146461979648000

Names of 146461979648000

• Cardinal: 146461979648000 can be written as One hundred forty-six trillion, four hundred sixty-one billion, nine hundred seventy-nine million, six hundred forty-eight thousand.

Scientific notation

• Scientific notation: 1.46461979648 × 10¹⁴

Factors of 146461979648000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 2486

Divisors of 146461979648000

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 181 200 250 256 320 362 400 421 500 512 640 724 800 842 905 1000 1024 1280 1448 1600 1684 1810 1877 2000 2048 2105 2560 2896 3200 3368 3620 3754 4000 4096 4210 4525 5120 5792 6400 6736 7240 7508 8000 8192 8420 9050 9385 10240 10525 11584 12800 13472 14480 15016 16000 16840 18100 18770 20480 21050 22625 23168 25600 26944 28960 30032 32000 33680 36200 37540 40960 42100 45250 46336 46925 51200 52625 53888 57920 60064 64000 67360 72400 75080 76201 84200 90500 92672 93850 102400 105250 107776 115840 120128 128000 134720 144800 150160 152402 168400 181000 185344 187700 204800 210500 215552 231680 234625 240256 256000 269440 289600 300320 304804 336800 339737 362000 370688 375400 381005 421000 431104 463360 469250 480512 512000 538880 579200 600640 609608 673600 679474 724000 741376 750800 762010 790217 842000 862208 926720 938500 961024 1024000 1077760 1158400 1201280 1219216 1347200 1358948 1448000 1482752 1501600 1524020 1580434 1684000 1698685 1724416 1853440 1877000 1905025 1922048 2155520 2316800 2402560 2438432 2694400 2717896 2896000 3003200 3048040 3160868 3368000 3397370 3448832 3706880 3754000 3810050 3844096 3951085 4311040 4633600 4805120 4876864 5388800 5435792 5792000 6006400 6096080 6321736 6736000 6794740 7413760 7508000 7620100 7688192 7902170 8493425 8622080 9267200 9525125 9610240 9753728 10777600 10871584 11584000 12012800 12192160 12643472 13472000 13589480 15016000 15240200 15376384 15804340 16986850 17244160 18534400 19050250 19220480 19507456 19755425 21555200 21743168 23168000 24025600 24384320 25286944 26944000 27178960 30032000 30480400 31608680 33973700 37068800 38100500 38440960 39014912 39510850 42467125 43110400 43486336 46336000 48051200 48768640 50573888 53888000 54357920 60064000 60960800 63217360 67947400 76201000 76881920 78029824 79021700 84934250 86220800 86972672 92672000 96102400 97537280 98777125 101147776 107776000 108715840 120128000 121921600 126434720 135894800 143029277 152402000 156059648 158043400 169868500 173945344 185344000 192204800 195074560 197554250 202295552 215552000 217431680 240256000 243843200 252869440 271789600 286058554 304804000 312119296 316086800 339737000 347890688 384409600 390149120 395108500 404591104 431104000 434863360 480512000 487686400 505738880 543579200 572117108 609608000 624238592 632173600 679474000 695781376 715146385 780298240 790217000 809182208 869726720 961024000 975372800 1011477760 1087158400 1144234216 1219216000 1264347200 1358948000 1391562752 1430292770 1560596480 1580434000 1618364416 1739453440 1922048000 1950745600 2022955520 2174316800 2288468432 2438432000 2528694400 2717896000 2783125504 2860585540 3121192960 3160868000 3236728832 3478906880 3575731925 3901491200 4045911040 4348633600 4576936864 4876864000 5057388800 5435792000 5721171080 6321736000 6473457664 6957813760 7151463850 7802982400 8091822080 8697267200 9153873728 9753728000 10114777600 10871584000 11442342160 12643472000 13915627520 14302927700 15605964800 16183644160 17394534400 17878659625 18307747456 19507456000 20229555200 21743168000 22884684320 25286944000 28605855400 32367288320 34789068800 35757319250 36615494912 39014912000 40459110400 43486336000 45769368640 50573888000 57211710800 69578137600 71514638500 73230989824 78029824000 80918220800 86972672000 91538737280 101147776000 114423421600 143029277000 146461979648 161836441600 173945344000 183077474560 202295552000 228846843200 286058554000 292923959296 347890688000 366154949120 404591104000 457693686400 572117108000 585847918592 732309898240 809182208000 915387372800 1144234216000 1171695837184 1464619796480 1830774745600 2288468432000 2929239592960 3661549491200 4576936864000 5858479185920 7323098982400 9153873728000 14646197964800 18307747456000 29292395929600 36615494912000 73230989824000 146461979648000
• Sum of all divisors σ(n): 368635755118176
• Sum of proper divisors (its aliquot sum) s(n): 222173775470176
• 146461979648000 is an abundant number, because the sum of its proper divisors (222173775470176) is greater than itself. Its abundance is 75711795822176

Bases of 146461979648000

• Binary: 100001010011010011010110010001010010000000000000₂
• Hexadecimal: 0x8534D6452000
• Base-36: 1FWZPD59FK

Squares and roots of 146461979648000

• 146461979648000 squared (146461979648000²) is 21451111482411166203904000000
• 146461979648000 cubed (146461979648000³) is 3141772253363883334524133066145792000000000
• The square root of 146461979648000 is 12102147.7287298059
• The cube root of 146461979648000 is 52711.8550129501

Scales and comparisons

• 146,461,979,648,000 seconds is equal to 4,657,037 years, 47 weeks, 4 days, 11 hours, 33 minutes, 20 seconds.
• To count from 1 to 146,461,979,648,000 would take you about eleven million, six hundred forty-two thousand, five hundred ninety-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 146461979648000 cubic inches would be around 4392.7 feet tall.

Recreational maths with 146461979648000

• 146461979648000 backwards is 000846979164641
• The number of decimal digits it has is: 15
• The sum of 146461979648000's digits is 65
• More coming soon!