9997824000

Names of 9997824000

• Cardinal: 9997824000 can be written as Nine billion, nine hundred ninety-seven million, eight hundred twenty-four thousand.

Scientific notation

• Scientific notation: 9.997824 × 10⁹

Factors of 9997824000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 316

Divisors of 9997824000

• Number of divisors d(n): 416
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 60 64 69 75 80 92 96 100 115 120 125 128 138 150 160 184 192 200 230 240 250 256 276 283 300 320 345 368 375 384 400 460 480 500 512 552 566 575 600 640 690 736 750 768 800 849 920 960 1000 1024 1104 1132 1150 1200 1280 1380 1415 1472 1500 1536 1600 1698 1725 1840 1920 2000 2048 2208 2264 2300 2400 2560 2760 2830 2875 2944 3000 3072 3200 3396 3450 3680 3840 4000 4096 4245 4416 4528 4600 4800 5120 5520 5660 5750 5888 6000 6144 6400 6509 6792 6900 7075 7360 7680 8000 8490 8625 8832 9056 9200 9600 10240 11040 11320 11500 11776 12000 12288 12800 13018 13584 13800 14150 14720 15360 16000 16980 17250 17664 18112 18400 19200 19527 20480 21225 22080 22640 23000 23552 24000 25600 26036 27168 27600 28300 29440 30720 32000 32545 33960 34500 35328 35375 36224 36800 38400 39054 42450 44160 45280 46000 47104 48000 51200 52072 54336 55200 56600 58880 61440 64000 65090 67920 69000 70656 70750 72448 73600 76800 78108 84900 88320 90560 92000 94208 96000 97635 102400 104144 106125 108672 110400 113200 117760 128000 130180 135840 138000 141312 141500 144896 147200 153600 156216 162725 169800 176640 181120 184000 192000 195270 208288 212250 217344 220800 226400 235520 256000 260360 271680 276000 282624 283000 289792 294400 307200 312432 325450 339600 353280 362240 368000 384000 390540 416576 424500 434688 441600 452800 471040 488175 512000 520720 543360 552000 566000 579584 588800 624864 650900 679200 706560 724480 736000 768000 781080 813625 833152 849000 869376 883200 905600 976350 1041440 1086720 1104000 1132000 1159168 1177600 1249728 1301800 1358400 1413120 1448960 1472000 1536000 1562160 1627250 1666304 1698000 1738752 1766400 1811200 1952700 2082880 2173440 2208000 2264000 2355200 2440875 2499456 2603600 2716800 2897920 2944000 3124320 3254500 3332608 3396000 3477504 3532800 3622400 3905400 4165760 4346880 4416000 4528000 4881750 4998912 5207200 5433600 5795840 5888000 6248640 6509000 6665216 6792000 7065600 7244800 7810800 8331520 8693760 8832000 9056000 9763500 9997824 10414400 10867200 11776000 12497280 13018000 13330432 13584000 14489600 15621600 16663040 17387520 17664000 18112000 19527000 19995648 20828800 21734400 24994560 26036000 26660864 27168000 28979200 31243200 33326080 35328000 36224000 39054000 39991296 41657600 43468800 49989120 52072000 54336000 62486400 66652160 72448000 78108000 79982592 83315200 86937600 99978240 104144000 108672000 124972800 133304320 144896000 156216000 166630400 199956480 208288000 217344000 249945600 312432000 333260800 399912960 416576000 434688000 499891200 624864000 666521600 833152000 999782400 1249728000 1666304000 1999564800 2499456000 3332608000 4998912000 9997824000
• Sum of all divisors σ(n): 34837830144
• Sum of proper divisors (its aliquot sum) s(n): 24840006144
• 9997824000 is an abundant number, because the sum of its proper divisors (24840006144) is greater than itself. Its abundance is 14842182144

Bases of 9997824000

• Binary: 1001010011111010101011000000000000₂
• Hexadecimal: 0x253EAB000
• Base-36: 4LCG2DC

Squares and roots of 9997824000

• 9997824000 squared (9997824000²) is 99956484734976000000
• 9997824000 cubed (9997824000³) is 999347342038976692224000000000
• The square root of 9997824000 is 99989.1194080635
• The cube root of 9997824000 is 2154.2784103663

Scales and comparisons

• 9,997,824,000 seconds is equal to 317 years, 46 weeks, 5 days, 13 hours, 20 minutes.
• To count from 1 to 9,997,824,000 would take you about six hundred thirty-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 9997824000 cubic inches would be around 179.5 feet tall.

Recreational maths with 9997824000

• 9997824000 backwards is 0004287999
• 9997824000 is a Harshad number.
• The number of decimal digits it has is: 10
• The sum of 9997824000's digits is 48
• More coming soon!