428465629691904
428,465,629,691,904 is an even composite number composed of five prime numbers multiplied together.
What does the number 428465629691904 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 960 divisors.
428465629691904 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 428465629691904:
219 × 3 × 7 × 173 × 892
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 17 × 17 × 17 × 89 × 89)See below for interesting mathematical facts about the number 428465629691904 from the Numbermatics database.
Names of 428465629691904
- Cardinal: 428465629691904 can be written as Four hundred twenty-eight trillion, four hundred sixty-five billion, six hundred twenty-nine million, six hundred ninety-one thousand, nine hundred four.
Scientific notation
- Scientific notation: 4.28465629691904 × 1014
Factors of 428465629691904
Divisors of 428465629691904
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 89 96 102 112 119 128 136 168 178 192 204 224 238 256 267 272 289 336 356 357 384 408 448 476 512 534 544 578 623 672 712 714 768 816 867 896 952 1024 1068 1088 1156 1246 1344 1424 1428 1513 1536 1632 1734 1792 1869 1904 2023 2048 2136 2176 2312 2492 2688 2848 2856 3026 3072 3264 3468 3584 3738 3808 4046 4096 4272 4352 4539 4624 4913 4984 5376 5696 5712 6052 6069 6144 6528 6936 7168 7476 7616 7921 8092 8192 8544 8704 9078 9248 9826 9968 10591 10752 11392 11424 12104 12138 12288 13056 13872 14336 14739 14952 15232 15842 16184 16384 17088 17408 18156 18496 19652 19936 21182 21504 22784 22848 23763 24208 24276 24576 25721 26112 27744 28672 29478 29904 30464 31684 31773 32368 32768 34176 34391 34816 36312 36992 39304 39872 42364 43008 45568 45696 47526 48416 48552 49152 51442 52224 55447 55488 57344 58956 59808 60928 63368 63546 64736 65536 68352 68782 69632 72624 73984 77163 78608 79744 84728 86016 91136 91392 95052 96832 97104 98304 102884 103173 104448 110894 110976 114688 117912 119616 121856 126736 127092 129472 131072 134657 136704 137564 139264 145248 147968 154326 157216 159488 166341 169456 172032 180047 182272 182784 190104 193664 194208 196608 205768 206346 208896 221788 221952 229376 235824 239232 243712 253472 254184 258944 262144 269314 273408 275128 278528 290496 295936 308652 314432 318976 332682 338912 344064 360094 364544 365568 380208 387328 388416 393216 403971 411536 412692 417792 437257 443576 443904 458752 471648 478464 487424 506944 508368 517888 524288 538628 540141 546816 550256 557056 580992 591872 617304 628864 637952 665364 677824 688128 720188 729088 731136 760416 774656 776832 786432 807942 823072 825384 835584 874514 887152 887808 917504 942599 943296 956928 974848 1013888 1016736 1035776 1077256 1080282 1093632 1100512 1114112 1161984 1183744 1234608 1257728 1275904 1311771 1330728 1355648 1376256 1440376 1458176 1462272 1520832 1549312 1553664 1572864 1615884 1646144 1650768 1671168 1749028 1774304 1775616 1835008 1885198 1886592 1913856 1949696 2027776 2033472 2071552 2154512 2160564 2187264 2201024 2228224 2289169 2323968 2367488 2469216 2515456 2551808 2623542 2661456 2711296 2752512 2827797 2880752 2916352 2924544 3041664 3060799 3098624 3107328 3231768 3292288 3301536 3342336 3498056 3548608 3551232 3670016 3770396 3773184 3827712 3899392 4055552 4066944 4143104 4309024 4321128 4374528 4402048 4456448 4578338 4647936 4734976 4938432 5030912 5103616 5247084 5322912 5422592 5505024 5655594 5761504 5832704 5849088 6083328 6121598 6197248 6214656 6463536 6584576 6603072 6684672 6867507 6996112 7097216 7102464 7540792 7546368 7655424 7798784 8111104 8133888 8286208 8618048 8642256 8749056 8804096 8912896 9156676 9182397 9295872 9469952 9876864 10061824 10207232 10494168 10645824 10845184 11010048 11311188 11523008 11665408 11698176 12166656 12243196 12394496 12429312 12927072 13169152 13206144 13369344 13735014 13992224 14194432 14204928 15081584 15092736 15310848 15597568 16024183 16222208 16267776 16572416 17236096 17284512 17498112 17608192 18313352 18364794 18591744 18939904 19753728 20123648 20414464 20988336 21291648 21690368 22622376 23046016 23330816 23396352 24333312 24486392 24788992 24858624 25854144 26338304 26412288 26738688 27470028 27984448 28388864 28409856 30163168 30185472 30621696 31195136 32048366 32444416 32535552 33144832 34472192 34569024 34996224 35216384 36626704 36729588 37183488 37879808 38915873 39507456 40247296 40828928 41976672 42583296 43380736 45244752 46092032 46661632 46792704 48072549 48666624 48972784 49577984 49717248 51708288 52676608 52824576 54940056 55968896 56777728 56819712 60326336 60370944 61243392 62390272 64096732 64888832 65071104 66289664 68944384 69138048 69992448 70432768 73253408 73459176 74366976 75759616 77831746 79014912 80494592 81657856 83953344 85166592 86761472 90489504 92184064 93585408 96145098 97333248 97945568 99155968 99434496 103416576 105353216 105649152 109880112 111937792 113555456 113639424 116747619 120652672 120741888 122486784 128193464 129777664 130142208 132579328 137888768 138276096 139984896 140865536 146506816 146918352 148733952 151519232 155663492 158029824 160989184 163315712 167906688 170333184 173522944 180979008 184368128 187170816 192290196 194666496 195891136 198311936 198868992 206833152 210706432 211298304 219760224 223875584 227110912 227278848 233495238 241305344 241483776 244973568 256386928 259555328 260284416 265158656 272411111 275777536 276552192 281731072 293013632 293836704 297467904 311326984 316059648 321978368 326631424 335813376 340666368 347045888 361958016 368736256 384580392 389332992 391782272 396623872 397737984 413666304 421412864 422596608 439520448 447751168 454221824 454557696 466990476 482610688 482967552 489947136 512773856 519110656 520568832 530317312 544822222 551555072 553104384 563462144 586027264 587673408 594935808 622653968 632119296 643956736 671626752 681332736 694091776 723916032 737472512 769160784 778665984 783564544 793247744 795475968 817233333 827332608 842825728 845193216 879040896 895502336 908443648 933980952 965221376 965935104 979894272 1025547712 1038221312 1041137664 1060634624 1089644444 1103110144 1106208768 1126924288 1172054528 1175346816 1189871616 1245307936 1264238592 1287913472 1343253504 1362665472 1388183552 1447832064 1474945024 1538321568 1557331968 1567129088 1590951936 1634466666 1654665216 1685651456 1690386432 1758081792 1791004672 1816887296 1867961904 1930442752 1931870208 2051095424 2076442624 2082275328 2179288888 2206220288 2212417536 2253848576 2344109056 2350693632 2379743232 2490615872 2528477184 2575826944 2686507008 2725330944 2776367104 2895664128 2949890048 3076643136 3114663936 3134258176 3181903872 3268933332 3309330432 3371302912 3380772864 3516163584 3582009344 3633774592 3735923808 3860885504 3863740416 4102190848 4152885248 4164550656 4358577776 4412440576 4424835072 4507697152 4688218112 4701387264 4981231744 5056954368 5373014016 5450661888 5552734208 5791328256 5899780096 6153286272 6229327872 6268516352 6537866664 6618660864 6742605824 6761545728 7032327168 7164018688 7267549184 7471847616 7721771008 7727480832 8204381696 8329101312 8717155552 8824881152 8849670144 9015394304 9376436224 9402774528 9962463488 10113908736 10746028032 10901323776 11582656512 11799560192 12306572544 12458655744 12537032704 13075733328 13237321728 13485211648 13523091456 14064654336 14328037376 14535098368 14943695232 15443542016 16408763392 16658202624 17434311104 17649762304 17699340288 18030788608 18752872448 18805549056 19924926976 20227817472 21492056064 21802647552 23165313024 23599120384 24613145088 25074065408 26151466656 26474643456 27046182912 28129308672 28656074752 29070196736 29887390464 30887084032 32817526784 34868622208 35299524608 35398680576 37505744896 37611098112 39849853952 40455634944 42984112128 43605295104 46330626048 47198240768 49226290176 50148130816 52302933312 52949286912 54092365824 56258617344 57312149504 59774780928 61774168064 65635053568 69737244416 70599049216 70797361152 75011489792 75222196224 79699707904 85968224256 87210590208 92661252096 94396481536 98452580352 100296261632 104605866624 105898573824 112517234688 114624299008 119549561856 123548336128 131270107136 139474488832 141594722304 150022979584 150444392448 159399415808 171936448512 185322504192 196905160704 200592523264 209211733248 211797147648 225034469376 229248598016 239099123712 247096672256 262540214272 278948977664 283189444608 300045959168 300888784896 318798831616 343872897024 370645008384 393810321408 401185046528 418423466496 450068938752 478198247424 494193344512 525080428544 557897955328 600091918336 601777569792 637597663232 687745794048 741290016768 787620642816 802370093056 836846932992 900137877504 956396494848 1050160857088 1115795910656 1200183836672 1203555139584 1275195326464 1482580033536 1575241285632 1604740186112 1673693865984 1800275755008 1912792989696 2100321714176 2231591821312 2407110279168 2550390652928 3150482571264 3347387731968 3600551510016 3825585979392 4200643428352 4463183642624 4814220558336 5100781305856 6300965142528 6694775463936 7651171958784 8401286856704 8926367285248 10201562611712 12601930285056 13389550927872 15302343917568 17852734570496 20403125223424 25203860570112 26779101855744 30604687835136 35705469140992 53558203711488 61209375670272 71410938281984 107116407422976 142821876563968 214232814845952 428465629691904
- Sum of all divisors σ(n): 1403158437648000
- Sum of proper divisors (its aliquot sum) s(n): 974692807956096
- 428465629691904 is an abundant number, because the sum of its proper divisors (974692807956096) is greater than itself. Its abundance is 546227178264192
Bases of 428465629691904
- Binary: 11000010110101111111011011010100000000000000000002
- Hexadecimal: 0x185AFEDA80000
- Base-36: 47VME59HXC
Squares and roots of 428465629691904
- 428465629691904 squared (4284656296919042) is 183582795827279806613963145216
- 428465629691904 cubed (4284656296919043) is 78658918214735688463928286513219336891531264
-
The
square root of 428465629691904 is 20699411.3368449201 -
The
cube root of 428465629691904 is 75388.5395183075
Scales and comparisons
How big is 428465629691904?- 428,465,629,691,904 seconds is equal to 13,623,881 years, 36 weeks, 5 hours, 58 minutes, 24 seconds.
-
To count from 1 to 428,465,629,691,904 would take you about thirty-four million, fifty-nine thousand, seven hundred 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 428465629691904 cubic inches would be around 6282.4 feet tall.
Recreational maths with 428465629691904
- 428465629691904 backwards is 409196926564824
- The number of decimal digits it has is: 15
- The sum of 428465629691904's digits is 75
- More coming soon!
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The information we have on file for 428465629691904 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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