48674737606009632
48,674,737,606,009,632 is an even composite number composed of six prime numbers multiplied together.
What does the number 48674737606009632 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
48674737606009632 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 48674737606009632:
25 × 3 × 132 × 433 × 733 × 97
(2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 43 × 43 × 43 × 73 × 73 × 73 × 97)See below for interesting mathematical facts about the number 48674737606009632 from the Numbermatics database.
Names of 48674737606009632
- Cardinal: 48674737606009632 can be written as Forty-eight quadrillion, six hundred seventy-four trillion, seven hundred thirty-seven billion, six hundred six million, nine thousand, six hundred thirty-two.
Scientific notation
- Scientific notation: 4.8674737606009632 × 1016
Factors of 48674737606009632
Divisors of 48674737606009632
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 73 78 86 96 97 104 129 146 156 169 172 194 208 219 258 291 292 312 338 344 388 416 438 507 516 559 582 584 624 676 688 776 876 949 1014 1032 1118 1164 1168 1248 1261 1352 1376 1552 1677 1752 1849 1898 2028 2064 2236 2328 2336 2522 2704 2847 3104 3139 3354 3504 3698 3783 3796 4056 4128 4171 4472 4656 5044 5329 5408 5547 5694 6278 6708 7008 7081 7267 7396 7566 7592 8112 8342 8944 9312 9417 10088 10658 11094 11388 12337 12513 12556 13416 14162 14534 14792 15132 15184 15987 16224 16393 16684 17888 18834 20176 21243 21316 21801 22188 22776 24037 24674 25026 25112 26832 28324 29068 29584 30264 30368 31974 32786 33368 37011 37668 40352 40807 42486 42632 43602 44376 45552 48074 49179 49348 50052 50224 53664 54223 56648 58136 59168 60528 63948 65572 66736 69277 72111 74022 75336 79507 81614 84972 85264 87204 88752 91104 92053 96148 98358 98696 100104 100448 108446 113296 116272 121056 122421 127896 131144 133472 134977 138554 144222 148044 150672 159014 162669 163228 169944 170528 174408 177504 179353 184106 192296 196716 197392 200208 207831 216892 226592 229147 232544 238521 244842 255792 262288 269954 276159 277108 288444 296088 301344 304483 312481 318028 325338 326456 339888 348816 358706 368212 384592 389017 393432 394784 400416 404931 415662 433784 458294 477042 489684 511584 516913 524576 530491 538059 539908 552318 554216 576888 592176 608966 624962 636056 650676 652912 679776 687441 697632 704899 717412 736424 769184 778034 786864 809862 831324 867568 900601 913449 916588 937443 954084 979368 1033591 1033826 1060982 1076118 1079816 1104636 1108432 1153776 1167051 1184352 1196689 1217932 1249924 1272112 1301352 1305824 1374882 1409798 1434824 1472848 1550739 1556068 1573728 1591473 1619724 1662648 1735136 1754701 1801202 1826898 1833176 1874886 1908168 1958736 2067182 2067652 2114697 2121964 2152236 2159632 2209272 2216864 2307552 2331589 2334102 2393378 2435864 2499848 2544224 2602704 2701803 2749764 2819596 2869648 2945696 2978911 3100773 3101478 3112136 3182946 3239448 3325296 3509402 3590067 3602404 3653796 3666352 3749772 3816336 3917472 3958279 4134364 4135304 4229394 4243928 4304472 4319264 4418544 4663178 4668204 4786756 4871728 4999696 5057221 5205408 5264103 5403606 5499528 5639192 5739296 5804011 5957822 6201546 6202956 6224272 6365892 6478896 6650592 6719869 6994767 7018804 7180134 7204808 7307592 7332704 7499544 7632672 7712179 7916558 8268728 8270608 8458788 8487856 8608944 8837088 8936733 9326356 9336408 9573512 9743456 9853321 9999392 10114442 10528206 10807212 10999056 11278384 11608022 11874837 11915644 12403092 12405912 12448544 12731784 12957792 13092769 13436683 13439738 13989534 14037608 14360268 14409616 14615184 14999088 15171663 15424358 15833116 16537456 16541216 16727731 16917576 16975712 17217888 17412033 17873466 18652712 18672816 19147024 19706642 20159607 20228884 21056412 21614424 21998112 22227259 22556768 22811113 23136537 23216044 23749674 23831288 24806184 24811824 25463568 26185538 26873366 26879476 27979068 28075216 28720536 28819232 29230368 29559963 29998176 30310657 30343326 30848716 31666232 33074912 33455462 33835152 34824066 35746932 37305424 37345632 37734649 38294048 38725843 39278307 39413284 40310049 40319214 40457768 42112824 43228848 44454518 45622226 46273074 46432088 47499348 47662576 49612368 49623648 50183193 50927136 51457627 52371076 53746732 53758952 55958136 56150432 57441072 59119926 60621314 60686652 61697432 63332464 65743873 66681777 66910924 67670304 68433339 69648132 71493864 74610848 75452143 75469298 77451686 78556614 78826568 80620098 80638428 80915536 84225648 86457696 87358297 88909036 90931971 91244452 92546148 92864176 94998696 95325152 99224736 100258327 100366386 102915254 104742152 107493464 107517904 111916272 113203947 114882144 116177529 118239852 121242628 121373304 123394864 126664928 128093173 131487746 133363554 133821848 136866678 139296264 142987728 150904286 150938596 154372881 154903372 157113228 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121560421177 123294605673 123718298476 125122392096 126562012746 132192154536 135695353872 139542732002 143208167414 149100453372 149612826064 153051736344 155768631072 159860279904 161525491153 164392807564 168749350328 175652588904 176256206048 180307525008 185577447714 190290304646 198800604496 204068981792 209314098003 212417084256 214812251121 224419239096 234203451872 243120842354 246589211346 247436596952 253124025492 264384309072 271390707744 274217694283 279085464004 285435456969 286416334828 298200906744 299225652128 306103472688 323050982306 328785615128 337498700656 351305177808 360615050016 364681263531 371154895428 380580609292 397601208992 402084470047 418628196006 429624502242 448838478192 484576473459 486241684708 493178422692 494873193904 506248050984 528768618144 534276624583 548435388566 558170928008 570870913938 572832669656 596401813488 612206945376 646101964612 657571230256 674997401312 702610355616 729362527062 742309790856 761161218584 804168940094 822653082849 837256392012 859249004484 897676956384 907027758013 969152946918 972483369416 986356845384 989746387808 1012496101968 1068553249166 1096870777132 1116341856016 1141741827876 1145665339312 1192803626976 1206253410141 1292203929224 1315142460512 1458725054124 1484619581712 1522322437168 1602829873749 1608337880188 1645306165698 1674512784024 1718498008968 1814055516026 1938305893836 1944966738832 1972713690768 2024992203936 2137106498332 2193741554264 2232683712032 2283483655752 2291330678624 2412506820282 2584407858448 2721083274039 2917450108248 2969239163424 3000168738043 3044644874336 3205659747498 3216675760376 3290612331396 3349025568048 3436996017936 3628111032052 3876611787672 3889933477664 3945427381536 4274212996664 4387483108528 4566967311504 4825013640564 5168815716896 5227098110611 5442166548078 5834900216496 6000337476086 6411319494996 6433351520752 6581224662792 6698051136096 6873992035872 6945596119579 7256222064104 7753223575344 8548425993328 8774966217056 9000506214129 9133934623008 9650027281128 10454196221222 10884333096156 11669800432992 11791360854169 12000674952172 12822638989992 12866703041504 13162449325584 13891192239158 14512444128208 15506447150688 15681294331833 17096851986656 18001012428258 19300054562256 20836788358737 20908392442444 21768666192312 23582721708338 24001349904344 25645277979984 26324898651168 27782384478316 29024888256416 31362588663666 35374082562507 36002024856516 38600109124512 39002193594559 41673576717474 41816784884888 43537332384624 47165443416676 48002699808688 51290555959968 55564768956632 62725177327332 70748165125014 72004049713032 78004387189118 83347153434948 83633569769776 87074664769248 94330886833352 96005399617376 111129537913264 117006580783677 125450354654664 141496330250028 144008099426064 156008774378236 166694306869896 167267139539552 188661773666704 222259075826528 234013161567354 250900709309328 282992660500056 288016198852128 312017548756472 333388613739792 377323547333408 468026323134708 501801418618656 507028516729267 565985321000112 624035097512944 666777227479584 936052646269416 1014057033458534 1131970642000224 1248070195025888 1521085550187801 1872105292538832 2028114066917068 3042171100375602 3744210585077664 4056228133834136 6084342200751204 8112456267668272 12168684401502408 16224912535336544 24337368803004816 48674737606009632
- Sum of all divisors σ(n): 145097870901984000
- Sum of proper divisors (its aliquot sum) s(n): 96423133295974368
- 48674737606009632 is an abundant number, because the sum of its proper divisors (96423133295974368) is greater than itself. Its abundance is 47748395689964736
Bases of 48674737606009632
- Binary: 101011001110110101101010011111001000101010100011001000002
- Hexadecimal: 0xACED6A7C8AA320
- Base-36: DB9R5RE4VMO
Squares and roots of 48674737606009632
- 48674737606009632 squared (486747376060096322) is 2369230081013888281381242076775424
- 48674737606009632 cubed (486747376060096323) is 115321652521615954962170579109336533913078444883968
-
The
square root of 48674737606009632 is 220623520.0653131453 -
The
cube root of 48674737606009632 is 365119.0894469409
Scales and comparisons
How big is 48674737606009632?- 48,674,737,606,009,632 seconds is equal to 1,547,706,095 years, 1 week, 1 day, 1 hour, 47 minutes, 12 seconds.
-
To count from 1 to 48,674,737,606,009,632 would take you about four billion, six hundred forty-three million, one hundred eighteen thousand, two hundred eighty-five 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 48674737606009632 cubic inches would be around 30426.6 feet tall.
Recreational maths with 48674737606009632
- 48674737606009632 backwards is 23690060673747684
- 48674737606009632 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48674737606009632's digits is 78
- More coming soon!
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"Number 48674737606009632 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 48674737606009632 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/48674737606009632/
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The information we have on file for 48674737606009632 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 48674737606009632, math, Factors of 48674737606009632, curriculum, school, college, exams, university, Prime factorization of 48674737606009632, STEM, science, technology, engineering, physics, economics, calculator, forty-eight quadrillion, six hundred seventy-four trillion, seven hundred thirty-seven billion, six hundred six million, nine thousand, six hundred thirty-two.