428319717133000
428,319,717,133,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 428319717133000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1920 divisors.
428319717133000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 428319717133000:
23 × 53 × 73 × 114 × 19 × 672
(2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 11 × 11 × 19 × 67 × 67)See below for interesting mathematical facts about the number 428319717133000 from the Numbermatics database.
Names of 428319717133000
- Cardinal: 428319717133000 can be written as Four hundred twenty-eight trillion, three hundred nineteen billion, seven hundred seventeen million, one hundred thirty-three thousand.
Scientific notation
- Scientific notation: 4.28319717133 × 1014
Factors of 428319717133000
Divisors of 428319717133000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 19 20 22 25 28 35 38 40 44 49 50 55 56 67 70 76 77 88 95 98 100 110 121 125 133 134 140 152 154 175 190 196 200 209 220 242 245 250 266 268 275 280 308 335 343 350 380 385 392 418 440 469 475 484 490 500 532 536 539 550 605 616 665 670 686 700 737 760 770 836 847 875 931 938 950 968 980 1000 1045 1064 1078 1100 1210 1225 1273 1330 1331 1340 1372 1375 1400 1463 1474 1540 1672 1675 1694 1715 1750 1862 1876 1900 1925 1960 2090 2156 2200 2299 2345 2375 2420 2450 2546 2660 2662 2680 2695 2744 2750 2926 2948 3025 3080 3283 3325 3350 3388 3430 3500 3685 3724 3752 3773 3800 3850 4180 4235 4312 4489 4598 4655 4690 4750 4840 4900 5092 5159 5225 5320 5324 5390 5500 5852 5896 5929 6050 6125 6365 6517 6566 6650 6655 6700 6776 6860 7000 7315 7370 7448 7546 7700 8107 8360 8375 8470 8575 8911 8978 9196 9310 9317 9380 9500 9625 9800 10184 10241 10318 10450 10648 10780 11000 11495 11704 11725 11858 12100 12250 12730 13034 13132 13300 13310 13400 13475 13720 14003 14630 14641 14740 15092 15125 15400 16093 16214 16415 16625 16750 16940 17150 17822 17956 18392 18425 18620 18634 18760 18865 19000 19250 20482 20636 20900 21175 21560 22445 22981 22990 23275 23450 23716 24200 24500 25289 25460 25795 26068 26125 26264 26600 26620 26950 28006 29260 29282 29480 29645 30184 30250 31423 31825 32186 32428 32585 32830 33250 33275 33500 33880 34300 35644 35912 36113 36575 36850 37240 37268 37730 38500 40535 40964 41272 41503 41800 42350 42875 44555 44890 45962 45980 46550 46585 46900 47432 49000 49379 50578 50920 51205 51590 52136 52250 53240 53900 56012 56749 57475 58520 58564 58625 59290 60500 62377 62846 63650 64372 64856 65170 65219 65660 66500 66550 67000 67375 68600 70015 71288 71687 72226 73150 73205 73700 74536 75460 77000 80465 81070 81928 82075 83006 84700 85291 85750 89110 89177 89780 91924 91960 92125 93100 93170 93800 94325 98021 98758 101156 102410 102487 103180 104500 105875 107800 112024 112225 112651 113498 114905 114950 116375 117128 117250 118580 121000 124754 125692 126445 127300 128744 128975 130340 130438 131320 133000 133100 134750 140030 143374 144452 146300 146410 147400 148225 150920 154033 157115 159125 160930 162140 162925 164150 166012 166375 169400 170582 171500 177023 178220 178354 179560 180565 182875 183848 184250 186200 186340 188650 196042 197516 202312 202675 204820 204974 206360 207515 209000 211750 219961 222775 224450 225302 226996 229810 229900 232750 232925 234500 237160 246895 249508 251384 252791 252890 254600 256025 257950 260680 260876 266200 269500 278179 280060 283745 286748 287375 288904 292600 292820 296450 308066 311885 314230 318250 321860 324280 325850 326095 328300 332024 332750 341164 343000 345653 350075 354046 356440 356708 358435 361130 365750 366025 368500 372680 377300 392084 395032 397243 402325 405350 409640 409948 410375 415030 423500 426455 436639 439922 445550 445885 448900 450604 453992 456533 459620 459800 465500 465850 469000 471625 490105 493790 499016 505582 505780 512050 512435 515900 521752 539000 543169 556358 560120 561125 563255 567490 573496 574525 574750 585640 592900 597037 616132 623770 624239 628460 632225 636500 643720 644875 651700 652190 656600 665500 682328 686147 691306 700150 708092 713416 716870 717409 722260 731500 732050 737000 741125 754600 770165 784168 785575 788557 794486 804650 810700 814625 819896 820750 830060 847000 852910 873278 879844 885115 891100 891770 897800 901208 902825 913066 919240 931000 931700 938201 943250 980210 980947 987580 1011164 1011560 1013375 1024100 1024870 1031800 1037575 1078231 1086338 1099805 1112716 1113875 1122250 1126510 1134980 1149050 1149500 1164625 1185800 1194074 1232264 1234475 1239161 1247540 1248478 1256920 1263955 1264450 1273000 1280125 1289750 1303400 1304380 1331000 1372294 1382612 1390895 1400300 1416184 1418725 1433740 1434818 1444520 1463000 1464100 1482250 1539727 1540330 1559425 1571150 1577114 1588972 1609300 1621400 1629250 1630475 1641500 1660120 1694363 1705820 1728265 1746556 1750375 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31598875 32609500 32837035 33434072 33873994 33887260 34307350 34333145 34565300 34696508 34772375 34957384 35404600 35843500 35870450 36113000 37275986 37528040 37738085 38021830 38424232 38493175 38508250 38945060 39237880 39427850 39724300 40174904 41280844 41503000 41792590 41824013 42359075 42645500 43129240 43206625 43370635 43663900 43696730 43992200 44255750 44588500 45653300 45971849 46910050 47442164 47798872 48030290 48066403 48391420 48681325 49010500 49047350 49379000 49566440 49655375 50218630 50558200 51243500 51601055 52539256 52833319 53230562 53911550 54316900 54523084 54579875 54933032 54990250 55614020 55635800 56325500 56749000 57066625 58509626 59302705 59703700 59748590 60380936 60489275 61175422 61589080 61958050 62377000 62423900 63197750 65219000 65674070 65723449 67747988 67774520 67896125 68153855 68614700 68666290 69130600 69393016 69517525 69544750 71687000 71740900 72241477 74551972 74629625 75476170 76043660 76986350 77016500 77890120 78029875 78855700 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1135223210 1149296225 1162333018 1170192520 1171072364 1186054100 1194971800 1200757250 1201660075 1209785500 1223508440 1239161000 1248745531 1255465750 1287211772 1290026375 1304659510 1313481400 1314468980 1320832975 1330764050 1345859284 1363077100 1373325800 1390350500 1444829540 1462740650 1463840455 1482567625 1490455736 1493714750 1509523400 1529385550 1539727000 1589312494 1609014715 1641851750 1643086225 1660475740 1672960520 1682324105 1693699700 1694363000 1703846375 1716657250 1734825400 1806036925 1826523314 1838873960 1840256572 1863069670 1863799300 1886904250 1901091500 1908307940 1922656120 1947253000 2022761356 2049376637 2064042200 2075594675 2089629500 2091200650 2113332760 2117124625 2168531750 2184836500 2270446420 2298592450 2300320715 2324666036 2329749125 2342144728 2372108200 2385384925 2401514500 2403320150 2419571000 2497491062 2510931500 2528451695 2574423544 2580052750 2609319020 2628937960 2641665950 2661528100 2691718568 2726154200 2780701000 2838058025 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8215431125 8302378700 8364802600 8411620525 8468498500 8674127000 8741218717 9030184625 9132616570 9194369800 9201282860 9315348350 9318996500 9541539700 9613280600 9989964248 10113806780 10246883185 10320211000 10377973375 10456003250 10566663800 11125187458 11352232100 11492962250 11501603575 11623330180 11710723640 11860541000 11926924625 12016600750 12487455310 12642258475 12785663198 12872117720 12881796004 13046595100 13144689800 13208329750 13307640500 13458592840 13630771000 14159329492 14190290125 14448295400 14529162725 14627406500 14638404550 15293855500 15893124940 16090147150 16102245005 16308243875 16395013096 16430862250 16604757400 16823241050 16936997000 17482437434 17699161865 18060369250 18265233140 18402565720 18630696700 18637993000 19083079400 19866406175 20227613560 20493766370 20755946750 20912006500 22250374916 22543143007 22704464200 22831541425 22985924500 23003207150 23246660360 23288370875 23853849250 24033201500 24974910620 25284516950 25571326396 25763592008 26093190200 26416659500 26615281000 27812968645 28318658984 28380580250 29058325450 29254813000 29276809100 30587711000 31218638275 31786249880 31964157995 32180294300 32204490010 32616487750 32861724500 33646482100 34964874868 35398323730 36120738500 36530466280 36596011375 37261393400 38938156103 39732812350 40225367875 40987532740 41511893500 41824013000 42058102625 43706093585 44500749832 45086286014 45663082850 45971849000 46006414300 46576741750 47707698500 48066403000 49949821240 50569033900 51142652792 51234415925 52833319000 55625937290 56761160500 57508017875 58116650900 58553618200 61188531019 62437276550 63211292375 63928315990 64360588600 64408980020 65232975500 65723449000 67292964200 69929749736 70796647460 72241477000 72645813625 73192022750 77876312206 79465624700 80450735750 80511225025 81975065480 83023787000 84116205250 87412187170 88495809325 90172572028 91326165700 92012828600 93153483500 95415397000 99332030875 101138067800 102468831850 111251874580 112715715035 113522321000 114157707125 115016035750 116233301800 122377062038 124874553100 126422584750 127856631980 128817960040 130465951000 139064843225 141593294920 145291627250 146384045500 155752624412 156093191375 158931249400 159820789975 160901471500 161022450050 168232410500 174824374340 176991618650 180345144056 182652331400 186306967000 194690780515 198664061750 204937663700 218530467925 222503749160 225431430070 228315414250 230032071500 244754124076 249749106200 252845169500 255713263960 256172079625 278129686450 290583254500 292768091000 305942655095 311505248824 312186382750 319641579950 321802943000 322044900100 336464821000 349648748680 353983237300 389381561030 397328123500 402556125125 409875327400 428319717133 437060935850 442479046625 450862860140 456630828500 460064143000 489508248152 505690339000 512344159250 556259372900 563578575175 581166509000 611885310190 624372765500 639283159900 644089800200 695324216125 707966474600 778763122060 794656247000 799103949875 805112250250 856639434266 874121871700 884958093250 901725720280 913261657000 973453902575 1024688318500 1092652339625 1112518745800 1127157150350 1223770620380 1248745531000 1278566319800 1390648432250 1529713275475 1557526244120 1598207899750 1610224500500 1713278868532 1748243743400 1769916186500 1946907805150 2049376637000 2141598585665 2185304679250 2254314300700 2447541240760 2781296864500 2817892875875 3059426550950 3196415799500 3220449001000 3426557737064 3539832373000 3893815610300 4283197171330 4370609358500 4508628601400 4867269512875 5562593729000 5635785751750 6118853101900 6392831599000 7648566377375 7787631220600 8566394342660 8741218717000 9734539025750 10707992928325 11271571503500 12237706203800 15297132754750 17132788685320 19469078051500 21415985856650 22543143007000 30594265509500 38938156103000 42831971713300 53539964641625 61188531019000 85663943426600 107079929283250 214159858566500 428319717133000
- Sum of all divisors σ(n): 1373869879200000
- Sum of proper divisors (its aliquot sum) s(n): 945550162067000
- 428319717133000 is an abundant number, because the sum of its proper divisors (945550162067000) is greater than itself. Its abundance is 517230444934000
Bases of 428319717133000
- Binary: 11000010110001101111101001001011100001010110010002
- Hexadecimal: 0x1858DF4970AC8
- Base-36: 47TRD0OYX4
Squares and roots of 428319717133000
- 428319717133000 squared (4283197171330002) is 183457780084893133739689000000
- 428319717133000 cubed (4283197171330003) is 78578584471809547769917530935391637000000000
-
The
square root of 428319717133000 is 20695886.4785493061 -
The
cube root of 428319717133000 is 75379.9807737443
Scales and comparisons
How big is 428319717133000?- 428,319,717,133,000 seconds is equal to 13,619,242 years, 6 weeks, 3 days, 11 hours, 36 minutes, 40 seconds.
-
To count from 1 to 428,319,717,133,000 would take you about thirty-four million, forty-eight thousand, one 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 428319717133000 cubic inches would be around 6281.7 feet tall.
Recreational maths with 428319717133000
- 428319717133000 backwards is 000331717913824
- 428319717133000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428319717133000's digits is 49
- More coming soon!
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MLA style:
"Number 428319717133000 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 428319717133000 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/428319717133000/
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The information we have on file for 428319717133000 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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