468380390400

Names of 468380390400

• Cardinal: 468380390400 can be written as Four hundred sixty-eight billion, three hundred eighty million, three hundred ninety thousand, four hundred.

Scientific notation

• Scientific notation: 4.683803904 × 10¹¹

Factors of 468380390400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 569

Divisors of 468380390400

• Number of divisors d(n): 1188
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 23 24 25 26 30 32 36 39 40 45 46 48 50 52 60 64 65 69 72 75 78 80 90 92 96 100 104 115 117 120 128 130 138 144 150 156 160 169 180 184 192 195 200 207 208 225 230 234 240 256 260 276 288 299 300 312 320 325 338 345 360 368 384 390 400 414 416 450 460 468 480 507 512 520 523 552 575 576 585 598 600 624 640 650 676 690 720 736 768 780 800 828 832 845 897 900 920 936 960 975 1014 1024 1035 1040 1046 1104 1150 1152 1170 1196 1200 1248 1280 1300 1352 1380 1440 1472 1495 1521 1536 1560 1569 1600 1656 1664 1690 1725 1794 1800 1840 1872 1920 1950 2028 2070 2080 2092 2208 2300 2304 2340 2392 2400 2496 2535 2560 2600 2615 2691 2704 2760 2880 2925 2944 2990 3042 3072 3120 3138 3200 3312 3328 3380 3450 3588 3600 3680 3744 3840 3887 3900 4056 4140 4160 4184 4225 4416 4485 4600 4608 4680 4707 4784 4800 4992 5070 5120 5175 5200 5230 5382 5408 5520 5760 5850 5888 5980 6084 6240 6276 6400 6624 6656 6760 6799 6900 7176 7200 7360 7475 7488 7605 7680 7774 7800 7845 8112 8280 8320 8368 8450 8832 8970 9200 9216 9360 9414 9568 9600 9984 10140 10350 10400 10460 10764 10816 11040 11520 11661 11700 11776 11960 12029 12168 12480 12552 12675 12800 13075 13248 13312 13455 13520 13598 13800 14352 14400 14720 14950 14976 15210 15360 15548 15600 15690 16224 16560 16640 16736 16900 17664 17940 18400 18720 18828 19136 19200 19435 19968 20280 20397 20700 20800 20920 21528 21632 22080 22425 23040 23322 23400 23535 23552 23920 24058 24336 24960 25104 25350 25600 26150 26496 26910 27040 27196 27600 28704 28800 29440 29900 29952 30420 31096 31200 31380 32448 33120 33280 33472 33800 33995 34983 35328 35880 36087 36800 37440 37656 38025 38272 38400 38870 39225 39936 40560 40794 41400 41600 41840 43056 43264 44160 44850 46080 46644 46800 47070 47840 48116 48672 49920 50208 50700 52300 52992 53820 54080 54392 55200 57408 57600 58305 58880 59800 59904 60145 60840 61191 62192 62400 62760 64896 66240 66560 66944 67275 67600 67990 69966 70656 71760 72174 73600 74880 75312 76050 76544 76800 77740 78450 81120 81588 82800 83200 83680 86112 86528 88320 88387 89700 93288 93600 94140 95680 96232 97175 97344 99840 100416 101400 101985 104600 105984 107640 108160 108261 108784 110400 114816 115200 116610 117675 117760 119600 119808 120290 121680 122382 124384 124800 125520 129792 132480 133888 134550 135200 135980 139932 143520 144348 147200 149760 150624 152100 153088 155480 156377 156900 162240 163176 165600 166400 167360 169975 172224 173056 174915 176640 176774 179400 180435 186576 187200 188280 191360 192464 194350 194688 199680 200832 202800 203970 209200 211968 215280 216320 216522 217568 220800 229632 230400 233220 235350 239200 240580 243360 244764 248768 249600 251040 259584 264960 265161 267776 269100 270400 271960 279864 287040 288696 291525 294400 299520 300725 301248 304200 305955 306176 310960 312754 313800 324480 326352 331200 332800 334720 339950 344448 349830 353280 353548 358800 360870 373152 374400 376560 382720 384928 388700 389376 401664 405600 407940 418400 430560 432640 433044 435136 441600 441935 459264 466440 469131 470700 478400 481160 486720 489528 497536 499200 502080 509925 519168 529920 530322 535552 538200 540800 541305 543920 559728 574080 577392 583050 588800 599040 601450 602496 608400 611910 621920 625508 627600 648960 652704 662400 669440 679900 688896 699660 707096 717600 721740 746304 748800 753120 765440 769856 777400 778752 781885 795483 803328 811200 815880 836800 861120 865280 866088 870272 874575 883200 883870 902175 918528 932880 938262 941400 956800 962320 973440 979056 995072 998400 1004160 1019850 1059840 1060644 1076400 1081600 1082610 1087840 1119456 1148160 1154784 1166100 1202900 1204992 1216800 1223820 1243840 1251016 1255200 1297920 1305408 1324800 1325805 1338880 1359800 1377792 1399320 1407393 1414192 1435200 1443480 1492608 1497600 1506240 1529775 1530880 1539712 1554800 1557504 1563770 1590966 1606656 1622400 1631760 1673600 1722240 1732176 1740544 1749150 1766400 1767740 1804350 1865760 1876524 1882800 1913600 1924640 1946880 1958112 1990144 2008320 2032901 2039700 2121288 2152800 2163200 2165220 2175680 2209675 2238912 2296320 2309568 2332200 2345655 2405800 2409984 2433600 2447640 2487680 2502032 2510400 2595840 2610816 2649600 2651610 2677760 2706525 2719600 2755584 2798640 2814786 2828384 2870400 2886960 2985216 2995200 3012480 3059550 3079424 3109600 3127540 3181932 3244800 3263520 3347200 3444480 3464352 3481088 3498300 3535480 3608700 3731520 3753048 3765600 3827200 3849280 3893760 3909425 3916224 3977415 3980288 4016640 4065802 4079400 4242576 4305600 4326400 4330440 4351360 4419350 4477824 4592640 4619136 4664400 4691310 4811600 4819968 4867200 4895280 4975360 5004064 5020800 5221632 5299200 5303220 5413050 5439200 5597280 5629572 5656768 5740800 5773920 5970432 6024960 6098703 6119100 6158848 6219200 6255080 6363864 6489600 6527040 6629025 6694400 6888960 6928704 6962176 6996600 7036965 7070960 7217400 7463040 7506096 7531200 7654400 7698560 7787520 7818850 7832448 7954830 8033280 8131604 8158800 8485152 8611200 8660880 8702720 8838700 8955648 9238272 9328800 9382620 9623200 9734400 9790560 9950720 10008128 10041600 10164505 10443264 10606440 10826100 10878400 11194560 11259144 11313536 11481600 11547840 11728275 11940864 12049920 12197406 12238200 12317696 12438400 12510160 12727728 12979200 13054080 13258050 13388800 13777920 13857408 13993200 14073930 14141920 14434800 14926080 15012192 15062400 15397120 15637700 15664896 15909660 16263208 16317600 16970304 17222400 17321760 17405440 17677400 17911296 18296109 18476544 18657600 18765240 19246400 19468800 19581120 19887075 19901440 20016256 20083200 20329010 20886528 21212880 21652200 21756800 22389120 22518288 22627072 22963200 23095680 23456550 24099840 24394812 24476400 24876800 25020320 25455456 26108160 26516100 27714816 27986400 28147860 28283840 28869600 29852160 30024384 30124800 30493515 30794240 31275400 31329792 31819320 32526416 32635200 33940608 34444800 34643520 34810880 35184825 35354800 35822592 36592218 36953088 37315200 37530480 38492800 38937600 39162240 39774150 40032512 40166400 40658020 42425760 43304400 43513600 44778240 45036576 45254144 46191360 46913100 48789624 48952800 49753600 50040640 50822525 50910912 52216320 53032200 55429632 55972800 56295720 56567680 57739200 59704320 60048768 60249600 60987030 61588480 62550800 62659584 63638640 65052832 65270400 67881216 68889600 69287040 70369650 70709600 73184436 74630400 75060960 76985600 78324480 79548300 80065024 81316040 84851520 86608800 87027200 89556480 90073152 90508288 91480545 92382720 93826200 97579248 97905600 99507200 100081280 101645050 101821824 104432640 106064400 110859264 111945600 112591440 113135360 115478400 120097536 120499200 121974060 125101600 127277280 130105664 130540800 135762432 138574080 140739300 141419200 146368872 149260800 150121920 152467575 153971200 156648960 159096600 160130048 162632080 169703040 173217600 174054400 179112960 180146304 182961090 184765440 187652400 195158496 195811200 200162560 203290100 203643648 212128800 223891200 225182880 226270720 230956800 240195072 243948120 250203200 254554560 260211328 261081600 271524864 277148160 281478600 282838400 292737744 298521600 300243840 304935150 307942400 313297920 318193200 325264160 339406080 346435200 360292608 365922180 375304800 390316992 391622400 400325120 406580200 407287296 424257600 447782400 450365760 452541440 457402725 461913600 480390144 487896240 500406400 509109120 520422656 522163200 554296320 562957200 565676800 585475488 600487680 609870300 636386400 650528320 678812160 692870400 720585216 731844360 750609600 780633984 783244800 800650240 813160400 814574592 848515200 895564800 900731520 914805450 923827200 975792480 1000812800 1018218240 1040845312 1125914400 1131353600 1170950976 1200975360 1219740600 1272772800 1301056640 1357624320 1385740800 1441170432 1463688720 1501219200 1561267968 1566489600 1626320800 1697030400 1801463040 1829610900 1951584960 2001625600 2036436480 2081690624 2251828800 2262707200 2341901952 2401950720 2439481200 2545545600 2602113280 2771481600 2927377440 3002438400 3122535936 3252641600 3394060800 3602926080 3659221800 3903169920 4003251200 4072872960 4503657600 4683803904 4878962400 5091091200 5204226560 5854754880 6004876800 6245071872 6505283200 6788121600 7205852160 7318443600 7806339840 9007315200 9367607808 9757924800 10182182400 10408453120 11709509760 12009753600 13010566400 14636887200 15612679680 18014630400 18735215616 19515849600 20364364800 23419019520 26021132800 29273774400 31225359360 36029260800 39031699200 46838039040 52042265600 58547548800 78063398400 93676078080 117095097600 156126796800 234190195200 468380390400
• Sum of all divisors σ(n): 1898525816928
• Sum of proper divisors (its aliquot sum) s(n): 1430145426528
• 468380390400 is an abundant number, because the sum of its proper divisors (1430145426528) is greater than itself. Its abundance is 961765036128

Bases of 468380390400

• Binary: 110110100001101101001011001010000000000₂
• Hexadecimal: 0x6D0DA59400
• Base-36: 5Z65LA80

Squares and roots of 468380390400

• 468380390400 squared (468380390400²) is 219380190111256412160000
• 468380390400 cubed (468380390400³) is 102753379090336497762004107264000000
• The square root of 468380390400 is 684383.2189643463
• The cube root of 468380390400 is 7766.0390160839

Scales and comparisons

• 468,380,390,400 seconds is equal to 14,893 years, 2 weeks, 3 days, 8 hours.
• To count from 1 to 468,380,390,400 would take you about twenty-nine thousand, seven hundred eighty-six 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 468380390400 cubic inches would be around 647.2 feet tall.

Recreational maths with 468380390400

• 468380390400 backwards is 004093083864
• 468380390400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 468380390400's digits is 45
• More coming soon!