40221408864
40,221,408,864 is an even composite number composed of seven prime numbers multiplied together.
40221408864 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 40221408864:
25 × 3 × 7 × 13 × 19 × 443 × 547
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 19 × 443 × 547)See below for interesting mathematical facts about the number 40221408864 from the Numbermatics database.
Names of 40221408864
- Cardinal: 40221408864 can be written as Forty billion, two hundred twenty-one million, four hundred eight thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 4.0221408864 × 1010
Factors of 40221408864
Divisors of 40221408864
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 32 38 39 42 48 52 56 57 76 78 84 91 96 104 112 114 133 152 156 168 182 208 224 228 247 266 273 304 312 336 364 399 416 443 456 494 532 546 547 608 624 672 728 741 798 886 912 988 1064 1092 1094 1248 1329 1456 1482 1596 1641 1729 1772 1824 1976 2128 2184 2188 2658 2912 2964 3101 3192 3282 3458 3544 3829 3952 4256 4368 4376 5187 5316 5759 5928 6202 6384 6564 6916 7088 7111 7658 7904 8417 8736 8752 9303 10374 10393 10632 11487 11518 11856 12404 12768 13128 13832 14176 14222 15316 16834 17277 17504 18606 20748 20786 21264 21333 22974 23036 23712 24808 25251 26256 27664 28444 30632 31179 33668 34554 37212 40313 41496 41572 42528 42666 45948 46072 49616 49777 50502 52512 55328 56888 58919 61264 62358 67336 69108 72751 74424 80626 82992 83144 85332 91896 92144 99232 99554 101004 109421 113776 117838 120939 122528 124716 134672 135109 138216 145502 148848 149331 161252 165984 166288 170664 176757 183792 184288 199108 202008 218253 218842 227552 235676 241878 242321 249432 269344 270218 276432 291004 297696 298662 322504 328263 332576 341328 353514 367584 398216 404016 405327 436506 437684 471352 483756 484642 498864 540436 552864 582008 597324 645008 656526 682656 707028 726963 765947 796432 808032 810654 873012 875368 942704 945763 967512 969284 997728 1080872 1164016 1194648 1290016 1313052 1414056 1453926 1531894 1592864 1621308 1696247 1746024 1750736 1885408 1891526 1935024 1938568 2161744 2297841 2328032 2389296 2626104 2828112 2837289 2907852 3063788 3150173 3242616 3392494 3492048 3501472 3783052 3870048 3877136 4323488 4595682 4604099 4778592 5088741 5252208 5656224 5674578 5815704 6127576 6300346 6485232 6784988 6984096 7566104 7754272 9191364 9208198 9450519 10177482 10504416 11349156 11631408 12255152 12600692 12970464 13569976 13812297 15132208 18382728 18416396 18901038 20354964 22051211 22698312 23262816 24510304 25201384 27139952 27624594 30264416 32228693 36765456 36832792 37802076 40709928 44102422 45396624 50402768 54279904 55249188 59853287 64457386 66153633 73530912 73665584 75604152 81419856 88204844 90793248 96686079 100805536 110498376 119706574 128914772 132307266 147331168 151208304 162839712 176409688 179559861 193372158 220996752 239413148 257829544 264614532 302416608 352819376 359119722 386744316 418973009 441993504 478826296 515659088 529229064 705638752 718239444 773488632 837946018 957652592 1031318176 1058458128 1256919027 1436478888 1546977264 1675892036 1915305184 2116916256 2513838054 2872957776 3093954528 3351784072 5027676108 5745915552 6703568144 10055352216 13407136288 20110704432 40221408864
- Sum of all divisors σ(n): 137344757760
- Sum of proper divisors (its aliquot sum) s(n): 97123348896
- 40221408864 is an abundant number, because the sum of its proper divisors (97123348896) is greater than itself. Its abundance is 56901940032
Bases of 40221408864
- Binary: 1001010111010110000111111110011000002
- Hexadecimal: 0x95D61FE60
- Base-36: IH6SDPC
Squares and roots of 40221408864
- 40221408864 squared (402214088642) is 1617761731005057770496
- 40221408864 cubed (402214088643) is 65068656027286814239059892076544
-
The
square root of 40221408864 is 200552.7583056389 -
The
cube root of 40221408864 is 3426.2503503537
Scales and comparisons
How big is 40221408864?- 40,221,408,864 seconds is equal to 1,278 years, 47 weeks, 4 days, 13 hours, 34 minutes, 24 seconds.
-
To count from 1 to 40,221,408,864 would take you about two thousand, five hundred fifty-seven 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 40221408864 cubic inches would be around 285.5 feet tall.
Recreational maths with 40221408864
- 40221408864 backwards is 46880412204
- 40221408864 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 40221408864's digits is 39
- More coming soon!
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