48381212464431200
48,381,212,464,431,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 48381212464431200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 648 divisors.
48381212464431200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 48381212464431200:
25 × 52 × 232 × 41 × 11872 × 1979
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 23 × 23 × 41 × 1187 × 1187 × 1979)See below for interesting mathematical facts about the number 48381212464431200 from the Numbermatics database.
Names of 48381212464431200
- Cardinal: 48381212464431200 can be written as Forty-eight quadrillion, three hundred eighty-one trillion, two hundred twelve billion, four hundred sixty-four million, four hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 4.83812124644312 × 1016
Factors of 48381212464431200
Divisors of 48381212464431200
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 4 5 8 10 16 20 23 25 32 40 41 46 50 80 82 92 100 115 160 164 184 200 205 230 328 368 400 410 460 529 575 656 736 800 820 920 943 1025 1058 1150 1187 1312 1640 1840 1886 1979 2050 2116 2300 2374 2645 3280 3680 3772 3958 4100 4232 4600 4715 4748 5290 5935 6560 7544 7916 8200 8464 9200 9430 9496 9895 10580 11870 13225 15088 15832 16400 16928 18400 18860 18992 19790 21160 21689 23575 23740 26450 27301 29675 30176 31664 32800 37720 37984 39580 42320 43378 45517 47150 47480 48667 49475 52900 54602 59350 63328 75440 79160 81139 84640 86756 91034 94300 94960 97334 98950 105800 108445 109204 118700 136505 150880 158320 162278 173512 182068 188600 189920 194668 197900 211600 216890 218408 227585 237400 243335 273010 316640 324556 347024 364136 377200 389336 395800 405695 423200 433780 436816 455170 474800 486670 542225 546020 627923 649112 682525 694048 728272 754400 778672 791600 811390 867560 873632 910340 949600 973340 1046891 1084450 1092040 1119341 1137925 1216675 1255846 1298224 1365050 1408969 1456544 1557344 1583200 1622780 1735120 1820680 1866197 1946680 2028475 2093782 2168900 2184080 2238682 2275850 2349073 2433350 2511692 2596448 2730100 2817938 3139615 3245560 3470240 3641360 3732394 3893360 4056950 4187564 4337800 4368160 4477364 4551700 4698146 4866700 5023384 5234455 5460200 5596705 5635876 6279230 6491120 7044845 7282720 7464788 7786720 8113900 8375128 8675600 8954728 9103400 9330985 9396292 9733400 10046768 10468910 10920400 11193410 11271752 11745365 12558460 12982240 14089690 14929576 15698075 16227800 16750256 17351200 17909456 18206800 18661970 18792584 19466800 20093536 20937820 21840800 22386820 22543504 23490730 25116920 25744843 26172275 27983525 28179380 29859152 31396150 32406287 32455600 33500512 35224225 35818912 36413600 37323940 37585168 38933600 41875640 42922531 44773640 45087008 46654925 46981460 50233840 51489686 52344550 54028679 55967050 56358760 57767729 58726825 59718304 62792300 64812574 64911200 70448450 74647880 75170336 83751280 85845062 89547280 93309850 93962920 96311993 100467680 102979372 104689100 108057358 111934100 112717520 115535458 117453650 125584600 128724215 129625148 140896900 149295760 162031435 167502560 171690124 179094560 186619700 187925840 192623986 205958744 209378200 214612655 216114716 223868200 225435040 231070916 234907300 251169200 257448430 259250296 270143395 281793800 288838645 298591520 324062870 343380248 373239400 375851680 385247972 411917488 418756400 429225310 432229432 447736400 462141832 469814600 481559965 502338400 514896860 518500592 540286790 563587600 577677290 643621075 648125740 686760496 745344601 746478800 770495944 810157175 823834976 837512800 858450620 864458864 895472800 924283664 939629200 963119930 1029793720 1037001184 1073063275 1080573580 1127175200 1155354580 1242659617 1287242150 1296251480 1328657767 1350716975 1373520992 1444193225 1490689202 1492957600 1540991888 1620314350 1716901240 1728917728 1848567328 1879258400 1926239860 2059587440 2146126550 2161147160 2215175839 2310709160 2407799825 2485319234 2574484300 2592502960 2657315534 2701433950 2788349651 2888386450 2981378404 3081983776 3240628700 3433802480 3726723005 3852479720 4119174880 4292253100 4322294320 4430351678 4621418320 4815599650 4970638468 5148968600 5185005920 5314631068 5402867900 5576699302 5776772900 5962756808 6213298085 6481257400 6643288835 6867604960 7453446010 7704959440 8584506200 8644588640 8860703356 9242836640 9631199300 9941276936 10297937200 10629262136 10805735800 11075879195 11153398604 11553545800 11925513616 12426596170 12962514800 13286577670 13941748255 14906892020 15409918880 17169012400 17721406712 18633615025 19262398600 19882553872 20595874400 21258524272 21611471600 22151758390 22306797208 23107091600 23851027232 24853192340 25925029600 26573155340 27883496510 29813784040 30559128641 31066490425 33216444175 34338024800 35442813424 37267230050 38524797200 39765107744 42517048544 43222943200 44303516780 44613594416 46214183200 49706384680 50949044297 53146310680 55379395975 55766993020 59627568080 61118257282 62132980850 64132041973 66432888350 69708741275 70885626848 74534460100 77049594400 88607033560 89227188832 99412769360 101898088594 106292621360 110758791950 111533986040 114322335691 119255136160 122236514564 124265961700 128264083946 132865776700 139417482550 149068920200 152795643205 177214067120 198825538720 203796177188 212585242720 221517583900 223067972080 228644671382 244473029128 248531923400 254745221485 256528167892 265731553400 278834965100 298137840400 305591286410 320660209865 354428134240 407592354376 443035167800 446135944160 457289342764 488946058256 497063846800 509490442970 513056335784 531463106800 557669930200 571611678455 596275680800 611182572820 641320419730 763978216025 815184708752 886070335600 914578685528 977892116512 994127693600 1018980885940 1026112671568 1062926213600 1115339860400 1143223356910 1222365145640 1273726107425 1282640839460 1475036965379 1527956432050 1603301049325 1630369417504 1772140671200 1829157371056 2037961771880 2052225343136 2230679720800 2286446713820 2444730291280 2547452214850 2565281678920 2629413720893 2858058392275 2950073930758 3055912864100 3206602098650 3658314742112 4075923543760 4572893427640 4889460582560 5094904429700 5130563357840 5258827441786 5716116784550 5900147861516 6111825728200 6413204197300 7375184826895 8151847087520 9145786855280 10189808859400 10261126715680 10517654883572 11432233569100 11800295723032 12223651456400 12826408394600 13147068604465 14750369653790 18291573710560 20379617718800 21035309767144 22864467138200 23600591446064 24447302912800 25652816789200 26294137208930 29500739307580 36875924134475 40759235437600 42070619534288 45728934276400 47201182892128 51305633578400 52588274417860 59001478615160 60476515580539 65735343022325 73751848268950 84141239068576 91457868552800 105176548835720 118002957230320 120953031161078 131470686044650 147503696537900 210353097671440 236005914460640 241906062322156 262941372089300 295007393075800 302382577902695 420706195342880 483812124644312 525882744178600 590014786151600 604765155805390 967624249288624 1051765488357200 1180029572303200 1209530311610780 1511912889513475 1935248498577248 2103530976714400 2419060623221560 3023825779026950 4838121246443120 6047651558053900 9676242492886240 12095303116107800 24190606232215600 48381212464431200
- Sum of all divisors σ(n): 126651204027505080
- Sum of proper divisors (its aliquot sum) s(n): 78269991563073880
- 48381212464431200 is an abundant number, because the sum of its proper divisors (78269991563073880) is greater than itself. Its abundance is 29888779098642680
Bases of 48381212464431200
- Binary: 101010111110001001110100110101101011111011000000011000002
- Hexadecimal: 0xABE274D6BEC060
- Base-36: D8DPI67FMU8
Squares and roots of 48381212464431200
- 48381212464431200 squared (483812124644312002) is 2340741719528432908925139533440000
- 48381212464431200 cubed (483812124644312003) is 113247922456863138285137397908534992962979328000000
-
The
square root of 48381212464431200 is 219957296.9110849935 -
The
cube root of 48381212464431200 is 364383.6786403503
Scales and comparisons
How big is 48381212464431200?- 48,381,212,464,431,200 seconds is equal to 1,538,372,903 years, 23 weeks, 3 days, 20 hours, 13 minutes, 20 seconds.
-
To count from 1 to 48,381,212,464,431,200 would take you about four billion, six hundred fifteen million, one hundred eighteen thousand, seven hundred ten 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 48381212464431200 cubic inches would be around 30365.3 feet tall.
Recreational maths with 48381212464431200
- 48381212464431200 backwards is 00213446421218384
- The number of decimal digits it has is: 17
- The sum of 48381212464431200's digits is 53
- More coming soon!
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The information we have on file for 48381212464431200 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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