48735164453668000
48,735,164,453,668,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 48735164453668000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2304 divisors.
48735164453668000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 48735164453668000:
25 × 53 × 72 × 11 × 73 × 151 × 911 × 2251
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 11 × 73 × 151 × 911 × 2251)See below for interesting mathematical facts about the number 48735164453668000 from the Numbermatics database.
Names of 48735164453668000
- Cardinal: 48735164453668000 can be written as Forty-eight quadrillion, seven hundred thirty-five trillion, one hundred sixty-four billion, four hundred fifty-three million, six hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.8735164453668 × 1016
Factors of 48735164453668000
Divisors of 48735164453668000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 49 50 55 56 70 73 77 80 88 98 100 110 112 125 140 146 151 154 160 175 176 196 200 220 224 245 250 275 280 292 302 308 350 352 365 385 392 400 440 490 500 511 539 550 560 584 604 616 700 730 755 770 784 800 803 875 880 911 980 1000 1022 1057 1078 1100 1120 1168 1208 1225 1232 1375 1400 1460 1510 1540 1568 1606 1661 1750 1760 1822 1825 1925 1960 2000 2044 2114 2156 2200 2251 2336 2416 2450 2464 2555 2695 2750 2800 2920 3020 3080 3212 3322 3500 3577 3644 3650 3775 3850 3920 4000 4015 4088 4228 4312 4400 4502 4555 4832 4900 5110 5285 5390 5500 5600 5621 5840 6040 6125 6160 6377 6424 6644 7000 7154 7288 7300 7399 7550 7700 7840 8030 8176 8305 8456 8624 8800 9004 9110 9125 9625 9800 10021 10220 10570 10780 11000 11023 11242 11255 11627 11680 12080 12250 12320 12754 12775 12848 13288 13475 14000 14308 14576 14600 14798 15100 15400 15757 16060 16352 16610 16912 17248 17885 18008 18220 18250 18875 19250 19600 20042 20075 20440 21140 21560 22000 22046 22484 22510 22775 23254 24160 24500 24761 25508 25550 25696 26425 26576 26950 28000 28105 28616 29152 29200 29596 30200 30800 31514 31885 32120 33220 33824 35770 36016 36440 36500 36995 37750 38500 39200 39347 40084 40150 40880 41525 42280 43120 44000 44092 44639 44968 45020 45550 46508 49000 49522 50105 51016 51100 52850 53152 53900 55115 56210 56275 57232 58135 58400 59192 60400 61600 63028 63770 63875 64240 66440 66503 67375 70147 71540 72032 72880 73000 73990 75500 77000 77161 78694 78785 80168 80300 81389 81760 83050 84560 86240 88184 89278 89425 89936 90040 91100 93016 98000 99044 100210 100375 102032 102200 105700 107800 110230 110299 112420 112550 113875 114464 116270 118384 120800 121253 123805 126056 127540 127750 128480 132125 132880 133006 134750 137561 140294 140525 143080 145760 146000 147980 151000 154000 154322 157388 157570 159425 160336 160600 162778 164323 166100 169120 173327 176368 178556 178850 179872 180080 182200 184975 186032 196000 196735 198088 200420 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4034367918350 4172531203225 4191551084000 4330090133600 4335097354000 4421225116000 4430469495788 4520887240600 4610706192400 4768607089400 4863303508000 4972975964660 5063393709472 5340839940128 5349633858800 5412612667000 5538086869735 5651109050750 5763382740500 5868171517600 5960758861750 6069136295600 6216219955825 6329242136840 6454988669360 6586723132000 6676049925160 6687042323500 6812295842000 6962166350524 7335214397000 7586420369500 7642334084000 7911552671050 7956761543456 8068735836700 8345062406450 8670194708000 8702707938155 8860938991576 9041774481200 9221412384800 9537214178800 9945951929320 10085919795875 10699267717600 10825225334000 11076173739470 11302218101500 11526765481000 11921517723500 12138272591200 12183791113417 12432439911650 12658484273680 12909977338720 13352099850320 13374084647000 13624591684000 13924332701048 14670428794000 15172840739000 15823105342100 16137471673400 16690124812900 17405415876310 17721877983152 18083548962400 19074428357600 19778881677625 19891903858640 20171839591750 20862656016125 21650450668000 22152347478940 22604436203000 23053530962000 23843035447000 24367582226834 24864879823300 25316968547360 26704199700640 26748169294000 27690434348675 27848665402096 29340857588000 30345681478000 31081099779125 31646210684200 32274943346800 33380249625800 34810831752620 35443755966304 39557763355250 39783807717280 40343679183500 41725312032250 43513539690775 44304694957880 45208872406000 46107061924000 47686070894000 48735164453668 49729759646600 53496338588000 55380868697350 55697330804192 60691362956000 60918955567085 62162199558250 63292421368400 64549886693600 66760499251600 69621663505240 79115526710500 80687358367000 83450624064500 87027079381550 88609389915760 90417744812000 95372141788000 97470328907336 99459519293200 110761737394700 121837911134170 124324399116500 126584842736800 133520998503200 138452171743375 139243327010480 158231053421000 161374716734000 166901248129000 174054158763100 177218779831520 194940657814672 198919038586400 217567698453875 221523474789400 243675822268340 248648798233000 276904343486750 278486654020960 304594777835425 316462106842000 322749433468000 333802496258000 348108317526200 389881315629344 435135396907750 443046949578800 487351644536680 497297596466000 553808686973500 609189555670850 632924213684000 667604992516000 696216635052400 870270793815500 886093899157600 974703289073360 994595192932000 1107617373947000 1218379111341700 1392433270104800 1522973889177125 1740541587631000 1949406578146720 2215234747894000 2436758222683400 3045947778354250 3481083175262000 4430469495788000 4873516445366800 6091895556708500 6962166350524000 9747032890733600 12183791113417000 24367582226834000 48735164453668000
- Sum of all divisors σ(n): 155295825527291904
- Sum of proper divisors (its aliquot sum) s(n): 106560661073623904
- 48735164453668000 is an abundant number, because the sum of its proper divisors (106560661073623904) is greater than itself. Its abundance is 57825496619955904
Bases of 48735164453668000
- Binary: 101011010010010001011111101101010101010011000100101000002
- Hexadecimal: 0xAD245FB554C4A0
- Base-36: DBV69GZ210G
Squares and roots of 48735164453668000
- 48735164453668000 squared (487351644536680002) is 2375116254326064968918654224000000
- 48735164453668000 cubed (487351644536680003) is 115751681251160726602502758585320760493632000000000
-
The
square root of 48735164453668000 is 220760423.2050391771 -
The
cube root of 48735164453668000 is 365270.1183173397
Scales and comparisons
How big is 48735164453668000?- 48,735,164,453,668,000 seconds is equal to 1,549,627,481 years, 44 weeks, 6 days, 22 hours, 26 minutes, 40 seconds.
-
To count from 1 to 48,735,164,453,668,000 would take you about four billion, six hundred forty-eight million, eight hundred eighty-two thousand, four hundred forty-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 48735164453668000 cubic inches would be around 30439.2 feet tall.
Recreational maths with 48735164453668000
- 48735164453668000 backwards is 00086635446153784
- 48735164453668000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48735164453668000's digits is 70
- More coming soon!
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"Number 48735164453668000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 48735164453668000 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/48735164453668000/
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The information we have on file for 48735164453668000 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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