1138738349056000
1,138,738,349,056,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 1138738349056000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 4032 divisors.
1138738349056000 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 1138738349056000:
213 × 53 × 72 × 113 × 172 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 11 × 11 × 11 × 17 × 17 × 59)See below for interesting mathematical facts about the number 1138738349056000 from the Numbermatics database.
Names of 1138738349056000
- Cardinal: 1138738349056000 can be written as One quadrillion, one hundred thirty-eight trillion, seven hundred thirty-eight billion, three hundred forty-nine million, fifty-six thousand.
Scientific notation
- Scientific notation: 1.138738349056 × 1015
Factors of 1138738349056000
Divisors of 1138738349056000
- Number of divisors d(n): 4032
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 17 20 22 25 28 32 34 35 40 44 49 50 55 56 59 64 68 70 77 80 85 88 98 100 110 112 118 119 121 125 128 136 140 154 160 170 175 176 187 196 200 220 224 236 238 242 245 250 256 272 275 280 289 295 308 320 340 350 352 374 385 392 400 413 425 440 448 472 476 484 490 500 512 539 544 550 560 578 590 595 605 616 640 649 680 700 704 748 770 784 800 826 833 847 850 875 880 896 935 944 952 968 980 1000 1003 1024 1078 1088 1100 1120 1156 1180 1190 1210 1225 1232 1280 1298 1309 1331 1360 1375 1400 1408 1445 1475 1496 1540 1568 1600 1652 1666 1694 1700 1750 1760 1792 1870 1888 1904 1925 1936 1960 2000 2006 2023 2048 2057 2065 2125 2156 2176 2200 2240 2312 2360 2380 2420 2450 2464 2560 2596 2618 2662 2695 2720 2750 2800 2816 2890 2891 2950 2975 2992 3025 3080 3136 3179 3200 3245 3304 3332 3388 3400 3500 3520 3584 3740 3776 3808 3850 3872 3920 4000 4012 4046 4096 4114 4130 4165 4235 4250 4312 4352 4400 4480 4543 4624 4675 4720 4760 4840 4900 4928 5015 5120 5192 5236 5324 5390 5440 5500 5600 5632 5780 5782 5900 5929 5950 5984 6050 6125 6160 6272 6358 6400 6490 6545 6608 6655 6664 6776 6800 7000 7021 7040 7139 7168 7225 7375 7480 7552 7616 7700 7744 7840 8000 8024 8092 8192 8228 8260 8330 8470 8500 8624 8704 8800 8960 9086 9163 9248 9317 9350 9440 9520 9625 9680 9800 9856 10030 10115 10240 10285 10325 10384 10472 10648 10780 10880 11000 11033 11200 11264 11560 11564 11800 11858 11900 11968 12100 12250 12320 12544 12716 12800 12980 13090 13216 13310 13328 13475 13552 13600 14000 14042 14080 14161 14278 14336 14399 14450 14455 14750 14875 14960 15104 15125 15232 15400 15488 15680 15895 16000 16048 16184 16225 16456 16520 16660 16940 17000 17051 17248 17408 17600 17920 18172 18326 18496 18634 18700 18880 19040 19250 19360 19600 19712 20060 20230 20480 20570 20650 20768 20825 20944 21175 21296 21560 21760 22000 22066 22253 22400 22528 22627 22715 23120 23128 23375 23600 23716 23800 23936 24200 24500 24640 25075 25088 25432 25600 25960 26180 26432 26620 26656 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14788809728000 16267690700800 16746152192000 17792786704000 19300649984000 20334613376000 20704333619200 22774766981120 23239558144000 25880417024000 28468458726400 32535381401600 33492304384000 35585573408000 40669226752000 45549533962240 51760834048000 56936917452800 66984608768000 71171146816000 81338453504000 103521668096000 113873834905600 142342293632000 162676907008000 227747669811200 284684587264000 569369174528000 1138738349056000
- Sum of all divisors σ(n): 3928471328695680
- Sum of proper divisors (its aliquot sum) s(n): 2789732979639680
- 1138738349056000 is an abundant number, because the sum of its proper divisors (2789732979639680) is greater than itself. Its abundance is 1650994630583680
Bases of 1138738349056000
- Binary: 1000000101110101101001011101100100110100000000000002
- Hexadecimal: 0x40BAD2EC9A000
- Base-36: B7ND6BOAV4
Squares and roots of 1138738349056000
- 1138738349056000 squared (11387383490560002) is 1296725027610784496091136000000
- 1138738349056000 cubed (11387383490560003) is 1476630517121100753219821093955567616000000000
-
The
square root of 1138738349056000 is 33745197.4220925251 -
The
cube root of 1138738349056000 is 104425.8411470883
Scales and comparisons
How big is 1138738349056000?- 1,138,738,349,056,000 seconds is equal to 36,208,357 years, 7 weeks, 5 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 1,138,738,349,056,000 would take you about one hundred eight million, six hundred twenty-five thousand and seventy-one 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 1138738349056000 cubic inches would be around 8702.2 feet tall.
Recreational maths with 1138738349056000
- 1138738349056000 backwards is 0006509438378311
- The number of decimal digits it has is: 16
- The sum of 1138738349056000's digits is 58
- More coming soon!
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"Number 1138738349056000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 1138738349056000 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/1138738349056000/
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The information we have on file for 1138738349056000 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 1138738349056000, math, Factors of 1138738349056000, curriculum, school, college, exams, university, Prime factorization of 1138738349056000, STEM, science, technology, engineering, physics, economics, calculator, one quadrillion, one hundred thirty-eight trillion, seven hundred thirty-eight billion, three hundred forty-nine million, fifty-six thousand.