48328993084680
48,328,993,084,680 is an even composite number composed of eight prime numbers multiplied together.
What does the number 48328993084680 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1536 divisors.
48328993084680 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 48328993084680:
23 × 33 × 5 × 72 × 11 × 29 × 73 × 39217
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 11 × 29 × 73 × 39217)See below for interesting mathematical facts about the number 48328993084680 from the Numbermatics database.
Names of 48328993084680
- Cardinal: 48328993084680 can be written as Forty-eight trillion, three hundred twenty-eight billion, nine hundred ninety-three million, eighty-four thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.832899308468 × 1013
Factors of 48328993084680
Divisors of 48328993084680
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 18 20 21 22 24 27 28 29 30 33 35 36 40 42 44 45 49 54 55 56 58 60 63 66 70 72 73 77 84 87 88 90 98 99 105 108 110 116 120 126 132 135 140 145 146 147 154 165 168 174 180 189 196 198 203 210 216 219 220 231 232 245 252 261 264 270 280 290 292 294 297 308 315 319 330 348 360 365 378 385 392 396 406 420 435 438 440 441 462 490 495 504 511 522 539 540 580 584 588 594 609 616 630 638 657 660 693 696 730 735 756 770 783 792 803 812 840 870 876 882 924 945 957 980 990 1015 1022 1044 1078 1080 1095 1155 1160 1176 1188 1218 1260 1276 1305 1314 1320 1323 1386 1421 1460 1470 1485 1512 1533 1540 1566 1595 1606 1617 1624 1740 1752 1764 1827 1848 1890 1914 1960 1971 1980 2030 2044 2079 2088 2117 2156 2190 2205 2233 2310 2376 2409 2436 2520 2552 2555 2610 2628 2646 2695 2772 2842 2871 2920 2940 2970 3045 3066 3080 3132 3190 3212 3234 3285 3465 3480 3528 3577 3654 3780 3828 3915 3942 3960 4015 4060 4088 4158 4234 4263 4312 4380 4410 4466 4599 4620 4785 4818 4851 4872 5110 5220 5256 5292 5390 5481 5544 5621 5684 5742 5880 5940 6090 6132 6264 6351 6380 6424 6468 6570 6615 6699 6930 7105 7154 7227 7308 7560 7656 7665 7830 7884 8030 8085 8120 8316 8468 8526 8613 8760 8820 8932 9135 9198 9240 9570 9636 9702 9855 10220 10395 10440 10584 10585 10731 10780 10962 11165 11242 11368 11484 11880 12045 12180 12264 12702 12760 12789 12936 13140 13230 13398 13797 13860 14210 14308 14355 14454 14553 14616 14819 15330 15631 15660 15768 16060 16170 16632 16863 16936 17052 17226 17640 17864 17885 18270 18396 19053 19140 19272 19404 19710 20097 20440 20790 21170 21315 21462 21560 21681 21924 22330 22484 22968 22995 23287 24090 24255 24360 25404 25578 26280 26460 26796 27405 27594 27720 28105 28420 28616 28710 28908 29106 29638 30660 31262 31320 31755 32120 32193 32340 33495 33726 34104 34452 35770 36135 36540 36792 38106 38280 38367 38808 39217 39347 39420 40194 41580 42340 42630 42924 43065 43362 43848 44457 44660 44968 45990 46574 46893 48180 48510 50589 50808 51156 52920 53592 53655 54810 55188 56210 56840 57159 57420 57816 58212 59276 60291 61320 62524 63510 63945 64386 64680 66990 67452 68904 68985 69861 71540 72270 72765 73080 74095 76212 76734 78155 78434 78694 78840 80388 83160 84315 84680 85260 85848 86130 86724 88914 89320 91980 93148 93786 95265 96360 96579 97020 100485 101178 102312 103733 107310 108405 109620 110376 112420 114318 114840 116424 116435 117651 118041 118552 120582 125048 127020 127890 128772 133371 133980 134904 137970 139722 140679 143080 144540 145530 148190 151767 152424 153468 156310 156868 157388 160776 160965 163009 168630 170520 172260 173448 177828 183960 186296 187572 190530 191835 193158 194040 196085 196735 200970 202356 207466 209583 214620 216810 219240 222285 224840 228636 232870 234465 235302 236082 241164 252945 254040 255780 257544 266742 267960 274519 275940 279444 281358 285795 289080 291060 296380 301455 303534 306936 311199 312620 313736 314776 321930 326018 337260 344520 349305 352953 354123 355656 375144 381060 383670 386316 392170 393470 400113 401940 404712 414932 419166 422037 429240 431387 433620 444570 457272 465740 468930 470604 472164 482328 482895 489027 505890 511560 518665 533484 549038 551880 558888 562716 571590 582120 588255 590205 592760 602910 607068 622398 625240 628749 643860 652036 666855 674520 698610 703395 705906 708246 758835 762120 767340 772632 784340 786940 800226 803880 815045 823557 829864 838332 844074 862774 867240 889140 931480 933597 937860 941208 944328 965790 978054 1011780 1037330 1047915 1058859 1062369 1066968 1098076 1125432 1137293 1141063 1143180 1176510 1180410 1205820 1214136 1244796 1257498 1287720 1294161 1304072 1333710 1372595 1397220 1406790 1411812 1416492 1467081 1517670 1534680 1555995 1568680 1573880 1600452 1630090 1647114 1676664 1688148 1725548 1764765 1770615 1778280 1867194 1875720 1921633 1931580 1956108 2000565 2023560 2074660 2095830 2110185 2117718 2124738 2156935 2196152 2274586 2282126 2286360 2353020 2360820 2411640 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300598305 307069110 308087010 309186828 314912510 317069445 318442040 326128572 332089556 334364142 337776021 343540920 345893940 350286244 358247295 360717966 362365080 375306690 377895012 380483334 386483535 400797740 407660715 409425480 410782680 415072728 415111945 420837627 422759260 429896754 437857805 440877514 445818856 450368028 465897960 472368765 477663060 480957288 498134334 500408920 501546213 507311112 515311380 518840910 525429366 541076949 543547620 557273570 561116836 562960035 566842518 570725001 573195672 581156723 601196610 613000927 614138220 616174020 618373656 629825020 634138890 652257144 661316271 664179112 668728284 675552042 691787880 700572488 701396045 716494590 721435932 747201501 750613380 755790024 760966668 772967070 788144049 801595480 815321430 830223890 835910355 841675254 845518520 850263777 859793508 875715610 881755028 900736056 901794915 913246279 944737530 951208335 955326120 996268668 1003092426 1030622760 1037681820 1050858732 1074741885 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11903692878 12037109112 12204291183 12260018540 12344570392 12625128810 12785447906 13226325420 13511040840 13698694185 13887641691 13947761352 14712022248 14944030020 15046386390 15150154572 15430712990 15691231521 15762880980 15871590504 16272388244 16438433022 16551025029 16833505080 17005275540 17434701690 17932836024 18264925580 18390027810 18516855588 18915457176 18937693215 19178171859 19839488130 20061848520 20340485305 20921642028 21643077960 21917910696 22068033372 22416045030 22829000040 23146069485 23246268920 23644321470 23807385756 24408582366 24520037080 24657649533 25250257620 25570895812 26152052535 26452650840 27397388370 27585041715 27775283382 29759232195 29888060040 30092772780 30300309144 30861425980 31382463042 31525761960 31963619765 32544776488 32876866044 33102050058 34010551080 34869403380 36529851160 36612873549 36780055620 37033711176 37875386430 38356343718 39678976260 40680970610 41096082555 41662925073 41843284056 44136066744 44749067671 44832090060 46292138970 47288642940 47614771512 48817164732 49315299066 50500515240 51141791624 52304105070 54794776740 55170083430 55550566764 57534515577 59518464390 60185545560 61021455915 61722851960 62764926084 63927239530 65753732088 66204100116 69438208455 69738806760 73225747098 73560111240 75750772860 76712687436 78456157605 79357952520 81361941220 82192165110 82755125145 83325850146 89498135342 89664180120 92584277940 94577285880 95890859295 97634329464 98630598132 104608210140 109589553480 109838620647 110340166860 111101133528 115069031154 119036928780 122042911830 123288247665 125529852168 127854479060 132408200232 134247203013 138876416910 146451494196 151501545720 153425374872 156912315210 162723882440 164384330220 165510250290 166651700292 172603546731 178996270684 183064367745 185168555880 191781718590 197261196264 208314625365 209216420280 219677241294 220680333720 223745338355 230138062308 238073857560 244085823660 246576495330 255708958120 268494406026 277752833820 287672577885 292902988392 313824630420 328768660440 331020500580 333303400584 345207093462 357992541368 366128735490 383563437180 402741609039 416629250730 439354482588 447490676710 460276124616 488171647320 493152990660 536988812052 549193103235 555505667640 575345155770 627649260840 662041001160 671236015065 690414186924 732257470980 767126874360 805483218078 833258501460 863017733655 878708965176 894981353420 986305981320 1073977624104 1098386206470 1150690311540 1208224827117 1342472030130 1380828373848 1464514941960 1610966436156 1666517002920 1726035467310 1789962706840 2013708045195 2196772412940 2301380623080 2416449654234 2684944060260 3221932872312 3452070934620 4027416090390 4393544825880 4832899308468 5369888120520 6041124135585 6904141869240 8054832180780 9665798616936 12082248271170 16109664361560 24164496542340 48328993084680
- Sum of all divisors σ(n): 214386295104000
- Sum of proper divisors (its aliquot sum) s(n): 166057302019320
- 48328993084680 is an abundant number, because the sum of its proper divisors (166057302019320) is greater than itself. Its abundance is 117728308934640
Bases of 48328993084680
- Binary: 10101111110100011110000111011100010101000010002
- Hexadecimal: 0x2BF478771508
- Base-36: H4Q16NXU0
Squares and roots of 48328993084680
- 48328993084680 squared (483289930846802) is 2335691572579047261650702400
- 48328993084680 cubed (483289930846803) is 112881621859118129420979686851264679232000
-
The
square root of 48328993084680 is 6951905.7160378691 -
The
cube root of 48328993084680 is 36425.2534485899
Scales and comparisons
How big is 48328993084680?- 48,328,993,084,680 seconds is equal to 1,536,712 years, 25 weeks, 2 days, 21 hours, 18 minutes.
-
To count from 1 to 48,328,993,084,680 would take you about three million, eight hundred forty-one thousand, seven hundred eighty-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 48328993084680 cubic inches would be around 3035.4 feet tall.
Recreational maths with 48328993084680
- 48328993084680 backwards is 08648039982384
- 48328993084680 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48328993084680's digits is 72
- More coming soon!
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The information we have on file for 48328993084680 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!
Keywords: Divisors of 48328993084680, math, Factors of 48328993084680, curriculum, school, college, exams, university, Prime factorization of 48328993084680, STEM, science, technology, engineering, physics, economics, calculator, forty-eight trillion, three hundred twenty-eight billion, nine hundred ninety-three million, eighty-four thousand, six hundred eighty.