42102314012848320
42,102,314,012,848,320 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42102314012848320 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 672 divisors.
42102314012848320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 42102314012848320:
26 × 32 × 5 × 7 × 11 × 659 × 288096073
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 11 × 659 × 288096073)See below for interesting mathematical facts about the number 42102314012848320 from the Numbermatics database.
Names of 42102314012848320
- Cardinal: 42102314012848320 can be written as Forty-two quadrillion, one hundred two trillion, three hundred fourteen billion, twelve million, eight hundred forty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 4.210231401284832 × 1016
Factors of 42102314012848320
Divisors of 42102314012848320
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 28 30 32 33 35 36 40 42 44 45 48 55 56 60 63 64 66 70 72 77 80 84 88 90 96 99 105 110 112 120 126 132 140 144 154 160 165 168 176 180 192 198 210 220 224 231 240 252 264 280 288 308 315 320 330 336 352 360 385 396 420 440 448 462 480 495 504 528 560 576 616 630 659 660 672 693 704 720 770 792 840 880 924 960 990 1008 1056 1120 1155 1232 1260 1318 1320 1344 1386 1440 1540 1584 1680 1760 1848 1977 1980 2016 2112 2240 2310 2464 2520 2636 2640 2772 2880 3080 3168 3295 3360 3465 3520 3696 3954 3960 4032 4613 4620 4928 5040 5272 5280 5544 5931 6160 6336 6590 6720 6930 7249 7392 7908 7920 9226 9240 9885 10080 10544 10560 11088 11862 12320 13180 13839 13860 14498 14784 15816 15840 18452 18480 19770 20160 21088 21747 22176 23065 23724 24640 26360 27678 27720 28996 29655 31632 31680 36245 36904 36960 39540 41517 42176 43494 44352 46130 47448 50743 52720 55356 55440 57992 59310 63264 65241 69195 72490 73808 73920 79080 83034 86988 92260 94896 101486 105440 108735 110712 110880 115984 118620 126528 130482 138390 144980 147616 152229 158160 166068 173976 184520 189792 202972 207585 210880 217470 221424 221760 231968 237240 253715 260964 276780 289960 295232 304458 316320 326205 332136 347952 369040 379584 405944 415170 434940 442848 456687 463936 474480 507430 521928 553560 579920 608916 632640 652410 664272 695904 738080 761145 811888 830340 869880 885696 913374 948960 1014860 1043856 1107120 1159840 1217832 1304820 1328544 1391808 1476160 1522290 1623776 1660680 1739760 1826748 1897920 2029720 2087712 2214240 2283435 2319680 2435664 2609640 2657088 3044580 3247552 3321360 3479520 3653496 4059440 4175424 4428480 4566870 4871328 5219280 6089160 6642720 6959040 7306992 8118880 9133740 9742656 10438560 12178320 13285440 14613984 16237760 18267480 20877120 24356640 29227968 36534960 48713280 73069920 146139840 288096073 576192146 864288219 1152384292 1440480365 1728576438 2016672511 2304768584 2592864657 2880960730 3169056803 3457152876 4033345022 4321441095 4609537168 5185729314 5761921460 6050017533 6338113606 6914305752 8066690044 8642882190 9219074336 9507170409 10083362555 10371458628 11523842920 12100035066 12676227212 12964323285 13828611504 15845284015 16133380088 17285764380 18150052599 18438148672 19014340818 20166725110 20742917256 22183397621 23047685840 24200070132 25352454424 25928646570 27657223008 28521511227 30250087665 31690568030 32266760176 34571528760 36300105198 38028681636 40333450220 41485834512 44366795242 46095371680 47535852045 48400140264 50704908848 51857293140 55314446016 57043022454 60500175330 63381136060 64533520352 66550192863 69143057520 72600210396 76057363272 80666900440 82971669024 88733590484 90750262995 92190743360 95071704090 96800280528 101409817696 103714586280 110916988105 114086044908 121000350660 126762272120 129067040704 133100385726 138286115040 142607556135 145200420792 152114726544 161333800880 165943338048 177467180968 181500525990 189855312107 190143408180 193600561056 199650578589 202819635392 207429172560 221833976210 228172089816 242000701320 253524544240 266200771452 276572230080 285215112270 290400841584 304229453088 322667601760 332750964315 354934361936 363001051980 379710624214 380286816360 387201122112 399301157178 414858345120 443667952420 456344179632 484001402640 507049088480 532401542904 569565936321 570430224540 580801683168 608458906176 645335203520 665501928630 709868723872 726002103960 759421248428 760573632720 798602314356 829716690240 887335904840 912688359264 949276560535 968002805280 998252892945 1014098176960 1064803085808 1139131872642 1140860449080 1161603366336 1328987184749 1331003857260 1419737447744 1452004207920 1518842496856 1521147265440 1597204628712 1708697808963 1774671809680 1825376718528 1898553121070 1936005610560 1996505785890 2088408433177 2129606171616 2278263745284 2281720898160 2657974369498 2662007714520 2847829681605 2904008415840 3037684993712 3042294530880 3194409257424 3417395617926 3549343619360 3797106242140 3986961554247 3993011571780 4176816866354 4259212343232 4556527490568 4563441796320 5315948738996 5324015429040 5695659363210 5808016831680 6075369987424 6265225299531 6388818514848 6644935923745 6834791235852 7098687238720 7594212484280 7973923108494 7986023143560 8353633732708 8543489044815 9113054981136 9126883592640 10442042165885 10631897477992 10648030858080 11391318726420 11960884662741 12150739974848 12530450599062 12777637029696 13289871847490 13669582471704 14618859032239 15188424968560 15947846216988 15972046287120 16707267465416 17086978089630 18226109962272 18795675898593 19934807771235 20884084331770 21263794955984 21296061716160 22782637452840 23921769325482 25060901198124 26579743694980 27339164943408 29237718064478 30376849937120 31326126497655 31895692433976 31944092574240 33414534930832 34173956179260 36452219924544 37591351797186 39869615542470 41768168663540 42527589911968 43856577096717 45565274905680 47843538650964 50121802396248 53159487389960 54678329886816 58475436128956 59804423313705 60753699874240 62652252995310 63791384867952 63888185148480 66829069861664 68347912358520 73094295161195 75182703594372 79739231084940 83536337327080 85055179823936 87713154193434 91130549811360 93978379492965 95687077301928 100243604792496 106318974779920 109356659773632 116950872257912 119608846627410 125304505990620 127582769735904 131569731290151 133658139723328 136695824717040 146188590322390 150365407188744 159478462169880 167072674654160 175426308386868 182261099622720 187956758985930 191374154603856 200487209584992 212637949559840 219282885483585 233901744515824 239217693254820 250609011981240 255165539471808 263139462580302 273391649434080 292377180644780 300730814377488 318956924339760 334145349308320 350852616773736 375913517971860 382748309207712 400974419169984 425275899119680 438565770967170 467803489031648 478435386509640 501218023962480 526278925160604 546783298868160 584754361289560 601461628754976 637913848679520 657848656450755 668290698616640 701705233547472 751827035943720 765496618415424 877131541934340 935606978063296 956870773019280 1002436047924960 1052557850321208 1169508722579120 1202923257509952 1275827697359040 1315697312901510 1403410467094944 1503654071887440 1754263083868680 1913741546038560 2004872095849920 2105115700642416 2339017445158240 2631394625803020 2806820934189888 3007308143774880 3508526167737360 3827483092077120 4210231401284832 4678034890316480 5262789251606040 6014616287549760 7017052335474720 8420462802569664 10525578503212080 14034104670949440 21051157006424160 42102314012848320
- Sum of all divisors σ(n): 180821818365027840
- Sum of proper divisors (its aliquot sum) s(n): 138719504352179520
- 42102314012848320 is an abundant number, because the sum of its proper divisors (138719504352179520) is greater than itself. Its abundance is 96617190339331200
Bases of 42102314012848320
- Binary: 100101011001001111010100110111101111010100110000110000002
- Hexadecimal: 0x9593D4DEF530C0
- Base-36: BIK0W1LPRK0
Squares and roots of 42102314012848320
- 42102314012848320 squared (421023140128483202) is 1772604845236484006190039326822400
- 42102314012848320 cubed (421023140128483203) is 74630765814842848169739801596636913117198778368000
-
The
square root of 42102314012848320 is 205188484.1136273905 -
The
cube root of 42102314012848320 is 347884.6945160939
Scales and comparisons
How big is 42102314012848320?- 42,102,314,012,848,320 seconds is equal to 1,338,723,354 years, 31 weeks, 1 day, 15 hours, 12 minutes.
-
To count from 1 to 42,102,314,012,848,320 would take you about four billion, sixteen million, one hundred seventy thousand and sixty-three 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 42102314012848320 cubic inches would be around 28990.4 feet tall.
Recreational maths with 42102314012848320
- 42102314012848320 backwards is 02384821041320124
- 42102314012848320 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42102314012848320's digits is 45
- More coming soon!
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The information we have on file for 42102314012848320 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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