42942135417344352
42,942,135,417,344,352 is an even composite number composed of five prime numbers multiplied together.
What does the number 42942135417344352 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
42942135417344352 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 42942135417344352:
25 × 32 × 72 × 433 × 3373
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 43 × 43 × 43 × 337 × 337 × 337)See below for interesting mathematical facts about the number 42942135417344352 from the Numbermatics database.
Names of 42942135417344352
- Cardinal: 42942135417344352 can be written as Forty-two quadrillion, nine hundred forty-two trillion, one hundred thirty-five billion, four hundred seventeen million, three hundred forty-four thousand, three hundred fifty-two.
Scientific notation
- Scientific notation: 4.2942135417344352 × 1016
Factors of 42942135417344352
Divisors of 42942135417344352
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 43 48 49 56 63 72 84 86 96 98 112 126 129 144 147 168 172 196 224 252 258 288 294 301 336 337 344 387 392 441 504 516 588 602 672 674 688 774 784 882 903 1008 1011 1032 1176 1204 1348 1376 1548 1568 1764 1806 1849 2016 2022 2064 2107 2352 2359 2408 2696 2709 3033 3096 3528 3612 3698 4044 4128 4214 4704 4718 4816 5392 5418 5547 6066 6192 6321 7056 7077 7224 7396 8088 8428 9436 9632 10784 10836 11094 12132 12384 12642 12943 14112 14154 14448 14491 14792 16176 16513 16641 16856 18872 18963 21231 21672 22188 24264 25284 25886 28308 28896 28982 29584 32352 33026 33282 33712 37744 37926 38829 42462 43344 43473 44376 48528 49539 50568 51772 56616 57964 59168 66052 66564 67424 75488 75852 77658 79507 84924 86688 86946 88752 90601 97056 99078 101136 101437 103544 113232 113569 115928 116487 130419 132104 133128 148617 151704 155316 159014 169848 173892 177504 181202 198156 202272 202874 207088 226464 227138 231856 232974 238521 260838 264208 266256 271803 297234 303408 304311 310632 318028 339696 340707 347784 362404 396312 405748 414176 454276 463712 465948 477042 521676 528416 532512 543606 556549 594468 606816 608622 621264 623113 636056 679392 681414 695568 710059 715563 724808 792624 794983 811496 815409 908552 912933 931896 954084 1022121 1043352 1087212 1113098 1188936 1217244 1242528 1246226 1272112 1362828 1391136 1420118 1431126 1449616 1585248 1589966 1622992 1630818 1669647 1817104 1825866 1863792 1869339 1908168 2044242 2086704 2130177 2174424 2226196 2377872 2384949 2434488 2492452 2544224 2725656 2840236 2862252 2899232 3179932 3245984 3261636 3339294 3634208 3651732 3727584 3738678 3816336 3895843 4088484 4173408 4260354 4348848 4361791 4452392 4755744 4769898 4868976 4883467 4984904 5008941 5451312 5564881 5608017 5680472 5724504 6359864 6390531 6523272 6678588 7154847 7303464 7477356 7632672 7791686 8176968 8520708 8697696 8723582 8904784 9539796 9737952 9766934 9969808 10017882 10902624 11129762 11216034 11360944 11449008 11687529 12719728 12781062 13046544 13085373 13357176 14309694 14606928 14650401 14954712 15583372 16353936 16694643 17041416 17447164 17809568 19079592 19533868 19939616 20035764 22259524 22432068 22721888 22898016 23375058 25439456 25562124 26093088 26170746 26714352 26793859 28619388 29213856 29300802 29909424 30532537 31166744 32707872 33389286 34082832 34184269 34894328 35062587 38159184 38272753 39067736 39256119 40071528 43951203 44519048 44864136 46750116 50083929 51124248 52341492 53428704 53587718 57238776 58601604 59818848 61065074 62333488 66778572 68165664 68368538 69788656 70125174 76318368 76545506 78135472 78512238 80143056 80381577 87902406 89038096 89728272 91597611 93500232 100167858 102248496 102552807 104682984 107175436 114477552 114818259 117203208 122130148 124666976 133557144 136737076 139577312 140250348 153091012 156270944 157024476 160286112 160763154 175804812 178076192 179456544 183195222 187000464 187557013 200335716 204496992 205105614 209365968 209989081 214350872 228955104 229636518 234406416 239289883 241144731 244260296 267114288 267909271 273474152 274792833 280500696 306182024 307658421 314048952 321526308 344454777 351609624 366390444 374000928 375114026 400671432 410211228 418731936 419978162 428701744 459273036 468812832 478579766 482289462 488520592 534228576 535818542 546948304 549585666 561001392 562671039 612364048 615316842 628097904 629967243 643052616 688909554 703219248 717869649 732780888 750228052 801342864 803727813 820422456 839956324 857403488 918546072 957159532 964578924 977041184 1071637084 1093896608 1099171332 1122002784 1125342078 1224728096 1230633684 1256195808 1259934486 1286105232 1312899091 1377819108 1406438496 1435739298 1465561776 1469923567 1500456104 1602685728 1607455626 1640844912 1645728379 1679912648 1688013117 1837092144 1875364897 1889901729 1914319064 1929157848 2143274168 2153608947 2198342664 2250684156 2411183439 2461267368 2519868972 2572210464 2625798182 2755638216 2871478596 2931123552 2939847134 3000912208 3214911252 3281689824 3291456758 3359825296 3376026234 3674184288 3750729794 3779803458 3828638128 3858315696 3938697273 4286548336 4307217894 4396685328 4409770701 4501368312 4822366878 4922534736 4937185137 5039737944 5251596364 5511276432 5626094691 5742957192 5879694268 6001824416 6429822504 6582913516 6719650592 6752052468 7501459588 7559606916 7657276256 7716631392 7877394546 8573096672 8614435788 8793370656 8819541402 9002736624 9029530483 9644733756 9845069472 9874370274 10079475888 10289464969 10503192728 11022552864 11252189382 11485914384 11520098653 11759388536 11816091819 12859645008 13165827032 13229312103 13504104936 14811555411 15002919176 15119213832 15754789092 16878284073 17228871576 17639082804 18005473248 18059060966 19289467512 19748740548 20158951776 20578929938 21006385456 22504378764 22971828768 23040197306 23518777072 23632183638 25719290016 26331654064 26458624206 27008209872 27088591449 29623110822 30005838352 30238427664 30868394907 31509578184 33756568146 34457743152 34560295959 35278165608 36118121932 38578935024 39497481096 41157859876 42012770912 45008757528 46080394612 47037554144 47264367276 52663308128 52917248412 54016419744 54177182898 59246221644 60011676704 60476855328 61736789814 63019156368 63206713381 67513136292 68915486304 69120591918 70556331216 70766320297 72236243864 77157870048 78994962192 80640690571 81265774347 82315719752 90017515056 92160789224 92605184721 94528734552 103680887877 105834496824 108354365796 118492443288 123473579628 126038312736 126413426762 135026272584 138241183836 141112662432 141532640594 144472487728 157989924384 161281381142 162531548694 164631439504 180035030112 184321578448 185210369442 189057469104 189620140143 207361775754 211668993648 212298960891 216708731592 236984886576 241922071713 246947159256 252826853524 270052545168 276482367672 283065281188 288944975456 322562762284 325063097388 329262879008 368643156896 370420738884 378114938208 379240280286 414723551508 423337987296 424597921782 433417463184 442446993667 473969773152 483844143426 493894318512 495364242079 505653707048 540105090336 552964735344 566130562376 568860420429 636896882673 645125524568 650126194776 725766215139 740841477768 758480560572 829447103016 849195843564 866834926368 884893987334 967688286852 987788637024 990728484158 1011307414096 1105929470688 1132261124752 1137720840858 1273793765346 1290251049136 1300252389552 1327340981001 1451532430278 1481682955536 1486092726237 1516961121144 1658894206032 1698391687128 1769787974668 1935376573704 1981456968316 2022614828192 2264522249504 2275441681716 2547587530692 2580502098272 2600504779104 2654681962002 2903064860556 2963365911072 2972185452474 3033922242288 3042951772771 3317788412064 3396783374256 3467549694553 3539575949336 3870753147408 3962913936632 3982022943003 4458278178711 4550883363432 5095175061384 5309363924004 5806129721112 5944370904948 6067844484576 6085903545542 6793566748512 6935099389106 7079151898672 7741506294816 7925827873264 7964045886006 8916556357422 9101766726864 9128855318313 10190350122768 10402649083659 10618727848008 11612259442224 11888741809896 12171807091084 13870198778212 14158303797344 15851655746528 15928091772012 17833112714844 18203533453728 18257710636626 20380700245536 20805298167318 21237455696016 21300662409397 23224518884448 23777483619792 24343614182168 27386565954939 27740397556424 31207947250977 31856183544024 35666225429688 36515421273252 41610596334636 42474911392032 42601324818794 47554967239584 48687228364336 54773131909878 55480795112848 62415894501954 63712367088048 63901987228191 71332450859376 73030842546504 83221192669272 85202649637588 97374456728672 109546263819756 110961590225696 124831789003908 127424734176096 127803974456382 142664901718752 146061685093008 149104636865779 166442385338544 170405299275176 191705961684573 219092527639512 249663578007816 255607948912764 292123370186016 298209273731558 332884770677088 340810598550352 383411923369146 438185055279024 447313910597337 499327156015632 511215897825528 596418547463116 681621197100704 766823846738292 876370110558048 894627821194674 998654312031264 1022431795651056 1192837094926232 1341941731792011 1533647693476584 1789255642389348 2044863591302112 2385674189852464 2683883463584022 3067295386953168 3578511284778696 4771348379704928 5367766927168044 6134590773906336 7157022569557392 10735533854336088 14314045139114784 21471067708672176 42942135417344352
- Sum of all divisors σ(n): 145869162130692000
- Sum of proper divisors (its aliquot sum) s(n): 102927026713347648
- 42942135417344352 is an abundant number, because the sum of its proper divisors (102927026713347648) is greater than itself. Its abundance is 59984891296003296
Bases of 42942135417344352
- Binary: 100110001000111110100101000001110111001010010001011000002
- Hexadecimal: 0x988FA507729160
- Base-36: BQTPSO6EMW0
Squares and roots of 42942135417344352
- 42942135417344352 squared (429421354173443522) is 1844026994201540184319348146299904
- 42942135417344352 cubed (429421354173443523) is 79186456898241006768515876837129141234974632542208
-
The
square root of 42942135417344352 is 207224842.6645423997 -
The
cube root of 42942135417344352 is 350182.5861406087
Scales and comparisons
How big is 42942135417344352?- 42,942,135,417,344,352 seconds is equal to 1,365,427,077 years, 27 weeks, 2 days, 6 hours, 19 minutes, 12 seconds.
-
To count from 1 to 42,942,135,417,344,352 would take you about four billion, ninety-six million, two hundred eighty-one thousand, two hundred thirty-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 42942135417344352 cubic inches would be around 29181.9 feet tall.
Recreational maths with 42942135417344352
- 42942135417344352 backwards is 25344371453124924
- 42942135417344352 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42942135417344352's digits is 63
- More coming soon!
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"Number 42942135417344352 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 42942135417344352 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/42942135417344352/
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The information we have on file for 42942135417344352 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 42942135417344352, math, Factors of 42942135417344352, curriculum, school, college, exams, university, Prime factorization of 42942135417344352, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, nine hundred forty-two trillion, one hundred thirty-five billion, four hundred seventeen million, three hundred forty-four thousand, three hundred fifty-two.