513352006631424
513,352,006,631,424 is an even composite number composed of four prime numbers multiplied together.
What does the number 513352006631424 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 648 divisors.
513352006631424 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 513352006631424:
226 × 32 × 173 × 173
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 17 × 17 × 17 × 173)See below for interesting mathematical facts about the number 513352006631424 from the Numbermatics database.
Names of 513352006631424
- Cardinal: 513352006631424 can be written as Five hundred thirteen trillion, three hundred fifty-two billion, six million, six hundred thirty-one thousand, four hundred twenty-four.
Scientific notation
- Scientific notation: 5.13352006631424 × 1014
Factors of 513352006631424
Divisors of 513352006631424
- Number of divisors d(n): 648
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 173 192 204 256 272 288 289 306 346 384 408 512 519 544 576 578 612 692 768 816 867 1024 1038 1088 1152 1156 1224 1384 1536 1557 1632 1734 2048 2076 2176 2304 2312 2448 2601 2768 2941 3072 3114 3264 3468 4096 4152 4352 4608 4624 4896 4913 5202 5536 5882 6144 6228 6528 6936 8192 8304 8704 8823 9216 9248 9792 9826 10404 11072 11764 12288 12456 13056 13872 14739 16384 16608 17408 17646 18432 18496 19584 19652 20808 22144 23528 24576 24912 26112 26469 27744 29478 32768 33216 34816 35292 36864 36992 39168 39304 41616 44217 44288 47056 49152 49824 49997 52224 52938 55488 58956 65536 66432 69632 70584 73728 73984 78336 78608 83232 88434 88576 94112 98304 99648 99994 104448 105876 110976 117912 131072 132864 139264 141168 147456 147968 149991 156672 157216 166464 176868 177152 188224 196608 199296 199988 208896 211752 221952 235824 262144 265728 278528 282336 294912 295936 299982 313344 314432 332928 353736 354304 376448 393216 398592 399976 417792 423504 443904 449973 471648 524288 531456 557056 564672 589824 591872 599964 626688 628864 665856 707472 708608 752896 786432 797184 799952 835584 847008 849949 887808 899946 943296 1048576 1062912 1114112 1129344 1179648 1183744 1199928 1253376 1257728 1331712 1414944 1417216 1505792 1572864 1594368 1599904 1671168 1694016 1699898 1775616 1799892 1886592 2097152 2125824 2228224 2258688 2359296 2367488 2399856 2506752 2515456 2549847 2663424 2829888 2834432 3011584 3145728 3188736 3199808 3342336 3388032 3399796 3551232 3599784 3773184 4194304 4251648 4456448 4517376 4718592 4734976 4799712 5013504 5030912 5099694 5326848 5659776 5668864 6023168 6291456 6377472 6399616 6684672 6776064 6799592 7102464 7199568 7546368 7649541 8388608 8503296 8912896 9034752 9437184 9469952 9599424 10027008 10061824 10199388 10653696 11319552 11337728 12046336 12582912 12754944 12799232 13369344 13552128 13599184 14204928 14399136 15092736 15299082 16777216 17006592 17825792 18069504 18874368 18939904 19198848 20054016 20123648 20398776 21307392 22639104 22675456 24092672 25165824 25509888 25598464 26738688 27104256 27198368 28409856 28798272 30185472 30598164 33554432 34013184 35651584 36139008 37748736 37879808 38397696 40108032 40247296 40797552 42614784 45278208 45350912 48185344 50331648 51019776 51196928 53477376 54208512 54396736 56819712 57596544 60370944 61196328 67108864 68026368 71303168 72278016 75497472 75759616 76795392 80216064 80494592 81595104 85229568 90556416 90701824 96370688 100663296 102039552 102393856 106954752 108417024 108793472 113639424 115193088 120741888 122392656 136052736 142606336 144556032 150994944 151519232 153590784 160432128 160989184 163190208 170459136 181112832 181403648 192741376 201326592 204079104 204787712 213909504 216834048 217586944 227278848 230386176 241483776 244785312 272105472 285212672 289112064 301989888 303038464 307181568 320864256 321978368 326380416 340918272 362225664 362807296 385482752 408158208 409575424 427819008 433668096 435173888 454557696 460772352 482967552 489570624 544210944 570425344 578224128 603979776 606076928 614363136 641728512 643956736 652760832 681836544 724451328 725614592 770965504 816316416 819150848 855638016 867336192 870347776 909115392 921544704 965935104 979141248 1088421888 1140850688 1156448256 1212153856 1228726272 1283457024 1287913472 1305521664 1363673088 1448902656 1451229184 1541931008 1632632832 1638301696 1711276032 1734672384 1740695552 1818230784 1843089408 1931870208 1958282496 2176843776 2312896512 2424307712 2457452544 2566914048 2575826944 2611043328 2727346176 2897805312 2902458368 3083862016 3265265664 3276603392 3422552064 3469344768 3481391104 3636461568 3686178816 3863740416 3916564992 4353687552 4625793024 4848615424 4914905088 5133828096 5151653888 5222086656 5454692352 5795610624 5804916736 6167724032 6530531328 6553206784 6938689536 6962782208 7272923136 7372357632 7727480832 7833129984 8707375104 9251586048 9697230848 9829810176 10267656192 10303307776 10444173312 10909384704 11591221248 11609833472 12335448064 13061062656 13106413568 13877379072 13925564416 14545846272 14744715264 15454961664 15666259968 17414750208 18503172096 19394461696 19659620352 20606615552 20888346624 21818769408 23182442496 24670896128 26122125312 26212827136 27754758144 27851128832 29091692544 29489430528 30909923328 31332519936 34829500416 37006344192 39319240704 41213231104 41776693248 43637538816 46364884992 49341792256 52244250624 52425654272 55509516288 55702257664 58183385088 58978861056 61819846656 62665039872 74012688384 78638481408 82426462208 83553386496 87275077632 92729769984 98683584512 104488501248 104851308544 111019032576 111404515328 117957722112 123639693312 125330079744 148025376768 157276962816 164852924416 167106772992 174550155264 185459539968 197367169024 209702617088 222038065152 222809030656 235915444224 247279386624 250660159488 296050753536 314553925632 329705848832 334213545984 370919079936 419405234176 444076130304 445618061312 471830888448 494558773248 501320318976 592101507072 629107851264 668427091968 741838159872 838810468352 888152260608 891236122624 943661776896 989117546496 1002640637952 1258215702528 1336854183936 1483676319744 1677620936704 1776304521216 1782472245248 1887323553792 2005281275904 2516431405056 2673708367872 2967352639488 3355241873408 3564944490496 3774647107584 4010562551808 5032862810112 5347416735744 7129888980992 7549294215168 8021125103616 10065725620224 10694833471488 14259777961984 15098588430336 16042250207232 21389666942976 28519555923968 30197176860672 32084500414464 42779333885952 57039111847936 64169000828928 85558667771904 128338001657856 171117335543808 256676003315712 513352006631424
- Sum of all divisors σ(n): 1584794602034280
- Sum of proper divisors (its aliquot sum) s(n): 1071442595402856
- 513352006631424 is an abundant number, because the sum of its proper divisors (1071442595402856) is greater than itself. Its abundance is 558090588771432
Bases of 513352006631424
- Binary: 11101001011100100000101000000000000000000000000002
- Hexadecimal: 0x1D2E414000000
- Base-36: 51YUNME4G0
Squares and roots of 513352006631424
- 513352006631424 squared (5133520066314242) is 263530282712509590471784267776
- 513352006631424 cubed (5133520066314243) is 135283799438613264794392595916106668152193024
-
The
square root of 513352006631424 is 22657272.7094728681 -
The
cube root of 513352006631424 is 80070.3551208775
Scales and comparisons
How big is 513352006631424?- 513,352,006,631,424 seconds is equal to 16,323,005 years, 47 weeks, 1 day, 19 hours, 50 minutes, 24 seconds.
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To count from 1 to 513,352,006,631,424 would take you about forty million, eight hundred seven thousand, five hundred fourteen 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 513352006631424 cubic inches would be around 6672.5 feet tall.
Recreational maths with 513352006631424
- 513352006631424 backwards is 424136600253315
- The number of decimal digits it has is: 15
- The sum of 513352006631424's digits is 45
- More coming soon!
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