40047438144
40,047,438,144 is an even composite number composed of five prime numbers multiplied together.
40047438144 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 40047438144:
26 × 3 × 72 × 41 × 473
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 41 × 47 × 47 × 47)See below for interesting mathematical facts about the number 40047438144 from the Numbermatics database.
Names of 40047438144
- Cardinal: 40047438144 can be written as Forty billion, forty-seven million, four hundred thirty-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.0047438144 × 1010
Factors of 40047438144
Divisors of 40047438144
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 47 48 49 56 64 82 84 94 96 98 112 123 141 147 164 168 188 192 196 224 246 282 287 294 328 329 336 376 392 448 492 564 574 588 656 658 672 752 784 861 984 987 1128 1148 1176 1312 1316 1344 1504 1568 1722 1927 1968 1974 2009 2209 2256 2296 2303 2352 2624 2632 3008 3136 3444 3854 3936 3948 4018 4418 4512 4592 4606 4704 5264 5781 6027 6627 6888 6909 7708 7872 7896 8036 8836 9024 9184 9212 9408 10528 11562 12054 13254 13489 13776 13818 15416 15463 15792 16072 17672 18368 18424 21056 23124 24108 26508 26978 27552 27636 30832 30926 31584 32144 35344 36848 40467 46248 46389 48216 53016 53956 55104 55272 61664 61852 63168 64288 70688 73696 80934 90569 92496 92778 94423 96432 103823 106032 107912 108241 110544 123328 123704 128576 141376 147392 161868 181138 184992 185556 188846 192864 207646 212064 215824 216482 221088 247408 271707 283269 311469 323736 324723 362276 369984 371112 377692 385728 415292 424128 431648 432964 442176 494816 543414 566538 622938 633983 647472 649446 724552 726761 742224 755384 830584 863296 865928 989632 1086828 1133076 1245876 1267966 1294944 1298892 1449104 1453522 1484448 1510768 1661168 1731856 1901949 2173656 2180283 2266152 2491752 2535932 2589888 2597784 2898208 2907044 2968896 3021536 3322336 3463712 3803898 4256743 4347312 4360566 4437881 4532304 4983504 5071864 5087327 5195568 5796416 5814088 6043072 6644672 6927424 7607796 8513486 8694624 8721132 8875762 9064608 9967008 10143728 10174654 10391136 11628176 12770229 13313643 15215592 15261981 17026972 17389248 17442264 17751524 18129216 19934016 20287456 20349308 20782272 23256352 25540458 26627286 29797201 30431184 30523962 34053944 34884528 35503048 40574912 40698616 46512704 51080916 53254572 59594402 60862368 61047924 68107888 69769056 71006096 81397232 89391603 102161832 106509144 119188804 121724736 122095848 136215776 139538112 142012192 162794464 178783206 204323664 208580407 213018288 238377608 244191696 272431552 284024384 325588928 357566412 408647328 417160814 426036576 476755216 488383392 625741221 715132824 817294656 834321628 852073152 953510432 976766784 1251482442 1430265648 1668643256 1907020864 2502964884 2860531296 3337286512 5005929768 5721062592 6674573024 10011859536 13349146048 20023719072 40047438144
- Sum of all divisors σ(n): 129009404160
- Sum of proper divisors (its aliquot sum) s(n): 88961966016
- 40047438144 is an abundant number, because the sum of its proper divisors (88961966016) is greater than itself. Its abundance is 48914527872
Bases of 40047438144
- Binary: 1001010100110000001101101001010000002
- Hexadecimal: 0x953036940
- Base-36: IEB7L1C
Squares and roots of 40047438144
- 40047438144 squared (400474381442) is 1603797301897506164736
- 40047438144 cubed (400474381443) is 64227973243254471960123634089984
-
The
square root of 40047438144 is 200118.5602186863 -
The
cube root of 40047438144 is 3421.3033273347
Scales and comparisons
How big is 40047438144?- 40,047,438,144 seconds is equal to 1,273 years, 20 weeks, 22 minutes, 24 seconds.
-
To count from 1 to 40,047,438,144 would take you about two thousand, five hundred forty-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 40047438144 cubic inches would be around 285.1 feet tall.
Recreational maths with 40047438144
- 40047438144 backwards is 44183474004
- The number of decimal digits it has is: 11
- The sum of 40047438144's digits is 39
- More coming soon!
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