480013324800

Names of 480013324800

• Cardinal: 480013324800 can be written as Four hundred eighty billion, thirteen million, three hundred twenty-four thousand, eight hundred.

Scientific notation

• Scientific notation: 4.800133248 × 10¹¹

Factors of 480013324800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 1177

Divisors of 480013324800

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 31 32 38 40 48 50 57 60 62 64 75 76 80 93 95 96 100 114 120 124 128 150 152 155 160 186 190 192 200 228 240 248 256 285 300 304 310 320 361 372 380 384 400 456 465 475 480 496 512 570 589 600 608 620 640 722 744 760 768 775 800 912 930 950 960 992 1083 1117 1140 1178 1200 1216 1240 1280 1425 1444 1488 1520 1536 1550 1600 1767 1805 1824 1860 1900 1920 1984 2166 2234 2280 2325 2356 2400 2432 2480 2560 2850 2888 2945 2976 3040 3100 3200 3351 3534 3610 3648 3720 3800 3840 3968 4332 4468 4560 4650 4712 4800 4864 4960 5415 5585 5700 5776 5890 5952 6080 6200 6400 6702 7068 7220 7296 7440 7600 7680 7936 8664 8835 8936 9025 9120 9300 9424 9600 9728 9920 10830 11170 11191 11400 11552 11780 11904 12160 12400 12800 13404 14136 14440 14592 14725 14880 15200 15872 16755 17328 17670 17872 18050 18240 18600 18848 19200 19840 21223 21660 22340 22382 22800 23104 23560 23808 24320 24800 26808 27075 27925 28272 28880 29184 29450 29760 30400 33510 33573 34627 34656 35340 35744 36100 36480 37200 37696 38400 39680 42446 43320 44175 44680 44764 45600 46208 47120 47616 48640 49600 53616 54150 55850 55955 56544 57760 58900 59520 60800 63669 67020 67146 69254 69312 70680 71488 72200 72960 74400 75392 79360 83775 84892 86640 88350 89360 89528 91200 92416 94240 99200 103881 106115 107232 108300 111700 111910 113088 115520 117800 119040 121600 127338 134040 134292 138508 138624 141360 142976 144400 145920 148800 150784 167550 167865 169784 173135 173280 176700 178720 179056 182400 184832 188480 198400 207762 212230 214464 216600 223400 223820 226176 231040 235600 238080 243200 254676 268080 268584 277016 277248 279775 282720 285952 288800 297600 301568 318345 335100 335730 339568 346270 346560 353400 357440 358112 364800 376960 396800 403237 415524 424460 428928 433200 446800 447640 452352 462080 471200 509352 519405 530575 536160 537168 554032 554496 559550 565440 571904 577600 595200 636690 657913 670200 671460 679136 692540 693120 706800 714880 716224 729600 753920 806474 831048 839325 848920 857856 865675 866400 893600 895280 904704 924160 942400 1018704 1038810 1061150 1072320 1074336 1108064 1119100 1130880 1155200 1190400 1209711 1273380 1315826 1340400 1342920 1358272 1385080 1386240 1413600 1429760 1432448 1507840 1591725 1612948 1662096 1678650 1697840 1715712 1731350 1732800 1787200 1790560 1884800 1973739 2016185 2037408 2077620 2122300 2144640 2148672 2216128 2238200 2261760 2310400 2419422 2546760 2597025 2631652 2680800 2685840 2716544 2770160 2772480 2827200 2859520 2864896 3183450 3225896 3289565 3324192 3357300 3395680 3462700 3465600 3574400 3581120 3769600 3947478 4032370 4074816 4155240 4244600 4289280 4297344 4432256 4476400 4523520 4620800 4838844 5093520 5194050 5263304 5361600 5371680 5433088 5540320 5654400 5729792 6048555 6366900 6451792 6579130 6648384 6714600 6791360 6925400 6931200 7148800 7162240 7539200 7894956 8064740 8149632 8310480 8489200 8578560 8594688 8864512 8952800 9677688 9868695 10080925 10187040 10388100 10526608 10723200 10743360 10866176 11080640 11308800 12097110 12500347 12733800 12903584 13158260 13296768 13429200 13582720 13850800 13862400 14297600 14324480 15789912 16129480 16299264 16447825 16620960 16978400 17189376 17729024 17905600 19355376 19737390 20161850 20374080 20776200 21053216 21446400 21486720 22161280 22617600 24194220 25000694 25467600 25807168 26316520 26593536 26858400 27165440 27701600 28648960 30242775 31579824 32258960 32598528 32895650 33241920 33956800 35811200 37501041 38710752 39474780 40323700 40748160 41552400 42106432 42892800 42973440 44322560 48388440 49343475 50001388 50935200 51614336 52633040 53187072 53716800 54330880 55403200 60485550 62501735 63159648 64517920 65791300 66483840 67913600 71622400 75002082 77421504 78949560 80647400 81496320 83104800 84212864 85946880 88645120 96776880 98686950 100002776 101870400 103228672 105266080 107433600 110806400 120971100 125003470 126319296 129035840 131582600 132967680 135827200 143244800 150004164 154843008 157899120 161294800 162992640 166209600 168425728 187505205 193553760 197373900 200005552 203740800 206457344 210532160 214867200 221612800 241942200 250006940 252638592 258071680 263165200 265935360 271654400 300008328 309686016 312508675 315798240 322589600 332419200 336851456 375010410 387107520 394747800 400011104 407481600 421064320 429734400 443225600 483884400 500013880 505277184 516143360 526330400 600016656 619372032 625017350 631596480 645179200 664838400 750020820 774215040 789495600 800022208 814963200 842128640 937526025 967768800 1000027760 1010554368 1032286720 1052660800 1200033312 1250034700 1263192960 1290358400 1329676800 1500041640 1548430080 1578991200 1600044416 1684257280 1875052050 1935537600 2000055520 2105321600 2400066624 2500069400 2526385920 2580716800 3000083280 3096860160 3157982400 3200088832 3750104100 3871075200 4000111040 4210643200 4800133248 5000138800 5052771840 5161433600 6000166560 6315964800 6400177664 7500208200 7742150400 8000222080 8421286400 9600266496 10000277600 12000333120 12631929600 15000416400 15484300800 16000444160 19200532992 20000555200 24000666240 25263859200 30000832800 32000888320 40001110400 48001332480 60001665600 80002220800 96002664960 120003331200 160004441600 240006662400 480013324800
• Sum of all divisors σ(n): 1729075974912
• Sum of proper divisors (its aliquot sum) s(n): 1249062650112
• 480013324800 is an abundant number, because the sum of its proper divisors (1249062650112) is greater than itself. Its abundance is 769049325312

Bases of 480013324800

• Binary: 110111111000011000001100001001000000000₂
• Hexadecimal: 0x6FC3061200
• Base-36: 64IJJFUO

Squares and roots of 480013324800

• 480013324800 squared (480013324800²) is 230412791985550295040000
• 480013324800 cubed (480013324800³) is 110601210357434790679771348992000000
• The square root of 480013324800 is 692829.9393068981
• The cube root of 480013324800 is 7829.8077328179

Scales and comparisons

• 480,013,324,800 seconds is equal to 15,262 years, 48 weeks, 5 days, 18 hours, 40 minutes.
• To count from 1 to 480,013,324,800 would take you about thirty thousand, five hundred twenty-five 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 480013324800 cubic inches would be around 652.5 feet tall.

Recreational maths with 480013324800

• 480013324800 backwards is 008423310084
• The number of decimal digits it has is: 12
• The sum of 480013324800's digits is 33
• More coming soon!