138184128000

Names of 138184128000

• Cardinal: 138184128000 can be written as One hundred thirty-eight billion, one hundred eighty-four million, one hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 1.38184128 × 10¹¹

Factors of 138184128000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 2026

Divisors of 138184128000

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 125 127 128 144 150 160 180 192 200 225 240 250 254 256 288 300 320 360 375 381 384 400 450 480 500 508 512 576 600 635 640 720 750 762 768 800 900 960 1000 1016 1125 1143 1152 1200 1270 1280 1440 1500 1524 1536 1600 1800 1889 1905 1920 2000 2032 2250 2286 2304 2400 2540 2560 2880 3000 3048 3175 3200 3600 3778 3810 3840 4000 4064 4500 4572 4608 4800 5080 5667 5715 5760 6000 6096 6350 6400 7200 7556 7620 7680 8000 8128 9000 9144 9445 9525 9600 10160 11334 11430 11520 12000 12192 12700 12800 14400 15112 15240 15875 16000 16256 17001 18000 18288 18890 19050 19200 20320 22668 22860 23040 24000 24384 25400 28335 28575 28800 30224 30480 31750 32000 32512 34002 36000 36576 37780 38100 38400 40640 45336 45720 47225 47625 48000 48768 50800 56670 57150 57600 60448 60960 63500 64000 65024 68004 72000 73152 75560 76200 81280 85005 90672 91440 94450 95250 96000 97536 101600 113340 114300 115200 120896 121920 127000 136008 141675 142875 144000 146304 151120 152400 162560 170010 181344 182880 188900 190500 192000 195072 203200 226680 228600 236125 239903 241792 243840 254000 272016 283350 285750 288000 292608 302240 304800 325120 340020 362688 365760 377800 381000 406400 425025 453360 457200 472250 479806 483584 487680 508000 544032 566700 571500 576000 585216 604480 609600 680040 708375 719709 725376 731520 755600 762000 812800 850050 906720 914400 944500 959612 967168 975360 1016000 1088064 1133400 1143000 1199515 1208960 1219200 1360080 1416750 1439418 1450752 1463040 1511200 1524000 1625600 1700100 1813440 1828800 1889000 1919224 2032000 2125125 2159127 2176128 2266800 2286000 2399030 2417920 2438400 2720160 2833500 2878836 2901504 2926080 3022400 3048000 3400200 3598545 3626880 3657600 3778000 3838448 4064000 4250250 4318254 4352256 4533600 4572000 4798060 4835840 4876800 5440320 5667000 5757672 5997575 6044800 6096000 6800400 7197090 7253760 7315200 7556000 7676896 8128000 8500500 8636508 8704512 9067200 9144000 9596120 10795635 10880640 11334000 11515344 11995150 12089600 12192000 13600800 14394180 14507520 14630400 15112000 15353792 17001000 17273016 17992725 18134400 18288000 19192240 21591270 21761280 22668000 23030688 23990300 24179200 24384000 27201600 28788360 29987875 30224000 30707584 34002000 34546032 35985450 36268800 36576000 38384480 43182540 43522560 45336000 46061376 47980600 53978175 54403200 57576720 59975750 60448000 61415168 68004000 69092064 71970900 72537600 73152000 76768960 86365080 89963625 90672000 92122752 95961200 107956350 108806400 115153440 119951500 120896000 122830336 136008000 138184128 143941800 153537920 172730160 179927250 181344000 184245504 191922400 215912700 217612800 230306880 239903000 269890875 272016000 276368256 287883600 307075840 345460320 359854500 362688000 368491008 383844800 431825400 460613760 479806000 539781750 544032000 552736512 575767200 614151680 690920640 719709000 767689600 863650800 921227520 959612000 1079563500 1088064000 1105473024 1151534400 1381841280 1439418000 1535379200 1727301600 1842455040 1919224000 2159127000 2303068800 2763682560 2878836000 3070758400 3454603200 3838448000 4318254000 4606137600 5527365120 5757672000 6909206400 7676896000 8636508000 9212275200 11515344000 13818412800 15353792000 17273016000 23030688000 27636825600 34546032000 46061376000 69092064000 138184128000
• Sum of all divisors σ(n): 501897876480
• Sum of proper divisors (its aliquot sum) s(n): 363713748480
• 138184128000 is an abundant number, because the sum of its proper divisors (363713748480) is greater than itself. Its abundance is 225529620480

Bases of 138184128000

• Binary: 10000000101100011010100111011000000000₂
• Hexadecimal: 0x202C6A7600
• Base-36: 1RHB9FK0

Squares and roots of 138184128000

• 138184128000 squared (138184128000²) is 19094853231120384000000
• 138184128000 cubed (138184128000³) is 2638605643030352726065152000000000
• The square root of 138184128000 is 371731.2577656067
• The cube root of 138184128000 is 5169.9465616581

Scales and comparisons

• 138,184,128,000 seconds is equal to 4,393 years, 43 weeks, 8 hours.
• To count from 1 to 138,184,128,000 would take you about eight thousand, seven hundred eighty-seven 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 138184128000 cubic inches would be around 430.8 feet tall.

Recreational maths with 138184128000

• 138184128000 backwards is 000821481831
• 138184128000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138184128000's digits is 36
• More coming soon!