428007842349696
428,007,842,349,696 is an even composite number composed of five prime numbers multiplied together.
What does the number 428007842349696 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1728 divisors.
428007842349696 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 428007842349696:
27 × 38 × 73 × 672 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 67 × 67 × 331)See below for interesting mathematical facts about the number 428007842349696 from the Numbermatics database.
Names of 428007842349696
- Cardinal: 428007842349696 can be written as Four hundred twenty-eight trillion, seven billion, eight hundred forty-two million, three hundred forty-nine thousand, six hundred ninety-six.
Scientific notation
- Scientific notation: 4.28007842349696 × 1014
Factors of 428007842349696
Divisors of 428007842349696
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 67 72 81 84 96 98 108 112 126 128 134 144 147 162 168 189 192 196 201 216 224 243 252 268 288 294 324 331 336 343 378 384 392 402 432 441 448 469 486 504 536 567 576 588 603 648 662 672 686 729 756 784 804 864 882 896 938 972 993 1008 1029 1072 1134 1152 1176 1206 1296 1323 1324 1344 1372 1407 1458 1512 1568 1608 1701 1728 1764 1809 1876 1944 1986 2016 2058 2144 2187 2268 2317 2352 2412 2592 2646 2648 2688 2744 2814 2916 2979 3024 3087 3136 3216 3283 3402 3456 3528 3618 3752 3888 3969 3972 4032 4116 4221 4288 4374 4489 4536 4634 4704 4824 5103 5184 5292 5296 5427 5488 5628 5832 5958 6048 6174 6272 6432 6561 6566 6804 6951 7056 7236 7504 7776 7938 7944 8064 8232 8442 8576 8748 8937 8978 9072 9261 9268 9408 9648 9849 10206 10368 10584 10592 10854 10976 11256 11664 11907 11916 12096 12348 12663 12864 13122 13132 13467 13608 13902 14112 14472 15008 15309 15552 15876 15888 16219 16281 16464 16884 17496 17874 17956 18144 18522 18536 18816 19296 19698 20412 20853 21168 21184 21708 21952 22177 22512 22981 23328 23814 23832 24192 24696 25326 25728 26244 26264 26811 26934 27216 27783 27804 28224 28944 29547 30016 30618 31104 31423 31752 31776 32438 32562 32928 33768 34992 35721 35748 35912 36288 37044 37072 37989 38592 39396 40401 40824 41706 42336 42368 43416 43904 44354 45024 45927 45962 46656 47628 47664 48657 48843 49392 50652 52488 52528 53622 53868 54432 55566 55608 56448 57888 59094 60032 61236 62559 62846 63504 63552 64876 65124 65856 66531 67536 68943 69984 71442 71496 71824 72576 74088 74144 75978 77184 78792 80433 80802 81648 83349 83412 84672 86832 88641 88708 90048 91854 91924 93312 94269 95256 95328 97314 97686 98784 101304 104976 105056 107163 107244 107736 108864 111132 111216 113533 113967 115776 118188 121203 122472 125118 125692 127008 127104 129752 130248 131712 133062 135072 137886 139968 142884 142992 143648 145971 146529 148176 148288 151956 155239 157584 160866 161604 163296 166698 166824 169344 173664 177282 177416 180096 183708 183848 187677 188538 190512 190656 194628 195372 197568 199593 202608 206829 209952 210112 214326 214488 215472 217728 219961 222264 222432 227066 227934 231552 236376 241299 242406 244944 250047 250236 251384 254016 259504 260496 265923 266124 270144 275772 279936 282807 285768 285984 287296 291942 293058 296352 296576 303912 310478 315168 321489 321732 323208 326592 333396 333648 340599 341901 347328 354564 354832 363609 367416 367696 375354 377076 381024 381312 389256 390744 395136 399186 405216 413658 419904 420224 428652 428976 430944 437913 439587 439922 444528 444864 454132 455868 465717 472752 482598 484812 489888 500094 500472 502768 508032 519008 520992 531846 532248 540288 551544 563031 565614 571536 571968 574592 583884 586116 592704 598779 607824 620487 620956 630336 642978 643464 646416 653184 659883 666792 667296 681198 683802 694656 709128 709664 723897 727218 734832 735392 750141 750708 754152 762048 778512 781488 797769 798372 810432 827316 839808 848421 857304 857952 861888 875826 879174 879844 889056 889728 908264 911736 931434 945504 965196 969624 979776 1000188 1000944 1005536 1021797 1025703 1038016 1041984 1063692 1064496 1086673 1090827 1103088 1126062 1131228 1143072 1143936 1167768 1172232 1185408 1197558 1215648 1240974 1241912 1260672 1285956 1286928 1292832 1313739 1319766 1333584 1334592 1362396 1367604 1397151 1418256 1419328 1447794 1454436 1469664 1470784 1485859 1500282 1501416 1508304 1524096 1539727 1557024 1562976 1595538 1596744 1620864 1654632 1689093 1696842 1714608 1715904 1723776 1751652 1758348 1759688 1778112 1796337 1816528 1823472 1861461 1862868 1891008 1930392 1939248 1959552 1979649 2000376 2001888 2011072 2043594 2051406 2076032 2083968 2127384 2128992 2171691 2173346 2181654 2206176 2250423 2252124 2262456 2286144 2335536 2344464 2393307 2395116 2431296 2481948 2483824 2545263 2571912 2573856 2585664 2627478 2639532 2667168 2669184 2724792 2735208 2794302 2836512 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53918851392 55042160796 57037292424 59149784736 60658707816 61575002496 62905326624 65185477056 65235153536 66543507828 68241046293 69324237504 70768492452 71837502912 73389547728 76049723232 77989767192 78866379648 80817190776 80878277088 82563241194 83873768832 88724677104 90988061724 92362503744 94357989936 95345921664 97852730304 99815261742 101399630976 103986356256 106152738678 107756254368 107837702784 110084321592 114074584848 118299569472 121317415632 123844861791 125810653248 130370954112 133087015656 136482092586 138648475008 141536984904 143675005824 146779095456 152099446464 155979534384 159229108017 161634381552 161756554176 165126482388 177449354208 181976123448 184725007488 188715979872 195705460608 199630523484 207972712512 212305477356 215512508736 220168643184 228149169696 236599138944 242634831264 247689723582 251621306496 266174031312 272964185172 283073969808 293558190912 304198892928 311959068768 318458216034 323268763104 323513108352 330252964776 354898708416 363952246896 371534585373 377431959744 399261046968 415945425024 424610954712 431025017472 440337286368 456298339392 477687324051 485269662528 495379447164 532348062624 545928370344 566147939616 587116381824 623918137536 636916432068 646537526208 660505929552 709797416832 727904493792 743069170746 754863919488 798522093936 849221909424 880674572736 912596678784 955374648102 970539325056 990758894328 1064696125248 1091856740688 1114603756119 1132295879232 1247836275072 1273832864136 1293075052416 1321011859104 1455808987584 1486138341492 1597044187872 1698443818848 1761349145472 1910749296204 1981517788656 2129392250496 2183713481376 2229207512238 2264591758464 2547665728272 2642023718208 2911617975168 2972276682984 3194088375744 3343811268357 3396887637696 3821498592408 3963035577312 4367426962752 4458415024476 5095331456544 5284047436416 5944553365968 6388176751488 6687622536714 6793775275392 7642997184816 7926071154624 8734853925504 8916830048952 10190662913088 11889106731936 13375245073428 15285994369632 15852142309248 17833660097904 20381325826176 23778213463872 26750490146856 30571988739264 35667320195808 47556426927744 53500980293712 61143977478528 71334640391616 107001960587424 142669280783232 214003921174848 428007842349696
- Sum of all divisors σ(n): 1518645878568000
- Sum of proper divisors (its aliquot sum) s(n): 1090638036218304
- 428007842349696 is an abundant number, because the sum of its proper divisors (1090638036218304) is greater than itself. Its abundance is 662630193868608
Bases of 428007842349696
- Binary: 11000010101000101010101110110011110000010100000002
- Hexadecimal: 0x1854557678280
- Base-36: 47PS36I000
Squares and roots of 428007842349696
- 428007842349696 squared (4280078423496962) is 183190713112842224754351292416
- 428007842349696 cubed (4280078423496963) is 78407061857929762716297351404580755824705536
-
The
square root of 428007842349696 is 20688350.4018492495 -
The
cube root of 428007842349696 is 75361.6807185297
Scales and comparisons
How big is 428007842349696?- 428,007,842,349,696 seconds is equal to 13,609,325 years, 24 weeks, 3 days, 15 hours, 21 minutes, 36 seconds.
-
To count from 1 to 428,007,842,349,696 would take you about thirty-four million, twenty-three thousand, three hundred thirteen 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 428007842349696 cubic inches would be around 6280.1 feet tall.
Recreational maths with 428007842349696
- 428007842349696 backwards is 696943248700824
- 428007842349696 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428007842349696's digits is 72
- More coming soon!
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"Number 428007842349696 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 428007842349696 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/428007842349696/
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The information we have on file for 428007842349696 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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