42457748655168
42,457,748,655,168 is an even composite number composed of eight prime numbers multiplied together.
42457748655168 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 42457748655168:
26 × 32 × 73 × 11 × 19 × 31 × 41 × 809
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 11 × 19 × 31 × 41 × 809)See below for interesting mathematical facts about the number 42457748655168 from the Numbermatics database.
Names of 42457748655168
- Cardinal: 42457748655168 can be written as Forty-two trillion, four hundred fifty-seven billion, seven hundred forty-eight million, six hundred fifty-five thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 4.2457748655168 × 1013
Factors of 42457748655168
Divisors of 42457748655168
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 19 21 22 24 28 31 32 33 36 38 41 42 44 48 49 56 57 62 63 64 66 72 76 77 82 84 88 93 96 98 99 112 114 123 124 126 132 133 144 147 152 154 164 168 171 176 186 192 196 198 209 217 224 228 231 246 248 252 264 266 279 287 288 294 304 308 328 336 341 342 343 352 369 372 392 396 399 418 434 441 448 451 456 462 492 496 504 528 532 539 558 574 576 588 589 608 616 627 651 656 672 682 684 686 693 704 738 744 779 784 792 798 809 836 861 868 882 902 912 924 931 984 992 1008 1023 1029 1056 1064 1078 1116 1148 1176 1178 1197 1216 1232 1254 1271 1302 1312 1344 1353 1364 1368 1372 1386 1463 1476 1488 1519 1558 1568 1584 1596 1617 1618 1672 1722 1736 1764 1767 1804 1824 1848 1862 1881 1953 1968 1984 2009 2016 2046 2058 2112 2128 2156 2232 2296 2337 2352 2356 2387 2394 2427 2464 2508 2542 2583 2604 2624 2706 2728 2736 2744 2772 2793 2926 2952 2976 3038 3069 3087 3116 3136 3157 3168 3192 3234 3236 3344 3444 3472 3528 3534 3608 3648 3696 3724 3762 3773 3813 3906 3936 4018 4032 4059 4092 4116 4123 4256 4312 4389 4464 4557 4592 4674 4704 4712 4774 4788 4851 4854 4928 5016 5084 5166 5208 5301 5412 5453 5456 5472 5488 5544 5586 5663 5852 5904 5952 6027 6076 6138 6174 6232 6314 6336 6384 6468 6472 6479 6517 6688 6888 6944 7011 7056 7068 7161 7216 7281 7392 7448 7524 7546 7626 7812 7872 8036 8118 8184 8232 8246 8379 8512 8569 8624 8778 8897 8899 8928 9114 9184 9348 9408 9424 9471 9548 9576 9702 9708 10032 10168 10241 10332 10416 10602 10633 10824 10906 10912 10944 10976 11088 11172 11319 11326 11439 11704 11808 12054 12152 12276 12348 12369 12464 12628 12768 12936 12944 12958 13034 13167 13376 13671 13776 13888 13981 14022 14063 14112 14136 14322 14432 14562 14784 14896 15048 15092 15252 15371 15624 16072 16236 16359 16368 16464 16492 16709 16758 16989 17138 17248 17556 17794 17798 17856 18081 18228 18368 18696 18848 18942 19096 19152 19404 19416 19437 19551 20064 20336 20482 20664 20832 21204 21266 21483 21648 21812 21824 21952 22099 22176 22344 22638 22652 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19951949556 20103100689 20630587296 20751587808 21060391198 21133772352 21400074927 21574059276 21739758656 22571902528 22802228064 22974972216 23277274482 23535337392 24028154304 24069018512 24457228488 24656067744 25393390344 26240882976 26257111104 26602599408 26804134252 27077645826 27251443296 27951118272 28533433236 28765412368 29021017536 30633296288 30945880944 31036365976 31127381712 31380449856 31590586797 32361088914 32609637984 33404995008 33857853792 34462458324 34915911723 35470132544 36042231456 36103527768 36984101616 38044577648 39385666656 39903899112 40206201378 41261174592 41503175616 42120782396 42800149854 43148118552 45604456128 45949944432 46554548964 47070674784 48138037024 48914456976 49312135488 50786780688 52481765952 53205198816 53608268504 54155291652 54502886592 57066866472 57530824736 60309302067 61266592576 61891761888 62072731952 62254763424 63181173594 64722177828 65219275968 67715707584 68924916648 69831823446 72084462912 72207055536 73711369193 73968203232 76089155296 78771333312 79807798224 80412402756 84241564792 85600299708 86296237104 91899888864 93109097928 94141349568 94771760391 96276074048 97828913952 101573561376 106410397632 107216537008 108310583304 114133732944 115061649472 120618604134 123783523776 124145463904 124509526848 126362347188 129444355656 137849833296 139663646892 144414111072 147422738386 147936406464 152178310592 159615596448 160824805512 168483129584 171200599416 172592474208 183799777728 186218195856 189543520782 195657827904 203147122752 214433074016 216621166608 221134107579 228267465888 241237208268 248290927808 252724694376 258888711312 275699666592 279327293784 288828222144 294845476772 319231192896 321649611024 336966259168 342401198832 345184948416 372436391712 379087041564 428866148032 433242333216 442268215158 456534931776 482474416536 505449388752 517777422624 551399333184 558654587568 589690953544 643299222048 663402322737 673932518336 684802397664 744872783424 758174083128 866484666432 884536430316 964948833072 1010898777504 1035554845248 1117309175136 1179381907088 1286598444096 1326804645474 1369604795328 1516348166256 1769072860632 1929897666144 2021797555008 2234618350272 2358763814176 2653609290948 3032696332512 3538145721264 3859795332288 4717527628352 5307218581896 6065392665024 7076291442528 10614437163792 14152582885056 21228874327584 42457748655168
- Sum of all divisors σ(n): 172545085440000
- Sum of proper divisors (its aliquot sum) s(n): 130087336784832
- 42457748655168 is an abundant number, because the sum of its proper divisors (130087336784832) is greater than itself. Its abundance is 87629588129664
Bases of 42457748655168
- Binary: 10011010011101011101110000011011001100010000002
- Hexadecimal: 0x269D7706CC40
- Base-36: F1STJBM80
Squares and roots of 42457748655168
- 42457748655168 squared (424577486551682) is 1802660420865420112573108224
- 42457748655168 cubed (424577486551683) is 76536903059723371671316224865617720901632
-
The
square root of 42457748655168 is 6515961.0691875685 -
The
cube root of 42457748655168 is 34886.0919054315
Scales and comparisons
How big is 42457748655168?- 42,457,748,655,168 seconds is equal to 1,350,025 years, 3 weeks, 6 days, 22 hours, 52 minutes, 48 seconds.
-
To count from 1 to 42,457,748,655,168 would take you about three million, three hundred seventy-five thousand and sixty-two 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 42457748655168 cubic inches would be around 2907.2 feet tall.
Recreational maths with 42457748655168
- 42457748655168 backwards is 86155684775424
- 42457748655168 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42457748655168's digits is 72
- More coming soon!
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"Number 42457748655168 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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Numbermatics. (2024). Number 42457748655168 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/42457748655168/
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The information we have on file for 42457748655168 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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