42145237962233856
42,145,237,962,233,856 is an even composite number composed of seven prime numbers multiplied together.
42145237962233856 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 42145237962233856:
211 × 32 × 41 × 53 × 107 × 619 × 15887
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 41 × 53 × 107 × 619 × 15887)See below for interesting mathematical facts about the number 42145237962233856 from the Numbermatics database.
Names of 42145237962233856
- Cardinal: 42145237962233856 can be written as Forty-two quadrillion, one hundred forty-five trillion, two hundred thirty-seven billion, nine hundred sixty-two million, two hundred thirty-three thousand, eight hundred fifty-six.
Scientific notation
- Scientific notation: 4.2145237962233856 × 1016
Factors of 42145237962233856
Divisors of 42145237962233856
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 53 64 72 82 96 106 107 123 128 144 159 164 192 212 214 246 256 288 318 321 328 369 384 424 428 477 492 512 576 619 636 642 656 738 768 848 856 954 963 984 1024 1152 1238 1272 1284 1312 1476 1536 1696 1712 1857 1908 1926 1968 2048 2173 2304 2476 2544 2568 2624 2952 3072 3392 3424 3714 3816 3852 3936 4346 4387 4608 4952 5088 5136 5248 5571 5671 5904 6144 6519 6784 6848 7428 7632 7704 7872 8692 8774 9216 9904 10176 10272 10496 11142 11342 11808 13038 13161 13568 13696 14856 15264 15408 15744 15887 17013 17384 17548 18432 19557 19808 20352 20544 20992 22284 22684 23616 25379 26076 26322 27136 27392 29712 30528 30816 31488 31774 32807 34026 34768 35096 39114 39483 39616 40704 41088 41984 44568 45368 47232 47661 50758 51039 52152 52644 54272 54784 59424 61056 61632 62976 63548 65614 66233 68052 69536 70192 76137 78228 78966 79232 81408 82176 83968 89136 90736 94464 95322 98421 101516 102078 104304 105288 108544 109568 118848 122112 123264 125952 127096 131228 132466 136104 139072 140384 142983 152274 156456 157932 158464 162816 164352 178272 181472 188928 190644 196842 198699 203032 204156 208608 210576 219136 228411 232511 237696 244224 246528 251904 254192 262456 264932 272208 278144 280768 285966 295263 304548 312912 315864 316928 325632 328704 356544 362944 377856 381288 393684 397398 406064 408312 417216 421152 456822 465022 475392 488448 493056 508384 524912 529864 544416 556288 561536 571932 590526 596097 609096 625824 631728 633856 651367 657408 697533 713088 725888 755712 762576 787368 794796 812128 816624 834432 842011 842304 913644 930044 950784 976896 986112 1016768 1049824 1059728 1088832 1112576 1123072 1143864 1181052 1192194 1218192 1251648 1263456 1267712 1302734 1345087 1395066 1426176 1451776 1525152 1574736 1589592 1624256 1633248 1668864 1684022 1684608 1699909 1827288 1860088 1901568 1954101 1972224 2033536 2092599 2099648 2119456 2177664 2225152 2246144 2287728 2362104 2384388 2436384 2503296 2526033 2526912 2605468 2690174 2715553 2790132 2852352 2903552 3050304 3149472 3179184 3248512 3266496 3337728 3368044 3369216 3399818 3510349 3654576 3720176 3803136 3908202 4035261 4067072 4185198 4199296 4238912 4355328 4450304 4492288 4575456 4724208 4768776 4872768 5006592 5052066 5053824 5099727 5210936 5380348 5431106 5580264 5704704 5807104 5862303 6100608 6298944 6358368 6497024 6532992 6675456 6736088 6738432 6799636 7020698 7309152 7440352 7578099 7816404 8070522 8134144 8146659 8370396 8398592 8477824 8710656 8984576 9150912 9448416 9537552 9745536 9834053 10013184 10104132 10107648 10199454 10421872 10531047 10760696 10862212 11160528 11409408 11614208 11724606 12105783 12201216 12597888 12716736 12994048 13065984 13350912 13472176 13476864 13599272 14041396 14618304 14880704 15156198 15299181 15632808 16141044 16268288 16293318 16740792 16797184 16955648 17421312 18301824 18896832 19075104 19491072 19668106 20026368 20208264 20215296 20398908 20843744 21062094 21521392 21724424 22321056 23449212 24211566 24402432 24439977 25195776 25433472 25988096 26131968 26944352 26953728 27198544 28082792 29236608 29502159 29761408 30312396 30598362 31265616 31593141 32282088 32536576 32586636 33481584 33594368 33911296 34522451 34842624 36603648 37793664 38150208 38982144 39336212 40052736 40416528 40430592 40797816 41687488 42124188 43042784 43448848 44642112 46898424 48423132 48804864 48879954 50391552 50866944 51976192 52263936 53888704 54397088 56165584 58473216 59004318 59522816 60624792 61196724 62531232 63186282 64564176 65173272 66963168 67188736 67822592 69044902 69696269 73207296 75587328 76300416 77964288 78672424 80833056 80861184 81595632 83374976 84248376 86085568 86897696 88506477 89284224 90095177 93796848 96846264 97609728 97759908 100783104 101733888 103567353 104527872 107777408 108794176 112331168 116946432 118008636 119045632 121249584 122393448 125062464 126372564 129128352 130346544 133926336 135645184 138089804 139392538 143924309 146414592 151174656 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142737958912 147378492416 150106984992 151523088624 154827330432 159079454208 160580203776 165800803968 167306743689 170955177352 172567962044 177307308336 181261264896 184514922496 192324574521 200142646656 202030784832 206436440576 207579287808 212105938944 214106938368 221067738624 223075658252 232240995648 236409744448 256432766028 258851943066 265960962504 266856862208 269374379776 276772383744 294756984832 300213969984 303046177248 309654660864 318158908416 321160407552 331601607936 334613487378 341910354704 345135924088 354614616672 384649149042 388277914599 400285293312 404061569664 412872881152 415158575616 428213876736 442135477248 446151316504 464481991296 472819488896 501920231067 512865532056 517703886132 531921925008 533713724416 538748759552 553544767488 600427939968 606092354496 619309321728 636317816832 642320815104 663203215872 669226974756 683820709408 690271848176 709229233344 769298298084 776555829198 800570586624 808123139328 825745762304 830317151232 884270954496 892302633008 928963982592 945638977792 1003840462134 1025731064112 1035407772264 1063843850016 1067427448832 1077497519104 1200855879936 1212184708992 1238618643456 1284641630208 1326406431744 1338453949512 1367641418816 1380543696352 1418458466688 1538596596168 1553111658396 1601141173248 1616246278656 1660634302464 1784605266016 1857927965184 1891277955584 2007680924268 2051462128224 2070815544528 2127687700032 2154995038208 2286525497083 2401711759872 2424369417984 2477237286912 2652812863488 2676907899024 2735282837632 2761087392704 2836916933376 3077193192336 3106223316792 3202282346496 3232492557312 3569210532032 3715855930368 3782555911168 4015361848536 4102924256448 4141631089056 4255375400064 4573050994166 4803423519744 4848738835968 5353815798048 5470565675264 5522174785408 5673833866752 6154386384672 6212446633584 6464985114624 6859576491249 7138421064064 7431711860736 7565111822336 8030723697072 8205848512896 8283262178112 8510750800128 9146101988332 9606847039488 9697477671936 10707631596096 10941131350528 11044349570816 11347667733504 12308772769344 12424893267168 13719152982498 14276842128128 16061447394144 16411697025792 16566524356224 17021501600256 18292203976664 19394955343872 20578729473747 21415263192192 21882262701056 22088699141632 22695335467008 24617545538688 24849786534336 27438305964996 28553684256256 32122894788288 32823394051584 33133048712448 34043003200512 36584407953328 41157458947494 42830526384384 43764525402112 44177398283264 49235091077376 49699573068672 54876611929992 57107368512512 64245789576576 65646788103168 66266097424896 68086006401024 73168815906656 82314917894988 85661052768768 88354796566528 98470182154752 99399146137344 109753223859984 114214737025024 128491579153152 131293576206336 132532194849792 146337631813312 164629835789976 171322105537536 196940364309504 198798292274688 219506447719968 256983158306304 265064389699584 292675263626624 329259671579952 342644211075072 393880728619008 397596584549376 439012895439936 513966316612608 585350527253248 658519343159904 795193169098752 878025790879872 1027932633225216 1170701054506496 1317038686319808 1756051581759744 2341402109012992 2634077372639616 3512103163519488 4682804218025984 5268154745279232 7024206327038976 10536309490558464 14048412654077952 21072618981116928 42145237962233856
- Sum of all divisors σ(n): 128447301496550400
- Sum of proper divisors (its aliquot sum) s(n): 86302063534316544
- 42145237962233856 is an abundant number, because the sum of its proper divisors (86302063534316544) is greater than itself. Its abundance is 44156825572082688
Bases of 42145237962233856
- Binary: 100101011011101011011110111000011011011010011000000000002
- Hexadecimal: 0x95BADEE1B69800
- Base-36: BIZ8N18WZK0
Squares and roots of 42145237962233856
- 42145237962233856 squared (421452379622338562) is 1776221082893317746981737632628736
- 42145237962233856 cubed (421452379622338563) is 74859260212075583863784139510426775555092057686016
-
The
square root of 42145237962233856 is 205293053.8577324979 -
The
cube root of 42145237962233856 is 348002.8789403621
Scales and comparisons
How big is 42145237962233856?- 42,145,237,962,233,856 seconds is equal to 1,340,088,203 years, 21 weeks, 5 days, 8 hours, 57 minutes, 36 seconds.
-
To count from 1 to 42,145,237,962,233,856 would take you about four billion, twenty million, two hundred sixty-four thousand, six 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 42145237962233856 cubic inches would be around 29000.2 feet tall.
Recreational maths with 42145237962233856
- 42145237962233856 backwards is 65833226973254124
- 42145237962233856 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42145237962233856's digits is 72
- More coming soon!
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"Number 42145237962233856 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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Numbermatics. (2024). Number 42145237962233856 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/42145237962233856/
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The information we have on file for 42145237962233856 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!
Keywords: Divisors of 42145237962233856, math, Factors of 42145237962233856, curriculum, school, college, exams, university, Prime factorization of 42145237962233856, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, one hundred forty-five trillion, two hundred thirty-seven billion, nine hundred sixty-two million, two hundred thirty-three thousand, eight hundred fifty-six.