468861338617432800

Names of 468861338617432800

• Cardinal: 468861338617432800 can be written as Four hundred sixty-eight quadrillion, eight hundred sixty-one trillion, three hundred thirty-eight billion, six hundred seventeen million, four hundred thirty-two thousand, eight hundred.

Scientific notation

• Scientific notation: 4.688613386174328 × 10¹⁷

Factors of 468861338617432800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 2539734338

Divisors of 468861338617432800

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 61 65 75 78 80 96 97 100 104 120 122 130 150 156 160 183 194 195 200 208 240 244 260 291 300 305 312 325 366 388 390 400 416 480 485 488 520 582 600 610 624 650 732 776 780 793 800 915 970 975 976 1040 1164 1200 1220 1248 1261 1300 1455 1464 1525 1552 1560 1586 1830 1940 1950 1952 2080 2328 2379 2400 2425 2440 2522 2600 2910 2928 3050 3104 3120 3172 3660 3783 3880 3900 3965 4575 4656 4758 4850 4880 5044 5200 5820 5856 5917 6100 6240 6305 6344 7275 7320 7566 7760 7800 7930 9150 9312 9516 9700 9760 10088 10400 11640 11834 11895 12200 12610 12688 14550 14640 15132 15520 15600 15860 17751 18300 18915 19032 19400 19825 20176 23280 23668 23790 24400 25220 25376 29100 29280 29585 30264 31200 31525 31720 35502 36600 37830 38064 38800 39650 40352 46560 47336 47580 48800 50440 58200 59170 59475 60528 63050 63440 71004 73200 75660 76128 76921 77600 79300 88755 94575 94672 95160 100880 116400 118340 118950 121056 126100 126880 142008 146400 147925 151320 153842 158600 177510 189150 189344 190320 201760 230763 232800 236680 237900 252200 284016 295850 302640 307684 317200 355020 378300 380640 384605 443775 461526 473360 475800 504400 568032 591700 605280 615368 634400 710040 756600 769210 887550 923052 946720 951600 1008800 1153815 1183400 1230736 1420080 1513200 1538420 1775100 1846104 1903200 1923025 2307630 2366800 2461472 2840160 3026400 3076840 3550200 3692208 3846050 4615260 4733600 5769075 6153680 7100400 7384416 7692100 9230520 11538150 12307360 14200800 15384200 18461040 23076300 30768400 36922080 46152600 61536800 92305200 184610400 2539734157 5079468314 7619202471 10158936628 12698670785 15238404942 20317873256 25397341570 30476809884 33016544041 38096012355 40635746512 50794683140 60953619768 63493353925 66033088082 76192024710 81271493024 99049632123 101589366280 121907239536 126986707850 132066176164 152384049420 154923783577 165082720205 190480061775 198099264246 203178732560 243814479072 246354213229 253973415700 264132352328 304768098840 309847567154 330165440410 380960123550 396198528492 406357465120 464771350731 492708426458 495248160615 507946831400 528264704656 609536197680 619695134308 660330880820 739062639687 761920247100 774618917885 792397056984 825413601025 929542701462 985416852916 990496321230 1015893662800 1056529409312 1219072395360 1231771066145 1239390268616 1320661761640 1478125279374 1523840494200 1549237835770 1584794113968 1650827202050 1859085402924 1970833705832 1980992642460 2014009186501 2031787325600 2323856753655 2463542132290 2476240803075 2478780537232 2641323523280 2956250558748 3047680988400 3098475671540 3169588227936 3202604771977 3301654404100 3695313198435 3718170805848 3873094589425 3941667411664 3961985284920 4028018373002 4647713507310 4927084264580 4952481606150 4957561074464 5282647046560 5912501117496 6042027559503 6095361976800 6158855330725 6196951343080 6405209543954 6603308808200 7390626396870 7436341611696 7746189178850 7883334823328 7923970569840 8056036746004 9295427014620 9607814315931 9854168529160 9904963212300 10070045932505 11619283768275 11825002234992 12084055119006 12317710661450 12393902686160 12810419087908 13206617616400 14781252793740 14872683223392 15027607006969 15492378357700 15847941139680 16013023859885 16112073492008 18476565992175 18590854029240 19215628631862 19708337058320 19809926424600 20140091865010 23238567536550 23650004469984 24168110238012 24635421322900 24787805372320 25620838175816 26413235232800 29562505587480 30055214013938 30210137797515 30984756715400 32026047719770 32224146984016 36953131984350 37181708058480 38431257263724 39416674116640 39619852849200 40280183730020 45082821020907 46477135073100 48039071579655 48336220476024 49270842645800 50350229662525 51241676351632 59125011174960 60110428027876 60420275595030 61969513430800 64052095439540 64448293968032 73906263968700 74363416116960 75138035034845 76862514527448 79239705698400 80065119299425 80560367460040 90165642041814 92954270146200 96078143159310 96672440952048 98541685291600 100700459325050 102483352703264 118250022349920 120220856055752 120840551190060 123939026861600 128104190879080 147812527937400 150276070069690 151050688987575 153725029054896 160130238598850 161120734920080 180331284083628 185908540292400 192156286318620 193344881904096 195358891090597 197083370583200 201400918650100 225414105104535 240195357898275 240441712111504 241681102380120 256208381758160 295625055874800 300552140139380 302101377975150 307450058109792 320260477197700 322241469840160 360662568167256 371817080584800 375690175174225 384312572637240 390717782181194 402801837300200 450828210209070 480390715796550 480883424223008 483362204760240 512416763516320 586076673271791 591250111749600 601104280278760 604202755950300 640520954395400 721325136334512 751380350348450 768625145274480 781435564362388 805603674600400 901656420418140 960781431593100 966724409520480 976794455452985 1127070525522675 1172153346543582 1202208560557520 1208405511900600 1281041908790800 1442650272669024 1502760700696900 1537250290548960 1562871128724776 1611207349200800 1803312840836280 1921562863186200 1953588910905970 2254141051045350 2344306693087164 2404417121115040 2416811023801200 2562083817581600 2930383366358955 3005521401393800 3125742257449552 3606625681672560 3843125726372400 3907177821811940 4508282102090700 4688613386174328 4833622047602400 4883972277264925 5860766732717910 6011042802787600 6251484514899104 7213251363345120 7686251452744800 7814355643623880 9016564204181400 9377226772348656 9767944554529850 11721533465435820 12022085605575200 14651916831794775 15628711287247760 18033128408362800 18754453544697312 19535889109059700 23443066930871640 29303833663589550 31257422574495520 36066256816725600 39071778218119400 46886133861743280 58607667327179100 78143556436238800 93772267723486560 117215334654358200 156287112872477600 234430669308716400 468861338617432800
• Sum of all divisors σ(n): 1687704061402666944
• Sum of proper divisors (its aliquot sum) s(n): 1218842722785234144
• 468861338617432800 is an abundant number, because the sum of its proper divisors (1218842722785234144) is greater than itself. Its abundance is 749981384167801344

Bases of 468861338617432800

• Binary: 11010000001101110101110011101000001001101001100101011100000₂
• Hexadecimal: 0x681BAE74134CAE0
• Base-36: 3K8LH1FVSMAO

Squares and roots of 468861338617432800

• 468861338617432800 squared (468861338617432800²) is 219830954850130981847396062515840000
• 468861338617432800 cubed (468861338617432800³) is 103070235760580843604013782175895312182050135552000000
• The square root of 468861338617432800 is 684734502.2835002433
• The cube root of 468861338617432800 is 776869.6247256533

Scales and comparisons

• 468,861,338,617,432,800 seconds is equal to 14,908,340,284 years, 35 weeks, 6 days, 16 hours, 40 minutes.
• To count from 1 to 468,861,338,617,432,800 would take you about forty-four billion, seven hundred twenty-five million, twenty thousand, eight hundred fifty-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 468861338617432800 cubic inches would be around 64739.1 feet tall.

Recreational maths with 468861338617432800

• 468861338617432800 backwards is 008234716833168864
• 468861338617432800 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 468861338617432800's digits is 78
• More coming soon!