428916969356147712

Names of 428916969356147712

• Cardinal: 428916969356147712 can be written as Four hundred twenty-eight quadrillion, nine hundred sixteen trillion, nine hundred sixty-nine billion, three hundred fifty-six million, one hundred forty-seven thousand, seven hundred twelve.

Scientific notation

• Scientific notation: 4.28916969356147712 × 10¹⁷

Factors of 428916969356147712

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 275884

Divisors of 428916969356147712

• Number of divisors d(n): 1056
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 17 18 22 24 31 32 33 34 36 44 48 51 62 64 66 68 72 88 93 96 99 102 124 128 132 136 144 153 176 186 187 192 198 204 248 256 264 272 279 288 306 341 352 372 374 384 396 408 496 512 527 528 544 558 561 576 612 682 704 744 748 768 792 816 992 1023 1024 1054 1056 1088 1116 1122 1152 1224 1364 1408 1488 1496 1536 1581 1584 1632 1683 1984 2046 2108 2112 2176 2232 2244 2304 2448 2728 2816 2976 2992 3069 3072 3162 3168 3264 3366 3968 4092 4216 4224 4352 4464 4488 4608 4743 4896 5456 5632 5797 5952 5984 6138 6324 6336 6528 6732 7936 8184 8432 8448 8704 8928 8976 9216 9486 9792 10912 11264 11594 11904 11968 12276 12648 12672 13056 13464 15872 16368 16864 16896 17391 17408 17856 17952 18972 19584 21824 23188 23808 23936 24552 25296 25344 26112 26928 31744 32736 33073 33728 33792 34782 35712 35904 37944 39168 43648 46376 47616 47872 49104 50592 50688 52173 52224 53856 65472 66146 67456 69564 71424 71808 75888 78336 87296 92752 95232 95744 98208 99219 101184 101376 104346 107712 130944 132292 134912 139128 142848 143616 151776 156672 174592 185504 191488 196416 198438 202368 208692 215424 242747 261888 264584 269824 278256 285696 287232 297657 303552 349184 363803 371008 392832 396876 404736 417384 430848 485494 523776 529168 539648 556512 562241 574464 595314 607104 727606 728241 742016 785664 793752 809472 834768 861696 970988 1025263 1047552 1058336 1091409 1113024 1124482 1190628 1214208 1455212 1456482 1484032 1571328 1587504 1618944 1669536 1686723 1723392 1941976 2050526 2116672 2182818 2184723 2226048 2248964 2381256 2428416 2670217 2910424 2912964 2968064 3075789 3142656 3175008 3274227 3339072 3373446 3883952 4101052 4126699 4233344 4365636 4369446 4452096 4497928 4762512 4856832 5060169 5340434 5820848 5825928 5936128 6151578 6184651 6350016 6548454 6678144 6746892 7525157 7767904 8010651 8202104 8253398 8466688 8731272 8738892 8904192 8995856 9227367 9525024 10120338 10680868 11277893 11641696 11651856 12303156 12369302 12380097 12700032 13096908 13356288 13493784 15050314 15535808 16021302 16404208 16506796 16933376 17429471 17462544 17477784 17808384 17991712 18454734 18553953 19050048 20240676 21361736 22555786 22575471 23283392 23303712 24031953 24606312 24738604 24760194 25400064 26193816 26712576 26987568 30100628 31071616 32042604 32808416 33013592 33833679 33866752 34858942 34925088 34955568 35983424 36909468 37107906 37140291 38100096 40481352 42723472 45111572 45150942 45393689 46566784 46607424 48063906 49212624 49477208 49520388 50800128 52288413 52387632 53425152 53975136 55661859 60201256 62143232 64085208 65616832 66027184 67667358 67726413 69717884 69850176 69911136 71966848 73818936 74215812 74280582 76200192 80962704 82776727 85446944 90223144 90301884 90787378 93133568 93214848 96127812 98425248 98954416 99040776 101501037 101600256 104576826 104775264 107950272 111323718 120402512 124286464 127927669 128170416 131233664 132054368 135334716 135452826 136181067 139435768 139700352 139822272 143933696 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38031657984 40157501184 42381684224 45030539488 46483137536 47679394752 48170229186 49081390336 49124224896 50659356924 51968530944 52293529728 53543334912 55216564128 56997743616 63572526336 64226972248 65498966528 67545809232 69351846912 69724706304 72255343779 73622085504 73686337344 80315002368 84763368448 88312086841 90061078976 95358789504 96340458372 98162780672 98248449792 101318713848 103937061888 104587059456 110433128256 127145052672 128453944496 130997933056 135091618464 136482316027 139449412608 144510687558 147244171008 147372674688 160630004736 176624173682 180122157952 190717579008 192680916744 196325561344 196496899584 202637427696 209174118912 220866256512 248879517461 254290105344 256907888992 264936260523 270183236928 272964632054 289021375116 294488342016 294745349376 353248347364 360244315904 381435158016 385361833488 392993799168 405274855392 409446948081 418348237824 441732513024 497759034922 513815777984 529872521046 540366473856 545929264108 578042750232 588976684032 589490698752 706496694728 720488631808 746638552383 762870316032 770723666976 794808781569 810549710784 818893896162 883465026048 995518069844 1027631555968 1059745042092 1080732947712 1091858528216 1156085500464 1178981397504 1228340844243 1412993389456 1440977263616 1493277104766 1501305476297 1541447333952 1589617563138 1621099421568 1637787792324 1766930052096 1991036139688 2055263111936 2119490084184 2161465895424 2183717056432 2239915657149 2312171000928 2456681688486 2737674692071 2825986778912 2986554209532 3002610952594 3082894667904 3179235126276 3242198843136 3275575584648 3982072279376 4110526223872 4230951796837 4238980168368 4322931790848 4367434112864 4479831314298 4503916428891 4624342001856 4913363376972 5475349384142 5651973557824 5973108419064 6005221905188 6165789335808 6358470252552 6484397686272 6551151169296 7964144558752 8213024076213 8221052447744 8461903593674 8477960336736 8734868225728 8959662628596 9007832857782 9248684003712 9826726753944 10950698768284 11303947115648 11946216838128 12010443810376 12331578671616 12692855390511 12716940505104 12968795372544 13102302338592 13511749286673 15928289117504 16426048152426 16923807187348 16955920673472 17469736451456 17919325257192 18015665715564 18497368007424 19653453507888 21901397536568 22607894231296 23892433676256 24020887620752 24639072228639 24663157343232 25385710781022 25433881010208 26204604677184 27023498573346 31856578235008 32852096304852 33847614374696 33911841346944 34939472902912 35838650514384 36031331431128 36994736014848 38078566171533 39306907015776 43802795073136 45215788462592 46540469765207 47784867352512 48041775241504 49278144457278 50771421562044 50867762020416 52409209354368 54046997146692 63713156470016 65704192609704 67695228749392 67823682693888 69878945805824 71677301028768 72062662862256 73989472029696 76157132343066 78613814031552 87605590146272 90431576925184 93080939530414 95569734705024 96083550483008 98556288914556 101542843124088 101735524040832 104818418708736 108093994293384 127426312940032 131408385219408 135390457498784 135647365387776 139621409295621 139757891611648 143354602057536 144125325724512 152314264686132 157227628063104 175211180292544 186161879060828 191139469410048 192167100966016 197112577829112 203085686248176 203471048081664 209636837417472 216187988586768 254852625880064 262816770438816 270780914997568 271294730775552 279242818591242 286709204115072 288250651449024 304628529372264 314455256126208 350422360585088 372323758121656 382278938820096 384334201932032 394225155658224 406171372496352 406942096163328 418864227886863 419273674834944 432375977173536 525633540877632 541561829995136 558485637182484 573418408230144 576501302898048 609257058744528 628910512252416 700844721170176 744647516243312 764557877640192 768668403864064 788450311316448 812342744992704 813884192326656 837728455773726 864751954347072 1051267081755264 1083123659990272 1116971274364968 1146836816460288 1153002605796096 1218514117489056 1257821024504832 1401689442340352 1489295032486624 1537336807728128 1576900622632896 1624685489985408 1675456911547452 1729503908694144 2102534163510528 2166247319980544 2233942548729936 2293673632920576 2306005211592192 2437028234978112 2803378884680704 2978590064973248 3153801245265792 3249370979970816 3350913823094904 3459007817388288 4205068327021056 4332494639961088 4467885097459872 4612010423184384 4874056469956224 5957180129946496 6307602490531584 6498741959941632 6701827646189808 6918015634776576 8410136654042112 8935770194919744 9748112939912448 11914360259892992 12615204981063168 12997483919883264 13403655292379616 13836031269553152 17871540389839488 19496225879824896 23828720519785984 25230409962126336 26807310584759232 35743080779678976 38992451759649792 47657441039571968 53614621169518464 71486161559357952 107229242339036928 142972323118715904 214458484678073856 428916969356147712
• Sum of all divisors σ(n): 1476751113336305664
• Sum of proper divisors (its aliquot sum) s(n): 1047834143980157952
• 428916969356147712 is an abundant number, because the sum of its proper divisors (1047834143980157952) is greater than itself. Its abundance is 618917174624010240

Bases of 428916969356147712

• Binary: 10111110011110100011011011000001100100111000011110000000000₂
• Hexadecimal: 0x5F3D1B60C9C3C00
• Base-36: 39BADJJ2OE80

Squares and roots of 428916969356147712

• 428916969356147712 squared (428916969356147712²) is 183969766601662555421491048762834944
• 428916969356147712 cubed (428916969356147712³) is 78907754743942945084536592605423596673128831939248128
• The square root of 428916969356147712 is 654917528.6676542391
• The cube root of 428916969356147712 is 754150.0130450267

Scales and comparisons

• 428,916,969,356,147,712 seconds is equal to 13,638,232,898 years, 11 weeks, 6 days, 9 hours, 55 minutes, 12 seconds.
• To count from 1 to 428,916,969,356,147,712 would take you about forty billion, nine hundred fourteen million, six hundred ninety-eight thousand, six hundred ninety-four 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 428916969356147712 cubic inches would be around 62845.8 feet tall.

Recreational maths with 428916969356147712

• 428916969356147712 backwards is 217741653969619824
• The number of decimal digits it has is: 18
• The sum of 428916969356147712's digits is 90
• More coming soon!