468480983040

Names of 468480983040

• Cardinal: 468480983040 can be written as Four hundred sixty-eight billion, four hundred eighty million, nine hundred eighty-three thousand and forty.

Scientific notation

• Scientific notation: 4.6848098304 × 10¹¹

Factors of 468480983040

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 58

Divisors of 468480983040

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 41 42 45 48 54 56 60 63 64 70 72 80 81 82 84 90 96 105 108 112 120 123 126 128 135 140 144 160 162 164 168 180 189 192 205 210 216 224 240 243 246 252 256 270 280 287 288 315 320 324 328 336 360 369 378 384 405 410 420 432 448 480 486 492 504 512 540 560 567 574 576 615 630 640 648 656 672 720 738 756 768 810 820 840 861 864 896 945 960 972 984 1008 1024 1080 1107 1120 1134 1148 1152 1215 1230 1260 1280 1296 1312 1344 1435 1440 1476 1512 1536 1620 1640 1680 1681 1701 1722 1728 1792 1845 1890 1920 1944 1968 2016 2048 2160 2214 2240 2268 2296 2304 2430 2460 2520 2560 2583 2592 2624 2688 2835 2870 2880 2952 3024 3072 3240 3280 3321 3360 3362 3402 3444 3456 3584 3690 3780 3840 3888 3936 4032 4096 4305 4320 4428 4480 4536 4592 4608 4860 4920 5040 5043 5120 5166 5184 5248 5376 5535 5670 5740 5760 5904 6048 6144 6480 6560 6642 6720 6724 6804 6888 6912 7168 7380 7560 7680 7749 7776 7872 8064 8192 8405 8505 8610 8640 8856 8960 9072 9184 9216 9720 9840 9963 10080 10086 10240 10332 10368 10496 10752 11070 11340 11480 11520 11767 11808 12096 12288 12915 12960 13120 13284 13440 13448 13608 13776 13824 14336 14760 15120 15129 15360 15498 15552 15744 16128 16384 16605 16810 17010 17220 17280 17712 17920 18144 18368 18432 19440 19680 19926 20160 20172 20480 20664 20736 20992 21504 22140 22680 22960 23040 23247 23534 23616 24192 24576 25215 25830 25920 26240 26568 26880 26896 27216 27552 27648 28672 29520 30240 30258 30720 30996 31104 31488 32256 32768 33210 33620 34020 34440 34560 35301 35424 35840 36288 36736 36864 38745 38880 39360 39852 40320 40344 40960 41328 41472 41984 43008 44280 45360 45387 45920 46080 46494 47068 47232 48384 49152 49815 50430 51660 51840 52480 53136 53760 53792 54432 55104 55296 57344 58835 59040 60480 60516 61440 61992 62208 62976 64512 66420 67240 68040 68880 69120 69741 70602 70848 71680 72576 73472 73728 75645 77490 77760 78720 79704 80640 80688 81920 82656 82944 83968 86016 88560 90720 90774 91840 92160 92988 94136 94464 96768 98304 99630 100860 103320 103680 104960 105903 106272 107520 107584 108864 110208 110592 114688 116235 117670 118080 120960 121032 122880 123984 124416 125952 129024 132840 134480 136080 136161 137760 138240 139482 141204 141696 143360 145152 146944 147456 151290 154980 155520 157440 159408 161280 161376 163840 165312 165888 167936 172032 176505 177120 181440 181548 183680 184320 185976 188272 188928 193536 199260 201720 206640 207360 209920 211806 212544 215040 215168 217728 220416 221184 226935 229376 232470 235340 236160 241920 242064 245760 247968 248832 251904 258048 265680 268960 272160 272322 275520 276480 278964 282408 283392 286720 290304 293888 294912 302580 309960 311040 314880 317709 318816 322560 322752 330624 331776 335872 344064 348705 353010 354240 362880 363096 367360 368640 371952 376544 377856 387072 398520 403440 408483 413280 414720 419840 423612 425088 430080 430336 435456 440832 442368 453870 464940 470680 472320 483840 484128 491520 495936 497664 503808 516096 529515 531360 537920 544320 544644 551040 552960 557928 564816 566784 573440 580608 587776 605160 619920 622080 629760 635418 637632 645120 645504 661248 663552 671744 680805 688128 697410 706020 708480 725760 726192 734720 737280 743904 753088 755712 774144 797040 806880 816966 826560 829440 839680 847224 850176 860160 860672 870912 881664 884736 907740 929880 941360 944640 953127 967680 968256 991872 995328 1007616 1032192 1059030 1062720 1075840 1088640 1089288 1102080 1105920 1115856 1129632 1133568 1146880 1161216 1175552 1210320 1239840 1244160 1259520 1270836 1275264 1290240 1291008 1322496 1327104 1343488 1361610 1394820 1412040 1416960 1451520 1452384 1469440 1474560 1487808 1506176 1511424 1548288 1588545 1594080 1613760 1633932 1653120 1658880 1679360 1694448 1700352 1720320 1721344 1741824 1763328 1815480 1859760 1882720 1889280 1906254 1935360 1936512 1983744 1990656 2015232 2042415 2064384 2118060 2125440 2151680 2177280 2178576 2204160 2211840 2231712 2259264 2267136 2322432 2351104 2420640 2479680 2488320 2519040 2541672 2550528 2580480 2582016 2644992 2654208 2723220 2789640 2824080 2833920 2859381 2903040 2904768 2938880 2975616 3012352 3022848 3096576 3177090 3188160 3227520 3267864 3306240 3317760 3358720 3388896 3400704 3440640 3442688 3483648 3526656 3630960 3719520 3765440 3778560 3812508 3870720 3873024 3967488 3981312 4030464 4084830 4236120 4250880 4303360 4354560 4357152 4408320 4423680 4463424 4518528 4534272 4644864 4702208 4765635 4841280 4959360 4976640 5038080 5083344 5101056 5160960 5164032 5289984 5446440 5579280 5648160 5667840 5718762 5806080 5809536 5877760 5951232 6024704 6045696 6193152 6354180 6376320 6455040 6535728 6612480 6635520 6717440 6777792 6801408 6885376 6967296 7053312 7261920 7439040 7530880 7557120 7625016 7741440 7746048 7934976 7962624 8169660 8472240 8501760 8606720 8709120 8714304 8816640 8926848 9037056 9068544 9289728 9404416 9531270 9682560 9918720 9953280 10076160 10166688 10202112 10321920 10328064 10579968 10892880 11158560 11296320 11335680 11437524 11612160 11619072 11755520 11902464 12049408 12091392 12708360 12752640 12910080 13071456 13224960 13271040 13555584 13602816 13770752 13934592 14106624 14296905 14523840 14878080 15061760 15114240 15250032 15482880 15492096 15869952 16339320 16944480 17003520 17213440 17418240 17428608 17633280 17853696 18074112 18137088 18579456 19062540 19365120 19837440 19906560 20152320 20333376 20404224 20656128 21159936 21785760 22317120 22592640 22671360 22875048 23224320 23238144 23511040 23804928 24098816 25416720 25505280 25820160 26142912 26449920 27111168 27205632 27541504 27869184 28213248 28593810 29047680 29756160 30123520 30228480 30500064 30965760 30984192 31739904 32678640 33888960 34007040 34426880 34836480 34857216 35266560 35707392 36148224 36274176 38125080 38730240 39674880 39813120 40666752 40808448 41312256 42319872 43571520 44634240 45185280 45342720 45750096 46448640 46476288 47022080 47609856 48197632 50833440 51010560 51640320 52285824 52899840 54222336 54411264 55083008 55738368 57187620 58095360 59512320 60247040 60456960 61000128 61968384 63479808 65357280 67777920 68014080 68853760 69672960 69714432 70533120 71414784 72296448 76250160 77460480 79349760 81333504 81616896 82624512 84639744 87143040 89268480 90370560 90685440 91500192 92897280 92952576 95219712 96395264 101666880 102021120 103280640 104571648 105799680 108444672 108822528 114375240 116190720 119024640 120494080 122000256 123936768 126959616 130714560 135555840 136028160 137707520 139345920 139428864 141066240 142829568 144592896 152500320 154920960 158699520 162667008 163233792 165249024 174286080 178536960 180741120 181370880 183000384 185905152 190439424 192790528 203333760 204042240 206561280 209143296 211599360 216889344 228750480 232381440 238049280 240988160 244000512 247873536 253919232 261429120 271111680 272056320 275415040 278691840 278857728 285659136 289185792 305000640 309841920 317399040 325334016 326467584 348572160 357073920 361482240 366000768 371810304 380878848 385581056 406667520 408084480 413122560 418286592 423198720 433778688 457500960 464762880 476098560 481976320 488001024 495747072 522858240 542223360 544112640 557715456 571318272 578371584 610001280 619683840 634798080 650668032 697144320 714147840 722964480 732001536 743620608 761757696 813335040 816168960 826245120 836573184 867557376 915001920 929525760 952197120 963952640 976002048 1045716480 1084446720 1115430912 1142636544 1156743168 1220002560 1239367680 1269596160 1301336064 1394288640 1428295680 1445928960 1464003072 1487241216 1626670080 1632337920 1673146368 1735114752 1830003840 1859051520 1904394240 1927905280 1952004096 2091432960 2168893440 2230861824 2285273088 2440005120 2478735360 2602672128 2788577280 2856591360 2891857920 2928006144 3253340160 3346292736 3470229504 3660007680 3718103040 3808788480 3904008192 4182865920 4337786880 4461723648 4880010240 5205344256 5577154560 5713182720 5783715840 5856012288 6506680320 6692585472 7320015360 7436206080 7808016384 8365731840 8675573760 9760020480 10410688512 11154309120 11426365440 11712024576 13013360640 13385170944 14640030720 15616032768 16731463680 17351147520 19520040960 22308618240 23424049152 26026721280 29280061440 31232065536 33462927360 39040081920 46848098304 52053442560 58560122880 66925854720 78080163840 93696196608 117120245760 156160327680 234240491520 468480983040
• Sum of all divisors σ(n): 1972882416960
• Sum of proper divisors (its aliquot sum) s(n): 1504401433920
• 468480983040 is an abundant number, because the sum of its proper divisors (1504401433920) is greater than itself. Its abundance is 1035920450880

Bases of 468480983040

• Binary: 110110100010011101001001000000000000000₂
• Hexadecimal: 0x6D13A48000
• Base-36: 5Z7THC00

Squares and roots of 468480983040

• 468480983040 squared (468480983040²) is 219474431470124767641600
• 468480983040 cubed (468480983040³) is 102819597407269163536188350398464000
• The square root of 468480983040 is 684456.7064760197
• The cube root of 468480983040 is 7766.5949391925

Scales and comparisons

• 468,480,983,040 seconds is equal to 14,896 years, 12 weeks, 5 days, 14 hours, 24 minutes.
• To count from 1 to 468,480,983,040 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 468480983040 cubic inches would be around 647.2 feet tall.

Recreational maths with 468480983040

• 468480983040 backwards is 040389084864
• 468480983040 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 468480983040's digits is 54
• More coming soon!