428825344541431808

Names of 428825344541431808

• Cardinal: 428825344541431808 can be written as Four hundred twenty-eight quadrillion, eight hundred twenty-five trillion, three hundred forty-four billion, five hundred forty-one million, four hundred thirty-one thousand, eight hundred eight.

Scientific notation

• Scientific notation: 4.28825344541431808 × 10¹⁷

Factors of 428825344541431808

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 844

Divisors of 428825344541431808

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 4 8 16 19 31 32 38 62 64 76 124 128 152 173 248 256 304 346 496 512 589 608 619 692 961 992 1024 1178 1216 1238 1384 1922 1984 2048 2356 2432 2476 2768 3287 3844 3968 4712 4864 4952 5363 5536 6574 7688 7936 9424 9728 9904 10726 11072 11761 13148 15376 15872 18259 18848 19189 19456 19808 21452 22144 23522 26296 29929 30752 31744 36518 37696 38378 38912 39616 42904 44288 47044 52592 59858 61504 63488 73036 75392 76756 79232 85808 88576 94088 101897 105184 107087 119716 123008 146072 150784 153512 158464 166253 171616 177152 188176 203794 210368 214174 239432 246016 292144 301568 307024 316928 332506 343232 354304 364591 376352 383161 407588 420736 428348 478864 492032 568651 584288 594859 603136 614048 633856 665012 686464 729182 752704 766322 815176 841472 856696 927799 957728 984064 1137302 1168576 1189718 1206272 1228096 1267712 1330024 1372928 1458364 1505408 1532644 1630352 1682944 1713392 1855598 1915456 1968128 2034653 2274604 2337152 2379436 2456192 2660048 2745856 2916728 3010816 3065288 3158807 3260704 3319697 3365888 3426784 3711196 3830912 4069306 4549208 4674304 4758872 4912384 5320096 5491712 5833456 6021632 6130576 6317614 6521408 6639394 6731776 6853568 7280059 7422392 7661824 8138612 9098416 9348608 9517744 9824768 10640192 10983424 11302321 11666912 11877991 12043264 12261152 12635228 13042816 13278788 13707136 14560118 14844784 15323648 16277224 17628181 18196832 18526051 18697216 19035488 19649536 21280384 22604642 23333824 23755982 24086528 24522304 25270456 26085632 26557576 27414272 28761769 29120236 29689568 30647296 32554448 35256362 36393664 37052102 37394432 38070976 39299072 42560768 45209284 46667648 47511964 49044608 50540912 52171264 53115152 54828544 57523538 58240472 59379136 61294592 63074243 65108896 66286853 70512724 72787328 74104204 76141952 85121536 90418568 93335296 95023928 98089216 101081824 102910607 104342528 106230304 109657088 115047076 116480944 118758272 126148486 130217792 132573706 141025448 145574656 148208408 152283904 170243072 180837136 186670592 190047856 196178432 202163648 205821214 208685056 212460608 219314176 225681829 230094152 232961888 237516544 252296972 260435584 265147412 282050896 291149312 296416816 304567808 340486144 351994969 361674272 368217721 373341184 380095712 392356864 404327296 411642428 424921216 451363658 460188304 465923776 475033088 504593944 520871168 530294824 546473611 564101792 574307581 582298624 592833632 609135616 703989938 723348544 736435442 746682368 760191424 784713728 808654592 823284856 849842432 902727316 920376608 931847552 950066176 1009187888 1041742336 1060589648 1092947222 1128203584 1148615162 1164597248 1185667264 1218271232 1259450207 1407979876 1446697088 1472870884 1520382848 1617309184 1646569712 1699684864 1805454632 1840753216 1863695104 1900132352 1955301533 2018375776 2054892443 2083484672 2121179296 2185894444 2256407168 2297230324 2371334528 2518900414 2815959752 2893394176 2945741768 3040765696 3234618368 3293139424 3399369728 3610909264 3681506432 3727390208 3910603066 4036751552 4109784886 4166969344 4242358592 4371788888 4512814336 4594460648 4742669056 5037800828 5631919504 5786788352 5891483536 6081531392 6469236736 6586278848 6798739456 6996136699 7221818528 7363012864 7454780416 7821206132 8073503104 8219569772 8484717184 8743577776 9025628672 9188921296 9485338112 10075601656 10911844039 11263839008 11467625569 11573576704 11782967072 12163062784 13172557696 13992273398 14443637056 14726025728 14909560832 15642412264 16147006208 16439139544 16969434368 17487155552 17803535011 18051257344 18377842592 18970676224 20151203312 21823688078 22527678016 22935251138 23147153408 23565934144 24326125568 26345115392 27984546796 28887274112 29452051456 31284824528 32294012416 32878279088 33938868736 34974311104 35607070022 36102514688 36755685184 37941352448 39042956417 40302406624 43647376156 45055356032 45870502276 47131868288 52690230784 55969093592 57774548224 58904102912 62569649056 63701665733 64588024832 65756558176 67877737472 69948622208 71214140044 73511370368 78085912834 80604813248 87294752312 90110712064 91741004552 94263736576 105380461568 111938187184 115549096448 125139298112 127403331466 129176049664 131513116352 135755474944 139897244416 142428280088 147022740736 156171825668 161209626496 174589504624 180221424128 183482009104 188527473152 210760923136 217884885811 223876374368 231098192896 250278596224 254806662932 263026232704 279794488832 284856560176 294045481472 312343651336 322419252992 338267165209 349179009248 355496392639 360442848256 366964018208 377054946304 435769771622 447752748736 462196385792 500557192448 509613325864 526052465408 559588977664 569713120352 588090962944 624687302672 644838505984 676534330418 698358018496 710992785278 720885696512 733928036416 754109892608 871539543244 895505497472 1001114384896 1019226651728 1052104930816 1119177955328 1139426240704 1176181925888 1210331648927 1249374605344 1289677011968 1353068660836 1396716036992 1421985570556 1467856072832 1743079086488 1791010994944 2002228769792 2038453303456 2104209861632 2278852481408 2420663297854 2498749210688 2579354023936 2706137321672 2793432073984 2843971141112 2935712145664 3486158172976 3582021989888 4004457539584 4076906606912 4208419723264 4557704962816 4841326595708 4997498421376 5412274643344 5586864147968 5687942282224 5871424291328 6754431460141 6972316345952 7164043979776 8153813213824 9115409925632 9682653191416 9994996842752 10824549286688 11020388171809 11173728295936 11375884564448 11742848582656 13508862920282 13944632691904 14328087959552 16307626427648 18230819851264 19365306382832 19989993685504 21649098573376 22040776343618 22347456591872 22751769128896 23485697165312 27017725840564 27889265383808 32615252855296 36461639702528 38730612765664 39979987371008 43298197146752 44081552687236 45503538257792 54035451681128 55778530767616 65230505710592 77461225531328 79959974742016 86596394293504 88163105374472 91007076515584 108070903362256 111557061535232 130461011421184 154922451062656 173192788587008 176326210748944 182014153031168 209387375264371 216141806724512 223114123070464 309844902125312 346385577174016 352652421497888 364028306062336 418774750528742 432283613449024 446228246140928 619689804250624 692771154348032 705304842995776 728056612124672 837549501057484 864567226898048 1239379608501248 1410609685991552 1675099002114968 1729134453796096 2478759217002496 2821219371983104 3350198004229936 3458268907592192 5642438743966208 6700396008459872 6916537815184384 11284877487932416 13400792016919744 13833075630368768 22569754975864832 26801584033839488 53603168067678976 107206336135357952 214412672270715904 428825344541431808
• Sum of all divisors σ(n): 939564066733028100
• Sum of proper divisors (its aliquot sum) s(n): 510738722191596292
• 428825344541431808 is an abundant number, because the sum of its proper divisors (510738722191596292) is greater than itself. Its abundance is 81913377650164484

Bases of 428825344541431808

• Binary: 10111110011011111100110000011111100000100111001100000000000₂
• Hexadecimal: 0x5F37E60FC139800
• Base-36: 39ADWBO5OF7K

Squares and roots of 428825344541431808

• 428825344541431808 squared (428825344541431808²) is 183891176121077698929432306714148864
• 428825344541431808 cubed (428825344541431808³) is 78857196958250261856623766091250594509861374616666112
• The square root of 428825344541431808 is 654847573.5172512709
• The cube root of 428825344541431808 is 754096.3089631877

Scales and comparisons

• 428,825,344,541,431,808 seconds is equal to 13,635,319,512 years, 27 weeks, 5 days, 20 hours, 50 minutes, 8 seconds.
• To count from 1 to 428,825,344,541,431,808 would take you about forty billion, nine hundred five million, nine hundred fifty-eight thousand, five hundred thirty-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 428825344541431808 cubic inches would be around 62841.4 feet tall.

Recreational maths with 428825344541431808

• 428825344541431808 backwards is 808134145443528824
• The number of decimal digits it has is: 18
• The sum of 428825344541431808's digits is 74
• More coming soon!