48198168961024000
48,198,168,961,024,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 48198168961024000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1088 divisors.
48198168961024000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty-eight divisors.
Prime factorization of 48198168961024000:
216 × 53 × 17 × 31 × 181 × 61681
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 31 × 181 × 61681)See below for interesting mathematical facts about the number 48198168961024000 from the Numbermatics database.
Names of 48198168961024000
- Cardinal: 48198168961024000 can be written as Forty-eight quadrillion, one hundred ninety-eight trillion, one hundred sixty-eight billion, nine hundred sixty-one million, twenty-four thousand.
Scientific notation
- Scientific notation: 4.8198168961024 × 1016
Factors of 48198168961024000
Divisors of 48198168961024000
- Number of divisors d(n): 1088
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 31 32 34 40 50 62 64 68 80 85 100 124 125 128 136 155 160 170 181 200 248 250 256 272 310 320 340 362 400 425 496 500 512 527 544 620 640 680 724 775 800 850 905 992 1000 1024 1054 1088 1240 1280 1360 1448 1550 1600 1700 1810 1984 2000 2048 2108 2125 2176 2480 2560 2635 2720 2896 3077 3100 3200 3400 3620 3875 3968 4000 4096 4216 4250 4352 4525 4960 5120 5270 5440 5611 5792 6154 6200 6400 6800 7240 7750 7936 8000 8192 8432 8500 8704 9050 9920 10240 10540 10880 11222 11584 12308 12400 12800 13175 13600 14480 15385 15500 15872 16000 16384 16864 17000 17408 18100 19840 20480 21080 21760 22444 22625 23168 24616 24800 25600 26350 27200 28055 28960 30770 31000 31744 32000 32768 33728 34000 34816 36200 39680 40960 42160 43520 44888 45250 46336 49232 49600 51200 52700 54400 56110 57920 61540 61681 62000 63488 64000 65536 65875 67456 68000 69632 72400 76925 79360 81920 84320 87040 89776 90500 92672 95387 98464 99200 102400 105400 108800 112220 115840 123080 123362 124000 126976 128000 131750 134912 136000 139264 140275 144800 153850 158720 163840 168640 174080 179552 181000 185344 190774 196928 198400 204800 210800 217600 224440 231680 246160 246724 248000 253952 256000 263500 269824 272000 278528 280550 289600 307700 308405 317440 327680 337280 348160 359104 362000 370688 381548 384625 393856 396800 409600 421600 435200 448880 463360 476935 492320 493448 496000 507904 512000 527000 539648 544000 557056 561100 579200 615400 616810 634880 674560 696320 701375 718208 724000 741376 763096 769250 787712 793600 819200 843200 870400 897760 926720 953870 984640 986896 992000 1015808 1024000 1048577 1054000 1079296 1088000 1114112 1122200 1158400 1230800 1233620 1269760 1349120 1392640 1402750 1436416 1448000 1482752 1526192 1538500 1542025 1575424 1587200 1638400 1686400 1740800 1795520 1853440 1907740 1912111 1969280 1973792 1984000 2031616 2048000 2097154 2108000 2158592 2176000 2244400 2316800 2384675 2461600 2467240 2539520 2698240 2785280 2805500 2872832 2896000 2965504 3052384 3077000 3084050 3150848 3174400 3372800 3481600 3591040 3706880 3815480 3824222 3938560 3947584 3968000 4096000 4194308 4216000 4317184 4352000 4488800 4633600 4769350 4923200 4934480 5079040 5242885 5396480 5570560 5611000 5745664 5792000 5931008 6104768 6154000 6168100 6301696 6348800 6745600 6963200 7182080 7413760 7630960 7648444 7710125 7877120 7895168 7936000 8192000 8388616 8432000 8634368 8704000 8977600 9267200 9538700 9560555 9846400 9868960 10158080 10485770 10792960 11164261 11222000 11491328 11584000 11862016 11923375 12209536 12308000 12336200 12603392 12697600 13491200 13926400 14364160 14827520 15261920 15296888 15420250 15754240 15790336 15872000 16777232 16864000 17268736 17408000 17955200 18534400 19077400 19121110 19692800 19737920 20971540 21585920 22328522 22444000 22982656 23168000 23846750 24419072 24616000 24672400 25206784 25395200 26214425 26982400 27852800 28728320 29655040 30523840 30593776 30840500 31508480 31580672 31744000 32505887 33554464 33728000 34537472 34816000 35910400 37068800 38154800 38242220 39385600 39475840 41943080 43171840 44657044 44888000 45965312 46336000 47693500 47802775 48838144 49232000 49344800 50413568 50790400 52428850 53964800 55821305 57456640 59310080 61047680 61187552 61681000 63016960 63161344 63488000 65011774 67108928 67456000 69632000 71820800 74137600 76309600 76484440 78771200 78951680 83886160 86343680 89314088 89776000 91930624 92672000 95387000 95605550 97676288 98464000 98689600 100827136 104857700 107929600 111642610 114913280 122095360 122375104 123362000 126033920 126322688 126976000 130023548 131072125 134217856 134912000 139264000 143641600 148275200 152619200 152968880 157542400 157903360 162529435 167772320 172687360 178628176 179552000 183861248 185344000 189792437 190774000 191211100 195352576 196928000 197379200 201654272 209715400 215859200 223285220 229826560 239013875 244190720 244750208 246724000 252067840 252645376 253952000 260047096 262144250 268435712 269824000 279106525 287283200 296550400 305238400 305937760 315084800 315806720 325058870 335544640 346092091 357256352 359104000 367722496 370688000 379584874 381548000 382422200 390705152 393856000 394758400 419430800 431718400 446570440 459653120 478027750 488381440 489500416 493448000 504135680 505290752 520094192 524288500 536871424 539648000 558213050 574566400 610476800 611875520 630169600 631613440 650117740 671089280 692184182 714512704 718208000 741376000 759169748 763096000 764844400 781410304 787712000 789516800 812647175 838861600 863436800 893140880 919306240 948962185 956055500 976762880 979000832 986896000 1008271360 1010581504 1040188384 1048577000 1073742848 1079296000 1116426100 1149132800 1220953600 1223751040 1260339200 1263226880 1300235480 1342178560 1384368364 1395532625 1429025408 1436416000 1482752000 1518339496 1526192000 1529688800 1562820608 1575424000 1579033600 1625294350 1677723200 1730460455 1786281760 1838612480 1897924370 1912111000 1953525760 1958001664 1973792000 2021163008 2080376768 2097154000 2147485696 2158592000 2232852200 2298265600 2441907200 2447502080 2520678400 2526453760 2600470960 2684357120 2768736728 2791065250 2858050816 2872832000 3036678992 3052384000 3059377600 3125641216 3150848000 3158067200 3250588700 3355446400 3460920910 3572563520 3795848740 3824222000 3907051520 3916003328 3947584000 4042326016 4063235875 4160753536 4194308000 4294971392 4317184000 4465704400 4596531200 4744810925 4883814400 4895004160 5041356800 5052907520 5200941920 5368714240 5537473456 5582130500 5716101632 5745664000 5883565547 6073357984 6104768000 6118755200 6251282432 6301696000 6316134400 6501177400 6710892800 6921841820 7145127040 7591697480 7648444000 7814103040 7832006656 7895168000 8126471750 8321507072 8388616000 8589942784 8652302275 8931408800 9193062400 9489621850 9767628800 9790008320 10105815040 10401883840 10737428480 11074946912 11164261000 11432203264 11491328000 11767131094 12146715968 12209536000 12237510400 12603392000 12632268800 13002354800 13421785600 13843683640 14290254080 15183394960 15296888000 15628206080 15664013312 15790336000 16252943500 16643014144 16777232000 17179885568 17304604550 17862817600 18979243700 19535257600 19580016640 20211630080 20803767680 21474856960 22149893824 22328522000 22864406528 22982656000 23534262188 23724054625 24293431936 24419072000 24475020800 25206784000 25264537600 26004709600 26843571200 27687367280 28580508160 29417827735 30366789920 30593776000 31256412160 31328026624 31580672000 32505887000 33286028288 33554464000 34359771136 34609209100 35725635200 37958487400 39070515200 39160033280 41607535360 42949713920 43261511375 44299787648 44657044000 45728813056 45965312000 47068524376 47448109250 48586863872 48838144000 48950041600 50529075200 52009419200 53687142400 55374734560 57161016320 58835655470 60733579840 61187552000 62656053248 63161344000 65011774000 66572056576 67108928000 68719542272 69218418200 71451270400 75916974800 78141030400 78320066560 83215070720 85899427840 86523022750 88599575296 89314088000 91457626112 94137048752 94896218500 97173727744 97676288000 97900083200 101058150400 104018838400 107374284800 110749469120 114322032640 117671310940 121467159680 122375104000 125312106496 126322688000 130023548000 133144113152 134217856000 138436836400 142902540800 147089138675 151833949600 156282060800 156640133120 166430141440 171798855680 173046045500 177199150592 178628176000 182915252224 188274097504 189792437000 194347455488 195352576000 195800166400 208037676800 214748569600 221498938240 228644065280 235342621880 242934319360 244750208000 252645376000 260047096000 266288226304 268435712000 276873672800 285805081600 294178277350 303667899200 313280266240 332860282880 343597711360 346092091000 354398301184 357256352000 365830504448 376548195008 379584874000 388694910976 390705152000 391600332800 416075353600 429497139200 442997876480 457288130560 470685243760 485868638720 489500416000 505290752000 520094192000 532576452608 536871424000 553747345600 571610163200 588356554700 607335798400 626560532480 665720565760 692184182000 708796602368 714512704000 731661008896 735445693375 753096390016 759169748000 777389821952 781410304000 783200665600 832150707200 858994278400 885995752960 914576261120 941370487520 971737277440 979000832000 1040188384000 1065152905216 1073742848000 1107494691200 1143220326400 1176713109400 1214671596800 1331441131520 1384368364000 1417593204736 1429025408000 1470891386750 1506192780032 1518339496000 1554779643904 1566401331200 1664301414400 1717988556800 1771991505920 1829152522240 1882740975040 1943474554880 1958001664000 2080376768000 2130305810432 2147485696000 2214989382400 2286440652800 2353426218800 2429343193600 2662882263040 2768736728000 2835186409472 2858050816000 2941782773500 3012385560064 3036678992000 3109559287808 3132802662400 3328602828800 3543983011840 3658305044480 3765481950080 3886949109760 3916003328000 4160753536000 4294971392000 4429978764800 4572881305600 4706852437600 4858686387200 5325764526080 5537473456000 5670372818944 5716101632000 5883565547000 6024771120128 6073357984000 6219118575616 6657205657600 7087966023680 7530963900160 7773898219520 7832006656000 8321507072000 8589942784000 8859957529600 9145762611200 9413704875200 9717372774400 10651529052160 11074946912000 11340745637888 11432203264000 11767131094000 12049542240256 12146715968000 12438237151232 13314411315200 14175932047360 15061927800320 15547796439040 15664013312000 16643014144000 17719915059200 18291525222400 18827409750400 19434745548800 22149893824000 22681491275776 22864406528000 23534262188000 24099084480512 24293431936000 26628822630400 28351864094720 30123855600640 31095592878080 33286028288000 35439830118400 37654819500800 38869491097600 44299787648000 45728813056000 47068524376000 48198168961024 48586863872000 53257645260800 56703728189440 60247711201280 62191185756160 66572056576000 70879660236800 75309639001600 77738982195200 88599575296000 91457626112000 94137048752000 96396337922048 97173727744000 113407456378880 120495422402560 133144113152000 141759320473600 150619278003200 155477964390400 177199150592000 188274097504000 192792675844096 194347455488000 240990844805120 266288226304000 283518640947200 301238556006400 310955928780800 354398301184000 376548195008000 385585351688192 388694910976000 481981689610240 567037281894400 602477112012800 708796602368000 753096390016000 777389821952000 963963379220480 1204954224025600 1417593204736000 1506192780032000 1554779643904000 1927926758440960 2409908448051200 2835186409472000 3012385560064000 4819816896102400 6024771120128000 9639633792204800 12049542240256000 24099084480512000 48198168961024000
- Sum of all divisors σ(n): 132215852513332224
- Sum of proper divisors (its aliquot sum) s(n): 84017683552308224
- 48198168961024000 is an abundant number, because the sum of its proper divisors (84017683552308224) is greater than itself. Its abundance is 35819514591284224
Bases of 48198168961024000
- Binary: 101010110011101111111010101100111011111100000000000000002
- Hexadecimal: 0xAB3BFAB3BF0000
- Base-36: D6KTP5BJRB4
Squares and roots of 48198168961024000
- 48198168961024000 squared (481981689610240002) is 2323063491195417331631128576000000
- 48198168961024000 cubed (481981689610240003) is 111967406655823013942653594849122476621824000000000
-
The
square root of 48198168961024000 is 219540813.8843982695 -
The
cube root of 48198168961024000 is 363923.5664520973
Scales and comparisons
How big is 48198168961024000?- 48,198,168,961,024,000 seconds is equal to 1,532,552,686 years, 12 weeks, 1 day, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 48,198,168,961,024,000 would take you about four billion, five hundred ninety-seven million, six hundred fifty-eight thousand and fifty-eight 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 48198168961024000 cubic inches would be around 30327 feet tall.
Recreational maths with 48198168961024000
- 48198168961024000 backwards is 00042016986189184
- The number of decimal digits it has is: 17
- The sum of 48198168961024000's digits is 67
- More coming soon!
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The information we have on file for 48198168961024000 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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