42124408813872
42,124,408,813,872 is an even composite number composed of six prime numbers multiplied together.
What does the number 42124408813872 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
42124408813872 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 42124408813872:
24 × 32 × 73 × 112 × 172 × 293
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 11 × 11 × 17 × 17 × 29 × 29 × 29)See below for interesting mathematical facts about the number 42124408813872 from the Numbermatics database.
Names of 42124408813872
- Cardinal: 42124408813872 can be written as Forty-two trillion, one hundred twenty-four billion, four hundred eight million, eight hundred thirteen thousand, eight hundred seventy-two.
Scientific notation
- Scientific notation: 4.2124408813872 × 1013
Factors of 42124408813872
Divisors of 42124408813872
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 17 18 21 22 24 28 29 33 34 36 42 44 48 49 51 56 58 63 66 68 72 77 84 87 88 98 99 102 112 116 119 121 126 132 136 144 147 153 154 168 174 176 187 196 198 203 204 231 232 238 242 252 261 264 272 289 294 306 308 319 336 343 348 357 363 374 392 396 406 408 441 462 464 476 484 493 504 522 528 539 561 578 588 609 612 616 638 686 693 696 714 726 748 784 792 812 816 833 841 847 867 882 924 952 957 968 986 1008 1029 1044 1071 1078 1089 1122 1156 1176 1218 1224 1232 1276 1309 1372 1386 1392 1421 1428 1452 1479 1496 1584 1617 1624 1666 1682 1683 1694 1734 1764 1827 1848 1904 1914 1936 1972 2023 2057 2058 2088 2142 2156 2178 2233 2244 2312 2352 2436 2448 2499 2523 2541 2552 2601 2618 2744 2772 2842 2856 2871 2904 2958 2992 3087 3179 3234 3248 3332 3364 3366 3388 3451 3468 3509 3528 3654 3696 3773 3828 3927 3944 4046 4114 4116 4176 4263 4284 4312 4356 4437 4466 4488 4624 4851 4872 4998 5046 5082 5104 5202 5236 5423 5488 5544 5684 5712 5742 5808 5831 5887 5916 5929 6069 6171 6174 6358 6468 6664 6699 6728 6732 6776 6902 6936 7018 7056 7308 7497 7546 7569 7623 7656 7854 7888 8092 8228 8232 8381 8526 8568 8624 8712 8874 8932 8976 9163 9251 9537 9702 9744 9947 9996 10092 10164 10353 10404 10472 10527 10846 11088 11319 11368 11484 11662 11774 11781 11832 11858 12138 12342 12348 12716 12789 12936 13328 13398 13456 13464 13552 13804 13872 14036 14161 14297 14399 14616 14994 15092 15138 15246 15312 15631 15708 16184 16269 16456 16464 16762 17052 17136 17424 17493 17661 17748 17787 17864 18207 18326 18502 18513 19074 19404 19894 19992 20097 20184 20328 20706 20808 20944 21054 21692 22253 22638 22736 22968 23324 23548 23562 23664 23716 24157 24276 24389 24563 24684 24696 25143 25432 25578 25872 26796 26928 27489 27608 27753 28072 28322 28594 28611 28798 29232 29841 29988 30184 30276 30492 31059 31262 31416 31581 32368 32538 32912 33524 33957 34104 34969 34986 35322 35496 35574 35728 36414 36652 37004 37026 37961 38148 38808 39788 39984 40194 40368 40656 41209 41412 41503 41616 42108 42483 42891 43197 43384 44506 45276 45936 46648 46893 47096 47124 47432 48314 48552 48778 48807 49126 49368 49392 50286 50864 51156 52479 52983 53361 53592 54978 55216 55506 56144 56644 57188 57222 57596 58667 59653 59682 59976 60368 60552 60984 62118 62524 62832 63162 64141 64757 65076 66759 67048 67914 68208 69938 69972 70644 70992 71148 72471 72828 73167 73304 73689 74008 74052 75429 75922 76296 77616 79576 80388 82418 82467 82824 83006 83259 84216 84966 85782 86394 86768 89012 89523 90552 92191 93296 93786 94192 94248 94864 96628 97104 97556 97614 98252 98736 99127 100079 100572 100793 101761 102312 104907 104958 105966 106722 107184 109417 109956 111012 113288 113883 114376 114444 115192 117334 119306 119364 119952 121104 121968 123627 124236 124509 125048 126324 127449 128282 128673 129514 129591 130152 133518 134096 135828 139876 139944 140679 141288 142296 144942 145656 146334 146608 147378 148016 148104 150858 151844 152592 155771 157267 159152 160776 164836 164934 165648 166012 166518 168432 169099 169932 170723 171564 171941 172788 176001 178024 178959 179046 181104 184382 187572 188496 192423 193256 194271 195112 195228 196504 198254 200158 200277 201144 201586 203522 204624 209814 209916 211932 213444 217413 218834 219501 219912 221067 222024 226576 227766 228752 228888 230384 234668 238612 238728 243049 244783 247254 248472 249018 250096 252648 254898 256564 257346 259028 259182 260304 265727 267036 268279 271656 276573 279752 279888 281358 282576 284592 288463 289884 291312 292668 294756 296208 297381 300237 301716 302379 303688 305283 311542 314534 314721 321552 328251 329672 329868 332024 333036 338198 339864 341446 341649 343128 343882 345576 352002 356048 357918 358092 368764 370881 373527 375144 384846 386512 388542 390224 390456 393008 396508 400316 400554 402288 403172 407044 410669 414613 417571 419628 419832 423864 426888 434826 437668 439002 439824 442134 444048 453299 455532 457776 467313 469336 471801 477224 477456 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122811687504 125370264327 132051438288 136767561084 137661466712 143280302088 145759200048 154869150051 159562154598 161396202352 167160352436 174067805016 176993314344 181570727646 182356748112 206492200068 207509403024 212749539464 214920453132 225264218256 239343231897 242094303528 250740528654 273535122168 275322933424 286560604176 292530616763 309738300102 319124309196 334320704872 348135610032 353986628688 363141455292 376110792981 412984400136 425499078928 429840906264 478686463794 484188607056 501481057308 547070244336 585061233526 619476600204 638248618392 668641409744 726282910584 752221585962 825968800272 859681812528 877591850289 957372927588 1002962114616 1170122467052 1238953200408 1276497236784 1452565821168 1504443171924 1755183700578 1914745855176 2005924229232 2340244934104 2477906400816 2632775550867 3008886343848 3510367401156 3829491710352 4680489868208 5265551101734 6017772687696 7020734802312 10531102203468 14041469604624 21062204406936 42124408813872
- Sum of all divisors σ(n): 166260238872000
- Sum of proper divisors (its aliquot sum) s(n): 124135830058128
- 42124408813872 is an abundant number, because the sum of its proper divisors (124135830058128) is greater than itself. Its abundance is 82011421244256
Bases of 42124408813872
- Binary: 10011001001111110110100110110001111001001100002
- Hexadecimal: 0x264FDA6C7930
- Base-36: EXJOPDYK0
Squares and roots of 42124408813872
- 42124408813872 squared (421244088138722) is 1774465817918217037939632384
- 42124408813872 cubed (421244088138723) is 74748323540228729299455691015633159630848
-
The
square root of 42124408813872 is 6490331.9494361767 -
The
cube root of 42124408813872 is 34794.5539144167
Scales and comparisons
How big is 42124408813872?- 42,124,408,813,872 seconds is equal to 1,339,425 years, 46 weeks, 5 days, 22 hours, 31 minutes, 12 seconds.
-
To count from 1 to 42,124,408,813,872 would take you about three million, three hundred forty-eight thousand, five hundred sixty-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 42124408813872 cubic inches would be around 2899.5 feet tall.
Recreational maths with 42124408813872
- 42124408813872 backwards is 27831880442124
- The number of decimal digits it has is: 14
- The sum of 42124408813872's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 42124408813872 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
APA style:
Numbermatics. (2024). Number 42124408813872 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/42124408813872/
Chicago style:
Numbermatics. 2024. "Number 42124408813872 - Facts about the integer". https://numbermatics.com/n/42124408813872/
The information we have on file for 42124408813872 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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