146162066409914368

Names of 146162066409914368

• Cardinal: 146162066409914368 can be written as One hundred forty-six quadrillion, one hundred sixty-two trillion, sixty-six billion, four hundred nine million, nine hundred fourteen thousand, three hundred sixty-eight.

Scientific notation

• Scientific notation: 1.46162066409914368 × 10¹⁷

Factors of 146162066409914368

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 42
• Sum of prime factors: 77

Divisors of 146162066409914368

• Number of divisors d(n): 608
• Complete list of divisors:
  1 2 4 8 11 16 17 22 32 34 44 47 64 68 88 94 121 128 136 176 187 188 242 256 272 352 374 376 484 512 517 544 704 748 752 799 968 1024 1034 1088 1331 1408 1496 1504 1598 1936 2048 2057 2068 2176 2662 2816 2992 3008 3196 3872 4096 4114 4136 4352 5324 5632 5687 5984 6016 6392 7744 8192 8228 8272 8704 8789 10648 11264 11374 11968 12032 12784 15488 16384 16456 16544 17408 17578 21296 22528 22627 22748 23936 24064 25568 30976 32768 32912 33088 34816 35156 42592 45056 45254 45496 47872 48128 51136 61952 62557 65536 65824 66176 69632 70312 85184 90112 90508 90992 95744 96256 96679 102272 123904 125114 131072 131648 132352 139264 140624 170368 180224 181016 181984 191488 192512 193358 204544 247808 250228 262144 263296 264704 278528 281248 340736 360448 362032 363968 382976 385024 386716 409088 495616 500456 524288 526592 529408 557056 562496 681472 720896 724064 727936 765952 770048 773432 818176 991232 1000912 1048576 1053184 1058816 1063469 1114112 1124992 1362944 1441792 1448128 1455872 1531904 1540096 1546864 1636352 1982464 2001824 2097152 2106368 2117632 2126938 2228224 2249984 2725888 2883584 2896256 2911744 3063808 3080192 3093728 3272704 3964928 4003648 4194304 4212736 4235264 4253876 4456448 4499968 5451776 5767168 5792512 5823488 6127616 6160384 6187456 6545408 7929856 8007296 8388608 8425472 8470528 8507752 8912896 8999936 10903552 11534336 11585024 11646976 12255232 12320768 12374912 13090816 15859712 16014592 16777216 16850944 16941056 17015504 17825792 17999872 21807104 23068672 23170048 23293952 24510464 24641536 24749824 26181632 31719424 32029184 33554432 33701888 33882112 34031008 35651584 35999744 43614208 46137344 46340096 46587904 49020928 49283072 49499648 52363264 63438848 64058368 67108864 67403776 67764224 68062016 71303168 71999488 87228416 92274688 92680192 93175808 98041856 98566144 98999296 104726528 126877696 128116736 134217728 134807552 135528448 136124032 142606336 143998976 174456832 184549376 185360384 186351616 196083712 197132288 197998592 209453056 253755392 256233472 268435456 269615104 271056896 272248064 285212672 287997952 348913664 369098752 370720768 372703232 392167424 394264576 395997184 418906112 507510784 512466944 536870912 539230208 542113792 544496128 570425344 575995904 697827328 738197504 741441536 745406464 784334848 788529152 791994368 837812224 1015021568 1024933888 1073741824 1078460416 1084227584 1088992256 1140850688 1151991808 1395654656 1476395008 1482883072 1490812928 1568669696 1577058304 1583988736 1675624448 2030043136 2049867776 2147483648 2156920832 2168455168 2177984512 2281701376 2303983616 2791309312 2952790016 2965766144 2981625856 3137339392 3154116608 3167977472 3351248896 4060086272 4099735552 4294967296 4313841664 4336910336 4355969024 4563402752 4607967232 5582618624 5905580032 5931532288 5963251712 6274678784 6308233216 6335954944 6702497792 8120172544 8199471104 8589934592 8627683328 8673820672 8711938048 9126805504 9215934464 11165237248 11811160064 11863064576 11926503424 12549357568 12616466432 12671909888 13404995584 16240345088 16398942208 17179869184 17255366656 17347641344 17423876096 18253611008 18431868928 22330474496 23622320128 23726129152 23853006848 25098715136 25232932864 25343819776 26809991168 32480690176 32797884416 34359738368 34510733312 34695282688 34847752192 36507222016 36863737856 44660948992 47244640256 47452258304 47706013696 50197430272 50465865728 50687639552 53619982336 64961380352 65595768832 68719476736 69021466624 69390565376 69695504384 73014444032 73727475712 89321897984 94489280512 94904516608 95412027392 100394860544 100931731456 101375279104 107239964672 129922760704 131191537664 137438953472 138042933248 138781130752 139391008768 146028888064 147454951424 178643795968 188978561024 189809033216 190824054784 200789721088 201863462912 202750558208 214479929344 259845521408 262383075328 276085866496 277562261504 278782017536 292057776128 294909902848 357287591936 377957122048 379618066432 381648109568 401579442176 403726925824 405501116416 428959858688 519691042816 524766150656 552171732992 555124523008 557564035072 584115552256 589819805696 714575183872 755914244096 759236132864 763296219136 803158884352 807453851648 811002232832 857919717376 1039382085632 1049532301312 1104343465984 1110249046016 1115128070144 1168231104512 1179639611392 1429150367744 1511828488192 1518472265728 1526592438272 1606317768704 1614907703296 1622004465664 1715839434752 2078764171264 2099064602624 2208686931968 2220498092032 2230256140288 2336462209024 2359279222784 2858300735488 3036944531456 3053184876544 3212635537408 3229815406592 3244008931328 3431678869504 4157528342528 4198129205248 4417373863936 4440996184064 4460512280576 4718558445568 5716601470976 6073889062912 6106369753088 6425271074816 6459630813184 6488017862656 6863357739008 8315056685056 8396258410496 8834747727872 8881992368128 8921024561152 9437116891136 11433202941952 12147778125824 12212739506176 12850542149632 12976035725312 13726715478016 16630113370112 16792516820992 17669495455744 17763984736256 17842049122304 18874233782272 22866405883904 24295556251648 24425479012352 25701084299264 25952071450624 27453430956032 33585033641984 35338990911488 35527969472512 35684098244608 37748467564544 45732811767808 48591112503296 48850958024704 51904142901248 54906861912064 67170067283968 70677981822976 71055938945024 71368196489216 75496935129088 91465623535616 97182225006592 97701916049408 103808285802496 109813723824128 134340134567936 141355963645952 142736392978432 150993870258176 182931247071232 194364450013184 195403832098816 207616571604992 268680269135872 282711927291904 285472785956864 301987740516352 388728900026368 390807664197632 415233143209984 537360538271744 570945571913728 603975481032704 777457800052736 781615328395264 830466286419968 1074721076543488 1141891143827456 1207950962065408 1554915600105472 1660932572839936 2149442153086976 2283782287654912 3109831200210944 3321865145679872 4298884306173952 4567564575309824 6643730291359744 8597768612347904 9135129150619648 13287460582719488 18270258301239296 36540516602478592 73081033204957184 146162066409914368
• Sum of all divisors σ(n): 347691964980572928
• Sum of proper divisors (its aliquot sum) s(n): 201529898570658560
• 146162066409914368 is an abundant number, because the sum of its proper divisors (201529898570658560) is greater than itself. Its abundance is 55367832160744192

Bases of 146162066409914368

• Binary: 1000000111010001011010000000000000000000000000000000000000₂
• Hexadecimal: 0x20745A000000000
• Base-36: 13Z64MCJQO74

Squares and roots of 146162066409914368

• 146162066409914368 squared (146162066409914368²) is 21363349657216217987958365092839424
• 146162066409914368 cubed (146162066409914368³) is 3122511331336258202927160399835876855434517814444032
• The square root of 146162066409914368 is 382311478.2607427391
• The cube root of 146162066409914368 is 526758.5070601341

Scales and comparisons

• 146,162,066,409,914,368 seconds is equal to 4,647,501,602 years, 45 weeks, 5 days, 1 hour, 59 minutes, 28 seconds.
• To count from 1 to 146,162,066,409,914,368 would take you about thirteen billion, nine hundred forty-two million, five hundred four thousand, eight hundred 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 146162066409914368 cubic inches would be around 43896.5 feet tall.

Recreational maths with 146162066409914368

• 146162066409914368 backwards is 863419904660261641
• The number of decimal digits it has is: 18
• The sum of 146162066409914368's digits is 76
• More coming soon!