138355224000
138,355,224,000 is an even composite number composed of four prime numbers multiplied together.
138355224000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 138355224000:
26 × 3 × 53 × 78
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7)See below for interesting mathematical facts about the number 138355224000 from the Numbermatics database.
Names of 138355224000
- Cardinal: 138355224000 can be written as One hundred thirty-eight billion, three hundred fifty-five million, two hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.38355224 × 1011
Factors of 138355224000
Divisors of 138355224000
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 125 140 147 150 160 168 175 192 196 200 210 224 240 245 250 280 294 300 320 336 343 350 375 392 400 420 448 480 490 500 525 560 588 600 672 686 700 735 750 784 800 840 875 960 980 1000 1029 1050 1120 1176 1200 1225 1344 1372 1400 1470 1500 1568 1600 1680 1715 1750 1960 2000 2058 2100 2240 2352 2400 2401 2450 2625 2744 2800 2940 3000 3136 3360 3430 3500 3675 3920 4000 4116 4200 4704 4800 4802 4900 5145 5250 5488 5600 5880 6000 6125 6720 6860 7000 7203 7350 7840 8000 8232 8400 8575 9408 9604 9800 10290 10500 10976 11200 11760 12000 12005 12250 13720 14000 14406 14700 15680 16464 16800 16807 17150 18375 19208 19600 20580 21000 21952 23520 24000 24010 24500 25725 27440 28000 28812 29400 32928 33600 33614 34300 36015 36750 38416 39200 41160 42000 42875 47040 48020 49000 50421 51450 54880 56000 57624 58800 60025 65856 67228 68600 72030 73500 76832 78400 82320 84000 84035 85750 96040 98000 100842 102900 109760 115248 117600 117649 120050 128625 134456 137200 144060 147000 153664 164640 168000 168070 171500 180075 192080 196000 201684 205800 230496 235200 235298 240100 252105 257250 268912 274400 288120 294000 300125 329280 336140 343000 352947 360150 384160 392000 403368 411600 420175 460992 470596 480200 504210 514500 537824 548800 576240 588000 588245 600250 672280 686000 705894 720300 768320 806736 823200 823543 840350 900375 941192 960400 1008420 1029000 1075648 1152480 1176000 1176490 1200500 1260525 1344560 1372000 1411788 1440600 1613472 1646400 1647086 1680700 1764735 1800750 1882384 1920800 2016840 2058000 2100875 2304960 2352980 2401000 2470629 2521050 2689120 2744000 2823576 2881200 2941225 3226944 3294172 3361400 3529470 3601500 3764768 3841600 4033680 4116000 4117715 4201750 4705960 4802000 4941258 5042100 5378240 5647152 5762400 5764801 5882450 6302625 6588344 6722800 7058940 7203000 7529536 8067360 8232000 8235430 8403500 8823675 9411920 9604000 9882516 10084200 11294304 11524800 11529602 11764900 12353145 12605250 13176688 13445600 14117880 14406000 14706125 16134720 16470860 16807000 17294403 17647350 18823840 19208000 19765032 20168400 20588575 22588608 23059204 23529800 24706290 25210500 26353376 26891200 28235760 28812000 28824005 29412250 32941720 33614000 34588806 35294700 37647680 39530064 40336800 41177150 44118375 46118408 47059600 49412580 50421000 52706752 56471520 57624000 57648010 58824500 61765725 65883440 67228000 69177612 70589400 79060128 80673600 82354300 86472015 88236750 92236816 94119200 98825160 100842000 102942875 112943040 115296020 117649000 123531450 131766880 134456000 138355224 141178800 144120025 158120256 164708600 172944030 176473500 184473632 188238400 197650320 201684000 205885750 230592040 235298000 247062900 263533760 276710448 282357600 288240050 308828625 329417200 345888060 352947000 368947264 395300640 403368000 411771500 432360075 461184080 470596000 494125800 553420896 564715200 576480100 617657250 658834400 691776120 705894000 720600125 790601280 823543000 864720150 922368160 941192000 988251600 1106841792 1152960200 1235314500 1317668800 1383552240 1411788000 1441200250 1647086000 1729440300 1844736320 1976503200 2161800375 2305920400 2470629000 2767104480 2823576000 2882400500 3294172000 3458880600 3953006400 4323600750 4611840800 4941258000 5534208960 5764801000 6588344000 6917761200 8647201500 9223681600 9882516000 11529602000 13835522400 17294403000 19765032000 23059204000 27671044800 34588806000 46118408000 69177612000 138355224000
- Sum of all divisors σ(n): 532990428048
- Sum of proper divisors (its aliquot sum) s(n): 394635204048
- 138355224000 is an abundant number, because the sum of its proper divisors (394635204048) is greater than itself. Its abundance is 256279980048
Bases of 138355224000
- Binary: 100000001101101001110100101101110000002
- Hexadecimal: 0x20369D2DC0
- Base-36: 1RK54M2O
Squares and roots of 138355224000
- 138355224000 squared (1383552240002) is 19142168008090176000000
- 138355224000 cubed (1383552240003) is 2648418942604950112679424000000000
-
The
square root of 138355224000 is 371961.3205697603 -
The
cube root of 138355224000 is 5172.0794461459
Scales and comparisons
How big is 138355224000?- 138,355,224,000 seconds is equal to 4,399 years, 13 weeks, 6 days, 14 hours, 40 minutes.
-
To count from 1 to 138,355,224,000 would take you about eight thousand, seven hundred ninety-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 138355224000 cubic inches would be around 431 feet tall.
Recreational maths with 138355224000
- 138355224000 backwards is 000422553831
- The number of decimal digits it has is: 12
- The sum of 138355224000's digits is 33
- More coming soon!
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