137013408000000
137,013,408,000,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 137013408000000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 4032 divisors.
137013408000000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand and thirty-two divisors.
Prime factorization of 137013408000000:
211 × 32 × 56 × 73 × 19 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 19 × 73)See below for interesting mathematical facts about the number 137013408000000 from the Numbermatics database.
Names of 137013408000000
- Cardinal: 137013408000000 can be written as One hundred thirty-seven trillion, thirteen billion, four hundred eight million.
Scientific notation
- Scientific notation: 1.37013408 × 1014
Factors of 137013408000000
Divisors of 137013408000000
- Number of divisors d(n): 4032
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 28 30 32 35 36 38 40 42 45 48 49 50 56 57 60 63 64 70 72 73 75 76 80 84 90 95 96 98 100 105 112 114 120 125 126 128 133 140 144 146 147 150 152 160 168 171 175 180 190 192 196 200 210 219 224 225 228 240 245 250 252 256 266 280 285 288 292 294 300 304 315 320 336 342 343 350 360 365 375 380 384 392 399 400 420 438 441 448 450 456 475 480 490 500 504 511 512 525 532 560 570 576 584 588 600 608 625 630 640 657 665 672 684 686 700 720 730 735 750 760 768 784 798 800 840 855 875 876 882 896 900 912 931 950 960 980 1000 1008 1022 1024 1029 1050 1064 1095 1120 1125 1140 1152 1168 1176 1197 1200 1216 1225 1250 1260 1280 1314 1330 1344 1368 1372 1387 1400 1425 1440 1460 1470 1500 1520 1533 1536 1568 1575 1596 1600 1680 1710 1715 1750 1752 1764 1792 1800 1824 1825 1862 1875 1900 1920 1960 1995 2000 2016 2044 2048 2058 2100 2128 2190 2205 2240 2250 2280 2304 2336 2352 2375 2394 2400 2432 2450 2500 2520 2555 2560 2625 2628 2660 2688 2736 2744 2774 2793 2800 2850 2880 2920 2940 3000 3040 3066 3072 3087 3125 3136 3150 3192 3200 3285 3325 3360 3420 3430 3500 3504 3528 3577 3584 3600 3648 3650 3675 3724 3750 3800 3840 3920 3990 4000 4032 4088 4116 4161 4200 4256 4275 4375 4380 4410 4480 4500 4560 4599 4608 4655 4672 4704 4750 4788 4800 4864 4900 5000 5040 5110 5120 5145 5250 5256 5320 5376 5472 5475 5488 5548 5586 5600 5625 5700 5760 5840 5880 5985 6000 6080 6125 6132 6144 6174 6250 6272 6300 6384 6400 6517 6570 6650 6720 6840 6860 6935 7000 7008 7056 7125 7154 7168 7200 7296 7300 7350 7448 7500 7600 7665 7680 7840 7875 7980 8000 8064 8176 8232 8322 8379 8400 8512 8550 8575 8750 8760 8820 8960 9000 9120 9125 9198 9216 9310 9344 9375 9408 9500 9576 9600 9709 9728 9800 9975 10000 10080 10220 10240 10290 10500 10512 10640 10731 10752 10944 10950 10976 11025 11096 11172 11200 11250 11400 11520 11680 11760 11875 11970 12000 12160 12250 12264 12348 12483 12500 12544 12600 12768 12775 12800 13034 13125 13140 13300 13440 13680 13720 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- Sum of all divisors σ(n): 615521808720000
- Sum of proper divisors (its aliquot sum) s(n): 478508400720000
- 137013408000000 is an abundant number, because the sum of its proper divisors (478508400720000) is greater than itself. Its abundance is 341494992720000
Bases of 137013408000000
- Binary: 111110010011100111010111000001101101000000000002
- Hexadecimal: 0x7C9CEB836800
- Base-36: 1CKF39JI80
Squares and roots of 137013408000000
- 137013408000000 squared (1370134080000002) is 18772673971774464000000000000
- 137013408000000 cubed (1370134080000003) is 2572108038145715120013312000000000000000000
-
The
square root of 137013408000000 is 11705272.6580802039 -
The
cube root of 137013408000000 is 51553.0490535065
Scales and comparisons
How big is 137013408000000?- 137,013,408,000,000 seconds is equal to 4,356,602 years, 29 weeks, 2 days, 8 hours.
-
To count from 1 to 137,013,408,000,000 would take you about ten million, eight hundred ninety-one thousand, five 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 137013408000000 cubic inches would be around 4296.1 feet tall.
Recreational maths with 137013408000000
- 137013408000000 backwards is 000000804310731
- The number of decimal digits it has is: 15
- The sum of 137013408000000's digits is 27
- More coming soon!
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"Number 137013408000000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 137013408000000 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/137013408000000/
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The information we have on file for 137013408000000 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!
Keywords: Divisors of 137013408000000, math, Factors of 137013408000000, curriculum, school, college, exams, university, Prime factorization of 137013408000000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, thirteen billion, four hundred eight million.