468456730560

Names of 468456730560

• Cardinal: 468456730560 can be written as Four hundred sixty-eight billion, four hundred fifty-six million, seven hundred thirty thousand, five hundred sixty.

Scientific notation

• Scientific notation: 4.6845673056 × 10¹¹

Factors of 468456730560

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1888

Divisors of 468456730560

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 32 35 36 39 40 42 45 47 48 49 52 54 56 60 63 64 65 70 72 78 80 84 90 91 94 96 98 104 105 108 112 117 120 126 130 135 140 141 144 147 156 160 168 180 182 188 189 192 195 196 208 210 216 224 234 235 240 245 252 260 270 273 280 282 288 294 312 315 320 329 336 351 360 364 376 378 390 392 416 420 423 432 441 448 455 468 470 480 490 504 520 540 546 560 564 576 585 588 611 624 630 637 658 672 702 705 720 728 735 752 756 780 784 819 832 840 846 864 882 910 936 940 945 960 980 987 1008 1040 1080 1092 1120 1128 1170 1176 1222 1248 1260 1269 1274 1316 1323 1344 1365 1404 1410 1440 1456 1470 1504 1512 1560 1568 1638 1645 1680 1692 1728 1755 1764 1811 1820 1833 1872 1880 1890 1911 1960 1974 2016 2080 2115 2160 2184 2205 2240 2256 2303 2340 2352 2444 2457 2496 2520 2538 2548 2632 2646 2730 2808 2820 2880 2912 2940 2961 3008 3024 3055 3120 3136 3185 3276 3290 3360 3384 3510 3528 3622 3640 3666 3744 3760 3780 3822 3920 3948 4032 4095 4160 4230 4277 4320 4368 4410 4512 4606 4680 4704 4888 4914 4935 5040 5076 5096 5264 5292 5433 5460 5499 5616 5640 5733 5824 5880 5922 6048 6110 6240 6345 6370 6552 6580 6615 6720 6768 6909 7020 7056 7244 7280 7332 7488 7520 7560 7644 7840 7896 8190 8460 8554 8640 8736 8820 8883 9024 9055 9165 9212 9360 9408 9555 9776 9828 9870 10080 10152 10192 10528 10584 10866 10920 10998 11232 11280 11466 11515 11760 11844 12096 12220 12285 12480 12677 12690 12740 12831 13104 13160 13230 13536 13818 14040 14112 14488 14560 14664 14805 15040 15120 15288 15680 15792 16299 16380 16497 16920 17108 17199 17472 17640 17766 18110 18330 18424 18720 19110 19552 19656 19740 20160 20304 20384 20727 21056 21168 21385 21732 21840 21996 22464 22560 22932 23030 23520 23543 23688 24440 24570 25354 25380 25480 25662 26208 26320 26460 27072 27165 27495 27636 28080 28224 28665 28976 29120 29328 29610 29939 30240 30576 31584 32598 32760 32994 33840 34216 34398 34545 35280 35532 36220 36660 36848 37440 38031 38220 38493 39104 39312 39480 40608 40768 41454 42336 42770 43464 43680 43992 44415 45120 45864 46060 47040 47086 47376 48880 48897 49140 50708 50760 50960 51324 52416 52640 52920 54330 54990 55272 56160 57330 57952 58656 59220 59878 60480 61152 62181 63168 63385 64155 65196 65520 65988 67680 68432 68796 69090 70560 70629 71064 72440 73320 73696 76062 76440 76986 78624 78960 81216 81495 82485 82908 84672 85117 85540 85995 86928 87360 87984 88739 88830 89817 91728 92120 94172 94752 97760 97794 98280 101416 101520 101920 102648 103635 105280 105840 108660 109980 110544 112320 114093 114660 115479 115904 117312 117715 118440 119756 122304 124362 126770 128310 130392 131040 131976 135360 136864 137592 138180 141120 141258 142128 144880 146640 147392 149695 152124 152880 153972 157248 157920 162990 164801 164970 165816 170234 171080 171990 173856 175968 177478 177660 179634 183456 184240 188344 189504 190155 192465 195520 195588 196560 202832 203040 203840 205296 207270 211680 211887 217320 219960 221088 228186 229320 230958 235430 236880 239512 244485 248724 253540 255351 256620 260784 262080 263952 266217 269451 273728 275184 276360 282516 284256 289760 293280 299390 304248 305760 307944 310905 315840 325980 329602 329940 331632 340468 342160 342279 343980 347712 351936 353145 354956 355320 359268 366912 368480 376688 380310 384930 391176 393120 405664 406080 410592 414540 423360 423774 425585 434640 439920 442176 443695 449085 456372 458640 461916 470860 473760 479024 488970 494403 497448 507080 510702 513240 521568 527904 532434 538902 550368 552720 565032 568512 570465 577395 579520 586560 595819 598780 608496 611520 615888 621810 635661 651960 659204 659880 663264 680936 684320 684558 687960 706290 709912 710640 718536 736960 753376 760620 766053 769860 782352 786240 798651 808353 811328 821184 824005 829080 847548 851170 869280 879840 887390 898170 912744 917280 923832 941720 947520 958048 977940 988806 994896 1014160 1021404 1026480 1043136 1055808 1059435 1064868 1077804 1100736 1105440 1106521 1130064 1140930 1153607 1154790 1191638 1197560 1216992 1231776 1243620 1271322 1276755 1303920 1318408 1319760 1326528 1331085 1347255 1361872 1368640 1369116 1375920 1412580 1419824 1421280 1437072 1483209 1506752 1521240 1532106 1539720 1564704 1597302 1616706 1648010 1658160 1695096 1702340 1711395 1738560 1759680 1774780 1787457 1796340 1825488 1834560 1847664 1883440 1916096 1955880 1977612 1989792 2028320 2042808 2052960 2118870 2129736 2155608 2210880 2213042 2260128 2281860 2298159 2307214 2309580 2383276 2395120 2395953 2433984 2463552 2472015 2487240 2542644 2553510 2607840 2636816 2639520 2662170 2694510 2723744 2738232 2751840 2825160 2839648 2842560 2874144 2966418 2979095 3042480 3064212 3079440 3129408 3178305 3194604 3233412 3296020 3316320 3319563 3390192 3404680 3422790 3460821 3549560 3574914 3592680 3650976 3695328 3766880 3830265 3911760 3955224 3979584 3993255 4041765 4056640 4085616 4105920 4170733 4237740 4259472 4311216 4426084 4449627 4520256 4563720 4596318 4614428 4619160 4766552 4790240 4791906 4944030 4974480 5085288 5107020 5215680 5273632 5279040 5324340 5362371 5389020 5447488 5476464 5503680 5532605 5650320 5679296 5748288 5768035 5932836 5958190 6084960 6128424 6158880 6356610 6389208 6466824 6592040 6632640 6639126 6780384 6809360 6845580 6921642 7099120 7149828 7185360 7301952 7390656 7416045 7533760 7660530 7745647 7823520 7910448 7986510 8083530 8171232 8341466 8475480 8518944 8622432 8852168 8899254 8937285 9127440 9192636 9228856 9238320 9533104 9580480 9583812 9888060 9948960 9958689 10170576 10214040 10382463 10547264 10648680 10724742 10778040 10952928 11065210 11300640 11490795 11536070 11865672 11916380 11979765 12169920 12256848 12317760 12512199 12713220 12778416 12933648 13184080 13278252 13560768 13618720 13691160 13843284 14198240 14299656 14370720 14832090 15321060 15491294 15647040 15820896 15973020 16087113 16167060 16342464 16597815 16682932 16950960 17037888 17244864 17304105 17704336 17798508 17874570 18254880 18385272 18457712 18476640 19066208 19167624 19776120 19897920 19917378 20341152 20428080 20764926 20853665 21297360 21449484 21556080 21905856 22130420 22248135 22601280 22981590 23072140 23236941 23731344 23832760 23959530 24513696 25024398 25426440 25556832 25867296 26368160 26556504 26811855 27237440 27382320 27686568 28396480 28599312 28741440 29664180 29876067 30642120 30982588 31147389 31641792 31946040 32174226 32334120 33195630 33365864 33901920 34608210 35408672 35597016 35749140 36509760 36770544 36915424 36953280 37536597 38132416 38335248 38728235 39552240 39834756 40682304 40856160 41529852 41707330 42594720 42898968 43112160 44260840 44496270 45963180 46144280 46473882 47462688 47665520 47919060 49027392 49793445 50048796 50852880 51113664 51734592 51912315 52736320 53113008 53623710 54219529 54764640 55373136 57198624 59328360 59752134 61284240 61965176 62294778 62560995 63892080 64348452 64668240 66391260 66731728 67803840 69216420 69710823 70817344 71194032 71498280 73541088 73830848 75073194 76670496 77456470 79104480 79669512 80435565 81712320 83059704 83414660 85189440 85797936 86224320 88521680 88992540 91926360 92288560 92947764 94925376 95331040 95838120 99586890 100097592 101705760 103824630 106226016 107247420 108439058 109529280 110746272 112609791 114397248 116184705 118656720 119504268 122568480 123930352 124589556 125121990 127784160 128696904 129336480 132782520 133463456 138432840 139421646 142388064 142996560 147082176 149380335 150146388 153340992 154912940 155736945 158208960 159339024 160871130 162658587 166119408 166829320 171595872 177043360 177985080 183852720 184577120 185895528 187682985 190662080 191676240 199173780 200195184 203411520 207649260 209132469 212452032 214494840 216878116 221492544 225219582 232369410 237313440 239008536 245136960 247860704 249179112 250243980 255568320 257393808 258672960 265565040 266926912 271097645 276865680 278843292 284776128 285993120 298760670 300292776 309825880 311473890 318678048 321742260 325317174 332238816 333658640 343191744 348554115 354086720 355970160 367705440 369154240 371791056 375365970 383352480 398347560 400390368 415298520 418264938 428989680 433756232 450439164 464738820 474626880 478017072 487975761 495721408 498358224 500487960 514787616 531130080 542195290 553731360 557686584 563048955 571986240 597521340 600585552 619651760 622947780 637356096 643484520 650634348 664477632 667317280 697108230 711940320 735410880 743582112 750731940 766704960 796695120 800780736 813292935 830597040 836529876 857979360 867512464 900878328 929477640 956034144 975951522 996716448 1000975920 1029575232 1045662345 1062260160 1084390580 1107462720 1115373168 1126097910 1195042680 1201171104 1239303520 1245895560 1286969040 1301268696 1334634560 1394216460 1423880640 1463927283 1487164224 1501463880 1593390240 1626585870 1661194080 1673059752 1715958720 1735024928 1801756656 1858955280 1912068288 1951903044 1993432896 2001951840 2091324690 2168781160 2230746336 2252195820 2390085360 2402342208 2439878805 2478607040 2491791120 2573938080 2602537392 2788432920 2927854566 3002927760 3186780480 3253171740 3322388160 3346119504 3470049856 3603513312 3717910560 3903806088 4003903680 4182649380 4337562320 4461492672 4504391640 4780170720 4879757610 4983582240 5147876160 5205074784 5576865840 5855709132 6005855520 6506343480 6692239008 7207026624 7319636415 7435821120 7807612176 8365298760 8675124640 9008783280 9560341440 9759515220 9967164480 10410149568 11153731680 11711418264 12011711040 13012686960 13384478016 14639272830 15615224352 16730597520 17350249280 18017566560 19519030440 22307463360 23422836528 26025373920 29278545660 31230448704 33461195040 36035133120 39038060880 46845673056 52050747840 58557091320 66922390080 78076121760 93691346112 117114182640 156152243520 234228365280 468456730560
• Sum of all divisors σ(n): 2115520727040
• Sum of proper divisors (its aliquot sum) s(n): 1647063996480
• 468456730560 is an abundant number, because the sum of its proper divisors (1647063996480) is greater than itself. Its abundance is 1178607265920

Bases of 468456730560

• Binary: 110110100010010001100100110111111000000₂
• Hexadecimal: 0x6D12326FC0
• Base-36: 5Z7F1IO0

Squares and roots of 468456730560

• 468456730560 squared (468456730560²) is 219451708406964437913600
• 468456730560 cubed (468456730560³) is 102803629836133026519193163759616000
• The square root of 468456730560 is 684438.9896550313
• The cube root of 468456730560 is 7766.4609156525

Scales and comparisons

• 468,456,730,560 seconds is equal to 14,895 years, 24 weeks, 4 days, 21 hours, 36 minutes.
• To count from 1 to 468,456,730,560 would take you about twenty-nine thousand, seven hundred ninety 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 468456730560 cubic inches would be around 647.2 feet tall.

Recreational maths with 468456730560

• 468456730560 backwards is 065037654864
• 468456730560 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 468456730560's digits is 54
• More coming soon!