428132961392640
428,132,961,392,640 is an even composite number composed of seven prime numbers multiplied together.
What does the number 428132961392640 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
428132961392640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 428132961392640:
211 × 3 × 5 × 72 × 37 × 41 × 4332
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 37 × 41 × 433 × 433)See below for interesting mathematical facts about the number 428132961392640 from the Numbermatics database.
Names of 428132961392640
- Cardinal: 428132961392640 can be written as Four hundred twenty-eight trillion, one hundred thirty-two billion, nine hundred sixty-one million, three hundred ninety-two thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.2813296139264 × 1014
Factors of 428132961392640
Divisors of 428132961392640
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 37 40 41 42 48 49 56 60 64 70 74 80 82 84 96 98 105 111 112 120 123 128 140 147 148 160 164 168 185 192 196 205 210 222 224 240 245 246 256 259 280 287 294 296 320 328 336 370 384 392 410 420 433 444 448 480 490 492 512 518 555 560 574 588 592 615 640 656 672 735 740 768 777 784 820 840 861 866 888 896 960 980 984 1024 1036 1110 1120 1148 1176 1184 1230 1280 1295 1299 1312 1344 1435 1470 1480 1517 1536 1554 1568 1640 1680 1722 1732 1776 1792 1813 1920 1960 1968 2009 2048 2072 2165 2220 2240 2296 2352 2368 2460 2560 2590 2598 2624 2688 2870 2940 2960 3031 3034 3072 3108 3136 3280 3360 3444 3464 3552 3584 3626 3840 3885 3920 3936 4018 4144 4305 4330 4440 4480 4551 4592 4704 4736 4920 5120 5180 5196 5248 5376 5439 5740 5880 5920 6027 6062 6068 6144 6216 6272 6495 6560 6720 6888 6928 7104 7168 7252 7585 7680 7770 7840 7872 8036 8288 8610 8660 8880 8960 9065 9093 9102 9184 9408 9472 9840 10045 10240 10360 10392 10496 10619 10752 10878 11480 11760 11840 12054 12124 12136 12432 12544 12990 13120 13440 13776 13856 14208 14336 14504 15155 15170 15360 15540 15680 15744 16021 16072 16576 17220 17320 17753 17760 17920 18130 18186 18204 18368 18816 18944 19680 20090 20720 20784 20992 21217 21238 21504 21756 22755 22960 23520 23680 24108 24248 24272 24864 25088 25980 26240 26880 27195 27552 27712 28416 29008 30135 30310 30340 30720 31080 31360 31488 31857 32042 32144 33152 34440 34640 35506 35520 35840 36260 36372 36408 36736 37632 37888 39360 40180 41440 41568 41984 42434 42476 43008 43512 45465 45510 45920 47040 47360 48063 48216 48496 48544 49728 50176 51960 52480 53095 53259 53760 54390 55104 55424 56832 58016 60270 60620 60680 62160 62720 62976 63651 63714 64084 64288 66304 68880 69280 71012 71040 71680 72520 72744 72816 73472 74333 75264 75776 78720 80105 80360 82880 83136 83968 84868 84952 87024 88765 90930 91020 91840 94080 94720 96126 96432 96992 97088 99456 100352 103920 104960 106085 106190 106518 107520 108780 110208 110848 112147 113664 116032 120540 121240 121360 124271 124320 125440 125952 127302 127428 128168 128576 132608 137760 138560 142024 142080 145040 145488 145632 146944 148666 150528 157440 159285 160210 160720 165760 166272 169736 169904 174048 177530 181860 182040 183680 187489 188160 189440 192252 192864 193984 194176 198912 207840 209920 212170 212380 213036 215040 217560 220416 221696 222999 224294 227328 232064 240315 241080 242480 242720 248542 248640 250880 251904 254604 254856 256336 257152 265216 266295 275520 277120 284048 284160 290080 290976 291264 293888 297332 301056 314880 318255 318570 320420 321440 331520 332544 336441 339472 339808 348096 355060 363720 364080 367360 371665 372813 374978 376320 378880 384504 385728 387968 388352 397824 415680 419840 424340 424760 426072 435120 440832 443392 445998 448588 464128 480630 482160 484960 485440 497084 497280 501760 509208 509712 512672 514304 530432 532590 551040 554240 560735 562467 568096 568320 580160 581952 582528 587776 594664 621355 629760 636510 637140 640840 642880 656861 663040 665088 672882 678944 679616 696192 710120 727440 728160 734720 743330 745626 749956 752640 769008 771456 775936 776704 785029 795648 831360 848680 849520 852144 869897 870240 881664 886784 891996 897176 928256 937445 961260 964320 969920 970880 994168 994560 1018416 1019424 1025344 1028608 1065180 1102080 1108480 1114995 1121470 1124934 1136192 1136640 1160320 1163904 1165056 1189328 1242710 1259520 1273020 1274280 1281680 1285760 1312423 1313722 1326080 1330176 1345764 1357888 1359232 1392384 1420240 1454880 1456320 1469440 1486660 1491252 1499912 1505280 1538016 1542912 1551872 1553408 1570058 1591296 1662720 1682205 1697360 1699040 1704288 1739794 1740480 1763328 1783992 1794352 1856512 1864065 1874890 1922520 1928640 1939840 1941760 1970583 1988336 1989120 2036832 2038848 2050688 2057216 2130360 2204160 2216960 2229990 2242940 2249868 2272384 2320640 2327808 2330112 2355087 2378656 2485420 2546040 2548560 2563360 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887947904 890774528 922445880 954401280 959943680 965585670 971193020 983942272 1004837120 1007940864 1008938496 1019752671 1029958048 1076186860 1102435320 1103526480 1109934880 1113468160 1129996203 1137683252 1141754880 1148385280 1151932416 1165431624 1175931008 1177094912 1205804544 1229927840 1259926080 1261173120 1272535040 1287447560 1291424232 1331921856 1336161792 1343921152 1345251328 1359670228 1422104065 1439915520 1456789530 1469913760 1471368640 1475913408 1506661604 1507255680 1544937072 1553908832 1607739392 1614280290 1664902320 1670202240 1679901440 1681564160 1699587785 1706524878 1721898976 1722577920 1763896512 1765642368 1775895808 1781549056 1844891760 1883327005 1908802560 1919887360 1931171340 1942386040 1967884544 1990945691 2009674240 2015881728 2017876992 2039505342 2059916096 2152373720 2204870640 2207052960 2219869760 2226936320 2259992406 2275366504 2283509760 2330863248 2351862016 2354189824 2411609088 2459855680 2519852160 2522346240 2574895120 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109217592192 110201534464 111492958696 118073072640 119456741460 120532928320 123594965760 124312706560 127420524224 130528341888 136521990240 137751918080 139366198370 141111720960 141251389440 144639513984 145623456256 149175247872 159275655280 163160427360 164793287680 165302301696 167239438044 174037789184 180799392480 182029320320 186469059840 191130786336 192852685312 197751945216 206627877120 209049297555 213107496960 217547236480 218435184384 222985917392 236146145280 238913482920 241065856640 247189931520 248625413120 254841048448 261056683776 273043980480 275503836160 278732396740 282223441920 289279027968 291246912512 298350495744 318551310560 326320854720 329586575360 330604603392 334478876088 348075578368 361598784960 364058640640 372938119680 382261572672 385705370624 413255754240 418098595110 435094472960 436870368768 445971834784 477826965840 482131713280 494379863040 497250826240 509682096896 522113367552 546087960960 551007672320 557464793480 578558055936 582493825024 637102621120 652641709440 668957752176 696151156736 723197569920 728117281280 745876239360 764523145344 771410741248 826511508480 836197190220 870188945920 873740737536 891943669568 955653931680 964263426560 988759726080 1019364193792 1044226735104 1092175921920 1114929586960 1157116111872 1274205242240 1305283418880 1337915504352 1446395139840 1456234562560 1491752478720 1529046290688 1653023016960 1672394380440 1740377891840 1747481475072 1783887339136 1911307863360 1928526853120 2038728387584 2088453470208 2184351843840 2229859173920 2314232223744 2548410484480 2610566837760 2675831008704 2892790279680 2912469125120 3058092581376 3344788760880 3480755783680 3567774678272 3822615726720 3857053706240 4077456775168 4368703687680 4459718347840 5096820968960 5221133675520 5351662017408 5785580559360 6116185162752 6689577521760 7135549356544 7645231453440 8737407375360 8919436695680 10193641937920 10442267351040 10703324034816 11571161118720 12232370325504 13379155043520 14271098713088 15290462906880 17838873391360 20387283875840 21406648069632 26758310087040 28542197426176 30580925813760 35677746782720 42813296139264 53516620174080 61161851627520 71355493565440 85626592278528 107033240348160 142710987130880 214066480696320 428132961392640
- Sum of all divisors σ(n): 1680168458011680
- Sum of proper divisors (its aliquot sum) s(n): 1252035496619040
- 428132961392640 is an abundant number, because the sum of its proper divisors (1252035496619040) is greater than itself. Its abundance is 823902535226400
Bases of 428132961392640
- Binary: 11000010101100010011110010001010010011000000000002
- Hexadecimal: 0x1856279149800
- Base-36: 47RDKF5BEO
Squares and roots of 428132961392640
- 428132961392640 squared (4281329613926402) is 183297832630831772768246169600
- 428132961392640 cubed (4281329613926403) is 78475843901090487772318186627480361631744000
-
The
square root of 428132961392640 is 20691374.0817916681 -
The
cube root of 428132961392640 is 75369.0234677159
Scales and comparisons
How big is 428132961392640?- 428,132,961,392,640 seconds is equal to 13,613,303 years, 45 weeks, 1 day, 17 hours, 4 minutes.
-
To count from 1 to 428,132,961,392,640 would take you about thirty-four million, thirty-three thousand, two hundred fifty-nine 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 428132961392640 cubic inches would be around 6280.8 feet tall.
Recreational maths with 428132961392640
- 428132961392640 backwards is 046293169231824
- 428132961392640 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428132961392640's digits is 60
- More coming soon!
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"Number 428132961392640 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 428132961392640 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/428132961392640/
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The information we have on file for 428132961392640 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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