428348382013440
428,348,382,013,440 is an even composite number composed of six prime numbers multiplied together.
428348382013440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 428348382013440:
211 × 32 × 5 × 74 × 832 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 7 × 7 × 83 × 83 × 281)See below for interesting mathematical facts about the number 428348382013440 from the Numbermatics database.
Names of 428348382013440
- Cardinal: 428348382013440 can be written as Four hundred twenty-eight trillion, three hundred forty-eight billion, three hundred eighty-two million, thirteen thousand, four hundred forty.
Scientific notation
- Scientific notation: 4.2834838201344 × 1014
Factors of 428348382013440
Divisors of 428348382013440
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 49 56 60 63 64 70 72 80 83 84 90 96 98 105 112 120 126 128 140 144 147 160 166 168 180 192 196 210 224 240 245 249 252 256 280 281 288 294 315 320 332 336 343 360 384 392 415 420 441 448 480 490 498 504 512 560 562 576 581 588 630 640 664 672 686 720 735 747 768 784 830 840 843 882 896 960 980 996 1008 1024 1029 1120 1124 1152 1162 1176 1245 1260 1280 1328 1344 1372 1405 1440 1470 1494 1536 1568 1660 1680 1686 1715 1743 1764 1792 1920 1960 1967 1992 2016 2048 2058 2205 2240 2248 2304 2324 2352 2401 2490 2520 2529 2560 2656 2688 2744 2810 2880 2905 2940 2988 3072 3087 3136 3320 3360 3372 3430 3486 3528 3584 3735 3840 3920 3934 3984 4032 4067 4116 4215 4410 4480 4496 4608 4648 4704 4802 4980 5040 5058 5120 5145 5229 5312 5376 5488 5620 5760 5810 5880 5901 5976 6144 6174 6272 6640 6720 6744 6860 6889 6972 7056 7168 7203 7470 7680 7840 7868 7968 8064 8134 8232 8430 8715 8820 8960 8992 9216 9296 9408 9604 9835 9960 10080 10116 10240 10290 10458 10624 10752 10976 11240 11520 11620 11760 11802 11952 12005 12201 12348 12544 12645 13280 13440 13488 13720 13769 13778 13944 14112 14336 14406 14940 15360 15435 15680 15736 15936 16128 16268 16464 16860 17430 17640 17703 17920 17984 18432 18592 18816 19208 19670 19920 20160 20232 20335 20580 20667 20916 21248 21504 21609 21952 22480 23040 23240 23323 23520 23604 23904 24010 24402 24696 25088 25290 26145 26560 26880 26976 27440 27538 27556 27888 28224 28469 28812 29505 29880 30720 30870 31360 31472 31872 32256 32536 32928 33720 34445 34860 35280 35406 35840 35968 36015 36603 37184 37632 38416 39340 39840 40320 40464 40670 41160 41307 41334 41832 42496 43008 43218 43904 44960 46080 46480 46646 47040 47208 47808 48020 48223 48804 49392 50176 50580 52290 53120 53760 53952 54880 55076 55112 55776 56448 56938 57624 59010 59760 61005 61740 62001 62720 62944 63744 64512 65072 65856 67440 68845 68890 69720 69969 70560 70812 71680 71936 72030 73206 74368 75264 76832 78680 79680 80640 80928 81340 82320 82614 82668 83664 84992 85407 86436 87808 88515 89920 92160 92960 93292 94080 94416 95616 96040 96383 96446 97608 98784 100352 101160 103335 104580 106240 107520 107904 108045 109760 110152 110224 111552 112896 113876 115248 116615 118020 119520 122010 123480 123921 124002 125440 125888 127488 129024 130144 131712 134880 137690 137780 139440 139938 141120 141624 142345 143872 144060 144669 146412 148736 150528 153664 157360 159360 161280 161856 162680 163261 164640 165228 165336 167328 169984 170814 172872 175616 177030 179840 183015 185920 186584 188160 188832 191232 192080 192766 192892 195216 197568 199283 202320 206535 206670 209160 209907 212480 215040 215808 216090 219520 220304 220448 223104 225792 227752 230496 233230 236040 239040 241115 244020 246960 247842 248004 250880 251776 254976 256221 260288 263424 269760 275380 275560 278880 279876 282240 283248 284690 287744 288120 289149 289338 292824 297472 301056 307328 310005 314720 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5184936960 5203454592 5266146816 5292956480 5311859896 5375858208 5444183808 5575129920 5691278460 5759848080 5851274240 5946805248 5954576040 5975842383 6049093120 6070697024 6121973760 6143837952 6217860096 6221924352 6351547776 6504318240 6582683520 6639824870 6719822760 6805229760 6829534152 6908733440 6937939456 7021529088 7167810944 7258911744 7433506560 7523066880 7588371280 7679797440 7772325120 7777405440 7805181888 7939434720 7967789844 8063787312 8191783936 8468730368 8536917690 8672424320 8776911360 8882657280 8920207872 8959763680 9073639680 9106045536 9182960640 9215756928 9295754818 9527321664 9756477360 9911342080 9959737305 10079734140 10239729920 10363100160 10369873920 10406909184 10532293632 10585912960 10623719792 10751716416 10888367616 11150259840 11382556920 11519696160 11702548480 11893610496 11909152080 11951684766 12098186240 12141394048 12287675904 12435720192 12703095552 13008636480 13165367040 13279649740 13439645520 13610459520 13659068304 13875878912 13943632227 14335621888 14517823488 14867013120 15046133760 15176742560 15359594880 15544650240 15554810880 15610363776 15878869440 15935579688 16127574624 16383567872 16937460736 17073835380 17344848640 17553822720 17840415744 17919527360 18147279360 18212091072 18365921280 18431513856 18591509636 19054643328 19512954720 19822684160 19919474610 20159468280 20479459840 20726200320 20813818368 21064587264 21171825920 21247439584 21503432832 21776735232 22300519680 22765113840 23039392320 23239387045 23818304160 23903369532 24196372480 24282788096 24575351808 25406191104 26017272960 26330734080 26559299480 26879291040 27220919040 27318136608 27751757824 27887264454 28671243776 29734026240 29879211915 30353485120 30719189760 31089300480 31109621760 31220727552 31757738880 31871159376 32255149248 33874921472 34147670760 34689697280 35107645440 35680831488 35839054720 36294558720 36424182144 36863027712 37183019272 38109286656 39025909440 39838949220 40318936560 40958919680 41627636736 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159355796880 161275746240 167323586724 169374607360 169979516672 172027462656 178404157440 182120910720 184315138560 185915096360 190546433280 191226956256 194262304768 208138183680 209154483405 212474395840 215034328320 217767352320 218545092864 223098115632 239033695320 242827880960 245753518080 249765820416 254061911040 254969275008 258041193984 273181366080 278872644540 286712437760 291393457152 297464154176 304874293248 312207275520 318711593760 322551492480 334647173448 339959033344 344054925312 364241821440 368630277120 371830192720 381092866560 382453912512 416276367360 418308966810 424948791680 430068656640 437090185728 446196231264 478067390640 485655761920 508123822080 509938550016 516082387968 546362732160 557745289080 573424875520 582786914304 594928308352 624414551040 637423187520 645102984960 669294346896 679918066688 728483642880 737260554240 743660385440 762185733120 764907825024 836617933620 849897583360 860137313280 874180371456 892392462528 956134781280 971311523840 1019877100032 1032164775936 1092725464320 1115490578160 1189856616704 1248829102080 1274846375040 1290205969920 1338588693792 1359836133376 1456967285760 1487320770880 1524371466240 1529815650048 1673235867240 1699795166720 1720274626560 1748360742912 1784784925056 1912269562560 2039754200064 2185450928640 2230981156320 2379713233408 2549692750080 2580411939840 2677177387584 2913934571520 2974641541760 3059631300096 3346471734480 3399590333440 3569569850112 3824539125120 4079508400128 4370901857280 4461962312640 4759426466816 5099385500160 5160823879680 5354354775168 5949283083520 6119262600192 6692943468960 6799180666880 7139139700224 7649078250240 8741803714560 8923924625280 9518852933632 10198771000320 10708709550336 11898566167040 12238525200384 13385886937920 14278279400448 15298156500480 17847849250560 20397542000640 21417419100672 23797132334080 26771773875840 28556558800896 30596313000960 35695698501120 42834838201344 47594264668160 53543547751680 61192626001920 71391397002240 85669676402688 107087095503360 142782794004480 214174191006720 428348382013440
- Sum of all divisors σ(n): 1759261469680260
- Sum of proper divisors (its aliquot sum) s(n): 1330913087666820
- 428348382013440 is an abundant number, because the sum of its proper divisors (1330913087666820) is greater than itself. Its abundance is 902564705653380
Bases of 428348382013440
- Binary: 11000010110010100101000010010011001101000000000002
- Hexadecimal: 0x18594A1266800
- Base-36: 47U4J30U80
Squares and roots of 428348382013440
- 428348382013440 squared (4283483820134402) is 183482336373531928508340633600
- 428348382013440 cubed (4283483820134403) is 78594361913648151802747653026566933315584000
-
The
square root of 428348382013440 is 20696578.9929988187 -
The
cube root of 428348382013440 is 75381.6623135299
Scales and comparisons
How big is 428348382013440?- 428,348,382,013,440 seconds is equal to 13,620,153 years, 30 weeks, 22 hours, 24 minutes.
-
To count from 1 to 428,348,382,013,440 would take you about thirty-four million, fifty thousand, three hundred eighty-three 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 428348382013440 cubic inches would be around 6281.8 feet tall.
Recreational maths with 428348382013440
- 428348382013440 backwards is 044310283843824
- The number of decimal digits it has is: 15
- The sum of 428348382013440's digits is 54
- More coming soon!
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The information we have on file for 428348382013440 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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