468642579960640
468,642,579,960,640 is an even composite number composed of five prime numbers multiplied together.
468642579960640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred twenty divisors.
Prime factorization of 468642579960640:
26 × 5 × 17 × 294 × 3492
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 17 × 29 × 29 × 29 × 29 × 349 × 349)See below for interesting mathematical facts about the number 468642579960640 from the Numbermatics database.
Names of 468642579960640
- Cardinal: 468642579960640 can be written as Four hundred sixty-eight trillion, six hundred forty-two billion, five hundred seventy-nine million, nine hundred sixty thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.6864257996064 × 1014
Factors of 468642579960640
Divisors of 468642579960640
- Number of divisors d(n): 420
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 29 32 34 40 58 64 68 80 85 116 136 145 160 170 232 272 290 320 340 349 464 493 544 580 680 698 841 928 986 1088 1160 1360 1396 1682 1745 1856 1972 2320 2465 2720 2792 3364 3490 3944 4205 4640 4930 5440 5584 5933 6728 6980 7888 8410 9280 9860 10121 11168 11866 13456 13960 14297 15776 16820 19720 20242 22336 23732 24389 26912 27920 28594 29665 31552 33640 39440 40484 47464 48778 50605 53824 55840 57188 59330 67280 71485 78880 80968 94928 97556 101210 111680 114376 118660 121801 121945 134560 142970 157760 161936 172057 189856 195112 202420 228752 237320 243602 243890 269120 285940 293509 323872 344114 379712 390224 404840 414613 457504 474640 487204 487780 571880 587018 609005 647744 688228 707281 780448 809680 829226 860285 915008 949280 974408 975560 1143760 1174036 1218010 1376456 1414562 1467545 1560896 1619360 1658452 1720570 1898560 1948816 1951120 2070617 2073065 2287520 2348072 2436020 2752912 2829124 2935090 3238720 3316904 3441140 3532229 3536405 3897632 3902240 4141234 4146130 4575040 4696144 4872040 4989653 5505824 5658248 5870180 6633808 6882280 7064458 7072810 7795264 7804480 8282468 8292260 8511761 9392288 9744080 9979306 10353085 11011648 11316496 11740360 12023777 13267616 13764560 14128916 14145620 16564936 16584520 17023522 17661145 18784576 19488160 19958612 20706170 22632992 23480720 24047554 24948265 26535232 27529120 28257832 28291240 33129872 33169040 34047044 35322290 38976320 39917224 41412340 42558805 45265984 46961440 48095108 49896530 55058240 56515664 56582480 60047893 60118885 66259744 66338080 68094088 70644580 79834448 82824680 85117610 93922880 96190216 99793060 102434641 113031328 113164960 120095786 120237770 132519488 132676160 136188176 141289160 144699937 159668896 165649360 170235220 192380432 199586120 204869282 226062656 226329920 240191572 240475540 246841069 272376352 282578320 289399874 300239465 319337792 331298720 340470440 384760864 399172240 409738564 480383144 480951080 493682138 512173205 544752704 565156640 578799748 600478930 662597440 680940880 723499685 769521728 798344480 819477128 960766288 961902160 987364276 1024346410 1130313280 1157599496 1200957860 1234205345 1361881760 1446999370 1596688960 1638954256 1741388897 1921532576 1923804320 1974728552 2048692820 2315198992 2401915720 2468410690 2723763520 2893998740 2970604589 3277908512 3482777794 3843065152 3847608640 3949457104 4097385640 4196298173 4630397984 4803831440 4936821380 5787997480 5941209178 6555817024 6965555588 7898914208 8194771280 8392596346 8706944485 9260795968 9607662880 9873642760 11575994960 11882418356 13931111176 14853022945 15797828416 16389542560 16785192692 17413888970 19215325760 19747285520 20981490865 23151989920 23764836712 27862222352 29706045890 32779085120 33570385384 34827777940 39494571040 41962981730 46303979840 47529673424 50500278013 55724444704 59412091780 67140770768 69655555880 78989142080 83925963460 86147533081 95059346848 101000556026 111448889408 118824183560 134281541536 139311111760 167851926920 172295066162 190118693696 202001112052 237648367120 252501390065 268563083072 278622223520 335703853840 344590132324 404002224104 430737665405 475296734240 505002780130 557244447040 671407707680 689180264648 808004448208 861475330810 950593468480 1010005560260 1342815415360 1378360529296 1464508062377 1616008896416 1722950661620 2020011120520 2756721058592 2929016124754 3232017792832 3445901323240 4040022241040 5513442117184 5858032249508 6891802646480 7322540311885 8080044482080 11716064499016 13783605292960 14645080623770 16160088964160 23432128998032 27567210585920 29290161247540 46864257996064 58580322495080 93728515992128 117160644990160 234321289980320 468642579960640
- Sum of all divisors σ(n): 1227316124817756
- Sum of proper divisors (its aliquot sum) s(n): 758673544857116
- 468642579960640 is an abundant number, because the sum of its proper divisors (758673544857116) is greater than itself. Its abundance is 290030964896476
Bases of 468642579960640
- Binary: 11010101000111010010110101000000101010011010000002
- Hexadecimal: 0x1AA3A5A815340
- Base-36: 4M4BFG45Z4
Squares and roots of 468642579960640
- 468642579960640 squared (4686425799606402) is 219625867752164856103949209600
- 468642579960640 cubed (4686425799606403) is 102926033289468864595158297039653327110144000
-
The
square root of 468642579960640 is 21648154.1929246245 -
The
cube root of 468642579960640 is 77674.8783459503
Scales and comparisons
How big is 468642579960640?- 468,642,579,960,640 seconds is equal to 14,901,384 years, 22 weeks, 4 days, 17 hours, 30 minutes, 40 seconds.
-
To count from 1 to 468,642,579,960,640 would take you about thirty-seven million, two hundred fifty-three thousand, four hundred sixty-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 468642579960640 cubic inches would be around 6472.9 feet tall.
Recreational maths with 468642579960640
- 468642579960640 backwards is 046069975246864
- The number of decimal digits it has is: 15
- The sum of 468642579960640's digits is 76
- More coming soon!
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