830742117990400
830,742,117,990,400 is an even composite number composed of eight prime numbers multiplied together.
What does the number 830742117990400 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2880 divisors.
830742117990400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 830742117990400:
214 × 52 × 7 × 11 × 17 × 31 × 151 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 17 × 31 × 151 × 331)See below for interesting mathematical facts about the number 830742117990400 from the Numbermatics database.
Names of 830742117990400
- Cardinal: 830742117990400 can be written as Eight hundred thirty trillion, seven hundred forty-two billion, one hundred seventeen million, nine hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 8.307421179904 × 1014
Factors of 830742117990400
Divisors of 830742117990400
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 17 20 22 25 28 31 32 34 35 40 44 50 55 56 62 64 68 70 77 80 85 88 100 110 112 119 124 128 136 140 151 154 155 160 170 175 176 187 200 217 220 224 238 248 256 272 275 280 302 308 310 320 331 340 341 350 352 374 385 400 425 434 440 448 476 496 512 527 544 550 560 595 604 616 620 640 662 680 682 700 704 748 755 770 775 800 850 868 880 896 935 952 992 1024 1054 1057 1085 1088 1100 1120 1190 1208 1232 1240 1280 1309 1324 1360 1364 1400 1408 1496 1510 1540 1550 1600 1655 1661 1700 1705 1736 1760 1792 1870 1904 1925 1984 2048 2108 2114 2170 2176 2200 2240 2317 2380 2387 2416 2464 2480 2560 2567 2618 2635 2648 2720 2728 2800 2816 2975 2992 3020 3080 3100 3200 3310 3322 3400 3410 3472 3520 3584 3641 3689 3740 3775 3808 3850 3968 4096 4216 4228 4340 4352 4400 4480 4634 4675 4681 4760 4774 4832 4928 4960 5120 5134 5236 5270 5285 5296 5425 5440 5456 5600 5627 5632 5797 5950 5984 6040 6160 6200 6400 6545 6620 6644 6800 6820 6944 7040 7168 7282 7378 7480 7550 7616 7700 7936 8192 8275 8305 8432 8456 8525 8680 8704 8800 8960 9268 9350 9362 9520 9548 9664 9856 9920 10240 10261 10268 10472 10540 10570 10592 10850 10880 10912 11200 11254 11264 11585 11594 11627 11900 11935 11968 12080 12320 12400 12800 12835 13090 13175 13240 13288 13600 13640 13888 14080 14336 14564 14756 14960 15100 15232 15400 15872 16384 16550 16610 16864 16912 17050 17360 17408 17600 17920 17969 18205 18445 18536 18700 18724 19040 19096 19328 19712 19840 20480 20522 20536 20944 21080 21140 21184 21700 21760 21824 22400 22508 22528 23170 23188 23254 23405 23800 23870 23936 24160 24640 24800 25487 25600 25670 26180 26350 26425 26480 26576 27200 27280 27776 28135 28160 28237 28672 28985 29128 29512 29920 30200 30464 30800 31744 32725 32767 33100 33220 33728 33824 34100 34720 34816 35200 35840 35938 36410 36890 37072 37400 37448 38080 38192 38656 39389 39424 39680 40579 40960 41044 41072 41525 41888 42160 42280 42368 43400 43520 43648 44800 45016 45056 46340 46376 46508 46810 47600 47740 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21751731200 21815706880 22183884800 22212356096 22408883200 22519439360 22816317440 23115980800 23179188560 23600628352 23860929400 23926904320 24361938944 24560729600 24630636800 25007288320 25097949184 25353011200 25385549824 26170051600 26972146688 27269633600 27508017152 27765445120 28149299200 28520396800 28661104640 28973985700 29420339200 29500785440 29526999040 29908630400 30452423680 30541989632 31259110400 31372436480 31437733888 31527215104 31731937280 32362373120 32450863984 32594739200 33497666048 33715183360 34385021440 34706806400 34802769920 34905131008 35494215680 35724697600 35826380800 35854213120 36875981800 36908748800 37086701696 38065529600 38177487040 38283046912 39215545600 39297167360 39409018880 39664921600 40452966400 40480563200 40563579980 41872082560 42143979200 42981276800 43503462400 43631413760 44367769600 44424712192 44817766400 45038878720 45632634880 46231961600 46358377120 47201256704 47721858800 47853808640 48723877888 49121459200 49261273600 50014576640 50195898368 50704474975 52340103200 53944293376 54539267200 55016034304 55530890240 56298598400 57040793600 57947971400 59001570880 59817260800 60904847360 61083979264 62518220800 62744872960 63054430208 63463874560 64724746240 64901727968 66995332096 67430366720 68770042880 69413612800 69605539840 69810262016 71449395200 71652761600 71708426240 73751963600 73817497600 74173403392 76131059200 76354974080 76566093824 78431091200 78594334720 78818037760 79329843200 80905932800 80961126400 81127159960 83744165120 84287958400 85962553600 87006924800 87262827520 88735539200 88849424384 89635532800 92716754240 94402513408 95443717600 95707617280 97447755776 98242918400 98522547200 100029153280 100391796736 101408949950 104680206400 107888586752 109078534400 110032068608 111061780480 112597196800 114081587200 115895942800 118003141760 119634521600 121809694720 122167958528 125036441600 125489745920 126927749120 129803455936 133990664192 134860733440 137540085760 138827225600 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478538086400 487238778880 488671834112 500145766400 501958983680 519213823744 535962656768 539442933760 550160343040 555308902400 590015708800 593387227136 609048473600 610839792640 627448729600 634638745600 649017279680 669953320960 674303667200 687700428800 698102620160 741734033920 755220107264 763549740800 765660938240 785943347200 788180377600 811271599600 837441651200 872628275200 888494243840 927167542400 944025134080 957076172800 977343668224 1038427647488 1071925313536 1078885867520 1100320686080 1110617804800 1180031417600 1186774454272 1218096947200 1221679585280 1254897459200 1298034559360 1339906641920 1348607334400 1375400857600 1396205240320 1483468067840 1510440214528 1527099481600 1576360755200 1622543199200 1674883302400 1745256550400 1854335084800 1888050268160 1914152345600 1954687336448 2076855294976 2157771735040 2221235609600 2360062835200 2373548908544 2436193894400 2443359170560 2509794918400 2596069118720 2679813283840 2697214668800 2750801715200 2966936135680 3020880429056 3054198963200 3245086398400 3349766604800 3490513100800 3708670169600 3776100536320 3828304691200 4153710589952 4442471219200 4720125670400 4747097817088 4886718341120 5192138237440 5359626567680 5394429337600 5501603430400 5933872271360 6108397926400 6490172796800 6699533209600 6981026201600 7417340339200 7552201072640 8307421179904 9440251340800 9773436682240 10384276474880 10788858675200 11867744542720 12216795852800 12980345593600 13399066419200 14834680678400 15104402145280 16614842359808 18880502681600 20768552949760 23735489085440 24433591705600 25960691187200 26798132838400 29669361356800 33229684719616 37761005363200 41537105899520 48867183411200 51921382374400 59338722713600 75522010726400 83074211799040 103842764748800 118677445427200 166148423598080 207685529497600 415371058995200 830742117990400
- Sum of all divisors σ(n): 2834482389516288
- Sum of proper divisors (its aliquot sum) s(n): 2003740271525888
- 830742117990400 is an abundant number, because the sum of its proper divisors (2003740271525888) is greater than itself. Its abundance is 1172998153535488
Bases of 830742117990400
- Binary: 101111001110001110001110001101011111000000000000002
- Hexadecimal: 0x2F38E38D7C000
- Base-36: 86H1NRXBLS
Squares and roots of 830742117990400
- 830742117990400 squared (8307421179904002) is 690132466603175675334492160000
- 830742117990400 cubed (8307421179904003) is 573322106999861154374065888969583755264000000
-
The
square root of 830742117990400 is 28822597.3498295257 -
The
cube root of 830742117990400 is 94005.9645374165
Scales and comparisons
How big is 830742117990400?- 830,742,117,990,400 seconds is equal to 26,415,029 years, 36 weeks, 2 days, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 830,742,117,990,400 would take you about sixty-six million, thirty-seven thousand, five hundred seventy-four 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 830742117990400 cubic inches would be around 7833.8 feet tall.
Recreational maths with 830742117990400
- 830742117990400 backwards is 004099711247038
- 830742117990400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 830742117990400's digits is 55
- More coming soon!
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Cite this page
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"Number 830742117990400 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 830742117990400 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/830742117990400/
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The information we have on file for 830742117990400 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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