47468408832

Names of 47468408832

• Cardinal: 47468408832 can be written as Forty-seven billion, four hundred sixty-eight million, four hundred eight thousand, eight hundred thirty-two.

Scientific notation

• Scientific notation: 4.7468408832 × 10¹⁰

Factors of 47468408832

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 396

Divisors of 47468408832

• Number of divisors d(n): 416
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 137 144 156 192 208 216 234 241 256 274 288 312 351 384 411 416 432 468 482 512 548 576 624 702 723 768 822 832 864 936 964 1024 1096 1152 1233 1248 1404 1446 1536 1644 1664 1728 1781 1872 1928 2048 2169 2192 2304 2466 2496 2808 2892 3072 3133 3288 3328 3456 3562 3699 3744 3856 4096 4338 4384 4608 4932 4992 5343 5616 5784 6144 6266 6507 6576 6656 6912 7124 7398 7488 7712 8676 8768 9216 9399 9864 9984 10686 11232 11568 12288 12532 13014 13152 13312 13824 14248 14796 14976 15424 16029 17352 17536 18432 18798 19728 19968 21372 22464 23136 25064 26028 26304 26624 27648 28197 28496 29592 29952 30848 32058 33017 34704 35072 36864 37596 39456 39936 42744 44928 46272 48087 50128 52056 52608 53248 55296 56394 56992 59184 59904 61696 64116 66034 69408 70144 75192 78912 79872 84591 85488 89856 92544 96174 99051 100256 104112 105216 110592 112788 113984 118368 119808 123392 128232 132068 138816 140288 150384 157824 159744 169182 170976 179712 185088 192348 198102 200512 208224 210432 225576 227968 236736 239616 246784 256464 264136 277632 280576 297153 300768 315648 338364 341952 359424 370176 384696 396204 401024 416448 420864 429221 451152 455936 473472 479232 493568 512928 528272 555264 561152 594306 601536 631296 676728 683904 718848 740352 769392 792408 802048 832896 841728 858442 891459 902304 911872 946944 987136 1025856 1056544 1110528 1188612 1203072 1262592 1287663 1353456 1367808 1437696 1480704 1538784 1584816 1604096 1665792 1683456 1716884 1782918 1804608 1823744 1893888 2051712 2113088 2221056 2377224 2406144 2525184 2575326 2706912 2735616 2961408 3077568 3169632 3208192 3331584 3433768 3565836 3609216 3647488 3787776 3862989 4103424 4226176 4442112 4754448 4812288 5050368 5150652 5413824 5471232 6155136 6339264 6416384 6663168 6867536 7131672 7218432 7294976 7575552 7725978 8206848 8452352 8884224 9508896 9624576 10301304 10827648 10942464 11588967 12310272 12678528 12832768 13326336 13735072 14263344 14436864 15151104 15451956 16413696 16904704 19017792 19249152 20602608 21655296 21884928 23177934 24620544 25357056 26652672 27470144 28526688 28873728 30903912 32827392 33809408 38035584 38498304 41205216 43310592 46355868 49241088 50714112 54940288 57053376 57747456 61807824 65654784 67618816 76071168 82410432 86621184 92711736 98482176 101428224 109880576 114106752 115494912 123615648 135237632 152142336 164820864 173242368 185423472 196964352 202856448 219761152 228213504 247231296 304284672 329641728 346484736 370846944 405712896 439522304 456427008 494462592 608569344 659283456 741693888 879044608 912854016 988925184 1217138688 1318566912 1483387776 1758089216 1825708032 1977850368 2637133824 2966775552 3651416064 3955700736 5274267648 5933551104 7911401472 11867102208 15822802944 23734204416 47468408832
• Sum of all divisors σ(n): 153186116160
• Sum of proper divisors (its aliquot sum) s(n): 105717707328
• 47468408832 is an abundant number, because the sum of its proper divisors (105717707328) is greater than itself. Its abundance is 58249298496

Bases of 47468408832

• Binary: 101100001101010101100111000000000000₂
• Hexadecimal: 0xB0D567000
• Base-36: LT1GQO0

Squares and roots of 47468408832

• 47468408832 squared (47468408832²) is 2253249837041895604224
• 47468408832 cubed (47468408832³) is 106958184465342078053568498106368
• The square root of 47468408832 is 217872.4600127331
• The cube root of 47468408832 is 3620.7751672703

Scales and comparisons

• 47,468,408,832 seconds is equal to 1,509 years, 18 weeks, 21 hours, 7 minutes, 12 seconds.
• To count from 1 to 47,468,408,832 would take you about three thousand and eighteen 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 47468408832 cubic inches would be around 301.7 feet tall.

Recreational maths with 47468408832

• 47468408832 backwards is 23880486474
• 47468408832 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 47468408832's digits is 54
• More coming soon!