138675618478080000
138,675,618,478,080,000 is an even composite number composed of seven prime numbers multiplied together.
138675618478080000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five thousand, four hundred divisors.
Prime factorization of 138675618478080000:
214 × 32 × 54 × 172 × 31 × 53 × 3169
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 17 × 17 × 31 × 53 × 3169)See below for interesting mathematical facts about the number 138675618478080000 from the Numbermatics database.
Names of 138675618478080000
- Cardinal: 138675618478080000 can be written as One hundred thirty-eight quadrillion, six hundred seventy-five trillion, six hundred eighteen billion, four hundred seventy-eight million, eighty thousand.
Scientific notation
- Scientific notation: 1.3867561847808 × 1017
Factors of 138675618478080000
Divisors of 138675618478080000
- Number of divisors d(n): 5400
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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 30 31 32 34 36 40 45 48 50 51 53 60 62 64 68 72 75 80 85 90 93 96 100 102 106 120 124 125 128 136 144 150 153 155 159 160 170 180 186 192 200 204 212 225 240 248 250 255 256 265 272 279 288 289 300 306 310 318 320 340 360 372 375 384 400 408 424 425 450 465 477 480 496 500 510 512 527 530 544 558 576 578 600 612 620 625 636 640 680 720 744 750 765 768 775 795 800 816 848 850 867 900 901 930 954 960 992 1000 1020 1024 1054 1060 1088 1116 1125 1152 1156 1200 1224 1240 1250 1272 1275 1280 1325 1360 1395 1440 1445 1488 1500 1530 1536 1550 1581 1590 1600 1632 1643 1696 1700 1734 1800 1802 1860 1875 1908 1920 1984 2000 2040 2048 2108 2120 2125 2176 2232 2250 2304 2312 2325 2385 2400 2448 2480 2500 2544 2550 2560 2601 2635 2650 2703 2720 2790 2880 2890 2976 3000 3060 3072 3100 3162 3169 3180 3200 3264 3286 3392 3400 3468 3600 3604 3720 3750 3816 3825 3840 3875 3968 3975 4000 4080 4096 4216 4240 4250 4335 4352 4464 4500 4505 4608 4624 4650 4743 4770 4800 4896 4929 4960 5000 5088 5100 5120 5202 5270 5300 5406 5440 5580 5625 5760 5780 5952 6000 6120 6144 6200 6324 6338 6360 6375 6400 6528 6572 6625 6784 6800 6936 6975 7200 7208 7225 7440 7500 7632 7650 7680 7750 7905 7936 7950 8000 8109 8160 8192 8215 8432 8480 8500 8670 8704 8928 8959 9000 9010 9216 9248 9300 9486 9507 9540 9600 9792 9858 9920 10000 10176 10200 10240 10404 10540 10600 10625 10812 10880 11160 11250 11520 11560 11625 11904 11925 12000 12240 12288 12400 12648 12676 12720 12750 12800 13005 13056 13144 13175 13250 13515 13568 13600 13872 13950 14400 14416 14450 14787 14880 15000 15264 15300 15317 15360 15500 15810 15845 15872 15900 16000 16218 16320 16384 16430 16864 16960 17000 17340 17408 17856 17918 18000 18020 18432 18496 18600 18972 19014 19080 19125 19200 19375 19584 19716 19840 19875 20000 20352 20400 20480 20808 21080 21200 21250 21624 21675 21760 22320 22500 22525 23040 23120 23250 23715 23808 23850 24000 24480 24576 24645 24800 25296 25352 25440 25500 25600 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2311260307968000 2616521103360000 2719129774080000 2773512369561600 2889075384960000 3081680410624000 3466890461952000 3852100513280000 4078694661120000 4333613077440000 4473407047680000 4622520615936000 5547024739123200 5778150769920000 6933780923904000 7704201026560000 8157389322240000 8667226154880000 9245041231872000 11556301539840000 13867561847808000 15408402053120000 17334452309760000 23112603079680000 27735123695616000 34668904619520000 46225206159360000 69337809239040000 138675618478080000
- Sum of all divisors σ(n): 559464382701544320
- Sum of proper divisors (its aliquot sum) s(n): 420788764223464320
- 138675618478080000 is an abundant number, because the sum of its proper divisors (420788764223464320) is greater than itself. Its abundance is 282113145745384320
Bases of 138675618478080000
- Binary: 1111011001010110010111101100000100110010011000000000000002
- Hexadecimal: 0x1ECACBD8264C000
- Base-36: 11XGEJNBHFK0
Squares and roots of 138675618478080000
- 138675618478080000 squared (1386756184780800002) is 19230927160278003135440486400000000
- 138675618478080000 cubed (1386756184780800003) is 2666860717858458793398854892731982938112000000000000
-
The
square root of 138675618478080000 is 372391754.0414663909 -
The
cube root of 138675618478080000 is 517606.8762315829
Scales and comparisons
How big is 138675618478080000?- 138,675,618,478,080,000 seconds is equal to 4,409,455,715 years, 39 weeks, 8 hours.
-
To count from 1 to 138,675,618,478,080,000 would take you about thirteen billion, two hundred twenty-eight million, three hundred sixty-seven thousand, one hundred forty-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 138675618478080000 cubic inches would be around 43133.9 feet tall.
Recreational maths with 138675618478080000
- 138675618478080000 backwards is 000080874816576831
- 138675618478080000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138675618478080000's digits is 72
- More coming soon!
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"Number 138675618478080000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 138675618478080000 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138675618478080000/
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Numbermatics. 2024. "Number 138675618478080000 - Facts about the integer". https://numbermatics.com/n/138675618478080000/
The information we have on file for 138675618478080000 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 138675618478080000, math, Factors of 138675618478080000, curriculum, school, college, exams, university, Prime factorization of 138675618478080000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, six hundred seventy-five trillion, six hundred eighteen billion, four hundred seventy-eight million, eighty thousand.