981968943513600000

Names of 981968943513600000

• Cardinal: 981968943513600000 can be written as Nine hundred eighty-one quadrillion, nine hundred sixty-eight trillion, nine hundred forty-three billion, five hundred thirteen million, six hundred thousand.

Scientific notation

• Scientific notation: 9.819689435136 × 10¹⁷

Factors of 981968943513600000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 32
• Sum of prime factors: 109

Divisors of 981968943513600000

• Number of divisors d(n): 7200
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 28 30 32 35 36 38 40 42 45 48 50 56 57 60 63 64 70 72 73 75 76 80 84 90 95 96 100 105 112 114 120 125 126 128 133 140 144 146 150 152 160 168 171 175 180 190 192 200 210 219 224 225 228 240 250 252 256 266 280 285 288 292 300 304 315 320 336 342 350 360 361 365 375 380 384 399 400 420 438 448 450 456 475 480 500 504 511 512 525 532 560 570 576 584 600 608 625 630 640 657 665 672 684 700 720 722 730 750 760 768 798 800 840 855 875 876 896 900 912 950 960 1000 1008 1022 1024 1050 1064 1083 1095 1120 1125 1140 1152 1168 1197 1200 1216 1250 1260 1280 1314 1330 1344 1368 1387 1400 1425 1440 1444 1460 1500 1520 1533 1536 1575 1596 1600 1680 1710 1750 1752 1792 1800 1805 1824 1825 1875 1900 1920 1995 2000 2016 2044 2048 2100 2128 2166 2190 2240 2250 2280 2304 2336 2375 2394 2400 2432 2500 2520 2527 2555 2560 2625 2628 2660 2688 2736 2774 2800 2850 2880 2888 2920 3000 3040 3066 3072 3125 3150 3192 3200 3249 3285 3325 3360 3420 3500 3504 3584 3600 3610 3648 3650 3750 3800 3840 3990 4000 4032 4088 4096 4161 4200 4256 4275 4332 4375 4380 4480 4500 4560 4599 4608 4672 4750 4788 4800 4864 5000 5040 5054 5110 5120 5250 5256 5320 5376 5415 5472 5475 5548 5600 5625 5700 5760 5776 5840 5985 6000 6080 6132 6144 6250 6300 6384 6400 6498 6570 6650 6720 6840 6859 6935 7000 7008 7125 7168 7200 7220 7296 7300 7500 7581 7600 7665 7680 7875 7980 8000 8064 8176 8192 8322 8400 8512 8550 8664 8750 8760 8960 9000 9025 9120 9125 9198 9216 9344 9375 9500 9576 9600 9709 9728 9975 10000 10080 10108 10220 10240 10500 10512 10640 10752 10830 10944 10950 11096 11200 11250 11400 11520 11552 11680 11875 11970 12000 12160 12264 12288 12483 12500 12600 12635 12768 12775 12800 12996 13125 13140 13300 13440 13680 13718 13870 14000 14016 14250 14336 14400 14440 14592 14600 15000 15162 15200 15330 15360 15750 15960 16000 16128 16245 16352 16384 16425 16625 16644 16800 17024 17100 17328 17500 17520 17920 18000 18050 18240 18250 18396 18432 18688 18750 19000 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• Sum of all divisors σ(n): 4336028432767231200
• Sum of proper divisors (its aliquot sum) s(n): 3354059489253631200
• 981968943513600000 is an abundant number, because the sum of its proper divisors (3354059489253631200) is greater than itself. Its abundance is 2372090545740031200

Bases of 981968943513600000

• Binary: 110110100000101001111000110100101010100110000000000000000000₂
• Hexadecimal: 0xDA0A78D2A980000
• Base-36: 7GKUXT017GG0

Squares and roots of 981968943513600000

• 981968943513600000 squared (981968943513600000²) is 964263006025215747513384960000000000
• 981968943513600000 cubed (981968943513600000³) is 946876325295829218827224315446171795456000000000000000
• The square root of 981968943513600000 is 990943461.3102808097
• The cube root of 981968943513600000 is 993953.1572299201

Scales and comparisons

• 981,968,943,513,600,000 seconds is equal to 31,223,574,974 years, 18 weeks, 4 days, 16 hours.
• To count from 1 to 981,968,943,513,600,000 would take you about ninety-three billion, six hundred seventy million, seven hundred twenty-four thousand, nine hundred twenty-three 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 981968943513600000 cubic inches would be around 82829.4 feet tall.

Recreational maths with 981968943513600000

• 981968943513600000 backwards is 000006315349869189
• 981968943513600000 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 981968943513600000's digits is 72
• More coming soon!