468481824720

Names of 468481824720

• Cardinal: 468481824720 can be written as Four hundred sixty-eight billion, four hundred eighty-one million, eight hundred twenty-four thousand, seven hundred twenty.

Scientific notation

• Scientific notation: 4.6848182472 × 10¹¹

Factors of 468481824720

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 3259

Divisors of 468481824720

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 29 30 35 36 39 40 42 45 48 52 56 58 60 63 65 70 72 78 79 80 84 87 90 91 104 105 112 116 117 120 126 130 140 144 145 156 158 168 174 180 182 195 203 208 210 232 234 237 240 252 260 261 273 280 290 312 315 316 336 348 360 364 377 390 395 406 420 435 455 464 468 474 504 520 522 546 553 560 580 585 609 624 630 632 696 711 720 728 754 780 790 812 819 840 870 910 936 948 1008 1015 1027 1040 1044 1092 1106 1131 1160 1170 1185 1218 1260 1264 1305 1365 1392 1422 1456 1508 1560 1580 1624 1638 1659 1680 1740 1820 1827 1872 1885 1896 2030 2054 2088 2184 2212 2262 2291 2320 2340 2370 2436 2520 2610 2639 2730 2765 2844 3016 3045 3081 3120 3121 3160 3248 3276 3318 3393 3480 3555 3640 3654 3770 3792 4060 4095 4108 4176 4368 4424 4524 4582 4680 4740 4872 4977 5040 5135 5220 5278 5460 5530 5655 5688 6032 6090 6162 6242 6320 6552 6636 6786 6873 6960 7110 7189 7280 7308 7540 7917 8120 8190 8216 8295 8848 9048 9135 9164 9243 9360 9363 9480 9744 9954 10270 10440 10556 10920 11060 11310 11376 11455 12180 12324 12484 13104 13195 13272 13572 13746 14220 14378 14616 15080 15405 15605 15834 16037 16240 16380 16432 16590 16965 18096 18270 18328 18486 18726 18960 19908 20540 20619 20880 21112 21567 21840 21847 22120 22620 22910 23751 24360 24648 24885 24968 26390 26544 27144 27492 28089 28440 28756 29232 29783 30160 30810 31210 31668 32074 32760 33180 33930 34365 35945 36540 36656 36972 37452 39585 39816 40573 41080 41238 42224 43134 43694 44240 45240 45820 46215 46815 47502 48111 48720 49296 49770 49936 52780 54288 54984 56178 56880 57512 59566 61620 62420 63336 64148 64701 65520 65541 66360 67860 68730 71890 73080 73944 74904 79170 79632 80185 81146 82160 82476 86268 87388 89349 90480 90509 91640 92430 93630 95004 96222 99540 103095 105560 107835 109235 109968 112356 115024 118755 119132 121719 123240 124840 126672 128296 129402 131082 132720 135720 137460 140445 143780 144333 146160 147888 148915 149808 158340 160370 162292 164952 172536 174776 178698 181018 183280 184860 187260 190008 192444 196623 199080 202865 206190 208481 211120 215670 218470 224712 237510 238264 240555 243438 246480 246559 249680 256592 258804 262164 268047 271440 271527 274920 280890 284011 287560 288666 297830 316680 320740 323505 324584 327705 329904 345072 349552 357396 362036 365157 369720 374520 380016 384888 393246 398160 405730 412380 416962 431340 436940 446745 449424 452545 475020 476528 481110 486876 493118 517608 524328 536094 543054 549840 561780 568022 575120 577332 595660 608595 625443 633360 633563 641480 647010 649168 655410 714792 721665 724072 730314 739440 739677 749040 769776 786492 811460 814581 824760 833924 852033 862680 873880 893490 905090 950040 962220 973752 983115 986236 1035216 1042405 1048656 1072188 1086108 1123560 1136044 1154664 1176617 1191320 1217190 1232795 1250886 1267126 1282960 1294020 1310820 1340235 1357635 1420055 1429584 1443330 1448144 1460628 1479354 1572984 1622920 1629162 1649520 1667848 1704066 1725360 1725913 1747760 1786980 1810180 1825785 1876329 1900080 1900689 1924440 1947504 1966230 1972472 2084810 2144376 2172216 2219031 2247120 2272088 2309328 2353234 2382640 2434380 2465590 2501772 2534252 2556099 2588040 2621640 2680470 2715270 2840110 2886660 2921256 2958708 3127215 3145968 3167815 3205267 3245840 3258324 3335696 3408132 3451826 3529851 3573960 3620360 3651570 3698385 3752658 3801378 3848880 3932460 3944944 4072905 4169620 4260165 4288752 4344432 4438062 4544176 4706468 4868760 4931180 5003544 5068504 5112198 5176080 5177739 5243280 5360940 5430540 5680220 5702067 5773320 5842512 5883085 5917416 6254430 6335630 6410534 6516648 6816264 6903652 7059702 7147920 7150211 7240720 7303140 7396770 7505316 7602756 7864920 8145810 8236319 8339240 8520330 8629565 8876124 9381645 9412936 9503445 9615801 9737520 9862360 10007088 10137008 10224396 10355478 10589553 10721880 10861080 11095155 11360440 11404134 11546640 11766170 11834832 12508860 12671260 12780495 12821068 13033296 13632528 13807304 14119404 14300422 14606280 14793540 15010632 15205512 15533217 15729840 16026335 16291620 16472638 16678480 17040660 17259130 17649255 17752248 18763290 18825872 19006890 19231602 19724720 20448792 20710956 21179106 21443760 21450633 21722160 22190310 22436869 22720880 22808268 23532340 24708957 25017720 25342520 25560990 25642136 25888695 27614608 28238808 28510335 28600844 28847403 29212560 29587080 30021264 30411024 31066434 32052670 32583240 32945276 34081320 34518260 35298510 35504496 35751055 37526580 38013780 38463204 40897584 41181595 41421912 42358212 42901266 44380620 44873738 45616536 47064680 48079005 49417914 50035440 50051477 50685040 51121980 51284272 51777390 52947765 56477616 57020670 57201688 57694806 59174160 62132868 64105340 64351899 65166480 65890552 67310607 68162640 69036520 70597020 71502110 74126871 75053160 76027560 76926408 77666085 82363190 82843824 84716424 85802532 88761240 89747476 91233072 92952743 94129360 96158010 98835828 100102954 102243960 103554780 105895530 107253165 112184345 114041340 114403376 115389612 123544785 124265736 128210680 128703798 131781104 134621214 138073040 141194040 143004220 144237015 148253742 150106320 150154431 152055120 153852816 155332170 164726380 169432848 171605064 177522480 179494952 185905486 192316020 197671656 200205908 201931821 204487920 207109560 211791060 214506330 224368690 228082680 230779224 247089570 248531472 250257385 256421360 257407596 269242428 278858229 282388080 286008440 288474030 296507484 300308862 310664340 321759495 329452760 336553035 343210128 358989904 370634355 371810972 384632040 395343312 400411816 403863642 414219120 423582120 429012660 448737380 450463293 456165360 461558448 464763715 494179140 500514770 514815192 538484856 557716458 572016880 576948060 593014968 600617724 621328680 643518990 650669201 658905520 673106070 741268710 743621944 750772155 769264080 800823632 807727284 836574687 847164240 858025320 897474760 900926586 929527430 988358280 1001029540 1009659105 1029630384 1076969712 1115432916 1153896120 1186029936 1201235448 1242657360 1287037980 1301338402 1346212140 1394291145 1482537420 1487243888 1501544310 1615454568 1673149374 1716050640 1794949520 1801853172 1859054860 1952007603 1976716560 2002059080 2019318210 2230865832 2252316465 2307792240 2402470896 2574075960 2602676804 2692424280 2788582290 2965074840 3003088620 3230909136 3253346005 3346298748 3603706344 3718109720 3904015206 4004118160 4038636420 4182873435 4461731664 4504632930 5148151920 5205353608 5384848560 5577164580 5856022809 5930149680 6006177240 6506692010 6692597496 7207412688 7436219440 7808030412 8077272840 8365746870 9009265860 9760038015 10410707216 11154329160 11712045618 12012354480 13013384020 13385194992 15616060824 16154545680 16731493740 18018531720 19520076030 22308658320 23424091236 26026768040 29280114045 31232121648 33462987480 36037063440 39040152060 46848182472 52053536080 58560228090 66925974960 78080304120 93696364944 117120456180 156160608240 234240912360 468481824720
• Sum of all divisors σ(n): 2029170124800
• Sum of proper divisors (its aliquot sum) s(n): 1560688300080
• 468481824720 is an abundant number, because the sum of its proper divisors (1560688300080) is greater than itself. Its abundance is 1092206475360

Bases of 468481824720

• Binary: 110110100010011101100010101011111010000₂
• Hexadecimal: 0x6D13B157D0
• Base-36: 5Z7TZDG0

Squares and roots of 468481824720

• 468481824720 squared (468481824720²) is 219475220092980803078400
• 468481824720 cubed (468481824720³) is 102820151589983254690099825218048000
• The square root of 468481824720 is 684457.3213283647
• The cube root of 468481824720 is 7766.5995903835

Scales and comparisons

• 468,481,824,720 seconds is equal to 14,896 years, 14 weeks, 1 day, 8 hours, 12 minutes.
• To count from 1 to 468,481,824,720 would take you about twenty-nine thousand, seven hundred ninety-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 468481824720 cubic inches would be around 647.2 feet tall.

Recreational maths with 468481824720

• 468481824720 backwards is 027428184864
• The number of decimal digits it has is: 12
• The sum of 468481824720's digits is 54
• More coming soon!