48763948406400

Names of 48763948406400

• Cardinal: 48763948406400 can be written as Forty-eight trillion, seven hundred sixty-three billion, nine hundred forty-eight million, four hundred six thousand, four hundred.

Scientific notation

• Scientific notation: 4.87639484064 × 10¹³

Factors of 48763948406400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 201

Divisors of 48763948406400

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 128 135 144 150 160 162 180 191 192 200 216 225 240 243 270 288 300 320 324 360 382 384 400 405 432 450 480 486 540 573 576 600 640 648 675 720 729 764 800 810 864 900 955 960 972 1080 1146 1152 1200 1215 1296 1350 1440 1458 1528 1600 1620 1719 1728 1800 1910 1920 1944 2025 2160 2187 2292 2400 2430 2592 2700 2865 2880 2916 3056 3200 3240 3438 3456 3600 3645 3820 3888 4050 4320 4374 4584 4775 4800 4860 5157 5184 5400 5730 5760 5832 6075 6112 6480 6876 7200 7290 7640 7776 8100 8595 8640 8748 9168 9550 9600 9720 10314 10368 10800 10935 11460 11664 12150 12224 12960 13752 14325 14400 14580 15280 15471 15552 16200 17190 17280 17496 18225 18336 19100 19440 20628 21600 21870 22920 23328 24300 24448 25785 25920 27504 28650 28800 29160 30560 30942 31104 32400 34380 34992 36450 36481 36672 38200 38880 41256 42975 43200 43740 45840 46413 46656 48600 51570 51840 54675 55008 57300 58320 61120 61884 64800 68760 69984 72900 72962 73344 76400 77355 77760 82512 85950 86400 87480 91680 92826 93312 97200 103140 109350 109443 110016 114600 116640 122240 123768 128925 129600 137520 139239 139968 145800 145924 152800 154710 155520 165024 171900 174960 182405 183360 185652 194400 206280 218700 218886 220032 229200 232065 233280 247536 257850 259200 275040 278478 279936 291600 291848 305600 309420 328329 330048 343800 349920 364810 366720 371304 386775 388800 412560 417717 437400 437772 458400 464130 466560 495072 515700 547215 550080 556956 583200 583696 611200 618840 656658 660096 687600 696195 699840 729620 742608 773550 777600 825120 835434 874800 875544 912025 916800 928260 984987 990144 1031400 1094430 1100160 1113912 1160325 1166400 1167392 1237680 1313316 1375200 1392390 1399680 1459240 1485216 1547100 1641645 1650240 1670868 1749600 1751088 1824050 1833600 1856520 1969974 1980288 2062800 2088585 2188860 2227824 2320650 2332800 2334784 2475360 2626632 2736075 2750400 2784780 2918480 2954961 2970432 3094200 3283290 3300480 3341736 3480975 3499200 3502176 3648100 3713040 3939948 4125600 4177170 4377720 4455648 4641300 4669568 4924935 4950720 5253264 5472150 5500800 5569560 5836960 5909922 5940864 6188400 6566580 6683472 6961950 6967871 6998400 7004352 7296200 7426080 7879896 8208225 8251200 8354340 8755440 8864883 8911296 9282600 9849870 9901440 10442925 10506528 10944300 11139120 11673920 11819844 12376800 13133160 13366944 13923900 13935742 14008704 14592400 14774805 14852160 15759792 16416450 16502400 16708680 17510880 17729766 17822592 18565200 19699740 20885850 20903613 21013056 21888600 22278240 23347840 23639688 24624675 24753600 26266320 26594649 26733888 27847800 27871484 29184800 29549610 29704320 31519584 32832900 33417360 34839355 35021760 35459532 37130400 39399480 41771700 41807226 42026112 43777200 44324415 44556480 47279376 49249350 49507200 52532640 53189298 53467776 55695600 55742968 58369600 59099220 62710839 63039168 65665800 66834720 69678710 70043520 70919064 73874025 74260800 78798960 79783947 83543400 83614452 87554400 88648830 89112960 94558752 98498700 104518065 105065280 106378596 111391200 111485936 116739200 118198440 125421678 126078336 131331600 132973245 133669440 139357420 141838128 147748050 148521600 157597920 159567894 167086800 167228904 174196775 175108800 177297660 188132517 189117504 196997400 209036130 210130560 212757192 221622075 222782400 222971872 236396880 250843356 262663200 265946490 267338880 278714840 283676256 295496100 313554195 315195840 319135788 334173600 334457808 348393550 350217600 354595320 376265034 378235008 393994800 398919735 418072260 425514384 443244150 445564800 445943744 472793760 501686712 522590325 525326400 531892980 557429680 564397551 567352512 590992200 627108390 630391680 638271576 664866225 668347200 668915616 696787100 709190640 752530068 787989600 797839470 836144520 851028768 886488300 891887488 940662585 945587520 1003373424 1045180650 1050652800 1063785960 1114859360 1128795102 1134705024 1181984400 1254216780 1276543152 1329732450 1336694400 1337831232 1393574200 1418381280 1505060136 1567770975 1575979200 1595678940 1672289040 1693192653 1702057536 1772976600 1881325170 1891175040 1994598675 2006746848 2090361300 2127571920 2229718720 2257590204 2363968800 2508433560 2553086304 2659464900 2675662464 2787148400 2821987755 2836762560 3010120272 3135541950 3151958400 3191357880 3344578080 3386385306 3404115072 3545953200 3762650340 3989197350 4013493696 4180722600 4255143840 4459437440 4515180408 4703312925 4727937600 5016867120 5079577959 5106172608 5318929800 5574296800 5643975510 5673525120 6020240544 6271083900 6382715760 6689156160 6772770612 7091906400 7525300680 7978394700 8026987392 8361445200 8465963265 8510287680 9030360816 9406625850 9455875200 10033734240 10159155918 10212345216 10637859600 11148593600 11287951020 12040481088 12542167800 12765431520 13378312320 13545541224 14109938775 14183812800 15050601360 15238733877 15956789400 16722890400 16931926530 17020575360 18060721632 18813251700 20067468480 20318311836 21275719200 22297187200 22575902040 24080962176 25084335600 25397889795 25530863040 27091082448 28219877550 28367625600 30101202720 30477467754 31913578800 33445780800 33863853060 36121443264 37626503400 40134936960 40636623672 42329816325 42551438400 45151804080 50168671200 50795779590 51061726080 54182164896 56439755100 60202405440 60954935508 63827157600 66891561600 67727706120 72242886528 75253006800 76193669385 81273247344 84659632650 85102876800 90303608160 100337342400 101591559180 108364329792 112879510200 120404810880 121909871016 126989448975 127654315200 135455412240 150506013600 152387338770 162546494688 169319265300 180607216320 200674684800 203183118360 216728659584 225759020400 243819742032 253978897950 255308630400 270910824480 301012027200 304774677540 325092989376 338638530600 361214432640 380968346925 406366236720 451518040800 487639484064 507957795900 541821648960 602024054400 609549355080 650185978752 677277061200 761936693850 812732473440 903036081600 975278968128 1015915591800 1083643297920 1219098710160 1354554122400 1523873387700 1625464946880 1806072163200 1950557936256 2031831183600 2438197420320 2709108244800 3047746775400 3250929893760 4063662367200 4876394840640 5418216489600 6095493550800 8127324734400 9752789681280 12190987101600 16254649468800 24381974203200 48763948406400
• Sum of all divisors σ(n): 181616618649600
• Sum of proper divisors (its aliquot sum) s(n): 132852670243200
• 48763948406400 is an abundant number, because the sum of its proper divisors (132852670243200) is greater than itself. Its abundance is 84088721836800

Bases of 48763948406400

• Binary: 1011000101100110111101110100101001011010000000₂
• Hexadecimal: 0x2C59BDD29680
• Base-36: HA9UJU000

Squares and roots of 48763948406400

• 48763948406400 squared (48763948406400²) is 2377922664182041099560960000
• 48763948406400 cubed (48763948406400³) is 115956898110582285436434979131654144000000
• The square root of 48763948406400 is 6983118.8165747259
• The cube root of 48763948406400 is 36534.2016084981

Scales and comparisons

• 48,763,948,406,400 seconds is equal to 1,550,542 years, 37 weeks, 4 days.
• To count from 1 to 48,763,948,406,400 would take you about three million, eight hundred seventy-six thousand, three hundred fifty-six 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 48763948406400 cubic inches would be around 3044.5 feet tall.

Recreational maths with 48763948406400

• 48763948406400 backwards is 00460484936784
• The number of decimal digits it has is: 14
• The sum of 48763948406400's digits is 63
• More coming soon!