138021826008000000
138,021,826,008,000,000 is an even composite number composed of seven prime numbers multiplied together.
138021826008000000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven thousand, five hundred sixty divisors.
Prime factorization of 138021826008000000:
29 × 3 × 56 × 112 × 192 × 312 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 11 × 11 × 19 × 19 × 31 × 31 × 137)See below for interesting mathematical facts about the number 138021826008000000 from the Numbermatics database.
Names of 138021826008000000
- Cardinal: 138021826008000000 can be written as One hundred thirty-eight quadrillion, twenty-one trillion, eight hundred twenty-six billion, eight million.
Scientific notation
- Scientific notation: 1.38021826008 × 1017
Factors of 138021826008000000
Divisors of 138021826008000000
- Number of divisors d(n): 7560
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 25 30 31 32 33 38 40 44 48 50 55 57 60 62 64 66 75 76 80 88 93 95 96 100 110 114 120 121 124 125 128 132 137 150 152 155 160 165 176 186 190 192 200 209 220 228 240 242 248 250 256 264 274 275 285 300 304 310 320 330 341 352 361 363 372 375 380 384 400 411 418 440 456 465 475 480 484 496 500 512 528 548 550 570 589 600 605 608 620 625 627 640 660 682 685 704 722 726 744 750 760 768 775 800 822 825 836 880 912 930 950 960 961 968 992 1000 1023 1045 1056 1083 1096 1100 1140 1178 1200 1210 1216 1240 1250 1254 1280 1320 1364 1370 1375 1408 1425 1444 1452 1488 1500 1507 1520 1536 1550 1600 1644 1650 1672 1705 1760 1767 1805 1815 1824 1860 1875 1900 1920 1922 1936 1984 2000 2046 2055 2090 2112 2166 2192 2200 2280 2299 2325 2356 2375 2400 2420 2432 2480 2500 2508 2560 2603 2640 2728 2740 2750 2816 2850 2883 2888 2904 2945 2976 3000 3014 3025 3040 3100 3125 3135 3200 3288 3300 3344 3410 3425 3520 3534 3610 3630 3648 3720 3750 3751 3800 3840 3844 3872 3875 3968 3971 4000 4092 4110 4125 4180 4224 4247 4332 4384 4400 4521 4560 4598 4650 4712 4750 4800 4805 4840 4864 4960 5000 5016 5115 5206 5225 5280 5415 5456 5480 5500 5632 5700 5766 5776 5808 5890 5952 6000 6028 6050 6080 6200 6250 6270 6400 6479 6576 6600 6688 6820 6850 6875 6897 7040 7068 7125 7220 7260 7296 7440 7500 7502 7535 7600 7680 7688 7744 7750 7809 7936 7942 8000 8184 8220 8250 8360 8448 8494 8525 8664 8768 8800 8835 9025 9042 9075 9120 9196 9300 9375 9424 9500 9600 9610 9680 9728 9920 10000 10032 10230 10275 10412 10450 10560 10571 10830 10912 10960 11000 11191 11253 11400 11495 11532 11552 11616 11625 11780 11875 11904 11913 12000 12056 12100 12160 12400 12500 12540 12741 12800 12958 13015 13152 13200 13376 13640 13700 13750 13794 14080 14136 14250 14415 14440 14520 14592 14725 14880 15000 15004 15070 15125 15200 15376 15488 15500 15618 15625 15675 15872 15884 16000 16368 16440 16500 16577 16720 16896 16988 17050 17125 17328 17536 17600 17670 18050 18084 18150 18240 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5750909417000000 6273719364000000 6901091300400000 7264306632000000 8626364125500000 9201455067200000 11501818834000000 12547438728000000 13802182600800000 17252728251000000 23003637668000000 27604365201600000 34505456502000000 46007275336000000 69010913004000000 138021826008000000
- Sum of all divisors σ(n): 554964312872587464
- Sum of proper divisors (its aliquot sum) s(n): 416942486864587464
- 138021826008000000 is an abundant number, because the sum of its proper divisors (416942486864587464) is greater than itself. Its abundance is 278920660856587464
Bases of 138021826008000000
- Binary: 1111010100101101000011110100101100111010100100110000000002
- Hexadecimal: 0x1EA5A1E96752600
- Base-36: 11R0NJJ77X1C
Squares and roots of 138021826008000000
- 138021826008000000 squared (1380218260080000002) is 19050024454582625216064000000000000
- 138021826008000000 cubed (1380218260080000003) is 2629319160718548195831458814592512000000000000000000
-
The
square root of 138021826008000000 is 371512888.0779238861 -
The
cube root of 138021826008000000 is 516792.1675571887
Scales and comparisons
How big is 138021826008000000?- 138,021,826,008,000,000 seconds is equal to 4,388,667,137 years, 26 weeks, 5 days, 13 hours, 20 minutes.
-
To count from 1 to 138,021,826,008,000,000 would take you about thirteen billion, one hundred sixty-six million, one thousand, four hundred twelve 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 138021826008000000 cubic inches would be around 43066 feet tall.
Recreational maths with 138021826008000000
- 138021826008000000 backwards is 000000800628120831
- The number of decimal digits it has is: 18
- The sum of 138021826008000000's digits is 39
- More coming soon!
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"Number 138021826008000000 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 138021826008000000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138021826008000000/
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Numbermatics. 2024. "Number 138021826008000000 - Facts about the integer". https://numbermatics.com/n/138021826008000000/
The information we have on file for 138021826008000000 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 138021826008000000, math, Factors of 138021826008000000, curriculum, school, college, exams, university, Prime factorization of 138021826008000000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, twenty-one trillion, eight hundred twenty-six billion, eight million.