464028857417216

Names of 464028857417216

• Cardinal: 464028857417216 can be written as Four hundred sixty-four trillion, twenty-eight billion, eight hundred fifty-seven million, four hundred seventeen thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 4.64028857417216 × 10¹⁴

Factors of 464028857417216

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 3370

Divisors of 464028857417216

• Number of divisors d(n): 1280
• Complete list of divisors:
  1 2 4 7 8 13 14 16 23 26 28 32 41 46 49 52 56 64 67 82 91 92 98 104 112 128 134 161 164 182 184 196 208 224 256 268 287 299 322 328 343 364 368 392 416 448 469 512 533 536 574 598 637 644 656 686 728 736 784 832 871 896 938 943 1066 1072 1127 1148 1196 1274 1288 1312 1372 1456 1472 1541 1568 1664 1742 1792 1876 1886 2009 2093 2132 2144 2254 2296 2392 2548 2576 2624 2744 2747 2912 2944 3082 3136 3217 3283 3328 3484 3584 3731 3752 3772 4018 4186 4264 4288 4459 4508 4592 4784 5096 5152 5248 5488 5494 5824 5888 6097 6164 6272 6434 6566 6601 6656 6968 7462 7504 7544 7889 8036 8372 8528 8576 8918 9016 9184 9568 10192 10304 10496 10787 10976 10988 11648 11776 12194 12259 12328 12544 12868 13132 13202 13936 14063 14651 14924 15008 15088 15778 16072 16744 17056 17152 17836 18032 18368 19136 19229 20033 20384 20608 20992 21574 21952 21976 22519 22981 23296 24388 24518 24656 25088 25736 26117 26264 26404 27872 28126 29302 29848 30016 30176 31556 32144 33488 34112 34304 35672 35711 36064 36736 38272 38458 40066 40768 41216 41821 42679 43148 43904 43952 45038 45962 46207 46592 48776 49036 49312 51472 52234 52528 52808 55744 56252 58604 59696 60032 60352 63112 63181 64288 66976 68224 71344 71422 72128 73472 73991 75509 76544 76916 80132 81536 82432 83642 85358 85813 86296 87808 87904 90076 91924 92414 97552 98072 98624 102557 102944 104468 105056 105616 111488 112504 117208 119392 120064 120704 126224 126362 128576 131897 133952 134603 136448 140231 142688 142844 144256 146944 147982 151018 153088 153832 157633 160264 163072 167284 170716 171626 172592 175616 175808 180152 182819 183848 184828 195104 196144 197248 205114 205888 208936 210112 211232 215539 222976 225008 234416 238784 240128 241408 249977 252448 252724 257152 263794 267904 269206 272896 280462 285376 285688 288512 292747 295964 298753 302036 307664 315266 320528 323449 326144 334568 341432 343252 345184 351616 360304 365638 367696 369656 390208 392288 394496 410228 411776 417872 420224 422464 431078 442267 445952 450016 468832 477568 482816 499954 504896 505448 514304 517937 527588 528563 535808 538412 560924 570752 571376 577024 585494 591928 597506 600691 604072 615328 630532 641056 646898 669136 682864 686504 690368 703232 720608 731276 735392 739312 780416 784576 788992 820456 821353 823552 835744 840448 844928 862156 884534 900032 923279 937664 942221 955136 961883 981617 999908 1009792 1010896 1028608 1035874 1055176 1057126 1071616 1076824 1103431 1121848 1141504 1142752 1170988 1183856 1195012 1201382 1208144 1230656 1261064 1282112 1293796 1338272 1365728 1373008 1380736 1406464 1441216 1462552 1470784 1478624 1508773 1560832 1569152 1640912 1642706 1647104 1671488 1680896 1689856 1714661 1724312 1749839 1769068 1800064 1846558 1875328 1884442 1910272 1923766 1963234 1999816 2019584 2021792 2049229 2071748 2110352 2114252 2153648 2206862 2243696 2283008 2285504 2341976 2367712 2390024 2402764 2416288 2461312 2522128 2564224 2587592 2676544 2731456 2746016 2761472 2802007 2882432 2925104 2941568 2957248 3017546 3033631 3095869 3121664 3138304 3281824 3285412 3342976 3379712 3429322 3448624 3499678 3538136 3600128 3625559 3693116 3750656 3768884 3847532 3926468 3999632 4039168 4043584 4098458 4143496 4204837 4220704 4228504 4307296 4413724 4487392 4571008 4683952 4735424 4780048 4805528 4832576 4922624 4957397 5044256 5128448 5175184 5353088 5462912 5492032 5522944 5604014 5749471 5764864 5850208 5883136 5914496 6035092 6067262 6191738 6276608 6462953 6563648 6570824 6685952 6733181 6858644 6871319 6897248 6999356 7076272 7200256 7251118 7386232 7501312 7537768 7695064 7852936 7999264 8087168 8196916 8286992 8409674 8441408 8457008 8614592 8827448 8837099 8974784 9142016 9367904 9470848 9560096 9611056 9665152 9845248 9914794 10088512 10256896 10350368 10561411 10706176 10925824 10984064 11208028 11498942 11529728 11700416 11766272 11828992 12002627 12070184 12134524 12248873 12383476 12925906 13127296 13141648 13371904 13466362 13717288 13742638 13794496 13998712 14152544 14344603 14502236 14772464 15075536 15390128 15705872 15998528 16174336 16393832 16573984 16819348 16882816 16914016 17229184 17654896 17674198 17949568 18284032 18735808 18941696 19120192 19222112 19330304 19614049 19829588 20177024 20700736 21122822 21235417 21412352 21671083 21851648 21968128 22416056 22997884 23400832 23657984 24005254 24140368 24269048 24497746 24766952 25378913 25851812 26254592 26283296 26932724 27434576 27485276 27588992 27997424 28305088 28689206 29004472 29544928 30151072 30780256 31411744 31997056 32348672 32787664 33147968 33638696 33765632 33828032 34458368 34701779 35309792 35348396 35899136 37471616 37883392 38240384 38444224 38660608 39228098 39437203 39659176 40246297 40354048 41401472 42245644 42470834 43342166 43936256 44832112 45240671 45995768 46801664 47132267 48010508 48280736 48538096 48995492 49533904 50757826 51703624 52509184 52566592 53865448 54869152 54970552 55177984 55994848 56610176 57378412 58008944 59089856 60302144 61560512 61859693 62823488 63994112 64446161 65575328 66295936 67277392 67531264 67656064 68916736 69403558 70619584 70696792 71798272 73929877 74943232 76480768 76888448 78456196 78874406 79318352 80492594 80708096 82802944 84018389 84491288 84941668 86684332 89664224 90481342 91991536 93603328 94264534 96021016 96561472 97076192 97990984 99067808 101515652 103407248 105133184 107730896 109738304 109941104 110355968 111989696 113220352 114756824 114882287 116017888 118179712 120604288 123121024 123719386 125646976 127988224 128892322 131150656 132591872 134554784 135312128 137298343 138807116 141239168 141393584 147859754 148647919 149886464 152961536 153776896 156912392 157748812 158636704 160985188 165605888 168036778 168982576 169883336 173368664 179328448 180962684 183983072 188529068 192042032 193122944 194152384 195981968 198135616 203031304 203253277 206814496 210266368 215461792 219476608 219882208 223979392 226440704 229513648 229764574 232035776 236359424 241208576 242912453 246242048 247438772 251293952 257784644 262301312 265183744 269109568 270624256 274596686 276060421 277614232 281724079 282478336 282787168 295719508 297295838 307553792 313824784 315497624 317273408 321970376 329925869 336073556 337965152 339766672 346737328 358656896 361925368 367966144 377058136 384084064 386245888 388304768 391963936 396271232 406062608 406506554 413628992 420532736 430923584 433017851 438953216 439764416 447958784 451123127 459027296 459529148 464071552 472718848 482417152 485824906 492484096 494877544 502587904 515569288 524602624 538219136 549193372 552120842 555228464 563448158 564956672 565574336 588128723 591439016 594591676 627649568 630995248 634546816 643940752 659851738 672147112 675930304 679533344 693474656 717313792 723850736 735932288 754116272 768168128 772491776 776609536 783927872 792542464 804176009 812125216 813013108 827257984 861847168 866035702 877906432 879528832 895917568 902246254 918054592 919058296 928143104 961088401 971649812 989755088 1031138576 1040535433 1049205248 1076438272 1098386744 1104241684 1110456928 1126896316 1131148672 1176257446 1182878032 1189183352 1255299136 1261990496 1269093632 1287881504 1319703476 1344294224 1351860608 1359066688 1386949312 1422772939 1434627584 1447701472 1471864576 1508232544 1536336256 1553219072 1567855744 1585084928 1608352018 1624250432 1626026216 1654515968 1700387171 1723694336 1732071404 1759057664 1804492508 1836109184 1838116592 1856286208 1922176802 1932422947 1943299624 1979510176 2062277152 2081070866 2152876544 2196773488 2208483368 2220913856 2253792632 2262297344 2352514892 2365756064 2378366704 2510598272 2523980992 2538187264 2575763008 2639406952 2642292601 2688588448 2703721216 2718133376 2773898624 2845545878 2895402944 2943729152 3016465088 3031124957 3072672512 3135711488 3157861889 3216704036 3248500864 3252052432 3309031936 3400774342 3447388672 3464142808 3518115328 3608985016 3672218368 3676233184 3844353604 3864845894 3886599248 3959020352 4124554304 4162141732 4393546976 4416966736 4441827712 4507585264 4524594688 4705029784 4731512128 4756733408 5021196544 5047961984 5151526016 5278813904 5284585202 5377176896 5407442432 5436266752 5547797248 5629232063 5691091756 5790805888 6032930176 6062249914 6145345024 6271422976 6315723778 6433408072 6497001728 6504104864 6801548684 6928285616 7217970032 7344436736 7352466368 7688707208 7729691788 7773198496 7918040704 8249108608 8324283464 8787093952 8833933472 8883655424 9015170528 9410059568 9463024256 9513466816 9959410573 10042393088 10095923968 10303052032 10557627808 10569170404 10754353792 10872533504 11095594496 11258464126 11382183512 11581611776 12065860352 12124499828 12631447556 12866816144 12994003456 13008209728 13526960629 13603097368 13856571232 14435940064 14704932736 15377414416 15459383576 15546396992 15836081408 16498217216 16648566928 17574187904 17667866944 17767310848 18030341056 18496048207 18820119136 18926048512 19026933632 19918821146 20191847936 20606104064 21115255616 21138340808 21508707584 22105033223 22516928252 22764367024 23163223552 24131720704 24248999656 25262895112 25733632288 26016419456 27053921258 27206194736 27713142464 28871880128 29409865472 30754828832 30918767152 31092793984 31672162816 32996434432 33297133856 35148375808 35335733888 36060682112 36992096414 37640238272 37852097024 38053867264 39404624441 39837642292 42230511232 42276681616 43017415168 44210066446 45033856504 45528734048 48497999312 50525790224 51467264576 52032838912 54107842516 54412389472 55426284928 57743760256 58819730944 61509657664 61837534304 62185587968 66594267712 69715874011 70296751616 70671467776 72121364224 73984192828 75280476544 76107734528 78809248882 79675284584 84461022464 84553363232 88420132892 90067713008 91057468096 96995998624 101051580448 102934529152 104065677824 108215685032 108824778944 110852569856 115487520512 123019315328 123675068608 124371175936 129472337449 133188535424 139431748022 141342935552 144242728448 147968385656 150560953088 157618497764 159350569168 168922044928 169106726464 176840265784 180135426016 182114936192 193991997248 202103160896 205869058304 216431370064 217649557888 221705139712 230975041024 246038630656 247350137216 258944674898 266377070848 278863496044 295936771312 301121906176 315236995528 318701138336 338213452928 353680531568 360270852032 364229872384 387983994496 404206321792 411738116608 432862740128 435299115776 492077261312 494700274432 517889349796 532754141696 557726992088 591873542624 630473991056 637402276672 676426905856 707361063136 720541704064 728459744768 775967988992 808412643584 865725480256 870598231552 906306362143 989400548864 1035778699592 1115453984176 1183747085248 1260947982112 1274804553344 1352853811712 1414722126272 1441083408128 1551935977984 1616825287168 1731450960512 1812612724286 2071557399184 2230907968352 2367494170496 2521895964224 2549609106688 2829444252544 2882166816256 3462901921024 3625225448572 4143114798368 4461815936704 4734988340992 5043791928448 5099218213376 5658888505088 6925803842048 7250450897144 8286229596736 8923631873408 9469976681984 10087583856896 11317777010176 14500901794288 16572459193472 17847263746816 20175167713792 29001803588576 33144918386944 35694527493632 58003607177152 66289836773888 116007214354304 232014428708608 464028857417216
• Sum of all divisors σ(n): 1263627722649600
• Sum of proper divisors (its aliquot sum) s(n): 799598865232384
• 464028857417216 is an abundant number, because the sum of its proper divisors (799598865232384) is greater than itself. Its abundance is 335570007815168

Bases of 464028857417216

• Binary: 1101001100000100000100011001101100011111000000000₂
• Hexadecimal: 0x1A60823363E00
• Base-36: 4KHFWWU3NK

Squares and roots of 464028857417216

• 464028857417216 squared (464028857417216²) is 215322780515926976378293190656
• 464028857417216 cubed (464028857417216³) is 99915983818703574340018378247632732024733696
• The square root of 464028857417216 is 21541329.0541047165
• The cube root of 464028857417216 is 77419.1377146617

Scales and comparisons

• 464,028,857,417,216 seconds is equal to 14,754,682 years, 17 weeks, 1 day, 6 hours, 6 minutes, 56 seconds.
• To count from 1 to 464,028,857,417,216 would take you about thirty-six million, eight hundred eighty-six thousand, seven hundred five 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 464028857417216 cubic inches would be around 6451.6 feet tall.

Recreational maths with 464028857417216

• 464028857417216 backwards is 612714758820464
• The number of decimal digits it has is: 15
• The sum of 464028857417216's digits is 65
• More coming soon!