138242506752000000
138,242,506,752,000,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138242506752000000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 7938 divisors.
138242506752000000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven thousand, nine hundred thirty-eight divisors.
Prime factorization of 138242506752000000:
220 × 32 × 56 × 72 × 192 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 19 × 19 × 53)See below for interesting mathematical facts about the number 138242506752000000 from the Numbermatics database.
Names of 138242506752000000
- Cardinal: 138242506752000000 can be written as One hundred thirty-eight quadrillion, two hundred forty-two trillion, five hundred six billion, seven hundred fifty-two million.
Scientific notation
- Scientific notation: 1.38242506752 × 1017
Factors of 138242506752000000
Divisors of 138242506752000000
- Number of divisors d(n): 7938
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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 53 56 57 60 63 64 70 72 75 76 80 84 90 95 96 98 100 105 106 112 114 120 125 126 128 133 140 144 147 150 152 159 160 168 171 175 180 190 192 196 200 210 212 224 225 228 240 245 250 252 256 265 266 280 285 288 294 300 304 315 318 320 336 342 350 360 361 371 375 380 384 392 399 400 420 424 441 448 450 456 475 477 480 490 500 504 512 525 530 532 560 570 576 588 600 608 625 630 636 640 665 672 684 700 720 722 735 742 750 760 768 784 795 798 800 840 848 855 875 882 896 900 912 931 950 954 960 980 1000 1007 1008 1024 1050 1060 1064 1083 1113 1120 1125 1140 1152 1176 1197 1200 1216 1225 1250 1260 1272 1280 1325 1330 1344 1368 1400 1425 1440 1444 1470 1484 1500 1520 1536 1568 1575 1590 1596 1600 1680 1696 1710 1750 1764 1792 1800 1805 1824 1855 1862 1875 1900 1908 1920 1960 1995 2000 2014 2016 2048 2100 2120 2128 2166 2205 2226 2240 2250 2280 2304 2352 2375 2385 2394 2400 2432 2450 2500 2520 2527 2544 2560 2597 2625 2650 2660 2688 2736 2793 2800 2850 2880 2888 2940 2968 3000 3021 3040 3072 3125 3136 3150 3180 3192 3200 3249 3325 3339 3360 3392 3420 3500 3528 3584 3600 3610 3648 3675 3710 3724 3750 3800 3816 3840 3920 3975 3990 4000 4028 4032 4096 4200 4240 4256 4275 4332 4375 4410 4452 4480 4500 4560 4608 4655 4704 4750 4770 4788 4800 4864 4900 5000 5035 5040 5054 5088 5120 5194 5250 5300 5320 5376 5415 5472 5565 5586 5600 5625 5700 5760 5776 5880 5936 5985 6000 6042 6080 6125 6144 6250 6272 6300 6360 6384 6400 6498 6625 6650 6678 6720 6784 6840 7000 7049 7056 7125 7168 7200 7220 7296 7350 7420 7448 7500 7581 7600 7632 7680 7791 7840 7875 7950 7980 8000 8056 8064 8192 8379 8400 8480 8512 8550 8664 8750 8820 8904 8960 9000 9025 9063 9120 9216 9275 9310 9375 9408 9500 9540 9576 9600 9728 9800 9975 10000 10070 10080 10108 10176 10240 10388 10500 10600 10640 10752 10830 10944 11025 11130 11172 11200 11250 11400 11520 11552 11760 11872 11875 11925 11970 12000 12084 12160 12250 12288 12500 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23040417792000000 27648501350400000 34560626688000000 46080835584000000 69121253376000000 138242506752000000
- Sum of all divisors σ(n): 624440589937709454
- Sum of proper divisors (its aliquot sum) s(n): 486198083185709454
- 138242506752000000 is an abundant number, because the sum of its proper divisors (486198083185709454) is greater than itself. Its abundance is 347955576433709454
Bases of 138242506752000000
- Binary: 1111010110010001011010011110100111101000000000000000000002
- Hexadecimal: 0x1EB22D3D3D00000
- Base-36: 11T6VMV8E0W0
Squares and roots of 138242506752000000
- 138242506752000000 squared (1382425067520000002) is 19110990673076765589504000000000000
- 138242506752000000 cubed (1382425067520000003) is 2641951257160223791621327980331008000000000000000000
-
The
square root of 138242506752000000 is 371809772.2653346291 -
The
cube root of 138242506752000000 is 517067.4509553515
Scales and comparisons
How big is 138242506752000000?- 138,242,506,752,000,000 seconds is equal to 4,395,684,102 years, 29 weeks, 2 days, 8 hours.
-
To count from 1 to 138,242,506,752,000,000 would take you about thirteen billion, one hundred eighty-seven million, fifty-two thousand, three hundred seven 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 138242506752000000 cubic inches would be around 43089 feet tall.
Recreational maths with 138242506752000000
- 138242506752000000 backwards is 000000257605242831
- 138242506752000000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138242506752000000's digits is 45
- More coming soon!
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"Number 138242506752000000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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Numbermatics. (2024). Number 138242506752000000 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/138242506752000000/
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The information we have on file for 138242506752000000 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 138242506752000000, math, Factors of 138242506752000000, curriculum, school, college, exams, university, Prime factorization of 138242506752000000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, two hundred forty-two trillion, five hundred six billion, seven hundred fifty-two million.