856 122468 125664 128282 131712 134497 135168 137984 138677 139264 139944 143616 146608 146724 150528 151284 157696 158488 159936 167552 171178 172032 172896 175616 176498 180224 181104 182784 183702 186592 191488 192423 195632 200704 201712 206976 207859 208896 213248 214319 219912 229376 230528 236544 237732 241472 243712 244936 251328 256564 256767 263424 264747 268994 270336 275968 277354 278528 279888 287232 293216 293448 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15153147641856 15468838217728 15952239412032 16100219369472 16435640606336 16866896482304 16949254375284 17678672248832 18231130756608 18400250707968 18783589264384 19273777324032 19370576428896 20835578007552 21269652549376 21466959159296 22137801633024 22599005833712 23203257326592 23812089151488 24308174342144 24653460909504 25300344723456 25698369765376 25827435238528 26518008373248 27780770676736 28175383896576 29517068844032 30937676435456 31904478824064 32200438738944 32871281212672 33733792964608 33898508750568 35357344497664 36462261513216 36800501415936 37567178528768 38547554648064 38741152857792 41671156015104 42539305098752 42933918318592 44275603266048 45198011667424 46406514653184 48616348684288 49306921819008 50600689446912 51654870477056 53036016746496 55561541353472 56350767793152 59034137688064 61875352870912 63808957648128 64400877477888 65742562425344 67467585929216 67797017501136 72924523026432 75134357057536 77095109296128 77482305715584 83342312030208 85078610197504 85867836637184 88551206532096 90396023334848 92813029306368 97232697368576 98613843638016 101201378893824 103309740954112 106072033492992 112701535586304 118068275376128 123750705741824 127617915296256 128801754955776 131485124850688 134935171858432 135594035002272 145849046052864 150268714115072 154964611431168 166684624060416 170157220395008 177102413064192 180792046669696 185626058612736 194465394737152 197227687276032 202402757787648 206619481908224 225403071172608 236136550752256 247501411483648 255235830592512 257603509911552 262970249701376 271188070004544 291698092105728 300537428230144 309929222862336 340314440790016 354204826128384 361584093339392 371252117225472 388930789474304 394455374552064 404805515575296 413238963816448 450806142345216 472273101504512 510471661185024 525940499402752 542376140009088 583396184211456 601074856460288 619858445724672 680628881580032 708409652256768 723168186678784 742504234450944 788910749104128 826477927632896 901612284690432 944546203009024 1020943322370048 1051880998805504 1084752280018176 1166792368422912 1239716891449344 1361257763160064 1416819304513536 1446336373357568 1577821498208256 1652955855265792 1803224569380864 2041886644740096 2103761997611008 2169504560036352 2479433782898688 2722515526320128 2833638609027072 2892672746715136 3155642996416512 3305911710531584 4083773289480192 4207523995222016 4339009120072704 4958867565797376 5785345493430272 6311285992833024 6611823421063168 8167546578960384 8678018240145408 9917735131594752 11570690986860544 12622571985666048 17356036480290816 19835470263189504 23141381973721088 34712072960581632 46282763947442176 69424145921163264 138848291842326528
- Sum of all divisors σ(n): 499065161918976000
- Sum of proper divisors (its aliquot sum) s(n): 360216870076649472
- 138848291842326528 is an abundant number, because the sum of its proper divisors (360216870076649472) is greater than itself. Its abundance is 221368578234322944
Bases of 138848291842326528
- Binary: 1111011010100100111001001001010001110111010000000000000002
- Hexadecimal: 0x1ED49C928EE8000
- Base-36: 11Z5M0P29G5C
Squares and roots of 138848291842326528
- 138848291842326528 squared (1388482918423265282) is 19278848147531879463041275772534784
- 138848291842326528 cubed (1388482918423265283) is 2676835133972402555411038600894221638623886365949952
-
The
square root of 138848291842326528 is 372623525.6157701699 -
The
cube root of 138848291842326528 is 517821.6216235061
Scales and comparisons
How big is 138848291842326528?- 138,848,291,842,326,528 seconds is equal to 4,414,946,194 years, 32 weeks, 1 day, 17 hours, 48 minutes, 48 seconds.
-
To count from 1 to 138,848,291,842,326,528 would take you about thirteen billion, two hundred forty-four million, eight hundred thirty-eight thousand, five hundred eighty-three 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 138848291842326528 cubic inches would be around 43151.8 feet tall.
Recreational maths with 138848291842326528
- 138848291842326528 backwards is 825623248192848831
- 138848291842326528 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138848291842326528's digits is 84
- More coming soon!
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The information we have on file for 138848291842326528 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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