42215233240870144
42,215,233,240,870,144 is an even composite number composed of six prime numbers multiplied together.
What does the number 42215233240870144 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1944 divisors.
42215233240870144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 42215233240870144:
28 × 73 × 132 × 172 × 312 × 10243
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 13 × 13 × 17 × 17 × 31 × 31 × 10243)See below for interesting mathematical facts about the number 42215233240870144 from the Numbermatics database.
Names of 42215233240870144
- Cardinal: 42215233240870144 can be written as Forty-two quadrillion, two hundred fifteen trillion, two hundred thirty-three billion, two hundred forty million, eight hundred seventy thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.2215233240870144 × 1016
Factors of 42215233240870144
Divisors of 42215233240870144
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 4 7 8 13 14 16 17 26 28 31 32 34 49 52 56 62 64 68 91 98 104 112 119 124 128 136 169 182 196 208 217 221 224 238 248 256 272 289 338 343 364 392 403 416 434 442 448 476 496 527 544 578 637 676 686 728 784 806 832 833 868 884 896 952 961 992 1054 1088 1156 1183 1274 1352 1372 1456 1519 1547 1568 1612 1664 1666 1736 1768 1792 1904 1922 1984 2023 2108 2176 2312 2366 2548 2704 2744 2821 2873 2912 3038 3094 3136 3224 3328 3332 3472 3536 3689 3757 3808 3844 3968 4046 4216 4352 4459 4624 4732 5096 5239 5408 5488 5642 5746 5824 5831 6076 6188 6272 6448 6664 6727 6851 6944 7072 7378 7514 7616 7688 7936 8092 8281 8432 8918 8959 9248 9464 10192 10243 10478 10633 10816 10829 10976 11284 11492 11648 11662 12152 12376 12493 12544 12896 13328 13454 13702 13888 14144 14161 14756 15028 15232 15376 16184 16337 16562 16864 17836 17918 18496 18928 19747 20111 20384 20486 20956 21266 21632 21658 21952 22568 22984 23296 23324 24304 24752 24986 25792 25823 26299 26656 26908 27404 27776 28288 28322 29512 30056 30464 30752 32368 32674 33124 33728 35672 35836 36673 36992 37856 39494 40222 40768 40972 41912 42532 43264 43316 43904 45136 45968 46648 47089 47957 48608 48841 49504 49972 51584 51646 52598 53312 53816 54808 55552 56576 56644 57967 59024 60112 61504 62713 64736 65348 66248 67456 71344 71672 71701 73346 73984 75712 75803 78988 80444 81536 81944 83824 85064 86632 87451 87808 89063 90272 91936 93296 94178 95914 97216 97682 99008 99127 99944 103168 103292 105196 106624 107632 109616 113288 114359 115934 116467 118048 120224 123008 125426 129472 130696 132496 133159 134912 138229 140777 142688 143344 143402 146692 151424 151606 157976 160888 162409 163072 163888 167648 170128 173264 174131 174902 178126 180544 180761 183872 184093 186592 188356 191828 194432 195364 198016 198254 199888 206584 210392 212381 213248 215264 219232 226576 228718 231868 232934 236096 240448 246016 250852 256711 258944 261392 264992 266318 276458 277729 281554 285376 286688 286804 293384 302848 303212 315952 317533 321776 324818 327776 329623 335296 335699 340256 341887 346528 348262 349804 356252 361088 361522 367744 368186 373184 376712 383656 388864 390728 396032 396508 399776 413168 420784 424762 430528 438464 438991 453152 457436 463736 465868 472192 480896 501704 501907 513422 517888 522784 529984 532636 552916 555458 563108 570752 573376 573608 586768 606424 612157 623441 631904 635066 643552 649636 655552 659246 670592 671398 680512 683774 693056 696524 699608 712504 722176 723044 735488 736372 746368 753424 767312 781456 793016 799552 800513 815269 826336 841568 849524 861056 876928 877982 906304 914872 927472 931736 932113 944384 961792 985439 1003408 1003814 1026844 1045568 1059968 1065272 1105832 1110916 1126216 1136863 1141504 1146752 1147216 1173536 1212848 1218917 1224314 1246882 1263808 1270132 1287104 1288651 1299272 1311104 1318492 1341184 1342796 1361024 1367548 1386112 1393048 1399216 1425008 1446088 1472744 1486667 1492736 1506848 1514071 1534624 1562912 1586032 1599104 1601026 1630538 1652672 1683136 1699048 1722112 1731067 1753856 1755964 1796977 1812608 1829744 1854944 1863472 1864226 1944103 1970878 2006816 2007628 2053688 2091136 2119936 2130544 2211664 2221832 2222731 2252432 2263703 2273726 2293504 2294432 2347072 2349893 2393209 2425696 2437834 2448628 2493764 2527616 2540264 2574208 2577302 2598544 2622208 2636984 2685592 2722048 2735096 2760953 2772224 2786096 2798432 2850016 2892176 2945488 2960227 2973334 3013696 3028142 3069248 3072937 3125824 3172064 3198208 3202052 3261076 3305344 3366272 3398096 3462134 3511928 3513349 3593954 3610477 3625216 3659488 3709888 3726944 3728452 3888206 3941756 4013632 4015256 4107376 4127929 4182272 4261088 4285099 4364087 4423328 4443664 4445462 4504864 4527406 4547452 4588864 4694144 4699786 4786418 4851392 4875668 4897256 4987528 5055232 5080528 5148416 5154604 5197088 5273968 5371184 5398061 5470192 5521906 5572192 5596864 5603591 5700032 5706883 5784352 5890976 5920454 5946668 6027392 6056284 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3015373802919296 3247325633913088 5276904155108768 6030747605838592 10553808310217536 21107616620435072 42215233240870144
- Sum of all divisors σ(n): 116812461332548800
- Sum of proper divisors (its aliquot sum) s(n): 74597228091678656
- 42215233240870144 is an abundant number, because the sum of its proper divisors (74597228091678656) is greater than itself. Its abundance is 32381994850808512
Bases of 42215233240870144
- Binary: 100101011111101010000111111011010110111010101101000000002
- Hexadecimal: 0x95FA87ED6EAD00
- Base-36: BJO1UF6LB0G
Squares and roots of 42215233240870144
- 42215233240870144 squared (422152332408701442) is 1782125917581067561425530270580736
- 42215233240870144 cubed (422152332408701443) is 75232861275284489888204447715415137102628843945984
-
The
square root of 42215233240870144 is 205463459.6245038993 -
The
cube root of 42215233240870144 is 348195.4280641007
Scales and comparisons
How big is 42215233240870144?- 42,215,233,240,870,144 seconds is equal to 1,342,313,836 years, 40 weeks, 3 hours, 29 minutes, 4 seconds.
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To count from 1 to 42,215,233,240,870,144 would take you about four billion, twenty-six million, nine hundred forty-one thousand, five hundred ten 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 42215233240870144 cubic inches would be around 29016.3 feet tall.
Recreational maths with 42215233240870144
- 42215233240870144 backwards is 44107804233251224
- 42215233240870144 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42215233240870144's digits is 52
- More coming soon!
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The information we have on file for 42215233240870144 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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