138478480000
138,478,480,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138478480000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 320 divisors.
138478480000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 138478480000:
27 × 54 × 7 × 29 × 8527
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 29 × 8527)See below for interesting mathematical facts about the number 138478480000 from the Numbermatics database.
Names of 138478480000
- Cardinal: 138478480000 can be written as One hundred thirty-eight billion, four hundred seventy-eight million, four hundred eighty thousand.
Scientific notation
- Scientific notation: 1.3847848 × 1011
Factors of 138478480000
Divisors of 138478480000
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 29 32 35 40 50 56 58 64 70 80 100 112 116 125 128 140 145 160 175 200 203 224 232 250 280 290 320 350 400 406 448 464 500 560 580 625 640 700 725 800 812 875 896 928 1000 1015 1120 1160 1250 1400 1450 1600 1624 1750 1856 2000 2030 2240 2320 2500 2800 2900 3200 3248 3500 3625 3712 4000 4060 4375 4480 4640 5000 5075 5600 5800 6496 7000 7250 8000 8120 8527 8750 9280 10000 10150 11200 11600 12992 14000 14500 16000 16240 17054 17500 18125 18560 20000 20300 22400 23200 25375 25984 28000 29000 32480 34108 35000 36250 40000 40600 42635 46400 50750 56000 58000 59689 64960 68216 70000 72500 80000 81200 85270 92800 101500 112000 116000 119378 126875 129920 136432 140000 145000 162400 170540 203000 213175 232000 238756 247283 253750 272864 280000 290000 298445 324800 341080 406000 426350 464000 477512 494566 507500 545728 560000 580000 596890 649600 682160 812000 852700 955024 989132 1015000 1065875 1091456 1160000 1193780 1236415 1364320 1492225 1624000 1705400 1730981 1910048 1978264 2030000 2131750 2320000 2387560 2472830 2728640 2984450 3248000 3410800 3461962 3820096 3956528 4060000 4263500 4775120 4945660 5329375 5457280 5968900 6182075 6821600 6923924 7461125 7640192 7913056 8120000 8527000 8654905 9550240 9891320 10658750 11937800 12364150 13643200 13847848 14922250 15826112 16240000 17054000 17309810 19100480 19782640 21317500 23875600 24728300 27286400 27695696 29844500 30910375 31652224 34108000 34619620 37305625 38200960 39565280 42635000 43274525 47751200 49456600 55391392 59689000 61820750 68216000 69239240 74611250 79130560 85270000 86549050 95502400 98913200 110782784 119378000 123641500 136432000 138478480 149222500 154551875 158261120 170540000 173098100 191004800 197826400 216372625 221565568 238756000 247283000 276956960 298445000 309103750 341080000 346196200 395652800 432745250 477512000 494566000 553913920 596890000 618207500 682160000 692392400 791305600 865490500 955024000 989132000 1081863125 1107827840 1193780000 1236415000 1384784800 1730981000 1978264000 2163726250 2387560000 2472830000 2769569600 3461962000 3956528000 4327452500 4775120000 4945660000 5539139200 6923924000 8654905000 9891320000 13847848000 17309810000 19782640000 27695696000 34619620000 69239240000 138478480000
- Sum of all divisors σ(n): 407614521600
- Sum of proper divisors (its aliquot sum) s(n): 269136041600
- 138478480000 is an abundant number, because the sum of its proper divisors (269136041600) is greater than itself. Its abundance is 130657561600
Bases of 138478480000
- Binary: 100000001111011111010111101010100000002
- Hexadecimal: 0x203DF5EA80
- Base-36: 1RM6IF0G
Squares and roots of 138478480000
- 138478480000 squared (1384784800002) is 19176289423110400000000
- 138478480000 cubed (1384784800003) is 2655503411352405064192000000000000
-
The
square root of 138478480000 is 372126.9675796153 -
The
cube root of 138478480000 is 5173.6148672969
Scales and comparisons
How big is 138478480000?- 138,478,480,000 seconds is equal to 4,403 years, 9 weeks, 5 days, 4 hours, 26 minutes, 40 seconds.
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To count from 1 to 138,478,480,000 would take you about eight thousand, eight hundred six 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 138478480000 cubic inches would be around 431.1 feet tall.
Recreational maths with 138478480000
- 138478480000 backwards is 000084874831
- The number of decimal digits it has is: 12
- The sum of 138478480000's digits is 43
- More coming soon!
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