3948007949089920

Names of 3948007949089920

• Cardinal: 3948007949089920 can be written as Three quadrillion, nine hundred forty-eight trillion, seven billion, nine hundred forty-nine million, eighty-nine thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 3.94800794908992 × 10¹⁵

Factors of 3948007949089920

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 37751426

Divisors of 3948007949089920

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 6053 8640 12106 17280 18159 24212 30265 36318 48424 54477 60530 72636 90795 96848 108954 121060 145272 163431 181590 193696 217908 242120 272385 290544 326862 363180 387392 435816 484240 544770 581088 653724 726360 774784 817155 871632 968480 1089540 1162176 1307448 1452720 1634310 1743264 1936960 2179080 2324352 2614896 2905440 3268620 3486528 3873920 4358160 5229792 5810880 6537240 6973056 8716320 10459584 11621760 13074480 17432640 20919168 26148960 34865280 37745363 52297920 75490726 104595840 113236089 150981452 188726815 226472178 301962904 339708267 377453630 452944356 566180445 603925808 679416534 754907260 905888712 1019124801 1132360890 1207851616 1358833068 1509814520 1698541335 1811777424 2038249602 2264721780 2415703232 2717666136 3019629040 3397082670 3623554848 4076499204 4529443560 4831406464 5095624005 5435332272 6039258080 6794165340 7247109696 8152998408 9058887120 10191248010 10870664544 12078516160 13588330680 14494219392 16305996816 18117774240 20382496020 21741329088 24157032320 27176661360 32611993632 36235548480 40764992040 43482658176 54353322720 65223987264 72471096960 81529984080 108706645440 130447974528 163059968160 217413290880 228472682239 326119936320 456945364478 652239872640 685418046717 913890728956 1142363411195 1370836093434 1827781457912 2056254140151 2284726822390 2741672186868 3427090233585 3655562915824 4112508280302 4569453644780 5483344373736 6168762420453 6854180467170 7311125831648 8225016560604 9138907289560 10281270700755 10966688747472 12337524840906 13708360934340 14622251663296 16450033121208 18277814579120 20562541401510 21933377494944 24675049681812 27416721868680 29244503326592 30843812102265 32900066242416 36555629158240 41125082803020 43866754989888 49350099363624 54833443737360 61687624204530 65800132484832 73111258316480 82250165606040 87733509979776 98700198727248 109666887474720 123375248409060 131600264969664 146222516632960 164500331212080 197400397454496 219333774949440 246750496818120 263200529939328 329000662424160 394800794908992 438667549898880 493500993636240 658001324848320 789601589817984 987001987272480 1316002649696640 1974003974544960 3948007949089920
• Sum of all divisors σ(n): 13984838539747200
• Sum of proper divisors (its aliquot sum) s(n): 10036830590657280
• 3948007949089920 is an abundant number, because the sum of its proper divisors (10036830590657280) is greater than itself. Its abundance is 6088822641567360

Bases of 3948007949089920

• Binary: 1110000001101011000100111011011000000011110010000000₂
• Hexadecimal: 0xE06B13B603C80
• Base-36: 12VG9TACDC0

Squares and roots of 3948007949089920

• 3948007949089920 squared (3948007949089920²) is 15586766766077196350556245606400
• 3948007949089920 cubed (3948007949089920³) is 61536679093083356807235509721505542878527488000
• The square root of 3948007949089920 is 62833175.5451681751
• The cube root of 3948007949089920 is 158049.3349794663

Scales and comparisons

• 3,948,007,949,089,920 seconds is equal to 125,534,440 years, 41 weeks, 19 hours, 12 minutes.
• To count from 1 to 3,948,007,949,089,920 would take you about three hundred seventy-six million, six hundred three thousand, three hundred twenty-two 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 3948007949089920 cubic inches would be around 13170.8 feet tall.

Recreational maths with 3948007949089920

• 3948007949089920 backwards is 0299809497008493
• The number of decimal digits it has is: 16
• The sum of 3948007949089920's digits is 81
• More coming soon!