830838334144000
830,838,334,144,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 830838334144000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2560 divisors.
830838334144000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 830838334144000:
29 × 53 × 7 × 13 × 19 × 37 × 307 × 661
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 19 × 37 × 307 × 661)See below for interesting mathematical facts about the number 830838334144000 from the Numbermatics database.
Names of 830838334144000
- Cardinal: 830838334144000 can be written as Eight hundred thirty trillion, eight hundred thirty-eight billion, three hundred thirty-four million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 8.30838334144 × 1014
Factors of 830838334144000
Divisors of 830838334144000
- Number of divisors d(n): 2560
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 19 20 25 26 28 32 35 37 38 40 50 52 56 64 65 70 74 76 80 91 95 100 104 112 125 128 130 133 140 148 152 160 175 182 185 190 200 208 224 247 250 256 259 260 266 280 296 304 307 320 325 350 364 370 380 400 416 448 455 475 481 494 500 512 518 520 532 560 592 608 614 640 650 661 665 700 703 728 740 760 800 832 875 896 910 925 950 962 988 1000 1036 1040 1064 1120 1184 1216 1228 1235 1280 1295 1300 1322 1330 1400 1406 1456 1480 1520 1535 1600 1625 1664 1729 1750 1792 1820 1850 1900 1924 1976 2000 2072 2080 2128 2149 2240 2275 2368 2375 2405 2432 2456 2470 2560 2590 2600 2644 2660 2800 2812 2912 2960 3040 3070 3200 3250 3305 3325 3328 3367 3458 3500 3515 3584 3640 3700 3800 3848 3952 3991 4000 4144 4160 4256 4298 4480 4550 4625 4627 4736 4750 4810 4864 4912 4921 4940 5180 5200 5288 5320 5600 5624 5824 5833 5920 6080 6140 6175 6400 6475 6500 6610 6650 6656 6734 6916 7000 7030 7280 7400 7600 7675 7696 7904 7982 8000 8288 8320 8512 8593 8596 8645 8960 9100 9139 9250 9254 9472 9500 9620 9728 9824 9842 9880 10360 10400 10576 10640 10745 11200 11248 11359 11375 11648 11666 11840 12025 12160 12280 12350 12559 12800 12950 13000 13220 13300 13468 13832 14000 14060 14560 14800 15200 15350 15392 15808 15964 16000 16525 16576 16625 16640 16835 17024 17186 17192 17290 17575 17920 18200 18278 18500 18508 18944 19000 19240 19648 19684 19760 19955 20720 20800 21152 21280 21490 22400 22496 22718 22750 23135 23296 23332 23680 24050 24320 24457 24560 24605 24700 25118 25900 26000 26440 26600 26936 27664 27937 28000 28120 29120 29165 29600 30400 30700 30784 30875 31616 31928 32000 32375 33050 33152 33250 33280 33670 34048 34372 34384 34580 35150 36400 36556 37000 37016 38000 38375 38480 39296 39368 39520 39910 40831 41440 41600 42304 42560 42965 42980 43225 44800 44992 45436 45500 45695 46270 46592 46664 47360 48100 48640 48914 49120 49210 49400 50236 51800 52000 52880 53200 53725 53872 55328 55874 56000 56240 56795 58240 58330 59200 60125 60151 60800 61400 61568 61750 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338289224000 341627604500 345462924800 349826667008 350860783000 365203663360 370909970600 386616256000 390431548000 399441506800 400983752000 415419167072 420464744000 431828656000 437283333760 449101802240 456504579200 463637463250 474764762368 480531136000 499301883500 511285128704 519273958840 541262758400 546604167200 561377252800 570630724000 590923424000 593455952960 624690476800 628470752000 639106410880 641574003200 649092448550 672743590400 676578448000 683255209000 701721566000 741819941200 780863096000 798883013600 801967504000 830838334144 840929488000 863657312000 874566667520 898203604480 913009158400 927274926500 949529524736 998603767000 1038547917680 1093208334400 1122754505600 1141261448000 1181846848000 1186911905920 1249380953600 1256941504000 1278212821760 1298184897100 1353156896000 1366510418000 1403443132000 1483639882400 1561726192000 1597766027200 1603935008000 1622731121375 1661676668288 1681858976000 1727314624000 1749133335040 1826018316800 1854549853000 1997207534000 2077095835360 2186416668800 2245509011200 2282522896000 2373823811840 2556425643520 2596369794200 2706313792000 2733020836000 2806886264000 2967279764800 3123452384000 3195532054400 3207870016000 3245462242750 3323353336576 3363717952000 3709099706000 3994415068000 4154191670720 4372833337600 4491018022400 4565045792000 4747647623680 5192739588400 5466041672000 5613772528000 5934559529600 6246904768000 6391064108800 6490924485500 6646706673152 7418199412000 7988830136000 8308383341440 8745666675200 9130091584000 10385479176800 10932083344000 11227545056000 11869119059200 12782128217600 12981848971000 14836398824000 15977660272000 16616766682880 20770958353600 21864166688000 22455090112000 23738238118400 25963697942000 29672797648000 31955320544000 33233533365760 41541916707200 43728333376000 51927395884000 59345595296000 63910641088000 83083833414400 103854791768000 118691190592000 166167666828800 207709583536000 415419167072000 830838334144000
- Sum of all divisors σ(n): 2769749884661760
- Sum of proper divisors (its aliquot sum) s(n): 1938911550517760
- 830838334144000 is an abundant number, because the sum of its proper divisors (1938911550517760) is greater than itself. Its abundance is 1108073216373760
Bases of 830838334144000
- Binary: 101111001110100100100111111100010110111110000000002
- Hexadecimal: 0x2F3A49FC5BE00
- Base-36: 86I9V0JEV4
Squares and roots of 830838334144000
- 830838334144000 squared (8308383341440002) is 690292337483176996212736000000
- 830838334144000 cubed (8308383341440003) is 573521335746890625158091375276457984000000000
-
The
square root of 830838334144000 is 28824266.4112029051 -
The
cube root of 830838334144000 is 94009.5936392193
Scales and comparisons
How big is 830838334144000?- 830,838,334,144,000 seconds is equal to 26,418,089 years, 3 weeks, 5 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 830,838,334,144,000 would take you about sixty-six million, forty-five thousand, two hundred twenty-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 830838334144000 cubic inches would be around 7834.1 feet tall.
Recreational maths with 830838334144000
- 830838334144000 backwards is 000441433838038
- The number of decimal digits it has is: 15
- The sum of 830838334144000's digits is 49
- More coming soon!
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Cite this page
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"Number 830838334144000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 830838334144000 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/830838334144000/
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The information we have on file for 830838334144000 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!
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