34963968000

Names of 34963968000

• Cardinal: 34963968000 can be written as Thirty-four billion, nine hundred sixty-three million, nine hundred sixty-eight thousand.

Scientific notation

• Scientific notation: 3.4963968 × 10¹⁰

Factors of 34963968000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 143

Divisors of 34963968000

• Number of divisors d(n): 832
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 32 34 39 40 48 50 51 52 60 64 65 68 75 78 80 85 96 100 102 103 104 120 125 128 130 136 150 156 160 170 192 195 200 204 206 208 221 240 250 255 256 260 272 300 309 312 320 325 340 375 384 390 400 408 412 416 425 442 480 500 510 512 515 520 544 600 618 624 640 650 663 680 750 768 780 800 816 824 832 850 884 960 975 1000 1020 1024 1030 1040 1088 1105 1200 1236 1248 1275 1280 1300 1326 1339 1360 1500 1536 1545 1560 1600 1625 1632 1648 1664 1700 1751 1768 1920 1950 2000 2040 2048 2060 2080 2125 2176 2210 2400 2472 2496 2550 2560 2575 2600 2652 2678 2720 3000 3072 3090 3120 3200 3250 3264 3296 3315 3328 3400 3502 3536 3840 3900 4000 4017 4080 4096 4120 4160 4250 4352 4420 4800 4875 4944 4992 5100 5120 5150 5200 5253 5304 5356 5440 5525 6000 6144 6180 6240 6375 6400 6500 6528 6592 6630 6656 6695 6800 7004 7072 7680 7725 7800 8000 8034 8160 8240 8320 8500 8704 8755 8840 9600 9750 9888 9984 10200 10240 10300 10400 10506 10608 10712 10880 11050 12000 12288 12360 12480 12750 12800 12875 13000 13056 13184 13260 13312 13390 13600 14008 14144 15360 15450 15600 16000 16068 16320 16480 16575 16640 17000 17408 17510 17680 19200 19500 19776 19968 20085 20400 20480 20600 20800 21012 21216 21424 21760 22100 22763 24000 24720 24960 25500 25600 25750 26000 26112 26265 26368 26520 26624 26780 27200 27625 28016 28288 30720 30900 31200 32000 32136 32640 32960 33150 33280 33475 34000 34816 35020 35360 38400 38625 39000 39552 39936 40170 40800 41200 41600 42024 42432 42848 43520 43775 44200 45526 48000 49440 49920 51000 51200 51500 52000 52224 52530 52736 53040 53248 53560 54400 55250 56032 56576 61440 61800 62400 64000 64272 65280 65920 66300 66560 66950 68000 68289 69632 70040 70720 76800 77250 78000 79104 79872 80340 81600 82400 82875 83200 84048 84864 85696 87040 87550 88400 91052 96000 98880 99840 100425 102000 102400 103000 104000 104448 105060 105472 106080 107120 108800 110500 112064 113152 113815 123600 124800 128000 128544 130560 131325 131840 132600 133120 133900 136000 136578 140080 141440 153600 154500 156000 158208 159744 160680 163200 164800 165750 166400 167375 168096 169728 171392 174080 175100 176800 182104 192000 197760 199680 200850 204000 206000 208000 208896 210120 210944 212160 214240 217600 218875 221000 224128 226304 227630 247200 249600 256000 257088 261120 262650 263680 265200 266240 267800 272000 273156 280160 282880 307200 309000 312000 316416 321360 326400 329600 331500 332800 334750 336192 339456 341445 342784 348160 350200 353600 364208 384000 395520 399360 401700 408000 412000 416000 420240 421888 424320 428480 435200 437750 442000 448256 452608 455260 494400 499200 502125 512000 514176 522240 525300 527360 530400 535600 544000 546312 560320 565760 569075 618000 624000 632832 642720 652800 656625 659200 663000 665600 669500 672384 678912 682890 685568 700400 707200 728416 768000 791040 798720 803400 816000 824000 832000 840480 848640 856960 870400 875500 884000 896512 905216 910520 988800 998400 1004250 1028352 1044480 1050600 1054720 1060800 1071200 1088000 1092624 1120640 1131520 1138150 1236000 1248000 1265664 1285440 1305600 1313250 1318400 1326000 1331200 1339000 1344768 1357824 1365780 1371136 1400800 1414400 1456832 1536000 1582080 1606800 1632000 1648000 1664000 1680960 1697280 1707225 1713920 1740800 1751000 1768000 1793024 1821040 1977600 1996800 2008500 2056704 2101200 2109440 2121600 2142400 2176000 2185248 2241280 2263040 2276300 2472000 2496000 2570880 2611200 2626500 2636800 2652000 2678000 2689536 2715648 2731560 2742272 2801600 2828800 2845375 2913664 3164160 3213600 3264000 3296000 3328000 3361920 3394560 3414450 3427840 3502000 3536000 3586048 3642080 3955200 3993600 4017000 4113408 4202400 4243200 4284800 4352000 4370496 4482560 4526080 4552600 4944000 4992000 5141760 5222400 5253000 5273600 5304000 5356000 5379072 5463120 5484544 5603200 5657600 5690750 5827328 6328320 6427200 6528000 6592000 6656000 6723840 6789120 6828900 6855680 7004000 7072000 7172096 7284160 7910400 8034000 8226816 8404800 8486400 8536125 8569600 8704000 8740992 8965120 9105200 9888000 9984000 10283520 10506000 10547200 10608000 10712000 10758144 10926240 11206400 11315200 11381500 11654656 12854400 13056000 13184000 13447680 13578240 13657800 13711360 14008000 14144000 14568320 15820800 16068000 16453632 16809600 16972800 17072250 17139200 17481984 17930240 18210400 19776000 19968000 20567040 21012000 21216000 21424000 21516288 21852480 22412800 22630400 22763000 23309312 25708800 26112000 26368000 26895360 27315600 27422720 28016000 28288000 29136640 31641600 32136000 33619200 33945600 34144500 34278400 34963968 35860480 36420800 39552000 41134080 42024000 42432000 42848000 43704960 44825600 45526000 46618624 51417600 52736000 53790720 54631200 56032000 56576000 58273280 64272000 67238400 67891200 68289000 68556800 69927936 72841600 79104000 82268160 84048000 84864000 85696000 87409920 89651200 91052000 93237248 102835200 107581440 109262400 112064000 113152000 116546560 128544000 134476800 136578000 137113600 139855872 145683200 158208000 168096000 169728000 171392000 174819840 179302400 182104000 205670400 218524800 224128000 233093120 257088000 268953600 273156000 279711744 291366400 336192000 339456000 342784000 349639680 364208000 411340800 437049600 448256000 466186240 514176000 537907200 546312000 582732800 672384000 685568000 699279360 728416000 874099200 896512000 1028352000 1092624000 1165465600 1344768000 1398558720 1456832000 1748198400 2056704000 2185248000 2330931200 2689536000 2913664000 3496396800 4370496000 5827328000 6992793600 8740992000 11654656000 17481984000 34963968000
• Sum of all divisors σ(n): 133953910272
• Sum of proper divisors (its aliquot sum) s(n): 98989942272
• 34963968000 is an abundant number, because the sum of its proper divisors (98989942272) is greater than itself. Its abundance is 64025974272

Bases of 34963968000

• Binary: 100000100100000000111101000000000000₂
• Hexadecimal: 0x82403D000
• Base-36: G28N6DC

Squares and roots of 34963968000

• 34963968000 squared (34963968000²) is 1222479058305024000000
• 34963968000 cubed (34963968000³) is 42742718675246993375232000000000
• The square root of 34963968000 is 186986.5449704871
• The cube root of 34963968000 is 3269.9434194215

Scales and comparisons

• 34,963,968,000 seconds is equal to 1,111 years, 38 weeks, 5 days, 13 hours, 20 minutes.
• To count from 1 to 34,963,968,000 would take you about two thousand, two 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 34963968000 cubic inches would be around 272.5 feet tall.

Recreational maths with 34963968000

• 34963968000 backwards is 00086936943
• 34963968000 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 34963968000's digits is 48
• More coming soon!