48138064480800

Names of 48138064480800

• Cardinal: 48138064480800 can be written as Forty-eight trillion, one hundred thirty-eight billion, sixty-four million, four hundred eighty thousand, eight hundred.

Scientific notation

• Scientific notation: 4.81380644808 × 10¹³

Factors of 48138064480800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 11698

Divisors of 48138064480800

• Number of divisors d(n): 486
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 70 72 75 80 84 90 96 98 100 105 112 120 126 140 144 147 150 160 168 175 180 196 200 210 224 225 240 245 252 280 288 294 300 315 336 350 360 392 400 420 441 450 480 490 504 525 560 588 600 630 672 700 720 735 784 800 840 882 900 980 1008 1050 1120 1176 1200 1225 1260 1400 1440 1470 1568 1575 1680 1764 1800 1960 2016 2100 2205 2352 2400 2450 2520 2800 2940 3150 3360 3528 3600 3675 3920 4200 4410 4704 4900 5040 5600 5880 6300 7056 7200 7350 7840 8400 8820 9800 10080 11025 11681 11760 12600 14112 14700 16800 17640 19600 22050 23362 23520 25200 29400 35043 35280 39200 44100 46724 50400 58405 58800 70086 70560 81767 88200 93448 105129 116810 117600 140172 163534 175215 176400 186896 210258 233620 245301 280344 292025 327068 350430 352800 373792 408835 420516 467240 490602 525645 560688 572369 584050 654136 700860 735903 817670 841032 876075 934480 981204 1051290 1121376 1144738 1168100 1226505 1308272 1401720 1471806 1635340 1682064 1717107 1752150 1868960 1962408 2044175 2102580 2289476 2336200 2453010 2616544 2628225 2803440 2861845 2943612 3270680 3364128 3434214 3504300 3679515 3924816 4088350 4205160 4578952 4672400 4906020 5151321 5256450 5606880 5723690 5887224 6132525 6541360 6868428 7008600 7359030 7849632 8176700 8410320 8585535 9157904 9344800 9812040 10302642 10512900 11447380 11774448 12265050 13082720 13736856 14017200 14309225 14718060 16353400 16820640 17171070 18315808 18397575 19624080 20605284 21025800 22894760 23548896 24530100 25756605 27473712 28034400 28618450 29436120 32706800 34342140 36795150 39248160 41210568 42051600 42927675 45789520 49060200 51513210 54947424 57236900 58872240 65413600 68684280 73590300 82421136 84103200 85855350 91579040 98120400 103026420 114473800 117744480 128783025 136445761 137368560 147180600 164842272 171710700 196240800 206052840 228947600 257566050 272891522 274737120 294361200 343421400 409337283 412105680 457895200 515132100 545783044 588722400 682228805 686842800 818674566 824211360 955120327 1030264200 1091566088 1228011849 1364457610 1373685600 1637349132 1910240654 2046686415 2060528400 2183132176 2456023698 2728915220 2865360981 3274698264 3411144025 3820481308 4093372830 4121056800 4366264352 4775601635 4912047396 5457830440 5730721962 6140059245 6549396528 6685842289 6822288050 7640962616 8186745660 8596082943 9551203270 9824094792 10233432075 10915660880 11461443924 12280118490 13098793056 13371684578 13644576100 14326804905 15281925232 16373491320 17192165886 19102406540 19648189584 20057526867 20466864150 21831321760 22922887848 23878008175 24560236980 26743369156 27289152200 28653609810 30563850464 30700296225 32746982640 33429211445 34384331772 38204813080 39296379168 40115053734 40933728300 42980414715 45845775696 47756016350 49120473960 53486738312 54578304400 57307219620 60172580601 61400592450 65493965280 66858422890 68768663544 71634024525 76409626160 80230107468 81867456600 85960829430 91691551392 95512032700 98240947920 100287634335 106973476624 109156608800 114614439240 120345161202 122801184900 133716845780 137537327088 143268049050 152819252320 160460214936 163734913200 167146057225 171921658860 191024065400 196481895840 200575268670 213946953248 214902073575 229228878480 240690322404 245602369800 267433691560 275074654176 286536098100 300862903005 320920429872 327469826400 334292114450 343843317720 382048130800 401150537340 429804147150 458457756960 481380644808 491204739600 501438171675 534867383120 573072196200 601725806010 641840859744 668584228900 687686635440 764096261600 802301074680 859608294300 962761289616 982409479200 1002876343350 1069734766240 1146144392400 1203451612020 1337168457800 1375373270880 1504314515025 1604602149360 1719216588600 1925522579232 2005752686700 2292288784800 2406903224040 2674336915600 3008629030050 3209204298720 3438433177200 4011505373400 4813806448080 5348673831200 6017258060100 6876866354400 8023010746800 9627612896160 12034516120200 16046021493600 24069032240400 48138064480800
• Sum of all divisors σ(n): 197477527158639
• Sum of proper divisors (its aliquot sum) s(n): 149339462677839
• 48138064480800 is an abundant number, because the sum of its proper divisors (149339462677839) is greater than itself. Its abundance is 101201398197039

Bases of 48138064480800

• Binary: 1010111100100000000100001110111100101000100000₂
• Hexadecimal: 0x2BC8043BCA20
• Base-36: H2ABKPC80

Squares and roots of 48138064480800

• 48138064480800 squared (48138064480800²) is 2317273251957658573568640000
• 48138064480800 cubed (48138064480800³) is 111549049222370873245838142884762112000000
• The square root of 48138064480800 is 6938160.0212736517
• The cube root of 48138064480800 is 36377.2229199779

Scales and comparisons

• 48,138,064,480,800 seconds is equal to 1,530,641 years, 28 weeks, 4 days, 2 hours.
• To count from 1 to 48,138,064,480,800 would take you about three million, eight hundred twenty-six thousand, six hundred three 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 48138064480800 cubic inches would be around 3031.4 feet tall.

Recreational maths with 48138064480800

• 48138064480800 backwards is 00808446083184
• The number of decimal digits it has is: 14
• The sum of 48138064480800's digits is 54
• More coming soon!