42133950683136
42,133,950,683,136 is an even composite number composed of six prime numbers multiplied together.
What does the number 42133950683136 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
42133950683136 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 42133950683136:
211 × 35 × 13 × 19 × 31 × 11057
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 13 × 19 × 31 × 11057)See below for interesting mathematical facts about the number 42133950683136 from the Numbermatics database.
Names of 42133950683136
- Cardinal: 42133950683136 can be written as Forty-two trillion, one hundred thirty-three billion, nine hundred fifty million, six hundred eighty-three thousand, one hundred thirty-six.
Scientific notation
- Scientific notation: 4.2133950683136 × 1013
Factors of 42133950683136
Divisors of 42133950683136
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 31 32 36 38 39 48 52 54 57 62 64 72 76 78 81 93 96 104 108 114 117 124 128 144 152 156 162 171 186 192 208 216 228 234 243 247 248 256 279 288 304 312 324 342 351 372 384 403 416 432 456 468 486 494 496 512 513 558 576 589 608 624 648 684 702 741 744 768 806 832 837 864 912 936 972 988 992 1024 1026 1053 1116 1152 1178 1209 1216 1248 1296 1368 1404 1482 1488 1536 1539 1612 1664 1674 1728 1767 1824 1872 1944 1976 1984 2048 2052 2106 2223 2232 2304 2356 2418 2432 2496 2511 2592 2736 2808 2964 2976 3072 3078 3159 3224 3328 3348 3456 3534 3627 3648 3744 3888 3952 3968 4104 4212 4446 4464 4608 4617 4712 4836 4864 4992 5022 5184 5301 5472 5616 5928 5952 6144 6156 6318 6448 6656 6669 6696 6912 7068 7254 7296 7488 7533 7657 7776 7904 7936 8208 8424 8892 8928 9216 9234 9424 9672 9728 9984 10044 10368 10602 10881 10944 11057 11232 11856 11904 12312 12636 12896 13312 13338 13392 13824 14136 14508 14592 14976 15066 15314 15552 15808 15872 15903 16416 16848 17784 17856 18432 18468 18848 19344 19456 19968 20007 20088 20736 21204 21762 21888 22114 22464 22971 23712 23808 24624 25272 25792 26624 26676 26784 27648 28272 29016 29184 29952 30132 30628 31104 31616 31744 31806 32643 32832 33171 33696 35568 35712 36936 37696 38688 38912 39936 40014 40176 41472 42408 43524 43776 44228 44928 45942 47424 47616 47709 49248 50544 51584 53352 53568 55296 56544 58032 58368 59904 60021 60264 61256 62208 63232 63488 63612 65286 65664 66342 67392 68913 71136 71424 73872 75392 77376 79872 80028 80352 82944 84816 87048 87552 88456 89856 91884 94848 95232 95418 97929 98496 99513 101088 103168 106704 107136 113088 116064 116736 119808 120042 120528 122512 124416 126464 127224 130572 131328 132684 134784 137826 142272 142848 143127 143741 147744 150784 154752 160056 160704 165888 169632 174096 175104 176912 179712 183768 189696 190464 190836 195858 196992 199026 202176 206336 206739 210083 213408 214272 226176 232128 239616 240084 241056 245024 248832 252928 254448 261144 262656 265368 269568 275652 284544 285696 286254 287482 295488 298539 301568 309504 320112 321408 339264 342767 348192 350208 353824 359424 367536 379392 381672 391716 393984 398052 404352 412672 413478 420166 426816 428544 431223 452352 464256 480168 482112 490048 497664 505856 508896 522288 525312 530736 539136 551304 569088 571392 572508 574964 590976 597078 603136 619008 620217 630249 640224 642816 678528 685534 696384 707648 718848 735072 758784 763344 783432 787968 796104 808704 825344 826956 840332 853632 857088 862446 895617 904704 928512 960336 964224 980096 1017792 1028301 1044576 1050624 1061472 1078272 1102608 1138176 1145016 1149928 1181952 1194156 1206272 1238016 1240434 1260498 1280448 1285632 1293669 1357056 1371068 1392768 1415296 1470144 1517568 1526688 1566864 1575936 1592208 1617408 1653912 1680664 1707264 1714176 1724892 1791234 1809408 1857024 1860651 1890747 1920672 1928448 1960192 2035584 2056602 2089152 2122944 2156544 2205216 2276352 2290032 2299856 2363904 2388312 2476032 2480868 2520996 2560896 2571264 2587338 2686851 2714112 2731079 2742136 2785536 2830592 2940288 3053376 3084903 3133728 3151872 3184416 3234816 3307824 3361328 3414528 3449784 3582468 3618816 3714048 3721302 3781494 3841344 3856896 3881007 3920384 4071168 4113204 4178304 4245888 4410432 4455971 4552704 4580064 4599712 4727808 4776624 4961736 5041992 5121792 5142528 5174676 5373702 5428224 5462158 5484272 5571072 5661184 5672241 5880576 6106752 6169806 6267456 6368832 6469632 6512573 6615648 6722656 6829056 6899568 7164936 7428096 7442604 7562988 7682688 7713792 7762014 7840768 8142336 8193237 8226408 8356608 8491776 8820864 8911942 9160128 9199424 9254709 9455616 9553248 9923472 10083984 10243584 10349352 10747404 10856448 10924316 10968544 11142144 11322368 11344482 11643021 11761152 12213504 12339612 12534912 12737664 13025146 13231296 13367913 13445312 13658112 13799136 14329872 14885208 15125976 15365376 15427584 15524028 15681536 16284672 16386474 16452816 16713216 16983552 17016723 17641728 17823884 18320256 18398848 18509418 19106496 19537719 19846944 20167968 20487168 20698704 21494808 21848632 21937088 22284288 22644736 22688964 23286042 23522304 24427008 24579711 24679224 25069824 25475328 26050292 26462592 26735826 26890624 27598272 27764127 28659744 29770416 30251952 30730752 31048056 32569344 32772948 32905632 33426432 33967104 34033446 34929063 35283456 35647768 36640512 36797696 37018836 38212992 39075438 39693888 40103739 40335936 40974336 41397408 42989616 43697264 43874176 45377928 46572084 47044608 48854016 49159422 49358448 50139648 50950656 51050169 52100584 52925184 53471652 53781248 55196544 55528254 57319488 58613157 59540832 60503904 61461504 62096112 65545896 65811264 66852864 67934208 68066892 69858126 70566912 71295536 73281024 73595392 73739133 74037672 76425984 78150876 79387776 80207478 80671872 82794816 83292381 84663449 85979232 87394528 87748352 90755856 93144168 97708032 98318844 98716896 100279296 101901312 102100338 104201168 105850368 106943304 107562496 110393088 111056508 114638976 117226314 119081664 120311217 121007808 122923008 124192224 131091792 131622528 136133784 139716252 141133824 142591072 146562048 147190784 147478266 148075344 152851968 156301752 158775552 160414956 161343744 165589632 166584762 169326898 171958464 174789056 175496704 175839471 181511712 186288336 196637688 197433792 200558592 203802624 204200676 208402336 211700736 213886608 215124992 220786176 221217399 222113016 229277952 234452628 238163328 240622434 242015616 248384448 253990347 262183584 263245056 272267568 279432504 285182144 293124096 294381568 294956532 296150688 305703936 312603504 317551104 320829912 322687488 331179264 333169524 338653796 343916928 349578112 350993408 351678942 360933651 363023424 372576672 393275376 394867584 408401352 416804672 423401472 427773216 430249984 441572352 442434798 444226032 458555904 468905256 476326656 481244868 484031232 496768896 507980694 524367168 526490112 527518413 544535136 558865008 570364288 589913064 592301376 611407872 625207008 635102208 641659824 645374976 662358528 663652197 666339048 677307592 687833856 699156224 701986816 703357884 721867302 726046848 745153344 761971041 786550752 789735168 816802704 833609344 855546432 883144704 884869596 888452064 917111808 937810512 952653312 962489736 968062464 993537792 1015961388 1048734336 1052980224 1055036826 1082800953 1089070272 1117730016 1140728576 1179826128 1184602752 1250414016 1270204416 1283319648 1290749952 1324717056 1327304394 1332678096 1354615184 1375667712 1398312448 1406715768 1443734604 1452093696 1490306688 1523942082 1573101504 1579470336 1582555239 1633605408 1667218688 1711092864 1769739192 1776904128 1834223616 1875621024 1905306624 1924979472 1936124928 1987075584 2031922776 2097468672 2105960448 2110073652 2165601906 2178140544 2235460032 2281457152 2285913123 2359652256 2369205504 2500828032 2566639296 2649434112 2654608788 2665356192 2709230368 2751335424 2796624896 2813431536 2887469208 2904187392 2980613376 3047884164 3146203008 3158940672 3165110478 3267210816 3334437376 3422185728 3539478384 3553808256 3751242048 3810613248 3849958944 3872249856 3974151168 4063845552 4194937344 4220147304 4331203812 4356281088 4470920064 4562914304 4571826246 4719304512 4738411008 5001656064 5133278592 5309217576 5330712384 5418460736 5502670848 5593249792 5626863072 5774938416 5808374784 5961226752 6095768328 6292406016 6317881344 6330220956 6534421632 6668874752 6844371456 6857739369 7078956768 7107616512 7502484096 7699917888 7948302336 8127691104 8389874688 8440294608 8662407624 8712562176 8941840128 9125828608 9143652492 9438609024 9476822016 10003312128 10266557184 10618435152 10661424768 10836921472 11253726144 11549876832 11616749568 11922453504 12191536656 12584812032 12660441912 13068843264 13337749504 13688742912 13715478738 14157913536 14215233024 15004968192 15399835776 16255382208 16779749376 16880589216 17324815248 17425124352 17883680256 18287304984 18877218048 18953644032 20006624256 20533114368 20573218107 21236870304 21322849536 21673842944 22507452288 23099753664 23844907008 24383073312 25169624064 25320883824 26137686528 27377485824 27430957476 28315827072 28430466048 30009936384 30799671552 32510764416 33761178432 34649630496 34850248704 35767360512 36574609968 37754436096 40013248512 41066228736 41146436214 42473740608 42645699072 43347685888 45014904576 46199507328 48766146624 50339248128 50641767648 52275373056 54861914952 56631654144 56860932096 60019872768 61599343104 65021528832 67522356864 69299260992 71534721024 73149219936 75508872192 82132457472 82292872428 84947481216 85291398144 86695371776 90029809152 92399014656 97532293248 101283535296 104550746112 109723829904 113263308288 120039745536 123198686208 130043057664 135044713728 138598521984 146298439872 151017744384 164585744856 169894962432 170582796288 173390743552 180059618304 184798029312 195064586496 202567070592 219447659808 226526616576 246397372416 260086115328 270089427456 277197043968 292596879744 329171489712 339789924864 360119236608 369596058624 390129172992 405134141184 438895319616 453053233152 520172230656 540178854912 554394087936 585193759488 658342979424 679579849728 739192117248 780258345984 810268282368 877790639232 1080357709824 1108788175872 1170387518976 1316685958848 1359159699456 1560516691968 1620536564736 1755581278464 2217576351744 2340775037952 2633371917696 3241073129472 3511162556928 4681550075904 5266743835392 7022325113856 10533487670784 14044650227712 21066975341568 42133950683136
- Sum of all divisors σ(n): 147686189414400
- Sum of proper divisors (its aliquot sum) s(n): 105552238731264
- 42133950683136 is an abundant number, because the sum of its proper divisors (105552238731264) is greater than itself. Its abundance is 63418288048128
Bases of 42133950683136
- Binary: 10011001010010000100110010100111011000000000002
- Hexadecimal: 0x26521329D800
- Base-36: EXO2IDC00
Squares and roots of 42133950683136
- 42133950683136 squared (421339506831362) is 1775269800168936601074794496
- 42133950683136 cubed (421339506831363) is 74799130209578676511062011466570012819456
-
The
square root of 42133950683136 is 6491066.9911144809 -
The
cube root of 42133950683136 is 34797.1808950585
Scales and comparisons
How big is 42133950683136?- 42,133,950,683,136 seconds is equal to 1,339,729 years, 15 weeks, 5 days, 5 hours, 45 minutes, 36 seconds.
-
To count from 1 to 42,133,950,683,136 would take you about three million, three hundred forty-nine thousand, three hundred twenty-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 42133950683136 cubic inches would be around 2899.8 feet tall.
Recreational maths with 42133950683136
- 42133950683136 backwards is 63138605933124
- 42133950683136 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42133950683136's digits is 54
- More coming soon!
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The information we have on file for 42133950683136 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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