4680345967920
4,680,345,967,920 is an even composite number composed of seven prime numbers multiplied together.
What does the number 4680345967920 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
4680345967920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 4680345967920:
24 × 33 × 5 × 7 × 972 × 167 × 197
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 97 × 97 × 167 × 197)See below for interesting mathematical facts about the number 4680345967920 from the Numbermatics database.
Names of 4680345967920
- Cardinal: 4680345967920 can be written as Four trillion, six hundred eighty billion, three hundred forty-five million, nine hundred sixty-seven thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.68034596792 × 1012
Factors of 4680345967920
Divisors of 4680345967920
- Number of divisors d(n): 960
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 97 105 108 112 120 126 135 140 144 167 168 180 189 194 197 210 216 240 252 270 280 291 315 334 336 360 378 388 394 420 432 485 501 504 540 560 582 591 630 668 679 720 756 776 788 835 840 873 945 970 985 1002 1008 1080 1164 1169 1182 1260 1336 1358 1379 1455 1503 1512 1552 1576 1670 1680 1746 1773 1890 1940 1970 2004 2037 2160 2328 2338 2364 2505 2520 2619 2672 2716 2758 2910 2955 3006 3024 3152 3340 3395 3492 3507 3546 3780 3880 3940 4008 4074 4137 4365 4509 4656 4676 4728 5010 5040 5238 5319 5432 5516 5820 5845 5910 6012 6111 6680 6790 6895 6984 7014 7092 7515 7560 7760 7880 8016 8148 8274 8730 8865 9018 9352 9409 9456 10020 10185 10476 10521 10638 10864 11032 11640 11690 11820 12024 12222 12411 13095 13360 13580 13790 13968 14028 14184 15030 15120 15760 16199 16296 16548 17460 17535 17730 18036 18333 18704 18818 19109 20040 20370 20685 20952 21042 21276 22064 22545 23280 23380 23640 24048 24444 24822 26190 26595 27160 27580 28056 28227 28368 30060 30555 31563 32398 32592 32899 33096 34920 35070 35460 36072 36666 37233 37636 38218 40080 40740 41370 41904 42084 42552 45090 46760 47045 47280 48597 48888 49644 52380 52605 53190 54320 55160 56112 56454 57327 60120 61110 62055 63126 64796 65798 65863 66192 69840 70140 70920 72144 73332 74466 75272 76436 80995 81480 82740 84168 84681 85104 90180 91665 93520 94090 95545 97194 97776 98697 99288 104760 105210 106380 110320 112908 113393 114654 120240 122220 124110 126252 129592 131596 131726 133763 140280 141135 141840 145791 146664 148932 150544 152872 157815 161990 162960 164495 165480 168336 169362 171981 180360 183330 186165 188180 191090 194388 197394 197589 198576 209520 210420 212760 225816 226786 229308 230293 242985 244440 248220 252504 254043 259184 263192 263452 267526 280560 282270 286635 291582 293328 296091 297864 305744 315630 323980 328990 329315 330960 338724 340179 343962 360720 366660 372330 376360 382180 388776 394788 395178 401289 420840 423405 425520 437373 451632 453572 458616 460586 485970 488880 493485 496440 505008 508086 515943 526384 526904 535052 564540 566965 573270 583164 592182 592767 595728 631260 647960 657980 658630 668815 677448 680358 687924 690879 728955 733320 744660 752720 764360 777552 789576 790356 802578 841680 846810 859905 874746 888273 907144 917232 921172 971940 986970 987945 992880 1016172 1020537 1031886 1053808 1070104 1129080 1133930 1146540 1151465 1166328 1184364 1185534 1203867 1262520 1270215 1295920 1315960 1317260 1337630 1354896 1360716 1375848 1381758 1457910 1466640 1480455 1489320 1528720 1571303 1579152 1580712 1605156 1693620 1700895 1719810 1749492 1776546 1778301 1814288 1842344 1853573 1943880 1973940 1975890 2006445 2032344 2041074 2063772 2072637 2140208 2186865 2258160 2267860 2293080 2302930 2332656 2368728 2371068 2407734 2525040 2540430 2579715 2631920 2634520 2675260 2721432 2751696 2763516 2915820 2960910 2963835 2978640 3061611 3142606 3161424 3191203 3210312 3387240 3401790 3439620 3454395 3498984 3553092 3556602 3611601 3684688 3707146 3887760 3947880 3951780 4012890 4064688 4082148 4127544 4145274 4373730 4441365 4535720 4586160 4605860 4713909 4737456 4742136 4815468 5080860 5102685 5159430 5269040 5350520 5442864 5527032 5560719 5831640 5921820 5927670 6019335 6123222 6217911 6285212 6382406 6420624 6774480 6803580 6879240 6908790 6997968 7106184 7113204 7223202 7414292 7856515 7895760 7903560 8025780 8164296 8255088 8290548 8747460 8882730 8891505 9071440 9211720 9267865 9427818 9484272 9573609 9630936 10161720 10205370 10318860 10363185 10701040 10999121 11054064 11121438 11663280 11843640 11855340 12038670 12246444 12435822 12570424 12764812 12975011 13607160 13758480 13817580 14141727 14212368 14226408 14446404 14828584 15308055 15713030 15807120 15956015 16051560 16328592 16581096 16682157 17494920 17765460 17783010 18058005 18423440 18535730 18855636 19147218 19261872 20323440 20410740 20637720 20726370 21998242 22242876 22338421 23569545 23687280 23710680 24077340 24492888 24871644 25140848 25529624 25950022 27214320 27635160 27803595 28283454 28452816 28720827 28892808 29657168 30616110 31089555 31426060 31912030 32103120 32997363 33162192 33364314 34989840 35530920 35566020 36116010 37071460 37711272 38294436 38925033 40821480 41275440 41452740 42425181 43996484 44485752 44676842 47139090 47421360 47868045 48154680 48985776 49743288 50046471 51059248 51900044 54995605 55270320 55607190 56566908 57441654 57785616 61232220 62179110 62852120 63824060 64875055 65994726 66728628 67015263 70708635 71061840 71132040 72232020 74142920 75422544 76588872 77850066 81642960 82905480 83410785 84850362 86162481 87992968 88971504 89353684 94278180 95736090 96309360 98992089 99486576 100092942 103800088 109991210 111214380 111692105 113133816 114883308 116775099 122464440 124358220 125704240 127648120 129750110 131989452 133457256 134030526 141417270 142264080 143604135 144464040 148285840 153177744 155700132 164986815 165810960 166821570 169700724 172324962 175985936 178707368 188556360 191472180 194625165 197984178 200185884 201045789 207600176 212125905 219982420 222428760 223384210 226267632 229766616 233550198 244928880 248716440 250232355 255296240 259500220 263978904 266914512 268061052 282834540 287208270 288928080 296976267 309546691 311400264 329973630 333643140 335076315 339401448 344649924 350325297 357414736 377112720 382944360 389250330 395968356 400371768 402091578 424251810 430812405 439964840 444857520 446768420 459533232 467100396 494960445 497432880 500464710 519000440 527957808 536122104 565669080 574416540 583875495 593952534 603137367 619093382 622800528 659947260 667286280 670152630 678802896 689299848 700650594 765888720 778500660 791936712 800743536 804183156 848503620 861624810 879929680 893536840 928640073 934200792 989920890 1000929420 1005228945 1038000880 1072244208 1131338160 1148833080 1167750990 1187905068 1206274734 1238186764 1319894520 1334572560 1340305260 1378599696 1401301188 1484881335 1547733455 1557001320 1583873424 1608366312 1697007240 1723249620 1751626485 1787073680 1857280146 1868401584 1979841780 2001858840 2010457890 2166826837 2297666160 2335501980 2375810136 2412549468 2476373528 2639789040 2680610520 2785920219 2802602376 2969762670 3015686835 3095466910 3114002640 3216732624 3394014480 3446499240 3503252970 3714560292 3959683560 4003717680 4020915780 4333653674 4643200365 4671003960 4751620272 4825098936 4952747056 5361221040 5571840438 5605204752 5939525340 6031373670 6190933820 6500480511 6892998480 7006505940 7429120584 7919367120 8041831560 8357760657 8667307348 9286400730 9342007920 9650197872 10834134185 11143680876 11879050680 12062747340 12381867640 13000961022 13929601095 14013011880 14858241168 16083663120 16715521314 17334614696 18572801460 19501441533 21668268370 22287361752 23758101360 24125494680 24763735280 26001922044 27859202190 28026023760 32502402555 33431042628 34669229392 37145602920 39002883066 41788803285 43336536740 44574723504 48250989360 52003844088 55718404380 58504324599 65004805110 66862085256 74291205840 78005766132 83577606570 86673073480 97507207665 104007688176 111436808760 117008649198 130009610220 133724170512 156011532264 167155213140 173346146960 195014415330 222873617520 234017298396 260019220440 292521622995 312023064528 334310426280 390028830660 468034596792 520038440880 585043245990 668620852560 780057661320 936069193584 1170086491980 1560115322640 2340172983960 4680345967920
- Sum of all divisors σ(n): 18822655272960
- Sum of proper divisors (its aliquot sum) s(n): 14142309305040
- 4680345967920 is an abundant number, because the sum of its proper divisors (14142309305040) is greater than itself. Its abundance is 9461963337120
Bases of 4680345967920
- Binary: 10001000001101110100101101111011101001100002
- Hexadecimal: 0x441BA5BDD30
- Base-36: 1NQ4D59O0
Squares and roots of 4680345967920
- 4680345967920 squared (46803459679202) is 21905638379425001669126400
- 4680345967920 cubed (46803459679203) is 102525966263855409650135016188825088000
-
The
square root of 4680345967920 is 2163410.7256644541 -
The
cube root of 4680345967920 is 16727.3053818223
Scales and comparisons
How big is 4680345967920?- 4,680,345,967,920 seconds is equal to 148,820 years, 27 weeks, 1 day, 22 hours, 12 minutes.
-
To count from 1 to 4,680,345,967,920 would take you about three hundred seventy-two thousand and fifty-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 4680345967920 cubic inches would be around 1393.9 feet tall.
Recreational maths with 4680345967920
- 4680345967920 backwards is 0297695430864
- 4680345967920 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 4680345967920's digits is 63
- More coming soon!
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The information we have on file for 4680345967920 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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