428007980951320
428,007,980,951,320 is an even composite number composed of six prime numbers multiplied together.
What does the number 428007980951320 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
428007980951320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 428007980951320:
23 × 5 × 7 × 112 × 173 × 1373
(2 × 2 × 2 × 5 × 7 × 11 × 11 × 17 × 17 × 17 × 137 × 137 × 137)See below for interesting mathematical facts about the number 428007980951320 from the Numbermatics database.
Names of 428007980951320
- Cardinal: 428007980951320 can be written as Four hundred twenty-eight trillion, seven billion, nine hundred eighty million, nine hundred fifty-one thousand, three hundred twenty.
Scientific notation
- Scientific notation: 4.2800798095132 × 1014
Factors of 428007980951320
Divisors of 428007980951320
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 17 20 22 28 34 35 40 44 55 56 68 70 77 85 88 110 119 121 136 137 140 154 170 187 220 238 242 274 280 289 308 340 374 385 440 476 484 548 578 595 605 616 680 685 748 770 847 935 952 959 968 1096 1156 1190 1210 1309 1370 1445 1496 1507 1540 1694 1870 1918 2023 2057 2312 2329 2380 2420 2618 2740 2890 3014 3080 3179 3388 3740 3836 4046 4114 4235 4658 4760 4795 4840 4913 5236 5480 5780 6028 6358 6545 6776 7480 7535 7672 8092 8228 8470 9316 9590 9826 10115 10285 10472 10549 11560 11645 12056 12716 13090 14399 15070 15895 16184 16303 16456 16577 16940 18632 18769 19180 19652 20230 20570 21098 22253 23290 24565 25432 25619 26180 28798 30140 31790 32606 33154 33880 34391 34969 37538 38360 39304 39593 40460 41140 42196 44506 46580 49130 51238 52360 52745 54043 57596 60280 63580 65212 66308 68782 69938 71995 75076 79186 80920 81515 82280 82885 84392 89012 93160 93845 98260 102476 105490 108086 111265 115192 116039 127160 128095 130424 131383 132616 137564 139876 143990 150152 158372 163030 165770 171955 174845 178024 179333 187690 196520 197965 204952 206459 210980 216172 222530 232078 244783 256190 262766 270215 275128 277151 279752 281809 287980 316744 319073 326060 331540 343910 349690 358666 375380 378301 395930 412918 421960 432344 435523 445060 464156 489566 512380 525532 540430 554302 563618 575960 580195 594473 638146 652120 656915 663080 673081 687820 699380 717332 750760 756602 791860 825836 871046 890120 896665 928312 979132 1024760 1032295 1051064 1080860 1108604 1127236 1160390 1188946 1223915 1276292 1313830 1346162 1375640 1385755 1398760 1409045 1434664 1445213 1513204 1583720 1595365 1651672 1742092 1793330 1891505 1958264 1972663 2064590 2161720 2177615 2217208 2233511 2254472 2271049 2320780 2377892 2447830 2552584 2571353 2627660 2692324 2771510 2818090 2890426 2972365 3026408 3048661 3190730 3365405 3484184 3509803 3586660 3783010 3945326 4129180 4161311 4355230 4467022 4542098 4641560 4711567 4755784 4790753 4895660 5142706 5255320 5384648 5424241 5543020 5636180 5780852 5944730 6097322 6381460 6730810 7019606 7173320 7226065 7403891 7566020 7890652 8258360 8322622 8710460 8934044 9084196 9423134 9581506 9791320 9863315 10285412 10848482 11086040 11167555 11272360 11355245 11561704 11889460 12194644 12762920 12856765 13461620 14039212 14452130 14807782 15132040 15243305 15781304 15897343 16645244 17420920 17549015 17868088 17999471 18168392 18846268 19163012 19726630 20570824 20806555 21696964 22335110 22710490 23557835 23778920 23953765 24389288 24568621 25713530 26923240 27121205 28078424 28284883 28904260 29615564 30486610 31794686 33290488 33535271 35098030 35998942 37019455 37692536 37969687 38326024 38607833 39453260 41613110 43393928 43713001 44670220 45420980 47115670 47907530 49137242 51427060 51827237 54242410 56569766 57808520 59231128 59666651 60973220 63589372 67070542 70196060 71997884 74038910 75939374 77215666 78906520 79486715 81442801 83226220 87426002 89340440 89997355 90841960 92212097 94231340 95815060 98274484 102854120 103654474 108484820 113139532 119333302 121946440 122843105 127178744 134141084 140392120 141424415 143995768 148077820 151878748 154431332 158973430 162885602 166452440 167676355 174852004 179994710 184424194 188462680 189848435 191630120 193039165 196548968 197994181 207308948 216969640 218565005 226279064 238666604 245686210 259136185 268282168 270254831 282848830 296155640 298333255 303757496 305991007 308862664 311133713 317946860 325771204 335352710 349704008 359989420 368848388 379696870 386078330 395988362 407214005 414617896 417666557 437130010 461060485 477333208 480843011 491372420 518272370 540509662 565697660 570099607 596666510 611982014 622267426 635893720 645484679 651542408 656333161 670705420 719978840 737696776 743121017 759393740 772156660 791976724 814428010 835333114 874260020 922120970 961686022 982744840 989970905 1014333067 1036544740 1081019324 1131395320 1140199214 1193333020 1223964028 1244534852 1290969358 1312666322 1341410840 1351274155 1486242034 1518787480 1529955035 1544313320 1555668565 1583953448 1628856020 1670666228 1748520040 1844241940 1923372044 1979941810 2028666134 2073089480 2088332785 2162038648 2177935991 2280398428 2386666040 2404215055 2447928056 2489069704 2581938716 2625332644 2702548310 2850498035 2972484068 3059910070 3111337130 3227423395 3257712040 3281665805 3341332456 3365901077 3688483880 3715605085 3846744088 3959883620 4057332268 4176665570 4355871982 4560796856 4594332127 4808430110 5071665335 5163877432 5201847119 5250665288 5289273121 5405096620 5700996070 5944968136 6119820140 6222674260 6454846790 6563331610 6731802154 7100331469 7431210170 7919767240 8114664536 8174331187 8353331140 8711743964 9188664254 9616860220 10143330670 10403694238 10578546242 10810193240 10889679955 11157663737 11401992140 12239640280 12445348520 12633057289 12909693580 13126663220 13463604308 14200662938 14862420340 16348662374 16706662280 16829505385 17423487928 18377328508 19233720440 20286661340 20807388476 21157092484 21779359910 22315327474 22803984280 22971660635 25266114578 25819387160 26009235595 26253326440 26446365605 26927208616 28401325876 29724840680 32697324748 33659010770 35501657345 36754657016 37024911847 40573322680 40871655935 41614776952 42314184968 43558719820 44630654948 45943321270 50532229156 52018471190 52892731210 55788318685 56802651752 57220318309 63165286445 65394649496 67318021540 71003314690 74049823694 78103646159 81743311870 87117439640 88431401023 89261309896 89917643057 91886642540 101064458312 104036942380 105785462420 111576637370 114440636618 126330572890 134636043080 138963630179 142006629380 148099647388 156207292318 163486623740 176862802046 179835286114 183773285080 185124559235 208073884760 211570924840 223153274740 228881273236 252661145780 277927260358 284013258760 286101591545 296199294776 312414584636 326973247480 353725604092 359670572228 370249118470 390518230795 442157005115 446306549480 449588215285 457762546472 505322291560 555854520716 572203183090 624829169272 629423501399 694818150895 707451208184 719341144456 740498236940 781036461590 884314010230 899176430570 972745411253 1111709041432 1144406366180 1258847002798 1389636301790 1480996473880 1528599931969 1562072923180 1768628020460 1798352861140 1945490822506 2288812732360 2517694005596 2779272603580 3057199863938 3124145846360 3147117506995 3537256040920 3596705722280 3890981645012 4863727056265 5035388011192 5558545207160 6114399727876 6294235013990 7642999659845 7781963290024 9727454112530 10700199523783 12228799455752 12588470027980 15285999319690 19454908225060 21400399047566 25176940055960 30571998639380 38909816450120 42800798095132 53500997618915 61143997278760 85601596190264 107001995237830 214003990475660 428007980951320
- Sum of all divisors σ(n): 1294786013472000
- Sum of proper divisors (its aliquot sum) s(n): 866778032520680
- 428007980951320 is an abundant number, because the sum of its proper divisors (866778032520680) is greater than itself. Its abundance is 438770051569360
Bases of 428007980951320
- Binary: 11000010101000101010111111010101001100111000110002
- Hexadecimal: 0x185455FAA6718
- Base-36: 47PS5H0PP4
Squares and roots of 428007980951320
- 428007980951320 squared (4280079809513202) is 183190831758025503972209742400
- 428007980951320 cubed (4280079809513203) is 78407138029545446811672290419786924139968000
-
The
square root of 428007980951320 is 20688353.7515994733 -
The
cube root of 428007980951320 is 75361.6888533109
Scales and comparisons
How big is 428007980951320?- 428,007,980,951,320 seconds is equal to 13,609,329 years, 45 weeks, 4 days, 19 hours, 48 minutes, 40 seconds.
-
To count from 1 to 428,007,980,951,320 would take you about thirty-four million, twenty-three thousand, three hundred twenty-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 428007980951320 cubic inches would be around 6280.1 feet tall.
Recreational maths with 428007980951320
- 428007980951320 backwards is 023159089700824
- The number of decimal digits it has is: 15
- The sum of 428007980951320's digits is 58
- More coming soon!
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The information we have on file for 428007980951320 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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