48768682974724125
48,768,682,974,724,125 is an odd composite number composed of six prime numbers multiplied together.
What does the number 48768682974724125 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
48768682974724125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 48768682974724125:
33 × 53 × 72 × 193 × 792 × 832
(3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 19 × 19 × 19 × 79 × 79 × 83 × 83)See below for interesting mathematical facts about the number 48768682974724125 from the Numbermatics database.
Names of 48768682974724125
- Cardinal: 48768682974724125 can be written as Forty-eight quadrillion, seven hundred sixty-eight trillion, six hundred eighty-two billion, nine hundred seventy-four million, seven hundred twenty-four thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 4.8768682974724125 × 1016
Factors of 48768682974724125
Divisors of 48768682974724125
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 3 5 7 9 15 19 21 25 27 35 45 49 57 63 75 79 83 95 105 125 133 135 147 171 175 189 225 237 245 249 285 315 361 375 395 399 415 441 475 513 525 553 581 665 675 711 735 747 855 875 931 945 1083 1125 1185 1197 1225 1245 1323 1425 1501 1575 1577 1659 1743 1805 1975 1995 2075 2133 2205 2241 2375 2527 2565 2625 2765 2793 2905 3249 3325 3375 3555 3591 3675 3735 3871 4067 4275 4503 4655 4725 4731 4977 5229 5415 5925 5985 6125 6225 6241 6557 6615 6859 6889 7125 7505 7581 7875 7885 8295 8379 8715 9025 9747 9875 9975 10375 10507 10665 11025 11039 11205 11613 12201 12635 12825 13509 13825 13965 14193 14525 14931 15687 16245 16625 17689 17775 17955 18375 18675 18723 19355 19671 20335 20577 20667 21375 22515 22743 23275 23625 23655 24885 25137 26145 27075 28519 29625 29925 29963 31125 31205 31521 32785 33075 33117 34295 34445 34839 36603 37525 37905 39425 40527 41475 41895 42579 43575 43687 45125 45899 48013 48223 48735 49875 52535 53067 53325 55125 55195 56025 56169 58065 59013 61005 61731 62001 63175 64125 67545 68229 69125 69825 70965 72625 73549 74655 77273 78435 81225 85557 88445 88875 89775 89889 93375 93615 94563 96775 98355 99351 101675 102885 103335 104517 109809 112575 113715 116375 118275 118579 124425 124583 125685 130725 130891 131061 135375 137697 142595 144039 144669 149625 149815 156025 157605 159201 163925 165375 165585 168507 171475 172225 174195 177039 183015 185193 186003 187625 189525 197125 199633 202635 207375 209475 209741 212895 217875 218435 220647 229495 231819 240065 241115 243675 256671 262675 265335 266625 269667 275975 280125 280845 283689 290325 295065 298053 305025 305809 308655 310005 315875 321293 336091 337561 337725 341145 349125 354825 355737 367745 373275 373749 386365 392175 392673 393183 406125 413091 427785 432117 434007 442225 448875 449445 468075 472815 477603 483875 491775 496755 508375 514425 516675 518003 522585 541861 544231 549045 562875 568575 569297 591375 592895 598899 622125 622915 628425 629223 653625 654455 655305 661941 688485 695457 712975 720195 723345 749075 770013 780125 788025 796005 809001 819625 827925 830053 842535 857375 861125 870975 872081 885195 915075 916237 917427 925965 930015 947625 963879 998165 1008273 1012683 1013175 1047375 1048705 1064475 1067211 1092175 1103235 1121247 1147475 1159095 1178019 1179549 1200325 1205575 1218375 1239273 1283355 1296351 1302021 1313375 1326675 1348335 1379875 1397431 1404225 1418445 1451625 1468187 1475325 1490265 1525125 1529045 1543275 1550025 1554009 1606465 1625583 1632693 1680455 1687805 1688625 1705725 1707891 1774125 1778685 1796697 1838725 1866375 1868745 1887669 1931825 1960875 1963365 1965915 1985823 2065455 2086371 2138925 2160585 2170035 2211125 2247225 2253001 2340375 2364075 2367077 2388015 2458875 2483775 2486929 2490159 2572125 2583375 2590015 2612925 2616243 2709305 2721155 2745225 2748711 2752281 2842875 2846485 2891637 2964475 2994495 3024819 3038049 3114575 3142125 3146115 3201633 3272275 3276525 3309705 3363741 3442425 3477285 3534057 3564875 3600975 3616725 3626021 3745375 3793027 3809617 3850065 3940125 3980025 3985079 4045005 4139625 4150265 4192293 4212675 4354875 4360405 4404561 4425975 4575375 4581185 4587135 4629825 4650075 4662027 4819395 4876749 4898079 4990825 5041365 5063415 5065875 5123673 5243525 5322375 5336055 5390091 5460875 5516175 5606235 5663007 5737375 5795475 5810371 5890095 5897745 6001625 6027875 6104567 6196365 6413659 6416775 6481755 6510105 6633375 6741675 6759003 6987155 7021125 7092225 7101231 7340935 7376625 7451325 7460787 7470477 7645225 7716375 7750125 7770045 7848729 8032325 8127915 8163465 8246133 8256843 8402275 8439025 8528625 8539455 8674911 8893425 8983485 9074457 9114147 9193625 9343725 9438345 9659125 9816825 9829575 9842057 9929115 10327275 10340389 10431855 10694625 10802925 10850175 10878063 11236125 11265005 11379081 11428851 11820375 11835385 11940075 11955237 12418875 12434645 12450795 12576879 12950075 13064625 13081215 13213683 13546525 13605775 13726125 13743555 13761405 13986081 14232425 14458185 14630247 14694237 14822375 14972475 15124095 15190245 15371019 15572875 15730575 15771007 16008165 16361375 16382625 16548525 16569539 16818705 17212125 17386425 17408503 17431113 17670285 18004875 18083625 18130105 18313701 18965135 19048085 19240977 19250325 19900125 19925395 20225025 20277009 20751325 20961465 21063375 21303693 21802025 22022805 22129875 22382361 22411431 22905925 22935675 23149125 23250375 23310135 23546187 24096975 24383745 24490395 24738399 24954125 25206825 25317075 25382147 25618365 26217625 26551189 26667319 26680275 26950455 27580875 27895553 28031175 28315035 28977375 29051855 29450475 29488725 29526171 30522835 30981825 31021167 32068295 32083875 32408775 32550525 32634189 33708375 33795015 34137243 34286553 34935775 35461125 35506155 35865711 36704675 37256625 37303935 37352385 37730637 38226125 38850225 39243645 39641049 40161625 40639575 40817325 41230665 41284215 42011375 42195125 42697275 42807019 42994249 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174096146273 176714133435 180847797375 182911141021 183800414475 185661684495 190004647875 200138229095 202263164775 203147826525 210373968375 212504337675 221025814875 223264050975 223837902351 229073876675 232518596625 232813858335 235171467027 240672553975 244291690125 247399786809 257320580265 259926358293 262192991375 263339775125 266473693275 275468585875 279966032175 283168430685 284406957135 289416362375 294523555725 294897553891 297506072745 306334024125 309436140825 312569671365 325526035275 325939401669 337105274625 338579710875 342008366175 354173896125 360248812371 372106751625 372590040375 373063170585 388023097225 391455358875 391952445045 411275883375 412332978015 419064945003 428867633775 433210597155 444122822125 466610053625 471947384475 474011595225 479652647895 490872592875 495843454575 503938857915 515726901375 520949452275 522288438819 542543392125 543232336115 548733423063 551401243425 570013943625 600414687285 621771950975 631121905125 653254075075 663077444625 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16256227658241375 48768682974724125
- Sum of all divisors σ(n): 113501987679225600
- Sum of proper divisors (its aliquot sum) s(n): 64733304704501475
- 48768682974724125 is an abundant number, because the sum of its proper divisors (64733304704501475) is greater than itself. Its abundance is 15964621729777350
Bases of 48768682974724125
- Binary: 101011010100001011011011110110001101111101000000000111012
- Hexadecimal: 0xAD42DBD8DF401D
- Base-36: DC71ZO12JH9
Squares and roots of 48768682974724125
- 48768682974724125 squared (487686829747241252) is 2378384439089146729793619857015625
- 48768682974724125 cubed (487686829747241253) is 115990676701955657821429315630378030368430189453125
-
The
square root of 48768682974724125 is 220836326.2117990519 -
The
cube root of 48768682974724125 is 365353.8395790139
Scales and comparisons
How big is 48768682974724125?- 48,768,682,974,724,125 seconds is equal to 1,550,693,267 years, 8 weeks, 11 hours, 48 minutes, 45 seconds.
-
To count from 1 to 48,768,682,974,724,125 would take you about four billion, six hundred fifty-two million, seventy-nine thousand, eight hundred 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 48768682974724125 cubic inches would be around 30446.2 feet tall.
Recreational maths with 48768682974724125
- 48768682974724125 backwards is 52142747928686784
- The number of decimal digits it has is: 17
- The sum of 48768682974724125's digits is 90
- More coming soon!
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Cite this page
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"Number 48768682974724125 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 48768682974724125 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/48768682974724125/
Chicago style:
Numbermatics. 2024. "Number 48768682974724125 - Facts about the integer". https://numbermatics.com/n/48768682974724125/
The information we have on file for 48768682974724125 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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