450738957132380800
450,738,957,132,380,800 is an even composite number composed of six prime numbers multiplied together.
450738957132380800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 450738957132380800:
27 × 52 × 13 × 797 × 55849 × 243421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 797 × 55849 × 243421)See below for interesting mathematical facts about the number 450738957132380800 from the Numbermatics database.
Names of 450738957132380800
- Cardinal: 450738957132380800 can be written as Four hundred fifty quadrillion, seven hundred thirty-eight trillion, nine hundred fifty-seven billion, one hundred thirty-two million, three hundred eighty thousand, eight hundred.
Scientific notation
- Scientific notation: 4.507389571323808 × 1017
Factors of 450738957132380800
Divisors of 450738957132380800
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 260 320 325 400 416 520 640 650 797 800 832 1040 1300 1594 1600 1664 2080 2600 3188 3200 3985 4160 5200 6376 7970 8320 10361 10400 12752 15940 19925 20722 20800 25504 31880 39850 41444 41600 51008 51805 55849 63760 79700 82888 102016 103610 111698 127520 159400 165776 207220 223396 243421 255040 259025 279245 318800 331552 414440 446792 486842 510080 518050 558490 637600 663104 726037 828880 893584 973684 1036100 1116980 1217105 1275200 1326208 1396225 1452074 1657760 1787168 1947368 2072200 2233960 2434210 2550400 2792450 2904148 3164473 3315520 3574336 3630185 3894736 4144400 4467920 4868420 5584900 5808296 6085525 6328946 6631040 7148672 7260370 7789472 8288800 8935840 9736840 11169800 11616592 12171050 12657892 14520740 15578944 15822365 16577600 17871680 18150925 19473680 22339600 23233184 24342100 25315784 29041480 31157888 31644730 33155200 35743360 36301850 38947360 44511653 44679200 46466368 48684200 50631568 58082960 63289460 72603700 77894720 79111825 89023306 89358400 92932736 97368400 101263136 116165920 126578920 145207400 155789440 158223650 178046612 178716800 194006537 194736800 202526272 222558265 232331840 253157840 290414800 316447300 356093224 388013074 389473600 405052544 445116530 464663680 506315680 578651489 580829600 632894600 712186448 776026148 778947200 890233060 970032685 1012631360 1112791325 1157302978 1161659200 1265789200 1424372896 1552052296 1780466120 1940065370 2025262720 2225582650 2314605956 2323318400 2522084981 2531578400 2848745792 2893257445 3104104592 3560932240 3880130740 4451165300 4629211912 4850163425 5044169962 5063156800 5697491584 5786514890 6208209184 7121864480 7760261480 8902330600 9258423824 9700326850 10088339924 10126313600 11573029780 12416418368 12610424905 13594819429 14243728960 14466287225 15520522960 17804661200 18516847648 19400653700 20176679848 23146059560 24832836736 25220849810 27189638858 28487457920 28932574450 31041045920 35609322400 37033695296 38801307400 40353359696 46292119120 50441699620 54379277716 57865148900 62082091840 63052124525 67974097145 71218644800 74067390592 77602614800 80706719392 92584238240 100883399240 108758555432 115730297800 124164183680 126104249050 135948194290 142437289600 155205229600 161413438784 176732652577 185168476480 201766798480 217517110864 231460595600 252208498100 271896388580 310410459200 322826877568 339870485725 353465305154 370336952960 403533596960 435034221728 462921191200 504416996200 543792777160 620820918400 679740971450 706930610308 807067193920 870068443456 883663262885 925842382400 1008833992400 1087585554320 1359481942900 1413861220616 1614134387840 1740136886912 1767326525770 1851684764800 2017667984800 2175171108640 2718963885800 2827722441232 3534653051540 4035335969600 4350342217280 4418316314425 5437927771600 5655444882464 7069306103080 8070671939200 8700684434560 8836632628850 10835071084913 10875855543200 11310889764928 14138612206160 17673265257700 21670142169826 21751711086400 22621779529856 28277224412320 35346530515400 43340284339652 43503422172800 54175355424565 56554448824640 70693061030800 86680568679304 108350710849130 113108897649280 140855924103869 141386122061600 173361137358608 216701421698260 270876777122825 281711848207738 282772244123200 346722274717216 433402843396520 541753554245650 563423696415476 565544488246400 693444549434432 704279620519345 866805686793040 1083507108491300 1126847392830952 1386889098868864 1408559241038690 1733611373586080 2167014216982600 2253694785661904 2817118482077380 3467222747172160 3521398102596725 4334028433965200 4507389571323808 5634236964154760 6934445494344320 7042796205193450 8668056867930400 9014779142647616 11268473928309520 14085592410386900 17336113735860800 18029558285295232 22536947856619040 28171184820773800 34672227471721600 45073895713238080 56342369641547600 90147791426476160 112684739283095200 225369478566190400 450738957132380800
- Sum of all divisors σ(n): 1200648285650142000
- Sum of proper divisors (its aliquot sum) s(n): 749909328517761200
- 450738957132380800 is an abundant number, because the sum of its proper divisors (749909328517761200) is greater than itself. Its abundance is 299170371385380400
Bases of 450738957132380800
- Binary: 110010000010101100010110001100000100100111000111010100000002
- Hexadecimal: 0x64158B1824E3A80
- Base-36: 3FA5MIBHMA9S
Squares and roots of 450738957132380800
- 450738957132380800 squared (4507389571323808002) is 203165607476786216455175876208640000
- 450738957132380800 cubed (4507389571323808003) is 91574654039253246567245152457152854621680730112000000
-
The
square root of 450738957132380800 is 671370953.4470349723 -
The
cube root of 450738957132380800 is 766728.6621275029
Scales and comparisons
How big is 450738957132380800?- 450,738,957,132,380,800 seconds is equal to 14,332,104,609 years, 35 weeks, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 450,738,957,132,380,800 would take you about forty-two billion, nine hundred ninety-six million, three hundred thirteen thousand, eight hundred twenty-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 450738957132380800 cubic inches would be around 63894.1 feet tall.
Recreational maths with 450738957132380800
- 450738957132380800 backwards is 008083231759837054
- The number of decimal digits it has is: 18
- The sum of 450738957132380800's digits is 73
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 450738957132380800 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
APA style:
Numbermatics. (2024). Number 450738957132380800 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/450738957132380800/
Chicago style:
Numbermatics. 2024. "Number 450738957132380800 - Facts about the integer". https://numbermatics.com/n/450738957132380800/
The information we have on file for 450738957132380800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 450738957132380800, math, Factors of 450738957132380800, curriculum, school, college, exams, university, Prime factorization of 450738957132380800, STEM, science, technology, engineering, physics, economics, calculator, four hundred fifty quadrillion, seven hundred thirty-eight trillion, nine hundred fifty-seven billion, one hundred thirty-two million, three hundred eighty thousand, eight hundred.