42420784896

Names of 42420784896

• Cardinal: 42420784896 can be written as Forty-two billion, four hundred twenty million, seven hundred eighty-four thousand, eight hundred ninety-six.

Scientific notation

• Scientific notation: 4.2420784896 × 10¹⁰

Factors of 42420784896

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 83

Divisors of 42420784896

• Number of divisors d(n): 972
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 17 18 21 23 24 28 31 32 34 36 42 46 48 49 51 56 62 63 64 68 69 72 84 92 93 96 98 102 112 119 124 126 128 136 138 144 147 153 161 168 184 186 192 196 204 207 217 224 238 248 252 256 272 276 279 288 294 306 322 336 357 368 372 384 391 392 408 414 434 441 448 476 483 496 504 527 544 552 558 576 588 612 644 651 672 713 714 736 744 768 782 784 816 828 833 868 882 896 952 961 966 992 1008 1054 1071 1088 1104 1116 1127 1152 1173 1176 1224 1288 1302 1344 1426 1428 1449 1472 1488 1519 1564 1568 1581 1632 1656 1666 1736 1764 1792 1904 1922 1932 1953 1984 2016 2108 2139 2142 2176 2208 2232 2254 2304 2346 2352 2448 2499 2576 2604 2688 2737 2852 2856 2883 2898 2944 2976 3038 3128 3136 3162 3264 3312 3332 3381 3472 3519 3528 3689 3808 3844 3864 3906 3968 4032 4216 4278 4284 4352 4416 4464 4508 4557 4692 4704 4743 4896 4991 4998 5152 5208 5376 5474 5704 5712 5766 5796 5888 5952 6076 6256 6272 6324 6417 6528 6624 6664 6727 6762 6944 7038 7056 7378 7497 7616 7688 7728 7812 7936 8064 8211 8432 8556 8568 8649 8832 8928 9016 9114 9384 9408 9486 9792 9982 9996 10143 10304 10416 10948 11067 11408 11424 11532 11592 11904 12121 12152 12512 12544 12648 12834 13056 13248 13328 13454 13524 13671 13888 14076 14112 14756 14973 14994 15232 15376 15456 15624 16128 16337 16422 16864 17112 17136 17298 17664 17856 18032 18228 18768 18816 18972 19159 19584 19964 19992 20181 20286 20608 20832 21896 22103 22134 22816 22848 23064 23184 23808 24242 24304 24633 25024 25296 25668 25823 26496 26656 26908 27048 27342 27776 28152 28224 29512 29946 29988 30464 30752 30912 31248 32674 32844 33201 33728 34224 34272 34596 34937 35712 36064 36363 36456 37536 37632 37944 38318 39168 39928 39984 40362 40572 41216 41664 43792 44206 44268 44919 45632 45696 46128 46368 47089 48484 48608 49011 49266 50048 50592 51336 51646 52992 53312 53816 54096 54684 55552 56304 56448 57477 59024 59892 59976 60543 61504 61824 62496 65348 65688 66309 66402 67456 68448 68544 69192 69874 71424 72128 72726 72912 75072 75888 76636 77469 79856 79968 80724 81144 83328 84847 87584 88412 88536 89838 91264 91392 92256 92736 94178 96968 97216 98022 98532 100096 101184 102672 103292 104811 106624 107632 108192 109089 109368 112608 112896 114359 114954 118048 119784 119952 121086 123008 123648 124992 130696 131376 132618 132804 134912 136896 137088 138384 139748 141267 144256 145452 145824 147033 150144 151776 153272 154721 154938 159712 159936 161448 162288 166656 169694 172431 175168 176824 177072 179676 182528 184512 185472 188356 193936 194432 196044 197064 198927 202368 205344 206584 209622 213248 215264 216384 218178 218736 225216 228718 229908 232407 236096 239568 239904 242172 246016 249984 254541 261392 262752 265236 265608 273792 274176 276768 279496 282534 288512 290904 291648 294066 300288 303552 306544 309442 309876 314433 319424 319872 322896 324576 339388 343077 344862 350336 353648 354144 359352 369024 370944 375751 376712 387872 388864 392088 394128 397854 404736 410688 413168 419244 423801 430528 432768 436356 437472 450432 457436 459816 464163 464814 472192 479136 479808 484344 499968 509082 522784 525504 530472 531216 547584 553536 558992 565068 581808 583296 588132 593929 607104 613088 618884 619752 628866 638848 639744 645792 649152 678776 686154 689724 700672 707296 708288 718704 738048 751502 753424 763623 775744 784176 788256 795708 800513 821376 826336 838488 847602 861056 865536 872712 874944 900864 914872 919632 928326 929628 944384 958272 959616 968688 1018164 1029231 1045568 1051008 1060944 1062432 1083047 1107072 1117984 1127253 1130136 1163616 1166592 1176264 1187858 1214208 1226176 1237768 1239504 1257732 1277696 1291584 1298304 1357552 1372308 1379448 1392489 1414592 1416576 1437408 1503004 1506848 1527246 1551488 1568352 1576512 1591416 1601026 1642752 1652672 1676976 1695204 1722112 1745424 1749888 1781787 1829744 1839264 1856652 1859256 1916544 1919232 1937376 2036328 2058462 2091136 2102016 2121888 2124864 2166094 2214144 2235968 2254506 2260272 2327232 2352528 2375716 2401539 2452352 2475536 2479008 2515464 2583168 2596608 2630257 2715104 2744616 2758896 2784978 2829184 2833152 2874816 3006008 3013696 3054492 3102976 3136704 3153024 3182832 3202052 3249141 3305344 3353952 3381759 3390408 3490848 3499776 3563574 3659488 3678528 3713304 3718512 3833088 3874752 4072656 4116924 4182272 4243776 4249728 4332188 4471936 4509012 4520544 4654464 4705056 4751432 4803078 4904704 4951072 4958016 5030928 5166336 5260514 5345361 5430208 5489232 5517792 5569956 5658368 5749632 6012016 6027392 6108984 6273408 6306048 6365664 6404104 6498282 6610688 6707904 6763518 6780816 6981696 7127148 7204617 7318976 7357056 7426608 7437024 7749504 7890771 8145312 8233848 8487552 8499456 8664376 8943872 9018024 9041088 9308928 9410112 9502864 9606156 9747423 9902144 9916032 10061856 10521028 10690722 10860416 10978464 11035584 11139912 11499264 12024032 12054784 12217968 12546816 12731328 12808208 12996564 13415808 13527036 13561632 13963392 14254296 14409234 14637952 14714112 14853216 14874048 15499008 15781542 16290624 16467696 16975104 17328752 18036048 18082176 18411799 18820224 19005728 19212312 19494846 19804288 19832064 20123712 21042056 21381444 21720832 21956928 22071168 22279824 23672313 24048064 24435936 25462656 25616416 25993128 26831616 27054072 27123264 27926784 28508592 28818468 29275904 29706432 29748096 31563084 32581248 32935392 34657504 36072096 36164352 36823598 37640448 38011456 38424624 38989692 39608576 40247424 42084112 42762888 43913856 44142336 44559648 47344626 48096128 48871872 50925312 51232832 51986256 54108144 54246528 55235397 57017184 57636936 59412864 59496192 63126168 65162496 65870784 69315008 72144192 73647196 76022912 76849248 77979384 80494848 84168224 85525776 87827712 89119296 94689252 96192256 97743744 102465664 103972512 108216288 108493056 110470794 114034368 115273872 118825728 126252336 131741568 138630016 144288384 147294392 152045824 153698496 155958768 165706191 168336448 171051552 178238592 189378504 195487488 204931328 207945024 216432576 220941588 228068736 230547744 252504672 263483136 277260032 288576768 294588784 307396992 311917536 331412382 336672896 342103104 356477184 378757008 415890048 432865152 441883176 456137472 461095488 505009344 589177568 614793984 623835072 662824764 673345792 684206208 757514016 831780096 865730304 883766352 922190976 1010018688 1178355136 1247670144 1325649528 1368412416 1515028032 1767532704 1844381952 2020037376 2356710272 2495340288 2651299056 3030056064 3535065408 4713420544 5302598112 6060112128 7070130816 10605196224 14140261632 21210392448 42420784896
• Sum of all divisors σ(n): 162432191376
• Sum of proper divisors (its aliquot sum) s(n): 120011406480
• 42420784896 is an abundant number, because the sum of its proper divisors (120011406480) is greater than itself. Its abundance is 77590621584

Bases of 42420784896

• Binary: 100111100000011110011100111100000000₂
• Hexadecimal: 0x9E079CF00
• Base-36: JHK8N40

Squares and roots of 42420784896

• 42420784896 squared (42420784896²) is 1799522991192701730816
• 42420784896 cubed (42420784896³) is 76337177724792102608032430555136
• The square root of 42420784896 is 205963.0668250985
• The cube root of 42420784896 is 3487.5965010335

Scales and comparisons

• 42,420,784,896 seconds is equal to 1,348 years, 44 weeks, 1 day, 7 hours, 21 minutes, 36 seconds.
• To count from 1 to 42,420,784,896 would take you about two thousand, six hundred ninety-seven 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 42420784896 cubic inches would be around 290.6 feet tall.

Recreational maths with 42420784896

• 42420784896 backwards is 69848702424
• The number of decimal digits it has is: 11
• The sum of 42420784896's digits is 54
• More coming soon!