513080103025152
513,080,103,025,152 is an even composite number composed of seven prime numbers multiplied together.
513080103025152 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 513080103025152:
29 × 32 × 13 × 41 × 193 × 601 × 1801
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 41 × 193 × 601 × 1801)See below for interesting mathematical facts about the number 513080103025152 from the Numbermatics database.
Names of 513080103025152
- Cardinal: 513080103025152 can be written as Five hundred thirteen trillion, eighty billion, one hundred three million, twenty-five thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 5.13080103025152 × 1014
Factors of 513080103025152
Divisors of 513080103025152
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 41 48 52 64 72 78 82 96 104 117 123 128 144 156 164 192 193 208 234 246 256 288 312 328 369 384 386 416 468 492 512 533 576 579 601 624 656 738 768 772 832 936 984 1066 1152 1158 1202 1248 1312 1476 1536 1544 1599 1664 1737 1801 1803 1872 1968 2132 2304 2316 2404 2496 2509 2624 2952 3088 3198 3328 3474 3602 3606 3744 3936 4264 4608 4632 4797 4808 4992 5018 5248 5403 5409 5904 6176 6396 6656 6948 7204 7212 7488 7527 7813 7872 7913 8528 9264 9594 9616 9984 10036 10496 10806 10818 11808 12352 12792 13896 14408 14424 14976 15054 15626 15744 15826 16209 17056 18528 19188 19232 19968 20072 20992 21612 21636 22581 23413 23439 23616 23739 24641 24704 25584 27792 28816 28848 29952 30108 31252 31488 31652 32418 34112 37056 38376 38464 40144 43224 43272 45162 46826 46878 47232 47478 49282 49408 51168 55584 57632 57696 59904 60216 62504 62976 63304 64836 68224 70239 70317 71217 73841 73923 74112 76752 76928 80288 86448 86544 90324 93652 93756 94464 94956 98564 98816 102336 102869 111168 115264 115392 115993 120432 125008 126608 129672 136448 140478 140634 142434 147682 147846 148224 153504 153856 160576 172896 173088 180648 187304 187512 188928 189912 197128 204672 205738 210717 221523 221769 222336 230528 230784 231986 240864 250016 253216 259344 272896 280956 281268 284868 295364 295692 296448 307008 307712 308607 320333 321152 345792 346176 347593 347979 361296 374608 375024 379824 394256 409344 411476 421434 443046 443538 444672 461056 461568 463972 481728 500032 506432 518688 561912 562536 569736 590728 591384 614016 617214 640666 642304 664569 691584 692352 695186 695958 722592 749216 750048 759648 788512 818688 822952 842868 886092 887076 889344 922112 923136 925821 927944 959933 960999 963456 1000064 1012864 1037376 1042779 1043937 1082401 1123824 1125072 1139472 1181456 1182768 1228032 1234428 1281332 1284608 1329138 1383168 1384704 1390372 1391916 1445184 1498432 1500096 1507909 1519296 1577024 1645904 1685736 1772184 1774152 1851642 1855888 1919866 1921998 1926912 2000128 2025728 2074752 2085558 2087874 2164802 2247648 2250144 2278944 2362912 2365536 2456064 2468856 2562664 2658276 2766336 2769408 2780744 2783832 2879799 2882997 2890368 2996864 3000192 3015818 3038592 3128337 3154048 3247203 3291808 3371472 3544368 3548304 3703284 3711776 3839732 3843996 3853824 4000256 4051456 4149504 4171116 4175748 4329604 4495296 4500288 4518709 4523727 4557888 4725824 4731072 4755713 4937712 5125328 5316552 5561488 5567664 5759598 5765994 5780736 5993728 6000384 6031636 6077184 6256674 6308096 6494406 6583616 6742944 7088736 7096608 7406568 7423552 7679464 7687992 8299008 8342232 8351496 8639397 8659208 8990592 9000576 9037418 9047454 9115776 9451648 9462144 9511426 9741609 9875424 10250656 10633104 11122976 11135328 11519196 11531988 11561472 11987456 12000768 12063272 12154368 12513348 12616192 12988812 13167232 13485888 13556127 13571181 14071213 14177472 14193216 14251313 14267139 14813136 14847104 15358928 15375984 16684464 16702992 17278794 17318416 17981184 18001152 18074836 18094908 18231552 18903296 18924288 19022852 19483218 19750848 20501312 21266208 22245952 22270656 23038392 23063976 24126544 25026696 25977624 26334464 26971776 27112254 27142362 28142426 28354944 28386432 28502626 28534278 29626272 29694208 30717856 30751968 33368928 33405984 34557588 34636832 35962368 36002304 36149672 36189816 36463104 37806592 37848576 38045704 38966436 39501696 40668381 41002624 42213639 42532416 42753939 42801417 44378441 44491904 44541312 46076784 46127952 48253088 50053392 51955248 52668928 53943552 54224508 54284724 56284852 56709888 56772864 57005252 57068556 59252544 59388416 61435712 61503936 61824269 66737856 66811968 69115176 69273664 72299344 72379632 76091408 77932872 79003392 81336762 82005248 84427278 85064832 85507878 85602834 88756882 88983808 89082624 92153568 92255904 96506176 100106784 103910496 107887104 108449016 108569448 112569704 113419776 113545728 114010504 114137112 118505088 122871424 123007872 123648538 126640917 128261817 133135323 133475712 133623936 138230352 138547328 144598688 144759264 152182816 155865744 158006784 162673524 164010496 168854556 170129664 171015756 171205668 177513764 177967616 178165248 184307136 184511808 185267069 185472807 193012352 200213568 207820992 208903393 216898032 217138896 225139408 228021008 228274224 237010176 245742848 246015744 247297076 253281834 256523634 266270646 266951424 267247872 276460704 277094656 289197376 289518528 304365632 311731488 325347048 337709112 340259328 342031512 342411336 355027528 368614272 369023616 370534138 370945614 386024704 399405969 400427136 415641984 417806786 433796064 434277792 450278816 456042016 456548448 474020352 491485696 492031488 494594152 506563668 513047268 532541292 533902848 534495744 552921408 554189312 555801207 556418421 576919733 578394752 579037056 608731264 623462976 626710179 650694096 675418224 684063024 684822672 710055056 737228544 738047232 741068276 741891228 772049408 798811938 800854272 831283968 835613572 867592128 868555584 900557632 912084032 913096896 989188304 1013127336 1026094536 1065082584 1105842816 1111602414 1112836842 1153839466 1156789504 1158074112 1217462528 1246925952 1253420358 1301388192 1350836448 1368126048 1369645344 1420110112 1474457088 1476094464 1482136552 1483782456 1597623876 1601708544 1662567936 1667403621 1671227144 1730759199 1735184256 1737111168 1801115264 1824168064 1826193792 1880130537 1978376608 2026254672 2052189072 2130165168 2211685632 2223204828 2225673684 2307678932 2313579008 2316148224 2434925056 2493851904 2506840716 2602776384 2701672896 2715744109 2736252096 2739290688 2840220224 2964273104 2967564912 3195247752 3334807242 3342454288 3461518398 3470368512 3474222336 3602230528 3648336128 3652387584 3760261074 3956753216 4052509344 4104378144 4260330336 4423371264 4446409656 4451347368 4615357864 4987703808 5013681432 5192277597 5205552768 5403345792 5431488218 5472504192 5478581376 5680440448 5928546208 5935129824 6390495504 6669614484 6684908576 6923036796 6940737024 6948444672 7204461056 7296672256 7304775168 7520522148 7913506432 8105018688 8147232327 8208756288 8520660672 8565039113 8892819312 8902694736 9230715728 10027362864 10384555194 10411105536 10806691584 10862976436 10945008384 10957162752 11360880896 11857092416 11870259648 12780991008 13339228968 13369817152 13846073592 15041044296 15827012864 16210037376 16294464654 16417512576 17041321344 17130078226 17785638624 17805389472 18461431456 20054725728 20769110388 20822211072 21613383168 21725952872 21890016768 21914325504 22721761792 23714184832 23740519296 24441696981 25561982016 25695117339 26678457936 26739634304 27692147184 30082088592 31654025728 32420074752 32588929308 32835025152 34082642688 34260156452 35571277248 35610778944 36922862912 40109451456 41538220776 43451905744 47428369664 47481038592 48883393962 51123964032 51390234678 53356915872 53479268608 55384294368 60164177184 64840149504 65177858616 65670050304 68165285376 68520312904 71142554496 71221557888 73845725824 77085352017 80218902912 83076441552 86903811488 94856739328 94962077184 97766787924 102247928064 102780469356 106713831744 106958537216 110768588736 111345508469 120328354368 130355717232 137040625808 142285108992 142443115776 147691451648 154170704034 160437805824 166152883104 173807622976 195533575848 204495856128 205560938712 213427663488 221537177472 222691016938 240656708736 260711434464 274081251616 284570217984 284886231552 295382903296 308341408068 320875611648 332305766208 334036525407 347615245952 391067151696 411121877424 426855326976 443074354944 445382033876 481313417472 521422868928 548162503232 616682816136 664611532416 668073050814 695230491904 782134303392 822243754848 853710653952 886148709888 890764067752 962626834944 1002109576221 1042845737856 1096325006464 1233365632272 1329223064832 1336146101628 1390460983808 1564268606784 1644487509696 1781528135504 2004219152442 2085691475712 2192650012928 2466731264544 2658446129664 2672292203256 3128537213568 3288975019392 3563056271008 4008438304884 4171382951424 4385300025856 4933462529088 5344584406512 6257074427136 6577950038784 7126112542016 8016876609768 9866925058176 10689168813024 12514148854272 13155900077568 14252225084032 16033753219536 19733850116352 21378337626048 28504450168064 32067506439072 39467700232704 42756675252096 57008900336128 64135012878144 85513350504192 128270025756288 171026701008384 256540051512576 513080103025152
- Sum of all divisors σ(n): 1645694887348512
- Sum of proper divisors (its aliquot sum) s(n): 1132614784323360
- 513080103025152 is an abundant number, because the sum of its proper divisors (1132614784323360) is greater than itself. Its abundance is 619534681298208
Bases of 513080103025152
- Binary: 11101001010100100110001010100100000111010000000002
- Hexadecimal: 0x1D2A4C5483A00
- Base-36: 51VDQU0740
Squares and roots of 513080103025152
- 513080103025152 squared (5130801030251522) is 263251192120300590501944623104
- 513080103025152 cubed (5130801030251523) is 135068948774577909349908369374801410872311808
-
The
square root of 513080103025152 is 22651271.5542671467 -
The
cube root of 513080103025152 is 80056.2158538629
Scales and comparisons
How big is 513080103025152?- 513,080,103,025,152 seconds is equal to 16,314,360 years, 11 weeks, 1 day, 8 hours, 19 minutes, 12 seconds.
-
To count from 1 to 513,080,103,025,152 would take you about forty million, seven hundred eighty-five thousand, nine hundred 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 513080103025152 cubic inches would be around 6671.4 feet tall.
Recreational maths with 513080103025152
- 513080103025152 backwards is 251520301080315
- 513080103025152 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 513080103025152's digits is 36
- More coming soon!
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The information we have on file for 513080103025152 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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