468150036480000

Names of 468150036480000

• Cardinal: 468150036480000 can be written as Four hundred sixty-eight trillion, one hundred fifty billion, thirty-six million, four hundred eighty thousand.

Scientific notation

• Scientific notation: 4.6815003648 × 10¹⁴

Factors of 468150036480000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 28
• Sum of prime factors: 65

Divisors of 468150036480000

• Number of divisors d(n): 6300
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 27 28 30 31 32 34 35 36 40 42 45 48 50 51 54 56 60 62 63 64 68 70 72 75 80 81 84 85 90 93 96 100 102 105 108 112 119 120 124 125 126 128 135 136 140 144 150 153 155 160 162 168 170 175 180 186 189 192 200 204 210 216 217 224 225 238 240 243 248 250 252 255 256 270 272 279 280 288 289 300 306 310 315 320 324 336 340 350 357 360 372 375 378 384 400 405 408 420 425 432 434 448 450 459 465 476 480 486 496 500 504 510 512 525 527 540 544 558 560 567 576 578 595 600 612 620 625 630 640 648 651 672 675 680 700 714 720 729 744 750 756 765 768 775 800 810 816 837 840 850 864 867 868 875 896 900 918 930 945 952 960 972 992 1000 1008 1020 1024 1050 1054 1071 1080 1085 1088 1116 1120 1125 1134 1152 1156 1190 1200 1215 1224 1240 1250 1260 1275 1280 1296 1302 1344 1350 1360 1377 1395 1400 1428 1440 1445 1458 1488 1500 1512 1530 1536 1550 1575 1581 1600 1620 1632 1674 1680 1700 1701 1728 1734 1736 1750 1785 1792 1800 1836 1860 1875 1890 1904 1920 1944 1953 1984 2000 2016 2023 2025 2040 2048 2100 2108 2125 2142 2160 2170 2176 2232 2240 2250 2268 2295 2304 2312 2325 2380 2400 2430 2448 2480 2500 2511 2520 2550 2560 2592 2601 2604 2625 2635 2688 2700 2720 2754 2790 2800 2835 2856 2880 2890 2916 2975 2976 3000 3024 3060 3072 3100 3150 3162 3200 3213 3240 3255 3264 3348 3360 3375 3400 3402 3456 3468 3472 3500 3570 3584 3600 3645 3672 3689 3720 3750 3780 3808 3825 3840 3875 3888 3906 3968 4000 4032 4046 4050 4080 4096 4131 4185 4200 4216 4250 4284 4320 4335 4340 4352 4375 4464 4480 4500 4536 4590 4608 4624 4650 4725 4743 4760 4800 4860 4896 4960 5000 5022 5040 5100 5103 5120 5184 5202 5208 5250 5270 5355 5376 5400 5425 5440 5508 5580 5600 5625 5670 5712 5760 5780 5832 5859 5950 5952 6000 6048 6069 6075 6120 6144 6200 6300 6324 6375 6400 6426 6480 6510 6528 6696 6720 6750 6800 6804 6885 6912 6936 6944 6975 7000 7140 7168 7200 7225 7290 7344 7378 7440 7500 7533 7560 7616 7650 7680 7750 7776 7803 7812 7875 7905 7936 8000 8064 8092 8100 8160 8192 8262 8370 8400 8432 8500 8505 8568 8640 8670 8680 8704 8750 8925 8928 8959 8960 9000 9072 9180 9216 9248 9300 9450 9486 9520 9600 9639 9720 9765 9792 9920 10000 10044 10080 10115 10125 10200 10206 10240 10368 10404 10416 10500 10540 10625 10710 10752 10800 10850 10880 11016 11067 11160 11200 11250 11340 11424 11475 11520 11560 11625 11664 11718 11900 11904 12000 12096 12138 12150 12240 12288 12393 12400 12555 12600 12648 12750 12800 12852 12960 13005 13020 13056 13125 13175 13392 13440 13500 13600 13608 13770 13824 13872 13888 13950 14000 14175 14229 14280 14336 14400 14450 14580 14688 14756 14875 14880 15000 15066 15120 15232 15300 15360 15500 15552 15606 15624 15750 15810 15872 16000 16065 16128 16184 16200 16275 16320 16384 16524 16740 16800 16864 16875 17000 17010 17136 17280 17340 17360 17408 17500 17577 17850 17856 17918 17920 18000 18144 18207 18225 18360 18432 18445 18496 18600 18900 18972 19040 19125 19200 19278 19375 19440 19530 19584 19840 20000 20088 20160 20230 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• Sum of all divisors σ(n): 2198296243424512
• Sum of proper divisors (its aliquot sum) s(n): 1730146206944512
• 468150036480000 is an abundant number, because the sum of its proper divisors (1730146206944512) is greater than itself. Its abundance is 1261996170464512

Bases of 468150036480000

• Binary: 1101010011100011110101100101000000100000000000000₂
• Hexadecimal: 0x1A9C7ACA04000
• Base-36: 4LY15OG000

Squares and roots of 468150036480000

• 468150036480000 squared (468150036480000²) is 219164456656225330790400000000
• 468150036480000 cubed (468150036480000³) is 102601848378731267428625827233792000000000000
• The square root of 468150036480000 is 21636775.0942694785
• The cube root of 468150036480000 is 77647.6567008899

Scales and comparisons

• 468,150,036,480,000 seconds is equal to 14,885,723 years, 4 weeks.
• To count from 1 to 468,150,036,480,000 would take you about thirty-seven million, two hundred fourteen thousand, three hundred seven 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 468150036480000 cubic inches would be around 6470.6 feet tall.

Recreational maths with 468150036480000

• 468150036480000 backwards is 000084630051864
• 468150036480000 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 468150036480000's digits is 45
• More coming soon!