72315175228128
72,315,175,228,128 is an even composite number composed of six prime numbers multiplied together.
What does the number 72315175228128 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
72315175228128 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 72315175228128:
25 × 37 × 7 × 19 × 307 × 25307
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 19 × 307 × 25307)See below for interesting mathematical facts about the number 72315175228128 from the Numbermatics database.
Names of 72315175228128
- Cardinal: 72315175228128 can be written as Seventy-two trillion, three hundred fifteen billion, one hundred seventy-five million, two hundred twenty-eight thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 7.2315175228128 × 1013
Factors of 72315175228128
Divisors of 72315175228128
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 32 36 38 42 48 54 56 57 63 72 76 81 84 96 108 112 114 126 133 144 152 162 168 171 189 216 224 228 243 252 266 288 304 307 324 336 342 378 399 432 456 486 504 513 532 567 608 614 648 672 684 729 756 798 864 912 921 972 1008 1026 1064 1134 1197 1228 1296 1368 1458 1512 1539 1596 1701 1824 1842 1944 2016 2052 2128 2149 2187 2268 2394 2456 2592 2736 2763 2916 3024 3078 3192 3402 3591 3684 3888 4104 4256 4298 4374 4536 4617 4788 4912 5103 5472 5526 5832 5833 6048 6156 6384 6447 6804 7182 7368 7776 8208 8289 8596 8748 9072 9234 9576 9824 10206 10773 11052 11664 11666 12312 12768 12894 13608 13851 14364 14736 15309 16416 16578 17192 17496 17499 18144 18468 19152 19341 20412 21546 22104 23328 23332 24624 24867 25307 25788 27216 27702 28728 29472 30618 32319 33156 34384 34992 34998 36936 38304 38682 40824 40831 41553 43092 44208 46664 49248 49734 50614 51576 52497 54432 55404 57456 58023 61236 64638 66312 68768 69984 69996 73872 74601 75921 77364 81648 81662 83106 86184 88416 93328 96957 99468 101228 103152 104994 110808 114912 116046 122472 122493 129276 132624 139992 147744 149202 151842 154728 157491 163296 163324 166212 172368 174069 177149 186656 193914 198936 202456 206304 209988 221616 223803 227763 232092 244944 244986 258552 265248 279984 290871 298404 303684 309456 314982 326648 332424 344736 348138 354298 367479 387828 397872 404912 419976 443232 447606 455526 464184 472473 480833 489888 489972 517104 522207 531447 559968 581742 596808 607368 618912 629964 653296 664848 671409 683289 696276 708596 734958 775656 795744 809824 839952 895212 911052 928368 944946 961666 979944 1034208 1044414 1062894 1102437 1163484 1193616 1214736 1259928 1306592 1329696 1342818 1366578 1392552 1417192 1417419 1442499 1469916 1551312 1566621 1594341 1679904 1790424 1822104 1856736 1889892 1923332 1959888 2049867 2088828 2125788 2204874 2326968 2387232 2429472 2519856 2685636 2733156 2785104 2834384 2834838 2884998 2939832 3102624 3133242 3188682 3307311 3365831 3580848 3644208 3779784 3846664 3919776 4099734 4177656 4251576 4252257 4327497 4409748 4653936 4699863 4783023 5039712 5371272 5466312 5570208 5668768 5669676 5769996 5879664 6149601 6266484 6377364 6614622 6731662 7161696 7288416 7559568 7693328 7769249 8199468 8355312 8503152 8504514 8654994 8819496 9307872 9399726 9566046 9921933 10097493 10742544 10932624 11339352 11539992 11759328 12299202 12532968 12754728 12756771 12982491 13229244 13463324 14349069 15119136 15386656 15538498 16398936 16710624 17006304 17009028 17309988 17638992 18448803 18799452 19132092 19843866 20194986 21485088 21865248 22678704 23079984 23307747 24598404 25065936 25509456 25513542 25964982 26458488 26926648 28698138 29765799 30292479 31076996 32797872 34018056 34619976 35277984 36897606 37598904 38264184 38947473 39687732 40389972 43047207 45357408 46159968 46615494 49196808 50131872 51018912 51027084 51929964 52916976 53853296 54384743 55346409 57396276 59531598 60584958 62153992 65595744 68036112 69239952 69923241 73795212 75197808 76528368 77894946 79375464 80779944 86094414 89297397 90877437 93230988 98393616 102054168 103859928 105833952 107706592 108769486 110692818 114792552 116842419 119063196 121169916 124307984 129141621 136072224 138479904 139846482 147590424 147615731 150395616 153056736 155789892 158750928 161559888 163154229 172188828 178594794 181754874 186461976 196787232 204108336 207719856 209769723 217538972 221385636 229585104 233684838 238126392 242339832 248615968 258283242 272632311 279692964 295180848 295231462 311579784 317501856 323119776 326308458 344377656 350527257 357189588 363509748 372923952 387424863 408216672 415439712 419539446 435077944 442771272 442847193 459170208 467369676 476252784 484679664 489462687 516566484 545264622 559385928 590361696 590462924 623159568 629309169 652616916 688755312 701054514 714379176 727019496 745847904 774849726 817896933 839078892 870155888 885542544 885694386 934739352 952505568 969359328 978925374 1033132968 1033310117 1051581771 1090529244 1118771856 1180925848 1246319136 1258618338 1305233832 1328541579 1377510624 1402109028 1428758352 1454038992 1468388061 1549699452 1635793866 1678157784 1740311776 1771085088 1771388772 1869478704 1887927507 1957850748 2066265936 2066620234 2103163542 2181058488 2237543712 2361851696 2453690799 2517236676 2610467664 2657083158 2804218056 2857516704 2908077984 2936776122 3099398904 3099930351 3271587732 3356315568 3542777544 3738957408 3775855014 3915701496 3985624737 4132531872 4133240468 4206327084 4362116976 4405164183 4723703392 4907381598 5034473352 5220935328 5314166316 5608436112 5663782521 5873552244 6198797808 6199860702 6543175464 6712631136 7085555088 7361072397 7551710028 7831402992 7971249474 8266480936 8412654168 8724233952 8810328366 9299791053 9814763196 10068946704 10628332632 11216872224 11327565042 11747104488 11956874211 12397595616 12399721404 13086350928 13215492549 14171110176 14722144794 15103420056 15662805984 15942498948 16532961872 16825308336 16991347563 17620656732 18599582106 19629526392 20137893408 21256665264 22655130084 23494208976 23913748422 24799442808 26172701856 26430985098 27899373159 29444289588 30206840112 31884997896 33065923744 33650616672 33982695126 35241313464 35870622633 37199164212 39259052784 39646477647 42513330528 45310260168 46988417952 47827496844 49598885616 52861970196 55798746318 58888579176 60413680224 63769995792 67965390252 70482626928 71741245266 74398328424 78518105568 79292955294 83698119477 90620520336 95654993688 99197771232 105723940392 107611867899 111597492636 117777158352 118939432941 127539991584 135930780504 140965253856 143482490532 148796656848 158585910588 167396238954 181241040672 191309987376 211447880784 215223735798 223194985272 235554316704 237878865882 251094358431 271861561008 286964981064 297593313696 317171821176 322835603697 334792477908 382619974752 422895761568 430447471596 446389970544 475757731764 502188716862 543723122016 573929962128 634343642352 645671207394 669584955816 753283075293 860894943192 892779941088 951515463528 1004377433724 1147859924256 1268687284704 1291342414788 1339169911632 1506566150586 1721789886384 1903030927056 2008754867448 2259849225879 2582684829576 2678339823264 3013132301172 3443579772768 3806061854112 4017509734896 4519698451758 5165369659152 6026264602344 8035019469792 9039396903516 10330739318304 12052529204688 18078793807032 24105058409376 36157587614064 72315175228128
- Sum of all divisors σ(n): 257716911513600
- Sum of proper divisors (its aliquot sum) s(n): 185401736285472
- 72315175228128 is an abundant number, because the sum of its proper divisors (185401736285472) is greater than itself. Its abundance is 113086561057344
Bases of 72315175228128
- Binary: 100000111000101001100000101010011010010111000002
- Hexadecimal: 0x41C53054D2E0
- Base-36: PMT4S7I00
Squares and roots of 72315175228128
- 72315175228128 squared (723151752281282) is 5229484568274857536842384384
- 72315175228128 cubed (723151752281283) is 378171092907587626468232674311006664753152
-
The
square root of 72315175228128 is 8503832.9727322373 -
The
cube root of 72315175228128 is 41662.2909620715
Scales and comparisons
How big is 72315175228128?- 72,315,175,228,128 seconds is equal to 2,299,398 years, 46 weeks, 18 hours, 28 minutes, 48 seconds.
-
To count from 1 to 72,315,175,228,128 would take you about five million, seven hundred forty-eight thousand, four hundred ninety-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 72315175228128 cubic inches would be around 3471.9 feet tall.
Recreational maths with 72315175228128
- 72315175228128 backwards is 82182257151327
- 72315175228128 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 72315175228128's digits is 54
- More coming soon!
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The information we have on file for 72315175228128 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!
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