13122144000

Names of 13122144000

• Cardinal: 13122144000 can be written as Thirteen billion, one hundred twenty-two million, one hundred forty-four thousand.

Scientific notation

• Scientific notation: 1.3122144 × 10¹⁰

Factors of 13122144000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 323

Divisors of 13122144000

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 23 24 25 28 30 32 35 36 40 42 45 46 48 50 56 60 63 64 69 70 72 75 80 84 90 92 96 100 105 112 115 120 125 126 128 138 140 144 150 160 161 168 175 180 184 192 200 207 210 224 225 230 240 250 252 256 276 280 283 288 300 315 320 322 336 345 350 360 368 375 384 400 414 420 448 450 460 480 483 500 504 525 552 560 566 575 576 600 630 640 644 672 690 700 720 736 750 768 800 805 828 840 849 875 896 900 920 960 966 1000 1008 1035 1050 1104 1120 1125 1132 1150 1152 1200 1260 1280 1288 1344 1380 1400 1415 1440 1449 1472 1500 1575 1600 1610 1656 1680 1698 1725 1750 1792 1800 1840 1920 1932 1981 2000 2016 2070 2100 2208 2240 2250 2264 2300 2304 2400 2415 2520 2547 2576 2625 2688 2760 2800 2830 2875 2880 2898 2944 3000 3150 3200 3220 3312 3360 3396 3450 3500 3600 3680 3840 3864 3962 4000 4025 4032 4140 4200 4245 4416 4480 4500 4528 4600 4800 4830 5040 5094 5152 5175 5250 5376 5520 5600 5660 5750 5760 5796 5888 5943 6000 6300 6400 6440 6509 6624 6720 6792 6900 7000 7075 7200 7245 7360 7728 7875 7924 8000 8050 8064 8280 8400 8490 8625 8832 8960 9000 9056 9200 9600 9660 9905 10080 10188 10304 10350 10500 11040 11200 11320 11500 11520 11592 11886 12000 12075 12600 12735 12880 13018 13248 13440 13584 13800 14000 14150 14400 14490 14720 15456 15750 15848 16000 16100 16128 16560 16800 16980 17250 17664 17829 18000 18112 18400 19200 19320 19527 19810 20125 20160 20376 20608 20700 21000 21225 22080 22400 22640 23000 23184 23772 24000 24150 25200 25470 25760 25875 26036 26496 26880 27168 27600 28000 28300 28800 28980 29440 29715 30912 31500 31696 32000 32200 32545 33120 33600 33960 34500 35375 35658 36000 36224 36225 36800 38640 39054 39620 40250 40320 40752 41216 41400 42000 42450 44160 44800 45280 45563 46000 46368 47544 48000 48300 49525 50400 50940 51520 51750 52072 52992 54336 55200 56000 56600 57600 57960 58581 59430 60375 61824 63000 63392 63675 64400 65090 66240 67200 67920 69000 70750 71316 72000 72448 72450 73600 77280 78108 79240 80500 80640 81504 82800 84000 84900 88320 89145 90560 91126 92000 92736 95088 96000 96600 97635 99050 100800 101880 103040 103500 104144 106125 108672 110400 112000 113200 115920 117162 118860 120750 123648 126000 126784 127350 128800 130180 132480 134400 135840 136689 138000 141500 142632 144000 144900 147200 148575 154560 156216 158480 161000 162725 163008 165600 168000 169800 178290 181120 181125 182252 184000 185472 190176 193200 195270 198100 201600 203760 206080 207000 208288 212250 217344 220800 224000 226400 227815 231840 234324 237720 241500 247625 252000 253568 254700 257600 260360 264960 271680 273378 276000 283000 285264 288000 289800 292905 297150 309120 312432 316960 318375 322000 325450 326016 331200 336000 339600 356580 362240 362250 364504 368000 370944 380352 386400 390540 396200 403200 407520 410067 414000 416576 424500 441600 445725 452800 455630 463680 468648 475440 483000 488175 495250 504000 507136 509400 515200 520720 543360 546756 552000 566000 570528 579600 585810 594300 618240 624864 633920 636750 644000 650900 652032 662400 672000 679200 683445 713160 724500 729008 736000 742875 760704 772800 781080 792400 813625 815040 820134 828000 833152 849000 891450 905600 911260 927360 937296 950880 966000 976350 990500 1008000 1018800 1030400 1041440 1086720 1093512 1104000 1132000 1139075 1141056 1159200 1171620 1188600 1249728 1267840 1273500 1288000 1301800 1324800 1358400 1366890 1426320 1449000 1458016 1464525 1485750 1521408 1545600 1562160 1584800 1627250 1630080 1640268 1656000 1666304 1698000 1782900 1811200 1822520 1854720 1874592 1901760 1932000 1952700 1981000 2016000 2037600 2050335 2082880 2187024 2208000 2228625 2264000 2278150 2282112 2318400 2343240 2377200 2440875 2499456 2535680 2547000 2576000 2603600 2716800 2733780 2852640 2898000 2916032 2929050 2971500 3091200 3124320 3169600 3254500 3260160 3280536 3312000 3396000 3417225 3565800 3645040 3749184 3803520 3864000 3905400 3962000 4075200 4100670 4165760 4374048 4457250 4528000 4556300 4564224 4636800 4686480 4754400 4881750 4998912 5094000 5152000 5207200 5433600 5467560 5695375 5705280 5796000 5832064 5858100 5943000 6248640 6339200 6509000 6561072 6624000 6792000 6834450 7131600 7290080 7322625 7498368 7607040 7728000 7810800 7924000 8150400 8201340 8331520 8748096 8914500 9056000 9112600 9273600 9372960 9508800 9763500 10188000 10251675 10414400 10935120 11390750 11410560 11592000 11664128 11716200 11886000 12497280 12678400 13018000 13122144 13584000 13668900 14263200 14580160 14645250 14996736 15456000 15621600 15848000 16300800 16402680 17086125 17496192 17829000 18225200 18745920 19017600 19527000 20376000 20503350 20828800 21870240 22781500 22821120 23184000 23432400 23772000 24994560 26036000 26244288 27168000 27337800 28526400 29160320 29290500 31243200 31696000 32805360 34172250 34992384 35658000 36450400 37491840 38035200 39054000 40752000 41006700 41657600 43740480 45563000 46368000 46864800 47544000 51258375 52072000 52488576 54675600 57052800 58320640 58581000 62486400 63392000 65610720 68344500 71316000 72900800 74983680 78108000 81504000 82013400 87480960 91126000 93729600 95088000 102516750 104144000 104977152 109351200 114105600 117162000 124972800 131221440 136689000 142632000 145801600 156216000 164026800 174961920 182252000 187459200 190176000 205033500 208288000 218702400 234324000 262442880 273378000 285264000 291603200 312432000 328053600 364504000 374918400 410067000 437404800 468648000 524885760 546756000 570528000 624864000 656107200 729008000 820134000 874809600 937296000 1093512000 1312214400 1458016000 1640268000 1874592000 2187024000 2624428800 3280536000 4374048000 6561072000 13122144000
• Sum of all divisors σ(n): 56507802624
• Sum of proper divisors (its aliquot sum) s(n): 43385658624
• 13122144000 is an abundant number, because the sum of its proper divisors (43385658624) is greater than itself. Its abundance is 30263514624

Bases of 13122144000

• Binary: 1100001110001001000000011100000000₂
• Hexadecimal: 0x30E240700
• Base-36: 610L340

Squares and roots of 13122144000

• 13122144000 squared (13122144000²) is 172190663156736000000
• 13122144000 cubed (13122144000³) is 2259510677398184361984000000000
• The square root of 13122144000 is 114551.9270898573
• The cube root of 13122144000 is 2358.6758827117

Scales and comparisons

• 13,122,144,000 seconds is equal to 417 years, 12 weeks, 4 days, 16 hours.
• To count from 1 to 13,122,144,000 would take you about eight hundred thirty-four 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 13122144000 cubic inches would be around 196.6 feet tall.

Recreational maths with 13122144000

• 13122144000 backwards is 00044122131
• 13122144000 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 13122144000's digits is 18
• More coming soon!