137485946880000
137,485,946,880,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 137485946880000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2880 divisors.
137485946880000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 137485946880000:
215 × 32 × 54 × 172 × 29 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 17 × 17 × 29 × 89)See below for interesting mathematical facts about the number 137485946880000 from the Numbermatics database.
Names of 137485946880000
- Cardinal: 137485946880000 can be written as One hundred thirty-seven trillion, four hundred eighty-five billion, nine hundred forty-six million, eight hundred eighty thousand.
Scientific notation
- Scientific notation: 1.3748594688 × 1014
Factors of 137485946880000
Divisors of 137485946880000
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 29 30 32 34 36 40 45 48 50 51 58 60 64 68 72 75 80 85 87 89 90 96 100 102 116 120 125 128 136 144 145 150 153 160 170 174 178 180 192 200 204 225 232 240 250 255 256 261 267 272 288 289 290 300 306 320 340 348 356 360 375 384 400 408 425 435 445 450 464 480 493 500 510 512 522 534 544 576 578 580 600 612 625 640 680 696 712 720 725 750 765 768 800 801 816 850 867 870 890 900 928 960 986 1000 1020 1024 1044 1068 1088 1125 1152 1156 1160 1200 1224 1250 1275 1280 1305 1335 1360 1392 1424 1440 1445 1450 1479 1500 1513 1530 1536 1600 1602 1632 1700 1734 1740 1780 1800 1856 1875 1920 1972 2000 2040 2048 2088 2125 2136 2175 2176 2225 2250 2304 2312 2320 2400 2448 2465 2500 2550 2560 2581 2601 2610 2670 2720 2784 2848 2880 2890 2900 2958 3000 3026 3060 3072 3200 3204 3264 3400 3468 3480 3560 3600 3625 3712 3750 3825 3840 3944 4000 4005 4080 4096 4176 4250 4272 4335 4350 4352 4437 4450 4500 4539 4608 4624 4640 4800 4896 4930 5000 5100 5120 5162 5202 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859287168000 898600960000 916572979200 948178944000 954763520000 1010926080000 1074108960000 1099887575040 1145716224000 1185223680000 1347901440000 1374859468800 1432145280000 1527621632000 1544785920000 1580298240000 1617481728000 1718574336000 1833145958400 1909527040000 2021852160000 2148217920000 2291432448000 2370447360000 2695802880000 2749718937600 2864290560000 3055243264000 3437148672000 3819054080000 4043704320000 4296435840000 4582864896000 4740894720000 5499437875200 5728581120000 6874297344000 7638108160000 8087408640000 8592871680000 9165729792000 11457162240000 13748594688000 15276216320000 17185743360000 22914324480000 27497189376000 34371486720000 45828648960000 68742973440000 137485946880000
- Sum of all divisors σ(n): 551530875109500
- Sum of proper divisors (its aliquot sum) s(n): 414044928229500
- 137485946880000 is an abundant number, because the sum of its proper divisors (414044928229500) is greater than itself. Its abundance is 276558981349500
Bases of 137485946880000
- Binary: 111110100001010111100010000011010000000000000002
- Hexadecimal: 0x7D0AF1068000
- Base-36: 1CQG66ZNK0
Squares and roots of 137485946880000
- 137485946880000 squared (1374859468800002) is 18902385589490181734400000000
- 137485946880000 cubed (1374859468800003) is 2598812381061924612217264668672000000000000
-
The
square root of 137485946880000 is 11725440.1571966585 -
The
cube root of 137485946880000 is 51612.2473182023
Scales and comparisons
How big is 137485946880000?- 137,485,946,880,000 seconds is equal to 4,371,627 years, 43 weeks, 4 days, 8 hours.
-
To count from 1 to 137,485,946,880,000 would take you about ten million, nine hundred twenty-nine thousand and sixty-nine 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 137485946880000 cubic inches would be around 4301 feet tall.
Recreational maths with 137485946880000
- 137485946880000 backwards is 000088649584731
- The number of decimal digits it has is: 15
- The sum of 137485946880000's digits is 63
- More coming soon!
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Cite this page
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"Number 137485946880000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 137485946880000 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/137485946880000/
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The information we have on file for 137485946880000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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