513393422988672
513,393,422,988,672 is an even composite number composed of seven prime numbers multiplied together.
513393422988672 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 513393422988672:
27 × 32 × 192 × 29 × 67 × 347 × 1831
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 19 × 19 × 29 × 67 × 347 × 1831)See below for interesting mathematical facts about the number 513393422988672 from the Numbermatics database.
Names of 513393422988672
- Cardinal: 513393422988672 can be written as Five hundred thirteen trillion, three hundred ninety-three billion, four hundred twenty-two million, nine hundred eighty-eight thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 5.13393422988672 × 1014
Factors of 513393422988672
Divisors of 513393422988672
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 29 32 36 38 48 57 58 64 67 72 76 87 96 114 116 128 134 144 152 171 174 192 201 228 232 261 268 288 304 342 347 348 361 384 402 456 464 522 536 551 576 603 608 684 694 696 722 804 912 928 1041 1044 1072 1083 1102 1152 1206 1216 1273 1368 1388 1392 1444 1608 1653 1824 1831 1856 1943 2082 2088 2144 2166 2204 2412 2432 2546 2736 2776 2784 2888 3123 3216 3249 3306 3648 3662 3712 3819 3886 4164 4176 4288 4332 4408 4824 4959 5092 5472 5493 5552 5568 5776 5829 6246 6432 6498 6593 6612 7296 7324 7638 7772 8328 8352 8576 8664 8816 9648 9918 10063 10184 10469 10944 10986 11104 11136 11457 11552 11658 12492 12864 12996 13186 13224 14648 15276 15544 16479 16656 16704 17328 17487 17632 19296 19779 19836 20126 20368 20938 21888 21972 22208 22914 23104 23249 23316 24187 24984 25728 25992 26372 26448 29296 30189 30552 31088 31407 32958 33312 33408 34656 34789 34974 35264 36917 38592 39558 39672 40252 40736 41876 43944 44416 45828 46208 46498 46632 48374 49968 51984 52744 52896 53099 58592 59337 60378 61104 62176 62814 65916 66624 69312 69578 69747 69948 70528 72561 73834 77184 79116 79344 80504 81472 83752 87888 90567 91656 92996 93264 94221 96748 99936 103968 104367 105488 105792 106198 110751 117184 118674 120756 122208 122677 124352 125267 125628 131832 133248 138624 139156 139494 139896 145122 147668 158232 158688 159297 161008 162944 167504 175776 181134 183312 185992 186528 188442 191197 193496 199872 207936 208734 209241 210976 211584 212396 217683 221502 234368 237348 241512 244416 245354 248704 250534 251256 263664 278312 278988 279792 290244 295336 313101 316464 317376 318594 322016 332253 335008 351552 362268 366624 368031 371984 373056 375801 376884 382394 386992 399744 415872 417468 418482 421952 424792 435366 441731 443004 474696 477891 483024 488832 490708 501068 502512 527328 556624 557976 559584 573591 580488 590672 626202 632928 634752 635357 637188 644032 660991 664506 670016 674221 701423 703104 724536 733248 736062 743968 746112 751602 753768 764788 773984 834936 836964 843904 849584 870732 883462 886008 949392 955782 966048 981416 1002136 1005024 1008881 1054656 1104093 1113248 1115952 1119168 1127403 1147182 1160976 1181344 1252404 1265856 1270714 1274376 1288064 1321982 1325193 1329012 1340032 1348442 1402846 1449072 1466496 1472124 1487936 1503204 1507536 1529576 1547968 1669872 1673928 1699168 1720773 1741464 1766924 1772016 1898784 1906071 1911564 1932096 1962832 1982973 2004272 2010048 2017762 2022663 2104269 2109312 2208186 2226496 2231904 2238336 2254806 2294364 2321952 2330863 2362688 2504808 2531712 2541428 2548752 2643964 2650386 2658024 2696884 2805692 2898144 2944248 2975872 3006408 3015072 3026643 3059152 3095936 3339744 3347856 3398336 3441546 3482928 3533848 3544032 3557633 3632743 3797568 3812142 3823128 3864192 3925664 3965946 3975579 4008544 4020096 4035524 4045326 4208538 4416372 4452992 4463808 4509612 4588728 4643904 4661726 4725376 5009616 5082856 5097504 5287928 5300772 5316048 5393768 5611384 5718213 5796288 5888496 5948919 6012816 6030144 6053286 6067989 6118304 6312807 6679488 6695712 6796672 6883092 6965856 6992589 7067696 7088064 7115266 7265486 7595136 7624284 7646256 7851328 7931892 7951158 8017088 8071048 8090652 8392889 8417076 8832744 8927616 9019224 9079929 9177456 9287808 9323452 10019232 10165712 10195008 10575856 10601544 10632096 10672899 10787536 10898229 11222768 11436426 11592576 11776992 11897838 12025632 12060288 12071783 12106572 12135978 12236608 12625614 12810199 13358976 13391424 13766184 13931712 13985178 14135392 14176128 14230532 14530972 15248568 15292512 15702656 15863784 15902316 16034176 16142096 16181304 16785778 16834152 17665488 18038448 18159858 18354912 18425353 18646904 19168739 20038464 20331424 20390016 20977767 21151712 21203088 21264192 21345798 21575072 21796458 22445536 22872852 23553984 23795676 24051264 24143566 24213144 24271956 24473216 25178667 25251228 25620398 26782848 27532368 27863424 27970356 28270784 28461064 29061944 30497136 30585024 31727568 31804632 32018697 32284192 32362608 32694687 33571556 33668304 35330976 36076896 36215349 36319716 36709824 36850706 37293808 38337478 38430597 40076928 40662848 41955534 42303424 42406176 42528384 42568919 42691596 43150144 43592916 44286397 44891072 45745704 47107968 47591352 48102528 48287132 48426288 48543912 50357334 50502456 51240796 55064736 55276059 55940712 56541568 56922128 57506217 58123888 60994272 61170048 63455136 63609264 64037394 64568384 64725216 65389374 67143112 67336608 67595027 70661952 72153792 72430698 72639432 73419648 73701412 74587616 75536001 76674956 76861194 81325696 83911068 84606848 84812352 85137838 85383192 86300288 87185832 88572794 89782144 91491408 95182704 96574264 96852576 97087824 100714668 101004912 102481592 108646047 110129472 110552118 111881424 113844256 115012434 115291791 116247776 121988544 126910272 127218528 127706757 128074788 129136768 129450432 130778748 132859191 134286224 134673216 135190054 141323904 144307584 144861396 145278864 147402824 149175232 151072002 153349912 153722388 165828177 167822136 169624704 170275676 170766384 172518651 174371664 177145588 182982816 190365408 193148528 193705152 194175648 201429336 202009824 202785081 204963184 217292094 220258944 221104236 223762848 227688512 229363877 230024868 230583582 232495552 243393781 243977088 253820544 254437056 255413514 256149576 258900864 261557496 265718382 268572448 269346432 270380108 289722792 290557728 294805648 298350464 302144004 306699824 307444776 331656354 335644272 340551352 341532768 345037302 348743328 350081707 354291176 365965632 380730816 383120271 386297056 387410304 388351296 398577573 402858672 404019648 405570162 409926368 434584188 442208472 447525696 455377024 458727754 460049736 461167164 464991104 486787562 508874112 510827028 512299152 523114992 531436764 537144896 540760216 579445584 581115456 589611296 604288008 608355243 613399648 614889552 663312708 671288544 681102704 683065536 688091631 690074604 697486656 700163414 708582352 730181343 731931264 761461632 766240542 772594112 776702592 797155146 805717344 808039296 808809461 811140324 819852736 869168376 884416944 895051392 917455508 920099472 922334328 973575124 1021654056 1024598304 1046229984 1050245121 1062873528 1074289792 1081520432 1158891168 1162230912 1179222592 1208576016 1216710486 1226799296 1229779104 1234498651 1284305513 1326625416 1342577088 1362205408 1366131072 1376183262 1380149208 1394973312 1400326828 1417164704 1460362686 1532481084 1545188224 1594310292 1611434688 1617618922 1622280648 1639705472 1738336752 1768833888 1834911016 1840198944 1844668656 1947150248 2043308112 2049196608 2064274893 2092459968 2100490242 2125747056 2163040864 2190544029 2317782336 2358445184 2417152032 2426428383 2433420972 2453598592 2459558208 2468997302 2568611026 2653250832 2685154176 2724410816 2752366524 2760298416 2800653656 2834329408 2920725372 3064962168 3150735363 3188620584 3222869376 3235237844 3244561296 3476673504 3537667776 3669822032 3680397888 3689337312 3703495953 3852916539 3894300496 4086616224 4098393216 4128549786 4184919936 4200980484 4251494112 4326081728 4381088058 4635564672 4834304064 4852856766 4866841944 4919116416 4937994604 5137222052 5306501664 5448821632 5504733048 5520596832 5601307312 5668658816 5841450744 6129924336 6301470726 6377241168 6470475688 6489122592 6651552433 6953347008 7075335552 7279285149 7339644064 7360795776 7378674624 7406991906 7705833078 7788600992 8173232448 8257099572 8401960968 8502988224 8652163456 8762176116 9668608128 9705713532 9733683888 9875989208 10274444104 10613003328 11009466096 11041193664 11110487859 11202614624 11558749617 11682901488 12259848672 12602941452 12754482336 12940951376 12978245184 13303104866 13906694016 14558570298 14679288128 14757349248 14813983812 15367379759 15411666156 15577201984 16346464896 16514199144 16803921936 17005976448 17524352232 19411427064 19467367776 19751978416 19954657299 20548888208 21226006656 22018932192 22082387328 22220975718 22405229248 23117499234 23365802976 23455474369 24519697344 25205882904 25508964672 25881902752 25956490368 26606209732 29117140596 29358576256 29627967624 30734759518 30823332312 31154403968 33028398288 33607843872 35048704464 38822854128 38934735552 39503956832 39909314598 41097776416 44037864384 44441951436 44810458496 46102139277 46234998468 46731605952 46910948738 49039394688 50411765808 51017929344 51763805504 53212419464 58234281192 59255935248 59863971897 61469519036 61646664624 66056796576 67215687744 70097408928 70366423107 77645708256 77869471104 79007913664 79818629196 82195552832 88075728768 88883902872 92204278554 92469996936 93463211904 93821897476 100823531616 103527611008 106424838928 116468562384 118511870496 119727943794 122939038072 123293329248 132113593152 134431375488 138306417831 140194817856 140732846214 155291416512 158015827328 159637258392 164391105664 177767805744 184408557108 184939993872 187643794952 201647063232 211099269321 212849677856 232937124768 237023740992 239455887588 245878076144 246586658496 264227186304 276612835662 280389635712 281465692428 310582833024 319274516784 355535611488 368817114216 369879987744 375287589904 403294126464 422198538642 425699355712 445654013011 465874249536 474047481984 478911775176 491756152288 493173316992 553225671324 562931384856 638549033568 711071222976 737634228432 739759975488 750575179808 844397077284 851398711424 891308026022 931748499072 957823550352 983512304576 1106451342648 1125862769712 1277098067136 1336962039033 1422142445952 1475268456864 1479519950976 1501150359616 1688794154568 1782616052044 1915647100704 1967024609152 2212902685296 2251725539424 2554196134272 2673924078066 2950536913728 3002300719232 3377588309136 3565232104088 3831294201408 4010886117099 4425805370592 4503451078848 5347848156132 5901073827456 6755176618272 7130464208176 7662588402816 8021772234198 8851610741184 9006902157696 10695696312264 13510353236544 14260928416352 16043544468396 17703221482368 21391392624528 27020706473088 28521856832704 32087088936792 42782785249056 57043713665408 64174177873584 85565570498112 128348355747168 171131140996224 256696711494336 513393422988672
- Sum of all divisors σ(n): 1642643763321600
- Sum of proper divisors (its aliquot sum) s(n): 1129250340332928
- 513393422988672 is an abundant number, because the sum of its proper divisors (1129250340332928) is greater than itself. Its abundance is 615856917344256
Bases of 513393422988672
- Binary: 11101001011101101101110001001101101110101100000002
- Hexadecimal: 0x1D2EDB89B7580
- Base-36: 51ZDOKME80
Squares and roots of 513393422988672
- 513393422988672 squared (5133934229886722) is 263572806768025487608640323584
- 513393422988672 cubed (5133934229886723) is 135316545473368419279575747376986710446440448
-
The
square root of 513393422988672 is 22658186.6659420035 -
The
cube root of 513393422988672 is 80072.5083758315
Scales and comparisons
How big is 513393422988672?- 513,393,422,988,672 seconds is equal to 16,324,322 years, 42 weeks, 4 days, 19 hours, 31 minutes, 12 seconds.
-
To count from 1 to 513,393,422,988,672 would take you about forty million, eight hundred ten thousand, eight hundred 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 513393422988672 cubic inches would be around 6672.7 feet tall.
Recreational maths with 513393422988672
- 513393422988672 backwards is 276889224393315
- 513393422988672 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 513393422988672's digits is 72
- 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 513393422988672 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
APA style:
Numbermatics. (2024). Number 513393422988672 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/513393422988672/
Chicago style:
Numbermatics. 2024. "Number 513393422988672 - Facts about the integer". https://numbermatics.com/n/513393422988672/
The information we have on file for 513393422988672 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 513393422988672, math, Factors of 513393422988672, curriculum, school, college, exams, university, Prime factorization of 513393422988672, STEM, science, technology, engineering, physics, economics, calculator, five hundred thirteen trillion, three hundred ninety-three billion, four hundred twenty-two million, nine hundred eighty-eight thousand, six hundred seventy-two.