980314830144
980,314,830,144 is an even composite number composed of six prime numbers multiplied together.
What does the number 980314830144 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 784 divisors.
980314830144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred eighty-four divisors.
Prime factorization of 980314830144:
26 × 36 × 13 × 19 × 257 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 19 × 257 × 331)See below for interesting mathematical facts about the number 980314830144 from the Numbermatics database.
Names of 980314830144
- Cardinal: 980314830144 can be written as Nine hundred eighty billion, three hundred fourteen million, eight hundred thirty thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 9.80314830144 × 1011
Factors of 980314830144
Divisors of 980314830144
- Number of divisors d(n): 784
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 32 36 38 39 48 52 54 57 64 72 76 78 81 96 104 108 114 117 144 152 156 162 171 192 208 216 228 234 243 247 257 288 304 312 324 331 342 351 416 432 456 468 486 494 513 514 576 608 624 648 662 684 702 729 741 771 832 864 912 936 972 988 993 1026 1028 1053 1216 1248 1296 1324 1368 1404 1458 1482 1539 1542 1728 1824 1872 1944 1976 1986 2052 2056 2106 2223 2313 2496 2592 2648 2736 2808 2916 2964 2979 3078 3084 3159 3341 3648 3744 3888 3952 3972 4104 4112 4212 4303 4446 4617 4626 4883 5184 5296 5472 5616 5832 5928 5958 6156 6168 6289 6318 6669 6682 6939 7488 7776 7904 7944 8208 8224 8424 8606 8892 8937 9234 9252 9477 9766 10023 10592 10944 11232 11664 11856 11916 12312 12336 12578 12636 12909 13338 13364 13851 13878 14649 15552 15808 15888 16416 16448 16848 17212 17784 17874 18468 18504 18867 18954 19532 20007 20046 20817 21184 22464 23328 23712 23832 24624 24672 25156 25272 25818 26676 26728 26811 27702 27756 29298 30069 31776 32832 33696 34424 35568 35748 36936 37008 37734 37908 38727 39064 40014 40092 41634 43947 46656 47424 47664 49248 49344 50312 50544 51636 53352 53456 53622 55404 55512 56601 58596 60021 60138 62451 63479 63552 67392 68848 71136 71496 73872 74016 75468 75816 77454 78128 80028 80184 80433 81757 83268 85067 87894 90207 95328 98496 100624 101088 103272 106704 106912 107244 110808 111024 113202 116181 117192 120042 120276 124902 126958 131841 137696 142272 142992 147744 148032 150936 151632 154908 156256 160056 160368 160866 163514 166536 169803 170134 175788 180063 180414 187353 190437 190656 201248 202176 206544 213408 213824 214488 221616 222048 226404 232362 234384 240084 240552 241299 245271 249804 253916 255201 263682 270621 275392 285984 295488 301872 303264 309816 312512 320112 320736 321732 327028 333072 339606 340268 348543 351576 360126 360828 374706 380874 395523 402496 413088 426816 428976 443232 444096 452808 464724 468768 480168 481104 482598 490542 499608 507832 509409 510402 527364 541242 571311 571968 603744 606528 619632 640224 641472 643464 654056 666144 679212 680536 697086 703152 720252 721656 735813 749412 761748 765603 791046 811863 826176 857952 886464 905616 929448 937536 960336 962208 965196 981084 999216 1015664 1018818 1020804 1045629 1054728 1082484 1105871 1142622 1186569 1207488 1239264 1280448 1286928 1308112 1332288 1358424 1361072 1394172 1406304 1440504 1443312 1471626 1498824 1523496 1528227 1531206 1582092 1616273 1623726 1713933 1715904 1811232 1858896 1920672 1924416 1930392 1962168 1998432 2031328 2037636 2041608 2091258 2109456 2164968 2207439 2211742 2285244 2296809 2373138 2435589 2478528 2573856 2616224 2716848 2722144 2788344 2812608 2881008 2886624 2943252 2997648 3046992 3056454 3062412 3136887 3164184 3232546 3247452 3317613 3427866 3559707 3622464 3717792 3841344 3860784 3924336 3996864 4062656 4075272 4083216 4182516 4218912 4329936 4414878 4423484 4570488 4584681 4593618 4746276 4848819 4871178 5141799 5147712 5232448 5433696 5444288 5576688 5762016 5773248 5886504 5995296 6093984 6112908 6124824 6273774 6328368 6465092 6494904 6622317 6635226 6855732 6890427 7119414 7435584 7721568 7848672 8150544 8166432 8365032 8437824 8659872 8829756 8846968 9140976 9169362 9187236 9492552 9697638 9742356 9952839 10283598 10867392 11153376 11524032 11773008 11990592 12187968 12225816 12249648 12547548 12656736 12930184 12989808 13244634 13270452 13711464 13780854 14238828 14546457 15425397 15443136 15697344 16301088 16332864 16730064 17319744 17659512 17693936 18281952 18338724 18374472 18985104 19395276 19484712 19866951 19905678 20567196 20671281 21011549 22306752 23546016 24451632 24499296 25095096 25313472 25860368 25979616 26489268 26540904 27422928 27561708 28477656 29092914 29858517 30850794 32602176 33460128 35319024 35387872 36563904 36677448 36748944 37970208 38790552 38969424 39733902 39811356 41134392 41342562 42023098 43639371 46276191 47092032 48903264 48998592 50190192 51720736 51959232 52978536 53081808 54845856 55123416 56955312 58185828 59600853 59717034 61701588 62013843 63034647 66920256 70638048 70775744 73354896 73497888 75940416 77581104 77938848 79467804 79622712 82268784 82685124 84046196 87278742 89575551 92552382 97806528 100380384 103441472 105957072 106163616 109691712 110246832 113910624 116371656 119201706 119434068 123403176 124027686 126069294 130918113 141276096 146709792 146995776 155162208 155877696 158935608 159245424 164537568 165370248 168092392 174557484 179151102 185104764 189103941 200760768 211914144 212327232 220493664 227821248 232743312 238403412 238868136 246806352 248055372 252138588 261836226 268726653 293419584 310324416 317871216 318490848 329075136 330740496 336184784 349114968 358302204 370209528 378207882 392754339 423828288 440987328 465486624 476806824 477736272 493612704 496110744 504277176 523672452 537453306 567311823 635742432 636981696 661480992 672369568 698229936 716604408 740419056 756415764 785508678 806179959 930973248 953613648 955472544 987225408 992221488 1008554352 1047344904 1074906612 1134623646 1178263017 1271484864 1322961984 1344739136 1396459872 1433208816 1480838112 1512831528 1571017356 1612359918 1701935469 1907227296 1910945088 1984442976 2017108704 2094689808 2149813224 2269247292 2356526034 2792919744 2866417632 2961676224 3025663056 3142034712 3224719836 3403870938 3814454592 3968885952 4034217408 4189379616 4299626448 4538494584 4713052068 5105806407 5732835264 6051326112 6284069424 6449439672 6807741876 8378759232 8599252896 9076989168 9426104136 10211612814 12102652224 12568138848 12898879344 13615483752 15317419221 17198505792 18153978336 18852208272 20423225628 25136277696 25797758688 27230967504 30634838442 36307956672 37704416544 40846451256 51595517376 54461935008 61269676884 75408833088 81692902512 108923870016 122539353768 163385805024 245078707536 326771610048 490157415072 980314830144
- Sum of all divisors σ(n): 3329198604480
- Sum of proper divisors (its aliquot sum) s(n): 2348883774336
- 980314830144 is an abundant number, because the sum of its proper divisors (2348883774336) is greater than itself. Its abundance is 1368568944192
Bases of 980314830144
- Binary: 11100100001111110101000100110101010000002
- Hexadecimal: 0xE43F513540
- Base-36: CICM5000
Squares and roots of 980314830144
- 980314830144 squared (9803148301442) is 961017166200259571060736
- 980314830144 cubed (9803148301443) is 942099380049075679293115709747625984
-
The
square root of 980314830144 is 990108.4941277901 -
The
cube root of 980314830144 is 9933.9474336055
Scales and comparisons
How big is 980314830144?- 980,314,830,144 seconds is equal to 31,170 years, 50 weeks, 6 days, 11 hours, 2 minutes, 24 seconds.
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To count from 1 to 980,314,830,144 would take you about sixty-two thousand, three hundred forty-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 980314830144 cubic inches would be around 827.8 feet tall.
Recreational maths with 980314830144
- 980314830144 backwards is 441038413089
- The number of decimal digits it has is: 12
- The sum of 980314830144's digits is 45
- More coming soon!
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The information we have on file for 980314830144 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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