428989478400000

Names of 428989478400000

• Cardinal: 428989478400000 can be written as Four hundred twenty-eight trillion, nine hundred eighty-nine billion, four hundred seventy-eight million, four hundred thousand.

Scientific notation

• Scientific notation: 4.289894784 × 10¹⁴

Factors of 428989478400000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 26
• Sum of prime factors: 114

Divisors of 428989478400000

• Number of divisors d(n): 7488
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 19 20 21 24 25 27 28 30 32 34 35 36 38 40 42 45 48 50 51 54 56 57 60 61 63 64 68 70 72 75 76 80 81 84 85 90 95 96 100 102 105 108 112 114 119 120 122 125 126 128 133 135 136 140 144 150 152 153 160 162 168 170 171 175 180 183 189 190 192 200 204 210 216 224 225 228 238 240 243 244 250 252 255 256 266 270 272 280 285 288 300 304 305 306 315 320 323 324 336 340 342 350 357 360 366 375 378 380 384 399 400 405 408 420 425 427 432 448 450 456 459 475 476 480 486 488 500 504 510 512 513 525 532 540 544 549 560 567 570 576 595 600 608 610 612 625 630 640 646 648 665 672 675 680 684 700 714 720 732 750 756 760 765 768 798 800 810 816 840 850 854 855 864 875 896 900 912 915 918 945 950 952 960 969 972 976 1000 1008 1020 1024 1026 1037 1050 1064 1071 1080 1088 1098 1120 1125 1134 1140 1152 1159 1190 1197 1200 1215 1216 1220 1224 1250 1260 1275 1280 1281 1292 1296 1330 1344 1350 1360 1368 1377 1400 1425 1428 1440 1464 1500 1512 1520 1525 1530 1536 1539 1575 1596 1600 1615 1620 1632 1647 1680 1700 1701 1708 1710 1728 1750 1785 1792 1800 1824 1830 1836 1875 1890 1900 1904 1920 1938 1944 1952 1995 2000 2016 2025 2040 2048 2052 2074 2100 2125 2128 2135 2142 2160 2176 2196 2240 2250 2261 2268 2280 2295 2304 2318 2375 2380 2394 2400 2430 2432 2440 2448 2500 2520 2550 2560 2562 2565 2584 2592 2625 2660 2688 2700 2720 2736 2745 2754 2800 2835 2850 2856 2880 2907 2928 2975 3000 3024 3040 3050 3060 3072 3078 3111 3125 3150 3192 3200 3213 3230 3240 3264 3294 3325 3360 3375 3400 3402 3416 3420 3456 3477 3500 3570 3584 3591 3600 3648 3660 3672 3750 3780 3800 3808 3825 3840 3843 3876 3888 3904 3990 4000 4032 4050 4080 4096 4104 4131 4148 4200 4250 4256 4270 4275 4284 4320 4352 4375 4392 4480 4500 4522 4536 4560 4575 4590 4608 4617 4636 4725 4750 4760 4788 4800 4845 4860 4864 4880 4896 4941 5000 5040 5100 5120 5124 5130 5168 5184 5185 5250 5320 5355 5376 5400 5440 5472 5490 5508 5600 5625 5670 5700 5712 5760 5795 5814 5856 5950 5985 6000 6048 6075 6080 6100 6120 6144 6156 6222 6250 6300 6375 6384 6400 6405 6426 6460 6480 6528 6588 6650 6720 6750 6783 6800 6804 6832 6840 6885 6912 6954 7000 7125 7140 7168 7182 7200 7259 7296 7320 7344 7500 7560 7600 7616 7625 7650 7680 7686 7695 7752 7776 7808 7875 7980 8000 8064 8075 8100 8113 8160 8208 8235 8262 8296 8400 8500 8505 8512 8540 8550 8568 8640 8704 8721 8750 8784 8925 8960 9000 9044 9072 9120 9150 9180 9216 9234 9272 9333 9375 9450 9500 9520 9576 9600 9639 9690 9720 9728 9760 9792 9882 9975 10000 10080 10125 10200 10240 10248 10260 10336 10368 10370 10431 10500 10625 10640 10675 10710 10752 10773 10800 10880 10944 10980 11016 11200 11250 11305 11340 11400 11424 11475 11520 11529 11590 11628 11712 11875 11900 11970 12000 12096 12150 12160 12200 12240 12288 12312 12444 12500 12600 12750 12768 12800 12810 12825 12852 12920 12960 13056 13125 13176 13300 13440 13500 13566 13600 13608 13664 13680 13725 13770 13824 13908 14000 14175 14250 14280 14336 14364 14400 14518 14535 14592 14640 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71498246400000 85797895680000 107247369600000 142996492800000 214494739200000 428989478400000
• Sum of all divisors σ(n): 2079479894768640
• Sum of proper divisors (its aliquot sum) s(n): 1650490416368640
• 428989478400000 is an abundant number, because the sum of its proper divisors (1650490416368640) is greater than itself. Its abundance is 1221500937968640

Bases of 428989478400000

• Binary: 1100001100010100111100101011110001111000000000000₂
• Hexadecimal: 0x18629E578F000
• Base-36: 482B1N9C00

Squares and roots of 428989478400000

• 428989478400000 squared (428989478400000²) is 184031972577904066560000000000
• 428989478400000 cubed (428989478400000³) is 78947779925118168878813282304000000000000000
• The square root of 428989478400000 is 20712061.1818331591
• The cube root of 428989478400000 is 75419.2507373117

Scales and comparisons

• 428,989,478,400,000 seconds is equal to 13,640,538 years, 24 weeks.
• To count from 1 to 428,989,478,400,000 would take you about thirty-four million, one hundred one thousand, three hundred forty-six 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 428989478400000 cubic inches would be around 6284.9 feet tall.

Recreational maths with 428989478400000

• 428989478400000 backwards is 000004874989824
• 428989478400000 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 428989478400000's digits is 63
• More coming soon!