513649856432128
513,649,856,432,128 is an even composite number composed of six prime numbers multiplied together.
What does the number 513649856432128 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
513649856432128 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 513649856432128:
211 × 134 × 17 × 19 × 31 × 877
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 13 × 13 × 13 × 17 × 19 × 31 × 877)See below for interesting mathematical facts about the number 513649856432128 from the Numbermatics database.
Names of 513649856432128
- Cardinal: 513649856432128 can be written as Five hundred thirteen trillion, six hundred forty-nine billion, eight hundred fifty-six million, four hundred thirty-two thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 5.13649856432128 × 1014
Factors of 513649856432128
Divisors of 513649856432128
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 8 13 16 17 19 26 31 32 34 38 52 62 64 68 76 104 124 128 136 152 169 208 221 247 248 256 272 304 323 338 403 416 442 494 496 512 527 544 589 608 646 676 806 832 877 884 988 992 1024 1054 1088 1178 1216 1292 1352 1612 1664 1754 1768 1976 1984 2048 2108 2176 2197 2356 2432 2584 2704 2873 3211 3224 3328 3508 3536 3952 3968 4199 4216 4352 4394 4712 4864 5168 5239 5408 5746 6422 6448 6656 6851 7016 7072 7657 7904 7936 8398 8432 8704 8788 9424 9728 10013 10336 10478 10816 11401 11492 12844 12896 13312 13702 14032 14144 14909 15314 15808 15872 16663 16796 16864 17408 17576 18848 19456 20026 20672 20956 21632 22802 22984 25688 25792 26624 27187 27404 28064 28288 28561 29818 30628 31616 31744 33326 33592 33728 34816 35152 37349 37696 38912 40052 41344 41743 41912 43264 45604 45968 51376 51584 54374 54587 54808 56128 56576 57122 59636 61256 63232 63488 66652 67184 67456 68107 70304 74698 75392 80104 82688 83486 83824 86528 89063 91208 91936 99541 102752 103168 108748 109174 109616 112256 113152 114244 119272 122512 126464 130169 133304 134368 134912 136214 140608 148213 149396 150784 160208 165376 166972 167648 173056 178126 182416 183872 193817 199082 205504 206336 216619 217496 218348 219232 224512 226304 228488 238544 245024 252928 260338 266608 268736 269824 272428 281216 283271 296426 298792 301568 320416 330752 333944 335296 346112 353431 356252 364832 367744 387634 398164 411008 412672 433238 434992 436696 438464 449024 452608 456976 462179 477088 485537 490048 505856 516553 520676 533216 537472 539648 542659 544856 562432 566542 592852 597584 603136 640832 661504 667888 670592 706862 709631 712504 729664 735488 775268 796328 822016 825344 866476 869984 873392 876928 885391 898048 913952 924358 954176 971074 980096 1033106 1041352 1066432 1074944 1079296 1085318 1089712 1124864 1133084 1157819 1185704 1195168 1206272 1281664 1294033 1335776 1341184 1413724 1419262 1425008 1459328 1470976 1550536 1592656 1644032 1692197 1732952 1739968 1746784 1753856 1770782 1796096 1827904 1848716 1908352 1926769 1942148 1960192 2066212 2082704 2132864 2149888 2170636 2179424 2249728 2266168 2315638 2371408 2390336 2519621 2563328 2588066 2671552 2682368 2816047 2827448 2838524 2850016 2918656 2941952 3101072 3185312 3288064 3384394 3465904 3479936 3493568 3507712 3541564 3655808 3682523 3697432 3816704 3853538 3884296 3920384 4132424 4165408 4265728 4299776 4341272 4358848 4499456 4532336 4594603 4631276 4742816 4780672 5039242 5126656 5176132 5343104 5364736 5632094 5654896 5677048 5700032 5837312 5883904 6008327 6202144 6370624 6576128 6715189 6768788 6931808 6959872 6987136 7015424 7083128 7311616 7365046 7394864 7633408 7707076 7768592 7840768 8264848 8330816 8531456 8599552 8682544 8717696 8781401 9064672 9189206 9225203 9262552 9485632 9561344 10078484 10253312 10352264 10686208 10729472 11264188 11309792 11354096 11400064 11674624 12016654 12404288 12741248 13430378 13537576 13863616 13919744 13974272 14030848 14166256 14623232 14730092 14789728 15051647 15266816 15414152 15537184 15681536 16529696 16661632 16822429 17062912 17365088 17435392 17562802 18129344 18378412 18450406 18525104 18971264 19122688 20156968 20506624 20704528 21372416 21998561 22528376 22619584 22708192 22800128 23349248 24033308 24808576 25047997 25482496 26860756 27075152 27727232 27839488 27948544 28332512 29246464 29460184 29579456 30103294 30533632 30828304 31074368 32755073 33059392 33323264 33644858 34125824 34730176 34870784 35125604 36258688 36608611 36756824 36900812 37050208 37942528 38245376 40313936 41409056 42744832 43997122 45056752 45239168 45416384 45600256 47872799 48066616 49617152 50095994 50964992 53721512 54150304 55454464 55678976 55897088 56665024 58492928 58920368 59158912 59729839 60206588 61656608 62148736 65510146 66118784 66646528 67289716 69460352 69741568 70251208 72517376 73217222 73513648 73801624 74100416 75885056 76490752 78108251 80627872 82818112 85489664 87297457 87994244 90113504 90478336 90832768 91200512 95745598 96133232 99234304 100191988 101929984 107443024 108300608 110908928 111794176 113330048 114158213 117840736 118317824 119459678 120413176 123313216 124297472 131020292 132237568 133293056 134579432 138920704 139483136 140502416 145034752 146434444 147027296 147603248 148200832 151770112 156216502 161255744 165636224 174594914 175988488 180227008 180956672 181665536 182401024 191491196 192266464 198468608 200383976 203859968 214886048 216601216 221817856 226660096 228316426 235681472 236635648 238919356 240826352 246626432 248594944 262040584 264475136 266586112 269158864 277841408 281004832 285981293 290069504 292868888 294054592 295206496 296401664 303540224 312433004 322511488 331272448 349189828 351976976 360454016 361913344 363331072 382982392 384532928 396937216 400767952 425815949 429772096 433202432 443635712 453320192 456632852 471362944 473271296 475911943 477838712 481652704 493252864 497189888 524081168 528950272 538317728 555682816 562009664 571962586 580139008 585737776 588109184 590412992 592803328 622346387 624866008 645022976 662544896 698379656 703953952 720908032 723826688 726662144 765964784 769065856 776487907 801535904 851631898 859544192 866404864 906640384 913265704 942725888 946542592 951823886 955677424 963305408 986505728 994379776 1015407263 1048162336 1057900544 1076635456 1111365632 1124019328 1134866941 1143925172 1171475552 1176218368 1180825984 1185606656 1244692774 1249732016 1290045952 1325089792 1396759312 1407907904 1441816064 1453324288 1484056769 1531929568 1538131712 1552975814 1603071808 1703263796 1719088384 1732809728 1813280768 1826531408 1885451776 1903647772 1911354848 1926610816 1973011456 2030814526 2096324672 2153270912 2248038656 2269733882 2287850344 2342951104 2352436736 2361651968 2371213312 2489385548 2499464032 2580091904 2650179584 2793518624 2815815808 2883632128 2968113538 3063859136 3076263424 3105951628 3206143616 3406527592 3438176768 3465619456 3653062816 3770903552 3807295544 3822709696 3853221632 3946022912 4061629052 4192649344 4306541824 4496077312 4539467764 4575700688 4685902208 4704873472 4723303936 4978771096 4998928064 5160183808 5587037248 5631631616 5767264256 5936227076 6127718272 6152526848 6211903256 6412287232 6813055184 6876353536 7306125632 7541807104 7614591088 7645419392 7706443264 8090503031 8123258104 8385298688 8613083648 8992154624 9078935528 9151401376 9371804416 9409746944 9446607872 9957542192 9997856128 11174074496 11263263232 11872454152 12255436544 12305053696 12423806512 12824574464 13200294419 13626110368 13752707072 14612251264 14753270233 15229182176 15290838784 15412886528 16181006062 16246516208 16770597376 17226167296 17984309248 18157871056 18302802752 18743608832 18893215744 19292737997 19915084384 19995712256 22348148992 22526526464 23744908304 24510873088 24847613024 25649148928 26400588838 27252220736 29224502528 29506540466 30458364352 30581677568 30825773056 32362012124 32493032416 33541194752 34452334592 36315742112 36605605504 37487217664 38585475994 39830168768 39991424512 44696297984 45053052928 47489816608 49021746176 49695226048 51298297856 52801177676 54504441472 58449005056 59013080932 60916728704 61163355136 64724024248 64986064832 67082389504 72631484224 73211211008 74974435328 77170951988 79660337536 79982849024 89392595968 94979633216 98043492352 99390452096 105602355352 109008882944 116898010112 118026161864 121833457408 122326710272 129448048496 129972129664 145262968448 146422422016 154341903976 159320675072 159965698048 178785191936 189959266432 198780904192 211204710704 218017765888 233796020224 236052323728 243666914816 250805593961 258896096992 259944259328 290525936896 292844844032 308683807952 318641350144 379918532864 397561808384 422409421408 436035531776 472104647456 487333829632 501611187922 517792193984 519888518656 581051873792 585689688064 617367615904 637282700288 759837065728 795123616768 844818842816 872071063552 944209294912 974667659264 1003222375844 1035584387968 1039777037312 1162103747584 1234735231808 1274565400576 1519674131456 1590247233536 1689637685632 1888418589824 2006444751688 2071168775936 2079554074624 2324207495168 2469470463616 3039348262912 3379275371264 3776837179648 4012889503376 4142337551872 4938940927232 6758550742528 7553674359296 8025779006752 8284675103744 9877881854464 13517101485056 15107348718592 16051558013504 16569350207488 19755763708928 27034202970112 30214697437184 32103116027008 39511527417856 64206232054016 128412464108032 256824928216064 513649856432128
- Sum of all divisors σ(n): 1281549090931200
- Sum of proper divisors (its aliquot sum) s(n): 767899234499072
- 513649856432128 is an abundant number, because the sum of its proper divisors (767899234499072) is greater than itself. Its abundance is 254249378066944
Bases of 513649856432128
- Binary: 11101001100101001011011010011101101001000000000002
- Hexadecimal: 0x1D3296D3B4800
- Base-36: 522NHIH1J4
Squares and roots of 513649856432128
- 513649856432128 squared (5136498564321282) is 263836175012745706133870608384
- 513649856432128 cubed (5136498564321283) is 135519413416898628756188731219291230963761152
-
The
square root of 513649856432128 is 22663844.6966115615 -
The
cube root of 513649856432128 is 80085.8378877787
Scales and comparisons
How big is 513649856432128?- 513,649,856,432,128 seconds is equal to 16,332,476 years, 31 weeks, 5 days, 11 hours, 35 minutes, 28 seconds.
-
To count from 1 to 513,649,856,432,128 would take you about forty million, eight hundred thirty-one thousand, one hundred ninety-one 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 513649856432128 cubic inches would be around 6673.8 feet tall.
Recreational maths with 513649856432128
- 513649856432128 backwards is 821234658946315
- The number of decimal digits it has is: 15
- The sum of 513649856432128's digits is 67
- More coming soon!
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The information we have on file for 513649856432128 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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