48123582991974400

Names of 48123582991974400

• Cardinal: 48123582991974400 can be written as Forty-eight quadrillion, one hundred twenty-three trillion, five hundred eighty-two billion, nine hundred ninety-one million, nine hundred seventy-four thousand, four hundred.

Scientific notation

• Scientific notation: 4.81235829919744 × 10¹⁶

Factors of 48123582991974400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 11095

Divisors of 48123582991974400

• Number of divisors d(n): 405
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 128 155 160 200 248 256 310 320 400 496 512 620 640 775 800 961 992 1024 1240 1280 1550 1600 1922 1984 2048 2480 2560 3100 3200 3844 3968 4096 4805 4960 5120 6200 6400 7688 7936 8192 9610 9920 10240 11057 12400 12800 15376 15872 16384 19220 19840 20480 22114 24025 24800 25600 30752 31744 38440 39680 40960 44228 48050 49600 51200 55285 61504 63488 76880 79360 81920 88456 96100 99200 102400 110570 123008 126976 153760 158720 176912 192200 198400 204800 221140 246016 253952 276425 307520 317440 342767 353824 384400 396800 409600 442280 492032 507904 552850 615040 634880 685534 707648 768800 793600 884560 984064 1105700 1230080 1269760 1371068 1415296 1537600 1587200 1713835 1769120 1968128 2211400 2460160 2539520 2742136 2830592 3075200 3174400 3427670 3538240 3936256 4422800 4920320 5484272 5661184 6150400 6348800 6855340 7076480 7872512 8569175 8845600 9840640 10625777 10968544 11322368 12300800 12697600 13710680 14152960 15745024 17138350 17691200 19681280 21251554 21937088 22644736 24601600 27421360 28305920 34276700 35382400 39362560 42503108 43874176 45289472 49203200 53128885 54842720 56611840 68553400 70764800 78725120 85006216 87748352 90578944 98406400 106257770 109685440 113223680 122257249 137106800 141529600 170012432 175496704 181157888 196812800 212515540 219370880 226447360 244514498 265644425 274213600 283059200 340024864 350993408 393625600 425031080 438741760 452894720 489028996 531288850 548427200 566118400 611286245 680049728 701986816 850062160 877483520 905789440 978057992 1062577700 1096854400 1132236800 1222572490 1360099456 1403973632 1700124320 1754967040 1956115984 2125155400 2193708800 2264473600 2445144980 2720198912 2807947264 3056431225 3400248640 3509934080 3789974719 3912231968 4250310800 4387417600 4528947200 4890289960 5440397824 5615894528 6112862450 6800497280 7019868160 7579949438 7824463936 8500621600 8774835200 9780579920 10880795648 12225724900 13600994560 14039736320 15159898876 15648927872 17001243200 17549670400 18949873595 19561159840 21761591296 24451449800 27201989120 28079472640 30319797752 31297855744 34002486400 35099340800 37899747190 39122319680 43523182592 48902899600 54403978240 60639595504 62595711488 68004972800 70198681600 75799494380 78244639360 87046365184 94749367975 97805799200 108807956480 117489216289 121279191008 125191422976 136009945600 140397363200 151598988760 156489278720 174092730368 189498735950 195611598400 217615912960 234978432578 242558382016 250382845952 272019891200 303197977520 312978557440 378997471900 391223196800 435231825920 469956865156 485116764032 500765691904 544039782400 587446081445 606395955040 625957114880 757994943800 782446393600 870463651840 939913730312 970233528064 1001531383808 1088079564800 1174892162890 1212791910080 1251914229760 1515989887600 1564892787200 1879827460624 1940467056128 2003062767616 2176159129600 2349784325780 2425583820160 2503828459520 2937230407225 3031979775200 3129785574400 3759654921248 3880934112256 4352318259200 4699568651560 4851167640320 5007656919040 5874460814450 6063959550400 6259571148800 7519309842496 7761868224512 9399137303120 9702335280640 10015313838080 11748921628900 12127919100800 12519142297600 15038619684992 15523736449024 18798274606240 19404670561280 23497843257800 24255838201600 25038284595200 30077239369984 31047472898048 37596549212480 38809341122560 46995686515600 48511676403200 50076569190400 60154478739968 62094945796096 75193098424960 77618682245120 93991373031200 97023352806400 120308957479936 150386196849920 155237364490240 187982746062400 194046705612800 240617914959872 300772393699840 310474728980480 375965492124800 388093411225600 481235829919744 601544787399680 751930984249600 776186822451200 962471659839488 1203089574799360 1503861968499200 1552373644902400 1924943319678976 2406179149598720 3007723936998400 4812358299197440 6015447873996800 9624716598394880 12030895747993600 24061791495987200 48123582991974400
• Sum of all divisors σ(n): 123327952740982227
• Sum of proper divisors (its aliquot sum) s(n): 75204369749007827
• 48123582991974400 is an abundant number, because the sum of its proper divisors (75204369749007827) is greater than itself. Its abundance is 27080786757033427

Bases of 48123582991974400

• Binary: 10101010111110000010010011001101100011100100000000000000₂
• Hexadecimal: 0xAAF824CD8E4000
• Base-36: D5UDWTRBUV4

Squares and roots of 48123582991974400

• 48123582991974400 squared (48123582991974400²) is 2315879239985447744614810255360000
• 48123582991974400 cubed (48123582991974400³) is 111448406804830292901706414933887533694582784000000
• 48123582991974400 is a perfect square number. Its square root is 219370880
• The cube root of 48123582991974400 is 363735.7473852639

Scales and comparisons

• 48,123,582,991,974,400 seconds is equal to 1,530,181,083 years, 6 weeks, 4 days, 23 hours, 6 minutes, 40 seconds.
• To count from 1 to 48,123,582,991,974,400 would take you about four billion, five hundred ninety million, five hundred forty-three thousand, two hundred forty-nine 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 48123582991974400 cubic inches would be around 30311.3 feet tall.

Recreational maths with 48123582991974400

• 48123582991974400 backwards is 00447919928532184
• The number of decimal digits it has is: 17
• The sum of 48123582991974400's digits is 76
• More coming soon!