12435974144000

Names of 12435974144000

• Cardinal: 12435974144000 can be written as Twelve trillion, four hundred thirty-five billion, nine hundred seventy-four million, one hundred forty-four thousand.

Scientific notation

• Scientific notation: 1.2435974144 × 10¹³

Factors of 12435974144000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 24042

Divisors of 12435974144000

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 4 5 8 10 11 16 20 22 23 25 32 40 44 46 50 55 64 80 88 92 100 110 115 125 128 160 176 184 200 220 230 250 253 256 275 320 352 368 400 440 460 500 506 512 550 575 640 704 736 800 880 920 1000 1012 1024 1100 1150 1265 1280 1375 1408 1472 1600 1760 1840 2000 2024 2048 2200 2300 2530 2560 2750 2816 2875 2944 3200 3520 3680 4000 4048 4096 4400 4600 5060 5120 5500 5632 5750 5888 6325 6400 7040 7360 8000 8096 8192 8800 9200 10120 10240 11000 11264 11500 11776 12650 12800 14080 14720 16000 16192 16384 17600 18400 20240 20480 22000 22528 23000 23552 24001 25300 25600 28160 29440 31625 32000 32384 35200 36800 40480 40960 44000 45056 46000 47104 48002 50600 51200 56320 58880 63250 64000 64768 70400 73600 80960 81920 88000 90112 92000 94208 96004 101200 102400 112640 117760 120005 126500 128000 129536 140800 147200 161920 176000 180224 184000 188416 192008 202400 204800 225280 235520 240010 253000 256000 259072 264011 281600 294400 323840 352000 368000 376832 384016 404800 409600 450560 471040 480020 506000 512000 518144 528022 552023 563200 588800 600025 647680 704000 736000 768032 809600 901120 942080 960040 1012000 1024000 1036288 1056044 1104046 1126400 1177600 1200050 1295360 1320055 1408000 1472000 1536064 1619200 1884160 1920080 2024000 2048000 2072576 2112088 2208092 2252800 2355200 2400100 2590720 2640110 2760115 2816000 2944000 3000125 3072128 3238400 3840160 4048000 4145152 4224176 4416184 4505600 4710400 4800200 5181440 5280220 5520230 5632000 5888000 6000250 6072253 6144256 6476800 6600275 7680320 8096000 8448352 8832368 9420800 9600400 10362880 10560440 11040460 11264000 11776000 12000500 12144506 12288512 12953600 13200550 13800575 15360640 16192000 16896704 17664736 19200800 20725760 21120880 22080920 22528000 23552000 24001000 24289012 24577024 25907200 26401100 27601150 30361265 30721280 32384000 33001375 33793408 35329472 38401600 42241760 44161840 47104000 48002000 48578024 49154048 51814400 52802200 55202300 60722530 61442560 64768000 66002750 67586816 69002875 70658944 76803200 84483520 88323680 96004000 97156048 98308096 103628800 105604400 110404600 121445060 122885120 129536000 132005500 135173632 138005750 141317888 151806325 153606400 168967040 176647360 192008000 194312096 196616192 211208800 220809200 242890120 245770240 259072000 264011000 270347264 276011500 282635776 303612650 307212800 337934080 353294720 384016000 388624192 393232384 422417600 441618400 485780240 491540480 518144000 528022000 540694528 552023000 565271552 607225300 614425600 675868160 706589440 759031625 768032000 777248384 844835200 883236800 971560480 983080960 1056044000 1081389056 1104046000 1130543104 1214450600 1228851200 1351736320 1413178880 1518063250 1536064000 1554496768 1689670400 1766473600 1943120960 1966161920 2112088000 2162778112 2208092000 2261086208 2428901200 2457702400 2703472640 2826357760 3036126500 3072128000 3108993536 3379340800 3532947200 3886241920 4224176000 4325556224 4416184000 4522172416 4857802400 4915404800 5406945280 5652715520 6072253000 6144256000 6217987072 6758681600 7065894400 7772483840 8448352000 8832368000 9044344832 9715604800 9830809600 10813890560 11305431040 12144506000 12288512000 12435974144 13517363200 14131788800 15544967680 16896704000 17664736000 19431209600 21627781120 22610862080 24289012000 24577024000 24871948288 27034726400 28263577600 31089935360 33793408000 35329472000 38862419200 45221724160 48578024000 49154048000 49743896576 54069452800 56527155200 62179870720 67586816000 70658944000 77724838400 97156048000 99487793152 108138905600 113054310400 124359741440 135173632000 141317888000 155449676800 194312096000 226108620800 248719482880 270347264000 282635776000 310899353600 388624192000 497438965760 540694528000 565271552000 621798707200 777248384000 1130543104000 1243597414400 1554496768000 2487194828800 3108993536000 6217987072000 12435974144000
• Sum of all divisors σ(n): 35334682935552
• Sum of proper divisors (its aliquot sum) s(n): 22898708791552
• 12435974144000 is an abundant number, because the sum of its proper divisors (22898708791552) is greater than itself. Its abundance is 10462734647552

Bases of 12435974144000

• Binary: 10110100111101111001110100100100000000000000₂
• Hexadecimal: 0xB4F79D24000
• Base-36: 4EP09X1Q8

Squares and roots of 12435974144000

• 12435974144000 squared (12435974144000²) is 154653452910236532736000000
• 12435974144000 cubed (12435974144000³) is 1923266341672023074029105577984000000000
• The square root of 12435974144000 is 3526467.6581531271
• The cube root of 12435974144000 is 23168.2520957885

Scales and comparisons

• 12,435,974,144,000 seconds is equal to 395,425 years, 26 weeks, 3 days, 22 hours, 13 minutes, 20 seconds.
• To count from 1 to 12,435,974,144,000 would take you about nine hundred eighty-eight thousand, five hundred sixty-three 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 12435974144000 cubic inches would be around 1930.7 feet tall.

Recreational maths with 12435974144000

• 12435974144000 backwards is 00044147953421
• 12435974144000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 12435974144000's digits is 44
• More coming soon!