42546967636992

Names of 42546967636992

• Cardinal: 42546967636992 can be written as Forty-two trillion, five hundred forty-six billion, nine hundred sixty-seven million, six hundred thirty-six thousand, nine hundred ninety-two.

Scientific notation

• Scientific notation: 4.2546967636992 × 10¹³

Factors of 42546967636992

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 9326

Divisors of 42546967636992

• Number of divisors d(n): 704
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 32 34 39 42 48 51 52 56 64 68 78 84 91 96 102 104 112 119 128 136 156 168 182 192 204 208 221 224 238 256 272 273 312 336 357 364 384 408 416 442 448 476 512 544 546 624 663 672 714 728 768 816 832 884 896 952 1024 1088 1092 1093 1248 1326 1344 1428 1456 1536 1547 1632 1664 1768 1792 1904 2176 2184 2186 2496 2652 2688 2856 2912 3072 3094 3264 3279 3328 3536 3584 3808 4352 4368 4372 4641 4992 5304 5376 5712 5824 6188 6528 6558 6656 7072 7168 7616 7651 8191 8704 8736 8744 9282 9984 10608 10752 11424 11648 12376 13056 13116 13312 14144 14209 15232 15302 16382 17408 17472 17488 18564 18581 19968 21216 21504 22848 22953 23296 24573 24752 26112 26232 28288 28418 30464 30604 32764 34944 34976 37128 37162 39936 42432 42627 45696 45906 46592 49146 49504 52224 52464 55743 56576 56836 57337 60928 61208 65528 69888 69952 74256 74324 84864 85254 91392 91812 93184 98292 99008 99463 104928 106483 111486 113152 113672 114674 121856 122416 130067 131056 139247 139776 139904 148512 148648 169728 170508 172011 182784 183624 196584 198016 198926 209856 212966 222972 226304 227344 229348 241553 244832 260134 262112 278494 279552 279808 297024 297296 298389 319449 339456 341016 344022 365568 367248 390201 393168 396032 397852 417741 419712 425932 445944 454688 458696 483106 489664 520268 524224 556988 559616 594048 594592 596778 638898 678912 682032 688044 724659 734496 745381 780402 786336 792064 795704 835482 839424 851864 891888 909376 917392 966212 974729 979328 1040536 1048448 1113976 1119232 1188096 1189184 1193556 1277796 1364064 1376088 1449318 1468992 1490762 1560804 1572672 1584128 1591408 1670964 1678848 1690871 1703728 1783776 1810211 1818752 1834784 1932424 1949458 1958656 2081072 2096896 2227952 2236143 2376192 2378368 2387112 2555592 2728128 2752176 2898636 2924187 2937984 2981524 3121608 3145344 3182816 3341928 3357696 3381742 3407456 3567552 3620422 3637504 3669568 3864848 3898916 3917312 4162144 4193792 4455904 4472286 4752384 4756736 4774224 5072613 5111184 5430633 5456256 5504352 5797272 5848374 5875968 5963048 6243216 6290688 6365632 6683856 6763484 6814912 7135104 7240844 7275008 7339136 7729696 7797832 7834624 8324288 8387584 8911808 8944572 8952763 9513472 9548448 10145226 10222368 10861266 10912512 11008704 11594544 11696748 11751936 11926096 12486432 12581376 12671477 12731264 13367712 13526968 13629824 14270208 14481688 14550016 14678272 15459392 15595664 16648576 17823616 17889144 17905526 19026944 19096896 20290452 20444736 21722532 21825024 22017408 23189088 23393496 23503872 23852192 24972864 25162752 25342954 25462528 26735424 26858289 27053936 27259648 28540416 28963376 29356544 30918784 31191328 33297152 35647232 35778288 35811052 38014431 38193792 40580904 40889472 43445064 43650048 44034816 46378176 46786992 47704384 49945728 50685908 50925056 53470848 53716578 54107872 54519296 57080832 57926752 58713088 61837568 62382656 62669341 66594304 71294464 71556576 71622104 76028862 76387584 81161808 81778944 86890128 88069632 92756352 93573984 95408768 99891456 101371816 101850112 106941696 107433156 108215744 109038592 115853504 116385919 123675136 124765312 125338682 133188608 142588928 143113152 143244208 152057724 152196971 152775168 162323616 163557888 173780256 176139264 185512704 187147968 188008023 190817536 199782912 202743632 213883392 214866312 216431488 231707008 232771838 247350272 249530624 250677364 286226304 286488416 304115448 304393942 305550336 324647232 327115776 347560512 349157757 371025408 374295936 376016046 381635072 399565824 405487264 427766784 429732624 432862976 456590913 463414016 465543676 499061248 501354728 572452608 572976832 608230896 608787884 649294464 695121024 698315514 742050816 748591872 752032092 763270144 810974528 814701433 859465248 865725952 913181826 926828032 931087352 998122496 1002709456 1065378797 1144905216 1145953664 1216461792 1217575768 1298588928 1390242048 1396631028 1497183744 1504064184 1621949056 1629402866 1718930496 1731451904 1826363652 1853656064 1862174704 1978560623 2005418912 2130757594 2289810432 2291907328 2432923584 2435151536 2444104299 2597177856 2780484096 2793262056 2994367488 3008128368 3196136391 3243898112 3258805732 3437860992 3652727304 3724349408 3957121246 4010837824 4261515188 4583814656 4865847168 4870303072 4888208598 5194355712 5560968192 5586524112 5935681869 6016256736 6392272782 6487796224 6517611464 6875721984 7305454608 7448698816 7914242492 8021675648 8523030376 9167629312 9731694336 9740606144 9776417196 11173048224 11871363738 12032513472 12784545564 12975592448 13035222928 13751443968 13849924361 14610909216 14897397632 15828484984 16043351296 17046060752 19463388672 19481212288 19552834392 22346096448 23742727476 24065026944 25569091128 26070445856 27502887936 27699848722 29221818432 29794795264 31656969968 32086702592 34092121504 38926777344 38962424576 39105668784 41549773083 44692192896 47485454952 48130053888 51138182256 52140891712 55399697444 58443636864 59589590528 63313939936 64173405184 68184243008 77924849152 78211337568 83099546166 89384385792 94970909904 96260107776 102276364512 104281783424 110799394888 116887273728 119179181056 126627879872 136368486016 155849698304 156422675136 166199092332 178768771584 189941819808 192520215552 204552729024 208563566848 221598789776 233774547456 253255759744 272736972032 312845350272 332398184664 357537543168 379883639616 409105458048 417127133696 443197579552 467549094912 506511519488 545473944064 625690700544 664796369328 759767279232 818210916096 834254267392 886395159104 1013023038976 1090947888128 1251381401088 1329592738656 1519534558464 1636421832192 1772790318208 2026046077952 2502762802176 2659185477312 3039069116928 3272843664384 3545580636416 5318370954624 6078138233856 7091161272832 10636741909248 14182322545664 21273483818496 42546967636992
• Sum of all divisors σ(n): 147936598032384
• Sum of proper divisors (its aliquot sum) s(n): 105389630395392
• 42546967636992 is an abundant number, because the sum of its proper divisors (105389630395392) is greater than itself. Its abundance is 62842662758400

Bases of 42546967636992

• Binary: 1001101011001000111100111001000110110000000000₂
• Hexadecimal: 0x26B23CE46C00
• Base-36: F2XT2016O

Squares and roots of 42546967636992

• 42546967636992 squared (42546967636992²) is 1810244455103244612286808064
• 42546967636992 cubed (42546967636992³) is 77020412246321966057020609304140330303488
• The square root of 42546967636992 is 6522803.6638390397
• The cube root of 42546967636992 is 34910.5108794189

Scales and comparisons

• 42,546,967,636,992 seconds is equal to 1,352,861 years, 50 weeks, 1 day, 1 hour, 23 minutes, 12 seconds.
• To count from 1 to 42,546,967,636,992 would take you about three million, three hundred eighty-two thousand, one hundred fifty-four 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 42546967636992 cubic inches would be around 2909.2 feet tall.

Recreational maths with 42546967636992

• 42546967636992 backwards is 29963676964524
• 42546967636992 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 42546967636992's digits is 78
• More coming soon!