38648317968384000
38,648,317,968,384,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 38648317968384000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3648 divisors.
38648317968384000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, six hundred forty-eight divisors.
Prime factorization of 38648317968384000:
218 × 3 × 53 × 193 × 31 × 432
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 19 × 19 × 19 × 31 × 43 × 43)See below for interesting mathematical facts about the number 38648317968384000 from the Numbermatics database.
Names of 38648317968384000
- Cardinal: 38648317968384000 can be written as Thirty-eight quadrillion, six hundred forty-eight trillion, three hundred seventeen billion, nine hundred sixty-eight million, three hundred eighty-four thousand.
Scientific notation
- Scientific notation: 3.8648317968384 × 1016
Factors of 38648317968384000
Divisors of 38648317968384000
- Number of divisors d(n): 3648
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 31 32 38 40 43 48 50 57 60 62 64 75 76 80 86 93 95 96 100 114 120 124 125 128 129 150 152 155 160 172 186 190 192 200 215 228 240 248 250 256 258 285 300 304 310 320 344 361 372 375 380 384 400 430 456 465 475 480 496 500 512 516 570 589 600 608 620 640 645 688 722 744 750 760 768 775 800 817 860 912 930 950 960 992 1000 1024 1032 1075 1083 1140 1178 1200 1216 1240 1280 1290 1333 1376 1425 1444 1488 1500 1520 1536 1550 1600 1634 1720 1767 1805 1824 1849 1860 1900 1920 1984 2000 2048 2064 2150 2166 2280 2325 2356 2375 2400 2432 2451 2480 2560 2580 2666 2752 2850 2888 2945 2976 3000 3040 3072 3100 3200 3225 3268 3440 3534 3610 3648 3698 3720 3800 3840 3875 3968 3999 4000 4085 4096 4128 4300 4332 4560 4650 4712 4750 4800 4864 4902 4960 5120 5160 5332 5375 5415 5504 5547 5700 5776 5890 5952 6000 6080 6144 6200 6400 6450 6536 6665 6859 6880 7068 7125 7220 7296 7396 7440 7600 7680 7750 7936 7998 8000 8170 8192 8256 8600 8664 8835 9025 9120 9245 9300 9424 9500 9600 9728 9804 9920 10240 10320 10664 10750 10830 11008 11094 11191 11400 11552 11625 11780 11904 12000 12160 12255 12288 12400 12800 12900 13072 13330 13718 13760 14136 14250 14440 14592 14725 14792 14880 15200 15360 15500 15523 15872 15996 16000 16125 16340 16384 16512 17200 17328 17670 18050 18240 18490 18600 18848 19000 19200 19456 19608 19840 19995 20425 20480 20577 20640 21328 21500 21660 22016 22188 22382 22800 23104 23250 23560 23808 24000 24320 24510 24576 24800 25327 25600 25800 26144 26660 27075 27436 27520 27735 28272 28500 28880 29184 29450 29584 29760 30400 30720 31000 31046 31744 31992 32000 32250 32680 32768 33024 33325 33573 34295 34400 34656 35131 35340 36100 36480 36980 37200 37696 38000 38400 38912 39216 39680 39990 40850 40960 41154 41280 42656 43000 43320 44032 44175 44376 44764 45125 45600 46208 46225 46500 46569 47120 47616 48000 48640 49020 49152 49600 50654 51200 51600 52288 53320 54150 54872 55040 55470 55955 56544 57000 57319 57760 58368 58900 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201293322752000 203412199833600 207786655744000 224699523072000 241551987302400 249343986892800 254265249792000 257655453122560 299599364096000 301939984128000 309186543747072 311679983616000 322069316403200 339020333056000 386483179683840 402586645504000 406824399667200 415573311488000 449399046144000 483103974604800 508530499584000 515310906245120 603879968256000 623359967232000 644138632806400 678040666112000 772966359367680 805173291008000 898798092288000 966207949209600 1017060999168000 1207759936512000 1246719934464000 1288277265612800 1545932718735360 1610346582016000 1932415898419200 2034121998336000 2415519873024000 2576554531225600 3220693164032000 3864831796838400 4831039746048000 6441386328064000 7729663593676800 9662079492096000 12882772656128000 19324158984192000 38648317968384000
- Sum of all divisors σ(n): 143480485461381120
- Sum of proper divisors (its aliquot sum) s(n): 104832167492997120
- 38648317968384000 is an abundant number, because the sum of its proper divisors (104832167492997120) is greater than itself. Its abundance is 66183849524613120
Bases of 38648317968384000
- Binary: 100010010100111001110000101111111010110000000000000000002
- Hexadecimal: 0x894E70BFAC0000
- Base-36: AKJOO60DKAO
Squares and roots of 38648317968384000
- 38648317968384000 squared (386483179683840002) is 1493692481785313557223571456000000
- 38648317968384000 cubed (386483179683840003) is 57728701983023424585163313302030572847104000000000
-
The
square root of 38648317968384000 is 196591754.5788327309 -
The
cube root of 38648317968384000 is 338098.7246140445
Scales and comparisons
How big is 38648317968384000?- 38,648,317,968,384,000 seconds is equal to 1,228,896,964 years, 15 weeks, 3 days, 10 hours, 40 minutes.
-
To count from 1 to 38,648,317,968,384,000 would take you about three billion, six hundred eighty-six million, six hundred ninety thousand, eight hundred ninety-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 38648317968384000 cubic inches would be around 28174.9 feet tall.
Recreational maths with 38648317968384000
- 38648317968384000 backwards is 00048386971384683
- The number of decimal digits it has is: 17
- The sum of 38648317968384000's digits is 78
- More coming soon!
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"Number 38648317968384000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 38648317968384000 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/38648317968384000/
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The information we have on file for 38648317968384000 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 38648317968384000, math, Factors of 38648317968384000, curriculum, school, college, exams, university, Prime factorization of 38648317968384000, STEM, science, technology, engineering, physics, economics, calculator, thirty-eight quadrillion, six hundred forty-eight trillion, three hundred seventeen billion, nine hundred sixty-eight million, three hundred eighty-four thousand.