42135903302400

Names of 42135903302400

• Cardinal: 42135903302400 can be written as Forty-two trillion, one hundred thirty-five billion, nine hundred three million, three hundred two thousand, four hundred.

Scientific notation

• Scientific notation: 4.21359033024 × 10¹³

Factors of 42135903302400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 22013

Divisors of 42135903302400

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 64 68 72 75 80 85 90 96 100 102 108 120 128 135 136 144 150 153 160 170 180 192 200 204 216 225 240 255 256 270 272 288 300 306 320 340 360 384 400 408 425 432 450 459 480 510 540 544 576 600 612 640 673 675 680 720 765 768 800 816 850 864 900 918 960 1020 1080 1088 1152 1200 1224 1275 1280 1346 1350 1360 1440 1530 1600 1632 1700 1728 1800 1836 1920 2019 2040 2160 2176 2295 2304 2400 2448 2550 2692 2700 2720 2880 3060 3200 3264 3365 3400 3456 3600 3672 3825 3840 4038 4080 4320 4352 4590 4800 4896 5100 5384 5400 5440 5760 6057 6120 6400 6528 6730 6800 6912 7200 7344 7650 8076 8160 8640 9180 9600 9792 10095 10200 10768 10800 10880 11441 11475 11520 12114 12240 13056 13460 13600 14400 14688 15300 16152 16320 16825 17280 18171 18360 19200 19584 20190 20400 21313 21536 21600 21760 22882 22950 24228 24480 26920 27200 28800 29376 30285 30600 32304 32640 33650 34323 34560 36342 36720 39168 40380 40800 42626 43072 43200 45764 45900 48456 48960 50475 53840 54400 57205 57600 58752 60570 61200 63939 64608 65280 67300 68646 72684 73440 80760 81600 85252 86144 86400 90855 91528 91800 96912 97920 100950 102969 106565 107680 108800 114410 117504 121140 122400 127878 129216 134600 137292 145368 146880 151425 161520 163200 170504 171615 172288 172800 181710 183056 183600 191817 193824 195840 201900 205938 213130 215360 228820 242280 244800 255756 258432 269200 274584 286025 290736 293760 302850 308907 319695 323040 326400 341008 343230 362321 363420 366112 367200 383634 387648 403800 411876 426260 430720 454275 457640 484560 489600 511512 514845 516864 532825 538400 549168 572050 575451 581472 587520 605700 617814 639390 646080 682016 686460 724642 726840 732224 734400 767268 775296 807600 823752 852520 858075 861440 908550 915280 959085 969120 979200 1023024 1029690 1065650 1076800 1086963 1098336 1144100 1150902 1162944 1211400 1235628 1278780 1292160 1364032 1372920 1449284 1453680 1464448 1468800 1534536 1544535 1550592 1598475 1615200 1647504 1705040 1716150 1811605 1817100 1830560 1918170 1938240 2046048 2059380 2131300 2153600 2173926 2196672 2288200 2301804 2325888 2422800 2471256 2557560 2574225 2584320 2728064 2745840 2877255 2898568 2907360 2928896 2937600 3069072 3089070 3196950 3230400 3260889 3295008 3410080 3432300 3623210 3634200 3661120 3836340 3876480 4092096 4118760 4262600 4307200 4347852 4393344 4576400 4603608 4651776 4795425 4845600 4942512 5115120 5148450 5434815 5456128 5491680 5754510 5797136 5814720 6138144 6178140 6393900 6460800 6521778 6590016 6820160 6864600 7246420 7268400 7322240 7672680 7722675 7752960 8184192 8237520 8525200 8695704 8786688 9058025 9152800 9207216 9590850 9691200 9782667 9885024 10230240 10296900 10869630 10983360 11509020 11594272 11629440 12276288 12356280 12787800 12921600 13043556 13180032 13640320 13729200 14343649 14386275 14492840 14536800 14644480 15345360 15445350 16304445 16368384 16475040 17050400 17391408 18116050 18305600 18414432 19181700 19382400 19565334 19770048 20460480 20593800 21739260 21966720 23018040 23188544 23258880 24552576 24712560 25575600 26087112 26360064 27174075 27280640 27458400 28687298 28772550 28985680 29073600 30690720 30890700 32608890 32950080 34100800 34782816 36232100 36611200 36828864 38363400 38764800 39130668 39540096 40920960 41187600 43030947 43478520 43933440 46036080 46377088 48913335 49105152 49425120 51151200 52174224 54348150 54916800 57374596 57545100 57971360 58147200 61381440 61781400 65217780 65900160 68201600 69565632 71718245 72464200 73222400 73657728 76726800 78261336 79080192 81522225 81841920 82375200 86061894 86957040 92072160 92754176 97826670 98850240 102302400 104348448 108696300 109833600 114749192 115090200 115942720 116294400 122762880 123562800 129092841 130435560 131800320 136403200 139131264 143436490 144928400 147315456 153453600 156522672 163044450 164750400 172123788 173914080 184144320 195653340 197700480 204604800 208696896 215154735 217392600 219667200 229498384 230180400 231885440 243842033 244566675 245525760 247125600 258185682 260871120 278262528 286872980 289856800 306907200 313045344 326088900 329500800 344247576 347828160 358591225 368288640 387278523 391306680 395400960 409209600 417393792 430309470 434785200 458996768 460360800 463770880 487684066 489133350 494251200 516371364 521742240 573745960 579713600 613814400 626090688 645464205 652177800 659001600 688495152 695656320 717182450 731526099 736577280 774557046 782613360 834787584 860618940 869570400 917993536 920721600 975368132 978266700 988502400 1032742728 1043484480 1075773675 1147491920 1159427200 1219210165 1227628800 1252181376 1290928410 1304355600 1376990304 1391312640 1434364900 1463052198 1549114092 1565226720 1721237880 1739140800 1835987072 1841443200 1936392615 1950736264 1956533400 1977004800 2065485456 2086968960 2151547350 2194578297 2294983840 2318854400 2438420330 2504362752 2581856820 2608711200 2753980608 2868729800 2926104396 3098228184 3130453440 3227321025 3442475760 3478281600 3657630495 3671974144 3682886400 3872785230 3901472528 3913066800 4130970912 4173937920 4303094700 4389156594 4589967680 4876840660 5163713640 5217422400 5507961216 5737459600 5852208792 6096050825 6196456368 6260906880 6454642050 6583734891 6884951520 6956563200 7315260990 7745570460 7802945056 7826133600 8261941824 8606189400 8778313188 9179935360 9681963075 9753681320 10327427280 10434844800 10972891485 11015922432 11474919200 11704417584 12192101650 12392912736 12521813760 12909284100 13167469782 13769903040 14630521980 15491140920 15605890112 15652267200 16523883648 17212378800 17556626376 18288152475 18359870720 19363926150 19507362640 20654854560 20869689600 21945782970 22949838400 23408835168 24384203300 24785825472 25818568200 26334939564 27539806080 29261043960 30982281840 31211780224 31304534400 32918674455 33047767296 34424757600 35113252752 36576304950 38727852300 39014725280 41309709120 43891565940 45899676800 46817670336 48768406600 49571650944 51637136400 52669879128 54864457425 55079612160 58522087920 61964563680 62423560448 62609068800 65837348910 68849515200 70226505504 73152609900 77455704600 78029450560 82619418240 87783131880 91799353600 93635340672 97536813200 99143301888 103274272800 105339758256 109728914850 117044175840 123929127360 131674697820 137699030400 140453011008 146305219800 154911409200 156058901120 164593372275 165238836480 175566263760 187270681344 195073626400 206548545600 210679516512 219457829700 234088351680 247858254720 263349395640 275398060800 280906022016 292610439600 309822818400 312117802240 329186744550 351132527520 390147252800 413097091200 421359033024 438915659400 468176703360 495716509440 526698791280 561812044032 585220879200 619645636800 658373489100 702265055040 780294505600 826194182400 842718066048 877831318800 936353406720 1053397582560 1170441758400 1239291273600 1316746978200 1404530110080 1560589011200 1685436132096 1755662637600 2106795165120 2340883516800 2478582547200 2633493956400 2809060220160 3511325275200 4213590330240 4681767033600 5266987912800 7022650550400 8427180660480 10533975825600 14045301100800 21067951651200 42135903302400
• Sum of all divisors σ(n): 163847548710720
• Sum of proper divisors (its aliquot sum) s(n): 121711645408320
• 42135903302400 is an abundant number, because the sum of its proper divisors (121711645408320) is greater than itself. Its abundance is 79575742105920

Bases of 42135903302400

• Binary: 1001100101001010000111100011000111001100000000₂
• Hexadecimal: 0x2652878C7300
• Base-36: EXOYSWQO0

Squares and roots of 42135903302400

• 42135903302400 squared (42135903302400²) is 1775434347109203225845760000
• 42135903302400 cubed (42135903302400³) is 74809529969553064097347091817037824000000
• The square root of 42135903302400 is 6491217.3975611077
• The cube root of 42135903302400 is 34797.7184235445

Scales and comparisons

• 42,135,903,302,400 seconds is equal to 1,339,791 years, 20 weeks, 2 days.
• To count from 1 to 42,135,903,302,400 would take you about three million, three hundred forty-nine thousand, four hundred seventy-eight 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 42135903302400 cubic inches would be around 2899.8 feet tall.

Recreational maths with 42135903302400

• 42135903302400 backwards is 00420330953124
• 42135903302400 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 42135903302400's digits is 36
• More coming soon!