468116148000

Names of 468116148000

• Cardinal: 468116148000 can be written as Four hundred sixty-eight billion, one hundred sixteen million, one hundred forty-eight thousand.

Scientific notation

• Scientific notation: 4.68116148 × 10¹¹

Factors of 468116148000

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 217

Divisors of 468116148000

• Number of divisors d(n): 1536
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 17 19 20 23 24 25 30 32 34 38 40 46 48 50 51 57 59 60 68 69 75 76 80 85 89 92 95 96 100 102 114 115 118 120 125 136 138 150 152 160 170 177 178 184 190 200 204 228 230 236 240 250 255 267 272 276 285 295 300 304 323 340 345 354 356 368 375 380 391 400 408 425 437 445 456 460 472 475 480 500 510 534 544 552 570 575 590 600 608 646 680 690 708 712 736 750 760 782 800 816 850 874 885 890 912 920 944 950 969 1000 1003 1020 1068 1104 1121 1140 1150 1173 1180 1200 1275 1292 1311 1335 1357 1360 1380 1416 1424 1425 1475 1500 1513 1520 1564 1615 1632 1691 1700 1725 1748 1770 1780 1824 1840 1888 1900 1938 1955 2000 2006 2040 2047 2125 2136 2185 2208 2225 2242 2280 2300 2346 2360 2375 2400 2550 2584 2622 2670 2714 2720 2760 2832 2848 2850 2875 2950 3000 3009 3026 3040 3128 3230 3363 3382 3400 3450 3496 3540 3560 3680 3800 3876 3910 4000 4012 4071 4080 4094 4250 4272 4370 4425 4450 4484 4539 4560 4600 4692 4720 4750 4845 5015 5073 5100 5168 5244 5251 5340 5428 5520 5605 5664 5700 5750 5865 5900 6000 6018 6052 6141 6256 6375 6460 6555 6675 6726 6764 6785 6800 6900 6992 7080 7120 7125 7375 7429 7565 7600 7752 7820 8024 8075 8142 8160 8188 8455 8500 8544 8625 8740 8850 8900 8968 9078 9120 9200 9384 9440 9500 9690 9775 10030 10146 10200 10235 10336 10488 10502 10680 10856 10925 11040 11125 11210 11400 11500 11730 11800 12000 12036 12104 12282 12512 12750 12920 13110 13350 13452 13528 13570 13600 13800 13984 14160 14240 14250 14750 14858 15045 15130 15200 15504 15640 15753 16048 16150 16284 16376 16815 16910 17000 17250 17480 17700 17800 17936 18156 18400 18768 19000 19057 19380 19550 20060 20292 20355 20400 20470 20976 21004 21360 21712 21850 22125 22250 22287 22420 22695 22800 23000 23069 23460 23600 24072 24208 24225 24564 25075 25365 25500 25783 25840 26220 26255 26700 26904 27056 27140 27600 28025 28320 28500 28747 29325 29500 29716 30090 30260 30705 31008 31280 31506 32096 32300 32568 32752 32775 33375 33630 33820 33925 34000 34500 34799 34960 35400 35600 35872 36312 37145 37536 37825 38000 38114 38760 38893 39100 40120 40375 40584 40710 40800 40940 41952 42008 42275 42720 43424 43700 44250 44500 44574 44840 45390 45600 46000 46138 46920 47200 48144 48416 48450 48875 49128 50150 50730 51000 51175 51566 51680 52440 52510 53400 53808 54112 54280 54625 55200 56050 57000 57171 57494 58650 59000 59432 60180 60520 61410 62560 63012 64600 65136 65504 65550 66750 67260 67640 67850 68000 69000 69207 69598 69920 70800 71200 72624 74290 75225 75650 76000 76228 77349 77520 77786 78200 78765 80240 80750 81168 81420 81880 84016 84075 84550 86241 87400 88500 89000 89148 89267 89680 90780 92000 92276 93840 95285 96288 96900 97750 98256 99769 100300 101460 101775 102000 102350 103132 104397 104880 105020 106800 107616 108560 109250 111435 112100 113475 114000 114342 114988 115345 116679 117300 118000 118864 120360 120773 121040 121125 122820 125375 126024 126825 128915 129200 130272 131100 131275 133500 134520 135280 135700 138000 138414 139196 140125 141600 143735 145248 146625 148580 150450 151300 152456 153525 154698 155040 155572 156400 157530 160480 161500 162336 162840 163760 163875 168032 168150 169100 169625 172482 173995 174800 177000 178000 178296 178534 179360 181560 184552 185725 187680 189125 190570 193800 194465 195500 196512 199538 200600 202920 203550 204000 204700 206264 208794 209760 210040 211375 213600 217120 218500 222870 224200 226950 228000 228684 229976 230690 233358 234600 236000 237728 240720 241546 242080 242250 245640 250750 252048 253650 255875 257830 258400 262200 262550 267000 267801 269040 270560 271400 276000 276828 278392 280250 285855 287470 293250 297160 299307 300900 302600 304912 307050 309396 311144 312800 315060 323000 325680 327520 327750 336300 338200 339250 344964 346035 347990 349600 354000 356000 356592 357068 362319 363120 369104 371450 376125 378250 381140 386745 387600 388930 391000 393825 399076 401200 405840 407100 409400 412528 417588 420080 420375 422750 431205 437000 438311 445740 446335 448400 453900 457368 459952 461380 466716 469200 476425 481440 483092 484500 491280 498845 501500 504096 507300 508875 511750 515660 521985 524400 525100 534000 535602 538080 542800 553656 556784 557175 560500 567375 571710 574940 576725 583395 586500 594320 598614 601800 603865 605200 609824 614100 618792 622288 630120 634125 644575 646000 651360 655500 656375 661181 672600 676400 678500 689928 692070 695980 708000 713184 714136 718675 724638 726240 738208 742900 752250 756500 762280 767625 773490 775200 777860 782000 787650 798152 802400 811680 814200 818800 825056 835176 840160 840750 845500 862410 869975 874000 876622 891480 892670 896800 907800 914736 919904 922760 928625 933432 938400 952850 966184 969000 972325 982560 997690 1003000 1014600 1017750 1023500 1031320 1043970 1048800 1050200 1068000 1071204 1085600 1107312 1113568 1114350 1121000 1134750 1143420 1149880 1153450 1166790 1173000 1188640 1197228 1203600 1207730 1210400 1228200 1237584 1244576 1260240 1268250 1289150 1292000 1311000 1312750 1314933 1322362 1339005 1345200 1352800 1357000 1379856 1384140 1391960 1428272 1429275 1437350 1449276 1485800 1496535 1504500 1513000 1524560 1535250 1546980 1555720 1564000 1575300 1596304 1628400 1637600 1670352 1681500 1691000 1696073 1724820 1730175 1739950 1748000 1753244 1782960 1785340 1811595 1815600 1829472 1845520 1857250 1866864 1905700 1932368 1933725 1938000 1944650 1969125 1983543 1995380 2006000 2029200 2035500 2047000 2053141 2062640 2087940 2100400 2142408 2156025 2191555 2214624 2228700 2231675 2242000 2269500 2286840 2294687 2299760 2306900 2333580 2346000 2382125 2394456 2407200 2415460 2456400 2475168 2494225 2520480 2536500 2578300 2609925 2622000 2625500 2629866 2644724 2678010 2690400 2714000 2759712 2768280 2783920 2785875 2856544 2858550 2874700 2883625 2898552 2916975 2971600 2993070 3009000 3019325 3026000 3049120 3070500 3093960 3111440 3150600 3192608 3222875 3256800 3305905 3340704 3363000 3382000 3392146 3449640 3460350 3479900 3506488 3565920 3570680 3593375 3623190 3631200 3691040 3714500 3733728 3811400 3864736 3867450 3876000 3889300 3938250 3967086 3990760 4012000 4058400 4071000 4094000 4106282 4125280 4175880 4200800 4284816 4312050 4349875 4383110 4457400 4463350 4484000 4539000 4573680 4589374 4599520 4613800 4667160 4692000 4764250 4788912 4830920 4861625 4912800 4988450 5073000 5088219 5156600 5219850 5244000 5251000 5259732 5289448 5356020 5428000 5536560 5567840 5571750 5717100 5749400 5767250 5797104 5833950 5943200 5986140 6018000 6038650 6052000 6141000 6159423 6187920 6222880 6301200 6445750 6574665 6611810 6695025 6726000 6764000 6784292 6884061 6899280 6920700 6959800 7012976 7141360 7146375 7186750 7246380 7429000 7482675 7622800 7734900 7778600 7876500 7934172 7981520 8142000 8188000 8212564 8351760 8480365 8569632 8624100 8650875 8699750 8766220 8914800 8926700 9057975 9078000 9147360 9178748 9227600 9334320 9528500 9577824 9661840 9668625 9723250 9917715 9976900 10146000 10176438 10265705 10313200 10439700 10502000 10519464 10578896 10712040 10780125 10957775 11073120 11143500 11158375 11434200 11473435 11498800 11534500 11594208 11667900 11972280 12036000 12077300 12282000 12318846 12375840 12471125 12602400 12891500 13049625 13149330 13223620 13390050 13452000 13568584 13768122 13798560 13841400 13919600 14025952 14282720 14292750 14373500 14492760 14584875 14858000 14965350 15096625 15245600 15469800 15557200 15753000 15868344 15963040 16284000 16425128 16529525 16703520 16960730 17248200 17301750 17399500 17532440 17829600 17853400 18115950 18156000 18357496 18455200 18668640 19057000 19323680 19337250 19446500 19835430 19953800 20292000 20352876 20531410 20626400 20879400 21004000 21038928 21157792 21424080 21560250 21915550 22287000 22316750 22868400 22946870 22997600 23069000 23335800 23944560 24154600 24564000 24637692 24942250 25441095 25783000 26099250 26298660 26447240 26780100 27137168 27536244 27682800 27839200 28585500 28747000 28985520 29169750 29716000 29930700 30193250 30797115 30939600 31114400 31506000 31736688 32850256 32873325 33059050 33475125 33921460 34420305 34496400 34603500 34799000 35064880 35706800 36231900 36714992 37413375 38114000 38674500 38893000 39009679 39670860 39907600 40705752 41062820 41758800 42077856 42401825 42848160 43120500 43831100 44574000 44633500 45289875 45736800 45893740 46138000 46671600 47889120 48309200 49275384 49588575 49884500 50882190 51328525 51566000 52198500 52597320 52894480 53560200 54274336 54788875 55072488 55365600 57171000 57367175 57494000 57971040 58339500 59861400 60386500 61594230 61879200 63012000 63473376 65700512 65746650 66118100 66950250 67842920 68840610 68992800 69207000 69598000 70129760 71413600 72463800 73429984 74826750 76228000 77349000 77786000 78019358 79341720 79815200 81411504 82125640 82647625 83517600 84803650 86241000 87662200 89148000 89267000 90579750 91787480 92276000 93343200 96618400 98550768 99177150 99769000 101764380 102657050 103132000 104397000 105194640 105788960 107120400 109577750 110144976 114342000 114734350 114988000 116679000 117029037 119722800 120773000 123188460 127205475 131493300 132236200 133900500 135685840 137681220 138414000 139196000 144927600 149653500 153985575 154698000 155572000 156038716 158683440 162823008 164251280 164366625 165295250 169607300 172101525 172482000 175324400 178534000 181159500 183574960 195048395 197101536 198354300 199538000 203528760 205314100 208794000 210389280 212009125 214240800 219155500 220289952 228684000 229468700 233358000 234058074 239445600 241546000 246376920 247942875 254410950 256642625 262986600 264472400 267801000 271371680 275362440 276828000 286835875 289855200 299307000 307971150 309396000 312077432 317366880 328502560 328733250 330590500 339214600 344203050 344964000 350648800 357068000 362319000 367149920 390096790 396708600 399076000 407057520 410628200 417588000 424018250 438311000 458937400 466716000 468116148 483092000 492753840 495885750 508821900 513285250 525973200 528944800 535602000 550724880 573671750 585145185 598614000 615942300 624154864 636027375 657466500 661181000 678429200 688406100 724638000 769927875 780193580 793417200 814115040 821256400 848036500 860507625 876622000 917874800 936232296 975241975 985507680 991771500 1017643800 1026570500 1051946400 1071204000 1101449760 1147343500 1170290370 1197228000 1231884600 1248309728 1272054750 1314933000 1322362000 1356858400 1376812200 1449276000 1539855750 1560387160 1586834400 1642512800 1696073000 1721015250 1753244000 1835749600 1872464592 1950483950 1983543000 2035287600 2053141000 2294687000 2340580740 2463769200 2544109500 2629866000 2644724000 2753624400 2925725925 3079711500 3120774320 3392146000 3442030500 3744929184 3900967900 3967086000 4070575200 4106282000 4589374000 4681161480 4876209875 4927538400 5088219000 5259732000 5507248800 5851451850 6159423000 6241548640 6784292000 6884061000 7801935800 7934172000 8212564000 9178748000 9362322960 9752419750 10176438000 11702903700 12318846000 13768122000 14628629625 15603871600 18724645920 19504839500 20352876000 23405807400 24637692000 27536244000 29257259250 31207743200 39009679000 46811614800 58514518500 78019358000 93623229600 117029037000 156038716000 234058074000 468116148000
• Sum of all divisors σ(n): 1834140672000
• Sum of proper divisors (its aliquot sum) s(n): 1366024524000
• 468116148000 is an abundant number, because the sum of its proper divisors (1366024524000) is greater than itself. Its abundance is 897908376000

Bases of 468116148000

• Binary: 110110011111101111001011000111100100000₂
• Hexadecimal: 0x6CFDE58F20
• Base-36: 5Z1S9NHC

Squares and roots of 468116148000

• 468116148000 squared (468116148000²) is 219132728018357904000000
• 468116148000 cubed (468116148000³) is 102579568540685375305833792000000000
• The square root of 468116148000 is 684190.1402388081
• The cube root of 468116148000 is 7764.5783067545

Scales and comparisons

• 468,116,148,000 seconds is equal to 14,884 years, 33 weeks, 3 days, 23 hours, 20 minutes.
• To count from 1 to 468,116,148,000 would take you about twenty-nine thousand, seven hundred sixty-nine 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 468116148000 cubic inches would be around 647 feet tall.

Recreational maths with 468116148000

• 468116148000 backwards is 000841611864
• The number of decimal digits it has is: 12
• The sum of 468116148000's digits is 39
• More coming soon!