42205675828198400

Names of 42205675828198400

• Cardinal: 42205675828198400 can be written as Forty-two quadrillion, two hundred five trillion, six hundred seventy-five billion, eight hundred twenty-eight million, one hundred ninety-eight thousand, four hundred.

Scientific notation

• Scientific notation: 4.22056758281984 × 10¹⁶

Factors of 42205675828198400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 342273

Divisors of 42205675828198400

• Number of divisors d(n): 528
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 137 140 160 175 200 224 256 274 280 320 350 400 448 512 548 560 640 685 700 800 896 959 1024 1096 1120 1280 1370 1400 1600 1792 1918 2192 2240 2560 2740 2800 3200 3425 3584 3836 4384 4480 4795 5101 5120 5480 5600 6400 6850 7168 7672 8768 8960 9590 10202 10960 11200 12800 13700 15344 17536 17920 19180 20404 21920 22400 23975 25505 25600 27400 30688 35072 35707 35840 38360 40808 43840 44800 47950 51010 54800 61376 70144 71414 76720 81616 87680 89600 95900 102020 109600 122752 127525 140288 142828 153440 163232 175360 178535 179200 191800 204040 219200 245504 255050 285656 306880 326464 337021 350720 357070 383600 408080 438400 491008 510100 571312 613760 652928 674042 698837 701440 714140 767200 816160 876800 892675 982016 1020200 1142624 1227520 1305856 1348084 1397674 1428280 1534400 1632320 1685105 1753600 1785350 2040400 2285248 2359147 2455040 2611712 2696168 2795348 2856560 3068800 3264640 3370210 3494185 3507200 3570700 4080800 4570496 4718294 4891859 4910080 5223424 5392336 5590696 5713120 6137600 6529280 6740420 6988370 7141400 8161600 8425525 9140992 9436588 9783718 10784672 11181392 11426240 11795735 12275200 13058560 13480840 13976740 14282800 16323200 16851050 17470925 18281984 18873176 19567436 21569344 22362784 22852480 23591470 24459295 24550400 26117120 26961680 27953480 28565600 32646400 33702100 34941850 36563968 37746352 39134872 43138688 44725568 45704960 46171877 47182940 48918590 53923360 55906960 57131200 58978675 65292800 67404200 69883700 75492704 78269744 86277376 89451136 91409920 92343754 94365880 97837180 107846720 111813920 114262400 117957350 122296475 130585600 134808400 139767400 150985408 156539488 172554752 178902272 182819840 184687508 188731760 195674360 215693440 223627840 228524800 230859385 235914700 244592950 269616800 279534800 301970816 313078976 323203139 345109504 357804544 369375016 377463520 391348720 431386880 447255680 457049600 461718770 471829400 489185900 539233600 559069600 603941632 626157952 646406278 715609088 738750032 754927040 782697440 862773760 894511360 914099200 923437540 943658800 978371800 1078467200 1118139200 1154296925 1207883264 1252315904 1292812556 1477500064 1509854080 1565394880 1616015695 1719144121 1725547520 1789022720 1846875080 1887317600 1956743600 2156934400 2236278400 2308593850 2415766528 2504631808 2585625112 2955000128 3019708160 3130789760 3232031390 3438288242 3578045440 3693750160 3774635200 3913487200 4313868800 4472556800 4617187700 5009263616 5171250224 5910000256 6039416320 6261579520 6464062780 6876576484 7387500320 7549270400 7826974400 8080078475 8595720605 8627737600 8945113600 9234375400 10342500448 11820000512 12034008847 12078832640 12523159040 12928125560 13753152968 14775000640 15098540800 15653948800 16160156950 17191441210 17890227200 18468750800 20685000896 23640001024 24068017694 25046318080 25856251120 27506305936 29550001280 30197081600 31307897600 32320313900 34382882420 36937501600 41370001792 42978603025 47280002048 48136035388 51712502240 55012611872 59100002560 60170044235 60394163200 62615795200 64640627800 68765764840 73875003200 82740003584 85957206050 96272070776 103425004480 110025223744 118200005120 120340088470 125231590400 129281255600 137531529680 147750006400 165480007168 171914412100 192544141552 206850008960 220050447488 235522744577 236400010240 240680176940 258562511200 275063059360 295500012800 300850221175 330960014336 343828824200 385088283104 413700017920 440100894976 471045489154 481360353880 517125022400 550126118720 591000025600 601700442350 687657648400 770176566208 827400035840 880201789952 942090978308 962720707760 1034250044800 1100252237440 1177613722885 1182000051200 1203400884700 1375315296800 1540353132416 1648659212039 1654800071680 1760403579904 1884181956616 1925441415520 2068500089600 2200504474880 2355227445770 2406801769400 2750630593600 3080706264832 3297318424078 3768363913232 3850882831040 4137000179200 4401008949760 4710454891540 4813603538800 5501261187200 5888068614425 6161412529664 6594636848156 7536727826464 7701765662080 8243296060195 8274000358400 8802017899520 9420909783080 9627207077600 11002522374400 11776137228850 12322825059328 13189273696312 15073455652928 15403531324160 16486592120390 18841819566160 19254414155200 22005044748800 23552274457700 26378547392624 30146911305856 30807062648320 32973184240780 37683639132320 38508828310400 41216480300975 44010089497600 47104548915400 52757094785248 60293822611712 61614125296640 65946368481560 75367278264640 77017656620800 82432960601950 94209097830800 105514189570496 120587645223424 131892736963120 150734556529280 154035313241600 164865921203900 188418195661600 211028379140992 241175290446848 263785473926240 301469113058560 308070626483200 329731842407800 376836391323200 422056758281984 527570947852480 602938226117120 659463684815600 753672782646400 844113516563968 1055141895704960 1205876452234240 1318927369631200 1507345565292800 1688227033127936 2110283791409920 2637854739262400 3014691130585600 4220567582819840 5275709478524800 6029382261171200 8441135165639680 10551418957049600 21102837914099200 42205675828198400
• Sum of all divisors σ(n): 120461236198400832
• Sum of proper divisors (its aliquot sum) s(n): 78255560370202432
• 42205675828198400 is an abundant number, because the sum of its proper divisors (78255560370202432) is greater than itself. Its abundance is 36049884542004032

Bases of 42205675828198400

• Binary: 10010101111100011101011010101011001111101011110000000000₂
• Hexadecimal: 0x95F1D6AB3EBC00
• Base-36: BJKNVT1UOE8

Squares and roots of 42205675828198400

• 42205675828198400 squared (42205675828198400²) is 1781319072114970697752589762560000
• 42205675828198400 cubed (42205675828198400³) is 75181775304271621318972381852512965208571904000000
• The square root of 42205675828198400 is 205440200.1269430227
• The cube root of 42205675828198400 is 348169.1492518407

Scales and comparisons

• 42,205,675,828,198,400 seconds is equal to 1,342,009,940 years, 31 weeks, 4 days, 22 hours, 13 minutes, 20 seconds.
• To count from 1 to 42,205,675,828,198,400 would take you about four billion, twenty-six million, twenty-nine thousand, eight hundred twenty-one 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 42205675828198400 cubic inches would be around 29014.1 feet tall.

Recreational maths with 42205675828198400

• 42205675828198400 backwards is 00489182857650224
• The number of decimal digits it has is: 17
• The sum of 42205675828198400's digits is 71
• More coming soon!