468655836223029120

Names of 468655836223029120

• Cardinal: 468655836223029120 can be written as Four hundred sixty-eight quadrillion, six hundred fifty-five trillion, eight hundred thirty-six billion, two hundred twenty-three million, twenty-nine thousand, one hundred twenty.

Scientific notation

• Scientific notation: 4.6865583622302912 × 10¹⁷

Factors of 468655836223029120

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 164524767

Divisors of 468655836223029120

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 64 72 74 80 90 96 111 120 128 144 148 160 180 185 192 222 240 288 296 320 333 360 370 384 444 480 555 576 592 640 666 720 740 888 960 1110 1152 1184 1332 1440 1480 1665 1776 1920 2220 2368 2664 2880 2960 3330 3552 4440 4736 5328 5760 5920 6660 7104 8880 10656 11840 13320 13367 14208 17760 21312 23680 26640 26734 35520 40101 42624 53280 53468 66835 71040 80202 106560 106936 120303 133670 160404 200505 213120 213872 240606 267340 320808 401010 427744 481212 494579 534680 601515 641616 802020 855488 962424 989158 1069360 1203030 1283232 1483737 1604040 1710976 1924848 1978316 2138720 2406060 2472895 2566464 2967474 3208080 3849696 3956632 4277440 4451211 4812120 4945790 5132928 5934948 6416160 7418685 7699392 7913264 8554880 8902422 9624240 9891580 11869896 12832320 14837370 15398784 15826528 17804844 19248480 19783160 22256055 23739792 25664640 29674740 31653056 35609688 38496960 39566320 44512110 47479584 59349480 63306112 71219376 76993920 79132640 89024220 94959168 118698960 142438752 158265280 164511353 178048440 189918336 237397920 284877504 316530560 329022706 356096880 474795840 493534059 569755008 658045412 712193760 822556765 949591680 987068118 1316090824 1424387520 1480602177 1645113530 1974136236 2467670295 2632181648 2848775040 2961204354 3290227060 3948272472 4935340590 5264363296 5922408708 6086920061 6580454120 7403010885 7896544944 9870681180 10528726592 11844817416 12173840122 13160908240 14806021770 15793089888 18260760183 19741362360 21057453184 23689634832 24347680244 26321816480 29612043540 30434600305 31586179776 36521520366 39482724720 47379269664 48695360488 52643632960 54782280549 59224087080 60869200610 63172359552 73043040732 78965449440 91303800915 94758539328 97390720976 105287265920 109564561098 118448174160 121738401220 146086081464 157930898880 182607601830 189517078656 194781441952 219129122196 236896348320 243476802440 273911402745 292172162928 315861797760 365215203660 389562883904 438258244392 473792696640 486953604880 547822805490 584344325856 730430407320 779125767808 876516488784 947585393280 973907209760 1095645610980 1168688651712 1460860814640 1753032977568 1947814419520 2191291221960 2199023255551 2337377303424 2921721629280 3506065955136 3895628839040 4382582443920 4398046511102 5843443258560 6597069766653 7012131910272 8765164887840 8796093022204 10995116277755 11686886517120 13194139533306 17530329775680 17592186044408 19791209299959 21990232555510 26388279066612 32985348833265 35060659551360 35184372088816 39582418599918 43980465111020 52776558133224 65970697666530 70368744177632 79164837199836 81363860455387 87960930222040 98956046499795 105553116266448 131941395333060 140737488355264 158329674399672 162727720910774 175921860444080 197912092999590 211106232532896 244091581366161 263882790666120 281474976710528 316659348799344 325455441821548 351843720888160 395824185999180 406819302276935 422212465065792 488183162732322 527765581332240 633318697598688 650910883643096 703687441776320 732274744098483 791648371998360 813638604553870 844424930131584 976366325464644 1055531162664480 1220457906830805 1266637395197376 1301821767286192 1407374883552640 1464549488196966 1583296743996720 1627277209107740 1952732650929288 2111062325328960 2440915813661610 2533274790394752 2603643534572384 2929098976393932 3166593487993440 3254554418215480 3661373720492415 3905465301858576 4222124650657920 4881831627323220 5207287069144768 5858197952787864 6333186975986880 6509108836430960 7322747440984830 7810930603717152 9763663254646440 10414574138289536 11716395905575728 12666373951973760 13018217672861920 14645494881969660 15621861207434304 19527326509292880 23432791811151456 26036435345723840 29290989763939320 31243722414868608 39054653018585760 46865583622302912 52072870691447680 58581979527878640 78109306037171520 93731167244605824 117163959055757280 156218612074343040 234327918111514560 468655836223029120
• Sum of all divisors σ(n): 1662190108085183040
• Sum of proper divisors (its aliquot sum) s(n): 1193534271862153920
• 468655836223029120 is an abundant number, because the sum of its proper divisors (1193534271862153920) is greater than itself. Its abundance is 724878435639124800

Bases of 468655836223029120

• Binary: 11010000000111111111111111111111111111111001011111110000000₂
• Hexadecimal: 0x680FFFFFFFCBF80
• Base-36: 3K6KMMY02XS0

Squares and roots of 468655836223029120

• 468655836223029120 squared (468655836223029120²) is 219638292825906693421630628367974400
• 468655836223029120 cubed (468655836223029120³) is 102934767790923839030774285656934426068554766614528000
• The square root of 468655836223029120 is 684584425.9278976031
• The cube root of 468655836223029120 is 776756.1072275079

Scales and comparisons

• 468,655,836,223,029,120 seconds is equal to 14,901,805,944 years, 10 weeks, 6 days, 11 hours, 12 minutes.
• To count from 1 to 468,655,836,223,029,120 would take you about forty-four billion, seven hundred five million, four hundred seventeen thousand, eight hundred thirty-two 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 468655836223029120 cubic inches would be around 64729.7 feet tall.

Recreational maths with 468655836223029120

• 468655836223029120 backwards is 021920322638556864
• 468655836223029120 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 468655836223029120's digits is 72
• More coming soon!