3997008808381248
3,997,008,808,381,248 is an even composite number composed of five prime numbers multiplied together.
What does the number 3997008808381248 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 336 divisors.
3997008808381248 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 3997008808381248:
26 × 3 × 11 × 2112 × 3493
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 211 × 211 × 349 × 349 × 349)See below for interesting mathematical facts about the number 3997008808381248 from the Numbermatics database.
Names of 3997008808381248
- Cardinal: 3997008808381248 can be written as Three quadrillion, nine hundred ninety-seven trillion, eight billion, eight hundred eight million, three hundred eighty-one thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 3.997008808381248 × 1015
Factors of 3997008808381248
Divisors of 3997008808381248
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 211 264 349 352 422 528 633 698 704 844 1047 1056 1266 1396 1688 2094 2112 2321 2532 2792 3376 3839 4188 4642 5064 5584 6752 6963 7678 8376 9284 10128 11168 11517 13504 13926 15356 16752 18568 20256 22336 23034 27852 30712 33504 37136 40512 44521 46068 55704 61424 67008 73639 74272 89042 92136 111408 121801 122848 133563 147278 148544 178084 184272 220917 222816 243602 245696 267126 294556 356168 365403 368544 441834 445632 487204 489731 534252 589112 712336 730806 737088 810029 883668 974408 979462 1068504 1178224 1339811 1424672 1461612 1469193 1620058 1767336 1948816 1958924 2137008 2356448 2430087 2679622 2849344 2923224 2938386 3240116 3534672 3897632 3917848 4019433 4274016 4712896 4860174 5359244 5846448 5876772 6480232 7069344 7795264 7835696 8038866 8548032 9720348 10718488 11692896 11753544 12960464 14138688 15537829 15671392 16077732 19440696 21436976 23385792 23507088 25700011 25920928 31075658 31342784 32155464 38881392 42508549 42873952 46613487 47014176 51400022 51841856 62151316 64310928 77100033 77762784 85017098 85747904 93226974 94028352 102800044 124302632 127525647 128621856 154200066 155525568 170034196 170916119 186453948 205600088 248605264 255051294 257243712 282700121 308400132 340068392 341832238 372907896 411200176 467594039 497210528 510102588 512748357 565400242 616800264 680136784 683664476 745815792 822400352 848100363 935188078 994421056 1020205176 1025496714 1130800484 1233600528 1360273568 1367328952 1402782117 1491631584 1644800704 1696200726 1870376156 2040410352 2050993428 2261600968 2467201056 2720547136 2734657904 2805564234 2983263168 3392401452 3740752312 4080820704 4101986856 4523201936 4934402112 5422702321 5469315808 5611128468 6784802904 7481504624 8161641408 8203973712 8969303839 9046403872 10845404642 10938631616 11222256936 13569605808 14963009248 16268106963 16407947424 17938607678 18092807744 21690809284 22444513872 26907911517 27139211616 29926018496 32536213926 32815894848 35877215356 43381618568 44889027744 53815823034 54278423232 59649725531 65072427852 71754430712 86763237136 89778055488 98662342229 107631646068 119299451062 130144855704 143508861424 173526474272 178949176593 197324684458 215263292136 238598902124 260289711408 287017722848 295987026687 347052948544 357898353186 394649368916 430526584272 477197804248 520579422816 574035445696 591974053374 715796706372 789298737832 861053168544 954395608496 1041158845632 1183948106748 1431593412744 1578597475664 1722106337088 1892523110029 1908791216992 2367896213496 2863186825488 3157194951328 3785046220058 3817582433984 4735792426992 5677569330087 5726373650976 6314389902656 7570092440116 9471584853984 11355138660174 11452747301952 15140184880232 18943169707968 20817754210319 22710277320348 30280369760464 41635508420638 45420554640696 60560739520928 62453262630957 83271016841276 90841109281392 121121479041856 124906525261914 166542033682552 181682218562784 249813050523828 333084067365104 363364437125568 499626101047656 666168134730208 999252202095312 1332336269460416 1998504404190624 3997008808381248
- Sum of all divisors σ(n): 11625066532497600
- Sum of proper divisors (its aliquot sum) s(n): 7628057724116352
- 3997008808381248 is an abundant number, because the sum of its proper divisors (7628057724116352) is greater than itself. Its abundance is 3631048915735104
Bases of 3997008808381248
- Binary: 11100011001101000010001000100011000000001011010000002
- Hexadecimal: 0xE334222300B40
- Base-36: 13CTKHWSU2O
Squares and roots of 3997008808381248
- 3997008808381248 squared (39970088083812482) is 15976079414277284092210118037504
- 3997008808381248 cubed (39970088083812483) is 63856530142264633795416511988210085416794324992
-
The
square root of 3997008808381248 is 63221901.3347530383 -
The
cube root of 3997008808381248 is 158700.5268236197
Scales and comparisons
How big is 3997008808381248?- 3,997,008,808,381,248 seconds is equal to 127,092,516 years, 28 weeks, 2 days, 22 hours, 20 minutes, 48 seconds.
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To count from 1 to 3,997,008,808,381,248 would take you about three hundred eighty-one million, two hundred seventy-seven thousand, five 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 3997008808381248 cubic inches would be around 13225 feet tall.
Recreational maths with 3997008808381248
- 3997008808381248 backwards is 8421838088007993
- The number of decimal digits it has is: 16
- The sum of 3997008808381248's digits is 78
- More coming soon!
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