137813064480000
137,813,064,480,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 137813064480000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 4320 divisors.
137813064480000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, three hundred twenty divisors.
Prime factorization of 137813064480000:
28 × 32 × 54 × 73 × 133 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 13 × 13 × 13 × 127)See below for interesting mathematical facts about the number 137813064480000 from the Numbermatics database.
Names of 137813064480000
- Cardinal: 137813064480000 can be written as One hundred thirty-seven trillion, eight hundred thirteen billion, sixty-four million, four hundred eighty thousand.
Scientific notation
- Scientific notation: 1.3781306448 × 1014
Factors of 137813064480000
Divisors of 137813064480000
- Number of divisors d(n): 4320
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 32 35 36 39 40 42 45 48 49 50 52 56 60 63 64 65 70 72 75 78 80 84 90 91 96 98 100 104 105 112 117 120 125 126 127 128 130 140 144 147 150 156 160 168 169 175 180 182 192 195 196 200 208 210 224 225 234 240 245 250 252 254 256 260 273 280 288 294 300 312 315 320 325 336 338 343 350 360 364 375 381 384 390 392 400 416 420 441 448 450 455 468 480 490 500 504 507 508 520 525 546 560 576 585 588 600 624 625 630 635 637 640 650 672 676 686 700 720 728 735 750 762 768 780 784 800 819 832 840 845 875 882 889 896 900 910 936 960 975 980 1000 1008 1014 1016 1029 1040 1050 1092 1120 1125 1143 1152 1170 1176 1183 1200 1225 1248 1250 1260 1270 1274 1280 1300 1344 1352 1365 1372 1400 1440 1456 1470 1500 1521 1524 1560 1568 1575 1600 1625 1638 1651 1664 1680 1690 1715 1750 1764 1778 1792 1800 1820 1872 1875 1905 1911 1920 1950 1960 2000 2016 2028 2032 2058 2080 2100 2184 2197 2205 2240 2250 2275 2286 2304 2340 2352 2366 2400 2450 2496 2500 2520 2535 2540 2548 2600 2625 2667 2688 2704 2730 2744 2800 2880 2912 2925 2940 3000 3042 3048 3087 3120 3136 3150 3175 3185 3200 3250 3276 3302 3328 3360 3380 3430 3500 3528 3549 3556 3600 3640 3675 3744 3750 3810 3822 3840 3900 3920 4000 4032 4056 4064 4095 4116 4160 4200 4225 4368 4375 4394 4410 4445 4459 4480 4500 4550 4572 4680 4704 4732 4800 4875 4900 4953 4992 5000 5040 5070 5080 5096 5145 5200 5250 5334 5376 5408 5460 5488 5600 5625 5715 5733 5760 5824 5850 5880 5915 6000 6084 6096 6125 6174 6223 6240 6272 6300 6350 6370 6400 6500 6552 6591 6604 6720 6760 6825 6860 7000 7056 7098 7112 7200 7280 7350 7488 7500 7605 7620 7644 7800 7840 7875 8000 8001 8064 8112 8125 8128 8190 8232 8255 8281 8320 8400 8450 8575 8736 8750 8788 8820 8890 8918 8960 9000 9100 9144 9360 9408 9464 9525 9555 9600 9750 9800 9906 9984 10000 10080 10140 10160 10192 10290 10400 10500 10647 10668 10816 10920 10976 10985 11025 11200 11250 11375 11430 11466 11520 11557 11648 11700 11760 11830 12000 12168 12192 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34453266120000 45937688160000 68906532240000 137813064480000
- Sum of all divisors σ(n): 632211227648000
- Sum of proper divisors (its aliquot sum) s(n): 494398163168000
- 137813064480000 is an abundant number, because the sum of its proper divisors (494398163168000) is greater than itself. Its abundance is 356585098688000
Bases of 137813064480000
- Binary: 111110101010111000110101100000011110101000000002
- Hexadecimal: 0x7D571AC0F500
- Base-36: 1CUMG4D340
Squares and roots of 137813064480000
- 137813064480000 squared (1378130644800002) is 18992440741368637670400000000
- 137813064480000 cubed (1378130644800003) is 2617406460522815066720592187392000000000000
-
The
square root of 137813064480000 is 11739380.9240521709 -
The
cube root of 137813064480000 is 51653.1482308979
Scales and comparisons
How big is 137813064480000?- 137,813,064,480,000 seconds is equal to 4,382,029 years, 8 weeks, 4 days, 16 hours.
-
To count from 1 to 137,813,064,480,000 would take you about ten million, nine hundred fifty-five thousand and seventy-two 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 137813064480000 cubic inches would be around 4304.4 feet tall.
Recreational maths with 137813064480000
- 137813064480000 backwards is 000084460318731
- 137813064480000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137813064480000's digits is 45
- More coming soon!
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"Number 137813064480000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 137813064480000 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/137813064480000/
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The information we have on file for 137813064480000 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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