168261971968000

Names of 168261971968000

• Cardinal: 168261971968000 can be written as One hundred sixty-eight trillion, two hundred sixty-one billion, nine hundred seventy-one million, nine hundred sixty-eight thousand.

Scientific notation

• Scientific notation: 1.68261971968 × 10¹⁴

Factors of 168261971968000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 855

Divisors of 168261971968000

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 125 128 148 160 185 200 250 256 296 320 370 400 500 512 592 640 740 800 811 925 1000 1024 1184 1280 1369 1480 1600 1622 1850 2000 2048 2368 2560 2738 2960 3200 3244 3700 4000 4055 4096 4625 4736 5120 5476 5920 6400 6488 6845 7400 8000 8110 8192 9250 9472 10240 10952 11840 12800 12976 13690 14800 16000 16220 16384 18500 18944 20275 20480 21904 23680 25600 25952 27380 29600 30007 32000 32440 32768 34225 37000 37888 40550 40960 43808 47360 50653 51200 51904 54760 59200 60014 64000 64880 68450 74000 75776 81100 81920 87616 94720 101306 101375 102400 103808 109520 118400 120028 128000 129760 136900 148000 150035 151552 162200 163840 171125 175232 189440 202612 202750 204800 207616 219040 236800 240056 253265 256000 259520 273800 296000 300070 303104 324400 342250 350464 378880 405224 405500 409600 415232 438080 473600 480112 506530 512000 519040 547600 592000 600140 606208 648800 684500 700928 750175 757760 810448 811000 819200 830464 876160 947200 960224 1013060 1024000 1038080 1095200 1110259 1184000 1200280 1212416 1266325 1297600 1369000 1401856 1500350 1515520 1620896 1622000 1660928 1752320 1894400 1920448 2026120 2048000 2076160 2190400 2220518 2368000 2400560 2532650 2595200 2738000 2803712 3000700 3031040 3241792 3244000 3321856 3504640 3750875 3788800 3840896 4052240 4096000 4152320 4380800 4441036 4736000 4801120 5065300 5190400 5476000 5551295 5607424 6001400 6062080 6331625 6483584 6488000 6643712 7009280 7501750 7577600 7681792 8104480 8304640 8761600 8882072 9472000 9602240 10130600 10380800 10952000 11102590 11214848 12002800 12663250 12967168 12976000 13287424 14018560 15003500 15155200 15363584 16208960 16609280 17523200 17764144 18944000 19204480 20261200 20761600 21904000 22205180 22429696 24005600 25326500 25934336 25952000 26574848 27756475 28037120 30007000 30310400 30727168 32417920 33218560 35046400 35528288 37888000 38408960 40522400 41079583 41523200 43808000 44410360 44859392 48011200 50653000 51868672 51904000 55512950 56074240 60014000 61454336 64835840 66437120 70092800 71056576 75776000 76817920 81044800 82159166 83046400 87616000 88820720 96022400 101306000 103737344 103808000 111025900 112148480 120028000 122908672 129671680 132874240 138782375 140185600 142113152 151552000 153635840 162089600 164318332 166092800 175232000 177641440 192044800 202612000 205397915 207474688 207616000 222051800 224296960 240056000 245817344 259343360 277564750 280371200 284226304 307271680 324179200 328636664 332185600 350464000 355282880 384089600 405224000 410795830 414949376 415232000 444103600 480112000 491634688 518686720 555129500 560742400 568452608 614543360 648358400 657273328 664371200 700928000 710565760 768179200 810448000 821591660 829898752 830464000 888207200 960224000 983269376 1026989575 1037373440 1110259000 1121484800 1136905216 1229086720 1296716800 1314546656 1401856000 1421131520 1536358400 1620896000 1643183320 1659797504 1660928000 1776414400 1920448000 2053979150 2074746880 2220518000 2273810432 2458173440 2593433600 2629093312 2803712000 2842263040 3072716800 3241792000 3286366640 3321856000 3552828800 3840896000 4107958300 4149493760 4441036000 4547620864 4916346880 5134947875 5186867200 5258186624 5607424000 5684526080 6145433600 6483584000 6572733280 7105657600 7681792000 8215916600 8298987520 8882072000 9095241728 10269895750 10373734400 10516373248 11369052160 12290867200 12967168000 13145466560 14211315200 15363584000 16431833200 17764144000 18190483456 20539791500 20747468800 21032746496 22738104320 24581734400 25934336000 26290933120 28422630400 30727168000 32863666400 35528288000 36380966912 41079583000 41494937600 42065492992 45476208640 51868672000 52581866240 56845260800 61454336000 65727332800 71056576000 82159166000 84130985984 90952417280 103737344000 105163732480 113690521600 122908672000 131454665600 142113152000 164318332000 168261971968 181904834560 207474688000 210327464960 227381043200 262909331200 284226304000 328636664000 336523943936 420654929920 454762086400 525818662400 568452608000 657273328000 673047887872 841309859840 909524172800 1051637324800 1136905216000 1314546656000 1346095775744 1682619719680 2103274649600 2273810432000 2629093312000 3365239439360 4206549299200 4547620864000 5258186624000 6730478878720 8413098598400 10516373248000 16826197196800 21032746496000 33652394393600 42065492992000 84130985984000 168261971968000
• Sum of all divisors σ(n): 432173462011200
• Sum of proper divisors (its aliquot sum) s(n): 263911490043200
• 168261971968000 is an abundant number, because the sum of its proper divisors (263911490043200) is greater than itself. Its abundance is 95649518075200

Bases of 168261971968000

• Binary: 100110010000100010001011000100011000000000000000₂
• Hexadecimal: 0x99088B118000
• Base-36: 1NN6HDPPTS

Squares and roots of 168261971968000

• 168261971968000 squared (168261971968000²) is 28312091210560017793024000000
• 168261971968000 cubed (168261971968000³) is 4763848297626708899471385513951232000000000
• The square root of 168261971968000 is 12971583.2483162979
• The cube root of 168261971968000 is 55207.1496165303

Scales and comparisons

• 168,261,971,968,000 seconds is equal to 5,350,210 years, 12 weeks, 3 days, 9 hours, 46 minutes, 40 seconds.
• To count from 1 to 168,261,971,968,000 would take you about thirteen million, three hundred seventy-five thousand, five hundred twenty-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 168261971968000 cubic inches would be around 4600.6 feet tall.

Recreational maths with 168261971968000

• 168261971968000 backwards is 000869179162861
• 168261971968000 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 168261971968000's digits is 64
• More coming soon!