105712128000

Names of 105712128000

• Cardinal: 105712128000 can be written as One hundred five billion, seven hundred twelve million, one hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 1.05712128 × 10¹¹

Factors of 105712128000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 2559

Divisors of 105712128000

• Number of divisors d(n): 520
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 125 128 135 144 150 160 162 180 192 200 216 225 240 250 256 270 288 300 320 324 360 375 384 400 405 432 450 480 500 512 540 576 600 640 648 675 720 750 768 800 810 864 900 960 1000 1024 1080 1125 1152 1200 1280 1296 1350 1440 1500 1536 1600 1620 1728 1800 1920 2000 2025 2048 2160 2250 2304 2400 2549 2560 2592 2700 2880 3000 3072 3200 3240 3375 3456 3600 3840 4000 4050 4096 4320 4500 4608 4800 5098 5120 5184 5400 5760 6000 6144 6400 6480 6750 6912 7200 7647 7680 8000 8100 8640 9000 9216 9600 10125 10196 10240 10368 10800 11520 12000 12288 12745 12800 12960 13500 13824 14400 15294 15360 16000 16200 17280 18000 18432 19200 20250 20392 20480 20736 21600 22941 23040 24000 25490 25600 25920 27000 27648 28800 30588 30720 32000 32400 34560 36000 36864 38235 38400 40500 40784 41472 43200 45882 46080 48000 50980 51200 51840 54000 55296 57600 61176 61440 63725 64000 64800 68823 69120 72000 76470 76800 81000 81568 82944 86400 91764 92160 96000 101960 102400 103680 108000 110592 114705 115200 122352 127450 128000 129600 137646 138240 144000 152940 153600 162000 163136 165888 172800 183528 184320 191175 192000 203920 206469 207360 216000 229410 230400 244704 254900 256000 259200 275292 276480 288000 305880 307200 318625 324000 326272 331776 344115 345600 367056 382350 384000 407840 412938 414720 432000 458820 460800 489408 509800 512000 518400 550584 552960 573525 576000 611760 637250 648000 652544 688230 691200 734112 764700 768000 815680 825876 829440 864000 917640 921600 955875 978816 1019600 1032345 1036800 1101168 1147050 1152000 1223520 1274500 1296000 1305088 1376460 1382400 1468224 1529400 1536000 1631360 1651752 1658880 1720575 1728000 1835280 1911750 1957632 2039200 2064690 2073600 2202336 2294100 2304000 2447040 2549000 2592000 2610176 2752920 2764800 2867625 2936448 3058800 3262720 3303504 3441150 3456000 3670560 3823500 3915264 4078400 4129380 4147200 4404672 4588200 4608000 4894080 5098000 5161725 5184000 5220352 5505840 5735250 5872896 6117600 6525440 6607008 6882300 6912000 7341120 7647000 7830528 8156800 8258760 8294400 8602875 8809344 9176400 9788160 10196000 10323450 10368000 10440704 11011680 11470500 11745792 12235200 13050880 13214016 13764600 13824000 14682240 15294000 15661056 16313600 16517520 17205750 17618688 18352800 19576320 20392000 20646900 20736000 22023360 22941000 23491584 24470400 25808625 26101760 26428032 27529200 29364480 30588000 31322112 32627200 33035040 34411500 35237376 36705600 39152640 40784000 41293800 41472000 44046720 45882000 46983168 48940800 51617250 52203520 52856064 55058400 58728960 61176000 65254400 66070080 68823000 70474752 73411200 78305280 81568000 82587600 88093440 91764000 93966336 97881600 103234500 105712128 110116800 117457920 122352000 130508800 132140160 137646000 140949504 146822400 156610560 163136000 165175200 176186880 183528000 195763200 206469000 211424256 220233600 234915840 244704000 261017600 264280320 275292000 281899008 293644800 326272000 330350400 352373760 367056000 391526400 412938000 422848512 440467200 469831680 489408000 528560640 550584000 587289600 652544000 660700800 704747520 734112000 783052800 825876000 845697024 880934400 978816000 1057121280 1101168000 1174579200 1305088000 1321401600 1409495040 1468224000 1651752000 1761868800 1957632000 2114242560 2202336000 2349158400 2642803200 2936448000 3303504000 3523737600 3915264000 4228485120 4404672000 5285606400 5872896000 6607008000 7047475200 8809344000 10571212800 11745792000 13214016000 17618688000 21142425600 26428032000 35237376000 52856064000 105712128000
• Sum of all divisors σ(n): 394263955800
• Sum of proper divisors (its aliquot sum) s(n): 288551827800
• 105712128000 is an abundant number, because the sum of its proper divisors (288551827800) is greater than itself. Its abundance is 182839699800

Bases of 105712128000

• Binary: 1100010011100111011110001000000000000₂
• Hexadecimal: 0x189CEF1000
• Base-36: 1CKA9S00

Squares and roots of 105712128000

• 105712128000 squared (105712128000²) is 11175054006288384000000
• 105712128000 cubed (105712128000³) is 1181338739519670454321152000000000
• The square root of 105712128000 is 325134.0154459389
• The cube root of 105712128000 is 4728.3353623335

Scales and comparisons

• 105,712,128,000 seconds is equal to 3,361 years, 16 weeks, 4 days.
• To count from 1 to 105,712,128,000 would take you about six thousand, seven hundred twenty-two 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 105712128000 cubic inches would be around 394 feet tall.

Recreational maths with 105712128000

• 105712128000 backwards is 000821217501
• 105712128000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 105712128000's digits is 27
• More coming soon!