164414016000

Names of 164414016000

• Cardinal: 164414016000 can be written as One hundred sixty-four billion, four hundred fourteen million, sixteen thousand.

Scientific notation

• Scientific notation: 1.64414016 × 10¹¹

Factors of 164414016000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 586

Divisors of 164414016000

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 90 96 100 104 108 117 120 125 128 130 135 144 150 156 160 169 180 192 195 200 208 216 225 234 240 250 256 260 270 288 300 312 320 325 338 351 360 375 384 390 400 416 432 450 468 480 500 507 512 520 540 563 576 585 600 624 640 650 675 676 702 720 750 768 780 800 832 845 864 900 936 960 975 1000 1014 1040 1080 1125 1126 1152 1170 1200 1248 1280 1300 1350 1352 1404 1440 1500 1521 1536 1560 1600 1625 1664 1689 1690 1728 1755 1800 1872 1920 1950 2000 2028 2080 2160 2250 2252 2304 2340 2400 2496 2535 2560 2600 2700 2704 2808 2815 2880 2925 3000 3042 3120 3200 3250 3328 3375 3378 3380 3456 3510 3600 3744 3840 3900 4000 4056 4160 4225 4320 4500 4504 4563 4608 4680 4800 4875 4992 5067 5070 5200 5400 5408 5616 5630 5760 5850 6000 6084 6240 6400 6500 6656 6750 6756 6760 6912 7020 7200 7319 7488 7605 7680 7800 8000 8112 8320 8445 8450 8640 8775 9000 9008 9126 9360 9600 9750 9984 10134 10140 10400 10800 10816 11232 11260 11520 11700 12000 12168 12480 12675 12800 13000 13500 13512 13520 13824 14040 14075 14400 14625 14638 14976 15201 15210 15600 16000 16224 16640 16890 16900 17280 17550 18000 18016 18252 18720 19200 19500 19968 20268 20280 20800 21125 21600 21632 21957 22464 22520 22815 23040 23400 24000 24336 24960 25335 25350 26000 27000 27024 27040 28080 28150 28800 29250 29276 29952 30402 30420 31200 32000 32448 33280 33780 33800 34560 35100 36000 36032 36504 36595 37440 38025 38400 39000 40536 40560 41600 42225 42250 43200 43264 43875 43914 44928 45040 45630 46800 48000 48672 49920 50670 50700 52000 54000 54048 54080 56160 56300 57600 58500 58552 59904 60804 60840 62400 63375 64000 64896 65871 67560 67600 69120 70200 70375 72000 72064 73008 73190 74880 76005 76050 78000 81072 81120 83200 84450 84500 86400 86528 87750 87828 89856 90080 91260 93600 95147 96000 97344 99840 101340 101400 104000 108000 108096 108160 109785 112320 112600 114075 115200 117000 117104 121608 121680 124800 126675 126750 129792 131742 135120 135200 140400 140750 144000 144128 146016 146380 149760 152010 152100 156000 162144 162240 166400 168900 169000 172800 175500 175656 179712 180160 182520 182975 187200 190125 190294 192000 194688 197613 202680 202800 208000 211125 216000 216192 216320 219570 224640 225200 228150 234000 234208 243216 243360 249600 253350 253500 259584 263484 270240 270400 280800 281500 285441 288000 288256 292032 292760 299520 304020 304200 312000 324288 324480 329355 337800 338000 345600 351000 351312 360320 365040 365950 374400 380025 380250 380588 389376 395226 405360 405600 416000 422250 432000 432384 432640 439140 449280 450400 456300 468000 468416 475735 486432 486720 499200 506700 507000 526968 540480 540800 548925 561600 563000 570375 570882 576000 584064 585520 608040 608400 624000 633375 648576 648960 658710 675600 676000 702000 702624 720640 730080 731900 748800 760050 760500 761176 778752 790452 810720 811200 832000 844500 856323 864000 864768 878280 898560 900800 912600 914875 936000 936832 951470 972864 973440 988065 1013400 1014000 1053936 1080960 1081600 1097850 1123200 1126000 1140750 1141764 1168128 1171040 1216080 1216800 1248000 1266750 1297152 1297920 1317420 1351200 1352000 1404000 1405248 1427205 1441280 1460160 1463800 1497600 1520100 1521000 1522352 1580904 1621440 1622400 1646775 1689000 1712646 1728000 1756560 1801600 1825200 1829750 1872000 1873664 1900125 1902940 1945728 1946880 1976130 2026800 2028000 2107872 2161920 2163200 2195700 2246400 2252000 2281500 2283528 2336256 2342080 2378675 2432160 2433600 2496000 2533500 2568969 2594304 2634840 2702400 2704000 2744625 2808000 2810496 2854410 2920320 2927600 3040200 3042000 3044704 3161808 3242880 3244800 3293550 3378000 3425292 3513120 3603200 3650400 3659500 3744000 3747328 3800250 3805880 3891456 3893760 3952260 4053600 4056000 4215744 4281615 4323840 4391400 4492800 4504000 4563000 4567056 4684160 4757350 4864320 4867200 4940325 5067000 5137938 5269680 5404800 5408000 5489250 5616000 5620992 5708820 5840640 5855200 6080400 6084000 6089408 6323616 6485760 6489600 6587100 6756000 6850584 7026240 7136025 7206400 7300800 7319000 7488000 7600500 7611760 7782912 7904520 8107200 8112000 8233875 8431488 8563230 8782800 9008000 9126000 9134112 9368320 9514700 9728640 9734400 9880650 10134000 10275876 10539360 10809600 10816000 10978500 11232000 11241984 11417640 11681280 11710400 11893375 12160800 12168000 12178816 12647232 12844845 12971520 13174200 13512000 13701168 14052480 14272050 14601600 14638000 15201000 15223520 15809040 16214400 16224000 16467750 16862976 17126460 17565600 18016000 18252000 18268224 18736640 19029400 19457280 19468800 19761300 20268000 20551752 21078720 21408075 21619200 21957000 22464000 22835280 23420800 23786750 24321600 24336000 24357632 24701625 25294464 25689690 26348400 27024000 27402336 28104960 28544100 29203200 29276000 30402000 30447040 31618080 32428800 32448000 32935500 33725952 34252920 35131200 35680125 36032000 36504000 36536448 38058800 38914560 39522600 40536000 41103504 42157440 42816150 43914000 45670560 46841600 47573500 48643200 48672000 48715264 49403250 50588928 51379380 52696800 54048000 54804672 56209920 57088200 58406400 58552000 60804000 60894080 63236160 64224225 64857600 65871000 68505840 70262400 71360250 73008000 73072896 76117600 79045200 81072000 82207008 84314880 85632300 87828000 91341120 93683200 95147000 97286400 97344000 98806500 101177856 102758760 105393600 107040375 108096000 109609344 114176400 117104000 121608000 121788160 126472320 128448450 131742000 137011680 140524800 142720500 146016000 146145792 152235200 158090400 162144000 164414016 168629760 171264600 175656000 182682240 190294000 194572800 197613000 205517520 210787200 214080750 219218688 228352800 234208000 243216000 243576320 252944640 256896900 263484000 274023360 281049600 285441000 292032000 304470400 316180800 321121125 324288000 328828032 342529200 351312000 365364480 380588000 395226000 411035040 421574400 428161500 438437376 456705600 468416000 486432000 505889280 513793800 526968000 548046720 570882000 608940800 632361600 642242250 657656064 685058400 702624000 730728960 761176000 790452000 822070080 843148800 856323000 913411200 972864000 1027587600 1053936000 1096093440 1141764000 1217881600 1264723200 1284484500 1315312128 1370116800 1405248000 1522352000 1580904000 1644140160 1712646000 1826822400 2055175200 2107872000 2192186880 2283528000 2529446400 2568969000 2740233600 3044704000 3161808000 3288280320 3425292000 3653644800 4110350400 4215744000 4567056000 5137938000 5480467200 6089408000 6323616000 6576560640 6850584000 8220700800 9134112000 10275876000 10960934400 12647232000 13701168000 16441401600 18268224000 20551752000 27402336000 32882803200 41103504000 54804672000 82207008000 164414016000
• Sum of all divisors σ(n): 658855866240
• Sum of proper divisors (its aliquot sum) s(n): 494441850240
• 164414016000 is an abundant number, because the sum of its proper divisors (494441850240) is greater than itself. Its abundance is 330027834240

Bases of 164414016000

• Binary: 10011001000111110101101100101000000000₂
• Hexadecimal: 0x2647D6CA00
• Base-36: 23J3UYO0

Squares and roots of 164414016000

• 164414016000 squared (164414016000²) is 27031968657248256000000
• 164414016000 cubed (164414016000³) is 4444434527324313277956096000000000
• The square root of 164414016000 is 405479.9822432669
• The cube root of 164414016000 is 5478.3059036029

Scales and comparisons

• 164,414,016,000 seconds is equal to 5,227 years, 44 weeks, 4 days.
• To count from 1 to 164,414,016,000 would take you about ten thousand, four hundred fifty-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 164414016000 cubic inches would be around 456.5 feet tall.

Recreational maths with 164414016000

• 164414016000 backwards is 000610414461
• 164414016000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 164414016000's digits is 27
• More coming soon!