468345407400

Names of 468345407400

• Cardinal: 468345407400 can be written as Four hundred sixty-eight billion, three hundred forty-five million, four hundred seven thousand, four hundred.

Scientific notation

• Scientific notation: 4.683454074 × 10¹¹

Factors of 468345407400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 520

Divisors of 468345407400

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 18 20 23 24 25 26 27 30 36 39 40 45 46 50 52 53 54 60 65 69 72 75 78 90 92 100 104 106 108 115 117 120 130 135 138 150 156 159 169 180 184 195 200 207 212 216 225 230 234 260 265 270 276 299 300 312 318 325 338 345 351 360 390 414 421 424 450 460 468 477 507 520 530 540 552 575 585 598 600 621 636 650 675 676 689 690 702 780 795 828 842 845 897 900 920 936 954 975 1014 1035 1060 1080 1150 1170 1196 1219 1242 1263 1272 1300 1325 1350 1352 1378 1380 1404 1431 1495 1521 1560 1590 1656 1684 1690 1725 1755 1794 1800 1908 1950 2028 2067 2070 2105 2120 2300 2340 2385 2392 2438 2484 2526 2535 2600 2650 2691 2700 2756 2760 2808 2862 2925 2990 3042 3105 3180 3368 3380 3445 3450 3510 3588 3657 3789 3816 3887 3900 3975 4056 4134 4140 4210 4225 4485 4563 4600 4680 4770 4876 4968 5052 5070 5175 5300 5382 5400 5473 5512 5724 5850 5980 6084 6095 6201 6210 6315 6360 6760 6890 6900 7020 7155 7176 7314 7475 7578 7605 7774 7800 7950 8073 8268 8280 8420 8450 8775 8957 8970 9126 9540 9683 9752 10104 10140 10335 10350 10525 10600 10764 10946 10971 11367 11448 11661 11700 11925 11960 12168 12190 12402 12420 12630 12675 13455 13780 13800 14040 14310 14628 14950 15156 15210 15525 15548 15847 15900 16146 16419 16536 16840 16900 17225 17550 17914 17940 18252 18285 18603 18945 19080 19366 19435 20280 20670 20700 21050 21528 21892 21942 22313 22425 22734 22815 23322 23400 23850 24380 24804 24840 25260 25350 26871 26910 27365 27560 28620 29049 29256 29900 30312 30420 30475 31005 31050 31096 31575 31694 31800 32292 32838 32913 33800 34450 34983 35100 35775 35828 35880 36504 36570 37206 37890 38025 38732 38870 40365 41340 41400 42100 43784 43884 44626 44785 44850 45468 45630 46644 47541 47700 48415 48760 49257 49608 50520 50700 51675 53742 53820 54730 54855 56835 57240 58098 58305 59800 60840 60950 62010 62100 63150 63388 64584 65676 65826 66939 67275 68900 69966 70200 71149 71550 71656 73140 74412 75780 76050 77464 77740 79235 80613 80730 82095 82680 84200 87147 87768 89252 89570 89700 90936 91260 91425 93015 93288 94725 95082 95400 96830 97175 98514 101400 103350 104949 107484 107640 109460 109710 111565 113670 114075 116196 116610 121900 124020 124200 125879 126300 126776 131352 131652 133878 134355 134550 136825 137800 139932 142298 142623 143100 145245 146280 147771 148824 151560 152100 155025 155480 158470 161226 161460 164190 164565 174294 174915 178504 179140 179400 182520 182850 186030 189450 190164 193660 194350 197028 200817 201825 206011 206700 209898 213447 214968 218920 219420 223130 223925 227340 228150 232392 233220 237705 241839 242075 243800 246285 248040 251758 252600 261441 263304 267756 268710 269100 273650 274275 279864 284175 284596 285246 286200 290069 290490 291525 295542 304200 310050 316940 322452 322920 328380 329130 334695 348588 349830 355745 358280 365700 372060 377637 378900 380328 387320 388700 394056 396175 401634 403065 403650 410475 412022 413400 419796 426894 427869 435735 438840 446260 447850 454680 456300 465075 466440 475410 483678 484150 492570 503516 513199 522882 524745 535512 537420 538200 547300 548550 557825 568350 569192 570492 580138 580980 583050 591084 602451 618033 620100 629395 633880 640341 644904 656760 658260 669390 671775 697176 699660 711490 713115 726225 731400 738855 744120 755274 757800 777400 792350 803268 806130 807300 820950 822825 824044 839592 853788 855738 870207 871470 874575 892520 895700 912600 930150 950820 967356 968300 985140 1004085 1007032 1026398 1030055 1045764 1049490 1067235 1074840 1094600 1097100 1115650 1132911 1136700 1140984 1160276 1161960 1166100 1182168 1188525 1204902 1209195 1231425 1236066 1240200 1258790 1280682 1307205 1316520 1338780 1343550 1399320 1422980 1426230 1450345 1452450 1477710 1510548 1539597 1584700 1606536 1612260 1614600 1636427 1641900 1645650 1648088 1673475 1707576 1711476 1740414 1742940 1749150 1778725 1791400 1854099 1860300 1888185 1901640 1921023 1934712 1936600 1970280 2008170 2015325 2052796 2060110 2091528 2098980 2134470 2139345 2178675 2194200 2231300 2265822 2273400 2320552 2332200 2377050 2409804 2418390 2462850 2472132 2517580 2561364 2565995 2610621 2614410 2623725 2677560 2687100 2845960 2852460 2900690 2904900 2955420 3012255 3021096 3079194 3090165 3146975 3169400 3201705 3224520 3272854 3283800 3291300 3346950 3398733 3422952 3480828 3485880 3498300 3557450 3565575 3694275 3708198 3720600 3770897 3776370 3842046 4016340 4030650 4105592 4120220 4197960 4268940 4278690 4351035 4357350 4462600 4531644 4618791 4754100 4819608 4836780 4909281 4925700 4944264 5020425 5035160 5122728 5131990 5150275 5221242 5228820 5247450 5336175 5374200 5562297 5664555 5704920 5801380 5809800 5910840 6024510 6045975 6158388 6180330 6293950 6403410 6536025 6545708 6582600 6671587 6693900 6797466 6961656 6996600 7114900 7131150 7251725 7388550 7416396 7541794 7552740 7684092 7697985 7831863 8032680 8061300 8182135 8240440 8537880 8557380 8702070 8714700 9063288 9237582 9270495 9440925 9508200 9605115 9673560 9818562 9851400 10040850 10263980 10300550 10442484 10457640 10494900 10672350 10696725 11124594 11312691 11329110 11602760 12049020 12091950 12316776 12360660 12587900 12806820 12829975 13053105 13072050 13091416 13343174 13387800 13594932 13856373 14229800 14262300 14503450 14727843 14777100 14832792 15061275 15083588 15105480 15368184 15395970 15450825 15663726 16008525 16122600 16364270 16993665 17114760 17404140 17429400 18475164 18540990 18854485 18881850 19210230 19637124 20014761 20081700 20527960 20601100 20884968 20989800 21344700 21393450 21755175 22249188 22625382 22658220 23093955 24098040 24183900 24546405 24721320 25175800 25613640 25659950 26106210 26144100 26686348 27189864 27712746 27811485 28322775 28524600 29006900 29455686 29554200 30122550 30167176 30791940 30901650 31327452 32017050 32728540 33357935 33938073 33987330 34808280 36950328 37081980 37708970 37763700 38420460 38489925 39159315 39274248 40029522 40163400 40910675 41202200 42689400 42786900 43510350 44183529 44498376 45250764 45316440 46187910 46352475 48025575 48367800 49092810 51319900 52212420 52288200 53372696 55425492 55622970 56563455 56645550 58013800 58911372 60044283 60245100 61583880 61803300 62654904 64034100 65265525 65457080 66715870 67876146 67974660 69281865 73639215 74163960 75417940 75527400 76840920 76979850 78318630 80059044 81821350 84968325 85573800 86730631 87020700 88367058 90501528 92375820 92704950 94272425 96051150 98185620 100073805 101814219 102639800 104424840 110850984 111245940 113126910 113291100 115469775 117822744 120088566 120490200 122732025 123606600 128068200 130531050 133431740 135752292 135949320 138563730 139057425 147278430 150835880 153959700 156637260 160118088 163642700 166789675 169690365 169936650 173461262 174041400 176734116 180132849 184751640 185409900 188544850 192102300 195796575 196371240 200147610 203628438 220917645 222491880 226253820 226582200 230939550 240177132 245464050 260191893 261062100 266863480 271504584 277127460 278114850 282817275 294556860 300221415 307919400 313274520 327285400 333579350 339380730 339873300 346409325 346922524 353468232 360265698 368196075 370819800 377089700 384204600 391593150 400295220 407256876 433653155 441835290 452507640 461879100 480354264 490928100 500369025 509071095 520383786 522124200 554254920 556229700 565634550 589113720 600442830 667158700 678761460 679746600 692818650 693845048 720531396 736392150 754179400 780575679 783186300 800590440 814513752 848451825 867306310 883670580 900664245 923758200 981856200 1000738050 1018142190 1040767572 1104588225 1112459400 1131269100 1200885660 1300959465 1334317400 1357522920 1385637300 1441062792 1472784300 1501107075 1561151358 1566372600 1696903650 1734612620 1767341160 1801328490 2001476100 2036284380 2081535144 2168265775 2209176450 2262538200 2341727037 2401771320 2545355475 2601918930 2771274600 2945568600 3002214150 3122302716 3393807300 3469225240 3602656980 3902878395 4002952200 4072568760 4336531550 4418352900 4503321225 4683454074 5090710950 5203837860 6004428300 6244605432 6504797325 6787614600 7205313960 7805756790 8673063100 8836705800 9006642450 9366908148 10181421900 10407675720 11708635185 12008856600 13009594650 15611513580 17346126200 18013284900 18733816296 19514391975 20362843800 23417270370 26019189300 31223027160 36026569800 39028783950 46834540740 52038378600 58543175925 78057567900 93669081480 117086351850 156115135800 234172703700 468345407400
• Sum of all divisors σ(n): 1861579065600
• Sum of proper divisors (its aliquot sum) s(n): 1393233658200
• 468345407400 is an abundant number, because the sum of its proper divisors (1393233658200) is greater than itself. Its abundance is 924888250800

Bases of 468345407400

• Binary: 110110100001011100011111100011110101000₂
• Hexadecimal: 0x6D0B8FC7A8
• Base-36: 5Z5KRH60

Squares and roots of 468345407400

• 468345407400 squared (468345407400²) is 219347420632671974760000
• 468345407400 cubed (468345407400³) is 102730357078347921769534717224000000
• The square root of 468345407400 is 684357.6604378737
• The cube root of 468345407400 is 7765.8456646167

Scales and comparisons

• 468,345,407,400 seconds is equal to 14,891 years, 48 weeks, 4 days, 10 hours, 30 minutes.
• To count from 1 to 468,345,407,400 would take you about twenty-nine thousand, seven hundred eighty-three 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 468345407400 cubic inches would be around 647.2 feet tall.

Recreational maths with 468345407400

• 468345407400 backwards is 004704543864
• 468345407400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 468345407400's digits is 45
• More coming soon!