468825477120000

Names of 468825477120000

• Cardinal: 468825477120000 can be written as Four hundred sixty-eight trillion, eight hundred twenty-five billion, four hundred seventy-seven million, one hundred twenty thousand.

Scientific notation

• Scientific notation: 4.6882547712 × 10¹⁴

Factors of 468825477120000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 28
• Sum of prime factors: 41

Divisors of 468825477120000

• Number of divisors d(n): 7680
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 20 21 22 24 25 26 27 28 30 32 33 35 36 39 40 42 44 45 48 49 50 52 54 55 56 60 63 64 65 66 70 72 75 77 78 80 84 88 90 91 96 98 99 100 104 105 108 110 112 117 120 121 125 126 128 130 132 135 140 143 144 147 150 154 156 160 165 168 175 176 180 182 189 192 195 196 198 200 208 210 216 220 224 225 231 234 240 242 245 250 252 256 260 264 270 273 275 280 286 288 294 297 300 308 312 315 320 325 330 336 350 351 352 360 363 364 375 378 384 385 390 392 396 400 416 420 429 432 440 441 448 450 455 462 468 480 484 490 495 500 504 512 520 525 528 539 540 546 550 560 572 576 585 588 594 600 605 616 624 625 630 637 640 650 660 672 675 693 700 702 704 715 720 726 728 735 750 756 768 770 780 784 792 800 819 825 832 840 847 858 864 875 880 882 896 900 910 924 936 945 960 968 975 980 990 1000 1001 1008 1024 1040 1050 1056 1078 1080 1089 1092 1100 1120 1125 1144 1152 1155 1170 1176 1188 1200 1210 1225 1232 1248 1250 1260 1274 1280 1287 1300 1320 1323 1331 1344 1350 1365 1375 1386 1400 1404 1408 1430 1440 1452 1456 1470 1485 1500 1512 1536 1540 1560 1568 1573 1575 1584 1600 1617 1625 1638 1650 1664 1680 1694 1716 1728 1750 1755 1760 1764 1792 1800 1815 1820 1848 1872 1875 1890 1911 1920 1925 1936 1950 1960 1980 2000 2002 2016 2048 2079 2080 2100 2112 2145 2156 2160 2178 2184 2200 2205 2240 2250 2275 2288 2304 2310 2340 2352 2376 2400 2420 2450 2457 2464 2475 2496 2500 2520 2541 2548 2560 2574 2600 2625 2640 2646 2662 2688 2695 2700 2730 2750 2772 2800 2808 2816 2860 2880 2904 2912 2925 2940 2970 3000 3003 3024 3025 3072 3080 3120 3136 3146 3150 3168 3185 3200 3234 3250 3267 3276 3300 3328 3360 3375 3388 3432 3456 3465 3500 3510 3520 3528 3575 3584 3600 3630 3640 3675 3696 3744 3750 3780 3822 3840 3850 3861 3872 3900 3920 3960 3993 4000 4004 4032 4095 4096 4125 4158 4160 4200 4224 4235 4290 4312 4320 4356 4368 4375 4400 4410 4480 4500 4550 4576 4608 4620 4680 4704 4719 4725 4752 4800 4840 4851 4875 4900 4914 4928 4950 4992 5000 5005 5040 5082 5096 5120 5148 5200 5250 5280 5292 5324 5376 5390 5400 5445 5460 5500 5544 5600 5616 5625 5632 5720 5733 5760 5775 5808 5824 5850 5880 5929 5940 6000 6006 6048 6050 6125 6144 6160 6240 6272 6292 6300 6336 6370 6400 6435 6468 6500 6534 6552 6600 6615 6655 6656 6720 6750 6776 6825 6864 6875 6912 6930 7000 7007 7020 7040 7056 7150 7168 7200 7260 7280 7350 7392 7425 7488 7500 7560 7623 7644 7680 7700 7722 7744 7800 7840 7865 7875 7920 7986 8000 8008 8064 8085 8125 8190 8192 8250 8316 8320 8400 8448 8470 8580 8624 8640 8712 8736 8750 8775 8800 8820 8960 9000 9009 9075 9100 9152 9216 9240 9317 9360 9408 9438 9450 9504 9555 9600 9625 9680 9702 9750 9800 9828 9856 9900 9984 10000 10010 10080 10164 10192 10240 10296 10395 10400 10500 10560 10584 10648 10725 10752 10780 10800 10890 10920 11000 11011 11025 11088 11200 11232 11250 11264 11375 11440 11466 11520 11550 11616 11648 11700 11760 11858 11880 11979 12000 12012 12096 12100 12250 12285 12288 12320 12375 12480 12544 12584 12600 12672 12705 12740 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• Sum of all divisors σ(n): 2391818920444800
• Sum of proper divisors (its aliquot sum) s(n): 1922993443324800
• 468825477120000 is an abundant number, because the sum of its proper divisors (1922993443324800) is greater than itself. Its abundance is 1454167966204800

Bases of 468825477120000

• Binary: 1101010100110010011110000000001101000000000000000₂
• Hexadecimal: 0x1AA64F0068000
• Base-36: 4M6NG8D1C0

Squares and roots of 468825477120000

• 468825477120000 squared (468825477120000²) is 219797327996795643494400000000
• 468825477120000 cubed (468825477120000³) is 103046587167798851392399504048128000000000000
• The square root of 468825477120000 is 21652378.0938722755
• The cube root of 468825477120000 is 77684.9817577225

Scales and comparisons

• 468,825,477,120,000 seconds is equal to 14,907,200 years.
• To count from 1 to 468,825,477,120,000 would take you about thirty-seven million, two hundred sixty-eight thousand 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 468825477120000 cubic inches would be around 6473.7 feet tall.

Recreational maths with 468825477120000

• 468825477120000 backwards is 000021774528864
• 468825477120000 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 468825477120000's digits is 54
• More coming soon!