132416727416832000

Names of 132416727416832000

• Cardinal: 132416727416832000 can be written as One hundred thirty-two quadrillion, four hundred sixteen trillion, seven hundred twenty-seven billion, four hundred sixteen million, eight hundred thirty-two thousand.

Scientific notation

• Scientific notation: 1.32416727416832 × 10¹⁷

Factors of 132416727416832000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 35
• Sum of prime factors: 821

Divisors of 132416727416832000

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 512 600 640 750 768 800 811 960 1000 1024 1200 1280 1500 1536 1600 1622 1920 2000 2048 2400 2433 2560 3000 3072 3200 3244 3840 4000 4055 4096 4800 4866 5120 6000 6144 6400 6488 7680 8000 8110 8192 9600 9732 10240 12000 12165 12288 12800 12976 15360 16000 16220 16384 19200 19464 20275 20480 24000 24330 24576 25600 25952 30720 32000 32440 32768 38400 38928 40550 40960 48000 48660 49152 51200 51904 60825 61440 64000 64880 65536 76800 77856 81100 81920 96000 97320 98304 101375 102400 103808 121650 122880 128000 129760 131072 153600 155712 162200 163840 192000 194640 196608 202750 204800 207616 243300 245760 256000 259520 262144 304125 307200 311424 324400 327680 384000 389280 393216 405500 409600 415232 486600 491520 512000 519040 524288 608250 614400 622848 648800 655360 657721 768000 778560 786432 811000 819200 830464 973200 983040 1024000 1038080 1048576 1216500 1228800 1245696 1297600 1310720 1315442 1536000 1557120 1572864 1622000 1638400 1660928 1946400 1966080 1973163 2048000 2076160 2097152 2433000 2457600 2491392 2595200 2621440 2630884 3072000 3114240 3145728 3244000 3276800 3288605 3321856 3892800 3932160 3946326 4096000 4152320 4194304 4866000 4915200 4982784 5190400 5242880 5261768 6144000 6228480 6291456 6488000 6553600 6577210 6643712 7785600 7864320 7892652 8192000 8304640 8388608 9732000 9830400 9865815 9965568 10380800 10485760 10523536 12288000 12456960 12582912 12976000 13107200 13154420 13287424 15571200 15728640 15785304 16384000 16443025 16609280 16777216 19464000 19660800 19731630 19931136 20761600 20971520 21047072 24576000 24913920 25165824 25952000 26214400 26308840 26574848 31142400 31457280 31570608 32768000 32886050 33218560 33554432 38928000 39321600 39463260 39862272 41523200 41943040 42094144 49152000 49329075 49827840 50331648 51904000 52428800 52617680 53149696 62284800 62914560 63141216 65536000 65772100 66437120 67108864 77856000 78643200 78926520 79724544 82215125 83046400 83886080 84188288 98304000 98658150 99655680 100663296 103808000 104857600 105235360 106299392 124569600 125829120 126282432 131072000 131544200 132874240 134217728 155712000 157286400 157853040 159449088 164430250 166092800 167772160 168376576 196608000 197316300 199311360 201326592 207616000 209715200 210470720 212598784 246645375 249139200 251658240 252564864 262144000 263088400 265748480 268435456 311424000 314572800 315706080 318898176 328860500 332185600 335544320 336753152 393216000 394632600 398622720 402653184 415232000 419430400 420941440 425197568 493290750 498278400 503316480 505129728 524288000 526176800 531496960 536870912 622848000 629145600 631412160 637796352 657721000 664371200 671088640 673506304 786432000 789265200 797245440 805306368 830464000 838860800 841882880 850395136 986581500 996556800 1006632960 1010259456 1048576000 1052353600 1062993920 1245696000 1258291200 1262824320 1275592704 1315442000 1328742400 1342177280 1347012608 1572864000 1578530400 1594490880 1610612736 1660928000 1677721600 1683765760 1700790272 1973163000 1993113600 2013265920 2020518912 2097152000 2104707200 2125987840 2491392000 2516582400 2525648640 2551185408 2630884000 2657484800 2684354560 2694025216 3145728000 3157060800 3188981760 3321856000 3355443200 3367531520 3401580544 3946326000 3986227200 4026531840 4041037824 4194304000 4209414400 4251975680 4982784000 5033164800 5051297280 5102370816 5261768000 5314969600 5388050432 6291456000 6314121600 6377963520 6643712000 6710886400 6735063040 6803161088 7892652000 7972454400 8053063680 8082075648 8388608000 8418828800 8503951360 9965568000 10066329600 10102594560 10204741632 10523536000 10629939200 10776100864 12582912000 12628243200 12755927040 13287424000 13421772800 13470126080 13606322176 15785304000 15944908800 16164151296 16777216000 16837657600 17007902720 19931136000 20132659200 20205189120 20409483264 21047072000 21259878400 21552201728 25165824000 25256486400 25511854080 26574848000 26940252160 27212644352 31570608000 31889817600 32328302592 33554432000 33675315200 34015805440 39862272000 40265318400 40410378240 40818966528 42094144000 42519756800 43104403456 50331648000 50512972800 51023708160 53149696000 53880504320 54425288704 63141216000 63779635200 64656605184 67108864000 67350630400 68031610880 79724544000 80820756480 81637933056 84188288000 85039513600 86208806912 100663296000 101025945600 102047416320 106299392000 107761008640 108850577408 126282432000 127559270400 129313210368 134701260800 136063221760 159449088000 161641512960 163275866112 168376576000 170079027200 172417613824 201326592000 202051891200 204094832640 212598784000 215522017280 217701154816 252564864000 255118540800 258626420736 269402521600 272126443520 318898176000 323283025920 326551732224 336753152000 340158054400 344835227648 404103782400 408189665280 425197568000 431044034560 435402309632 505129728000 510237081600 517252841472 538805043200 544252887040 637796352000 646566051840 653103464448 673506304000 680316108800 689670455296 808207564800 816379330560 850395136000 862088069120 1010259456000 1020474163200 1034505682944 1077610086400 1088505774080 1275592704000 1293132103680 1306206928896 1347012608000 1360632217600 1379340910592 1616415129600 1632758661120 1700790272000 1724176138240 2020518912000 2040948326400 2069011365888 2155220172800 2177011548160 2551185408000 2586264207360 2694025216000 2721264435200 2758681821184 3232830259200 3265517322240 3401580544000 3448352276480 4041037824000 4081896652800 4138022731776 4310440345600 5102370816000 5172528414720 5388050432000 5442528870400 5517363642368 6465660518400 6531034644480 6803161088000 6896704552960 8082075648000 8163793305600 8276045463552 8620880691200 10204741632000 10345056829440 10776100864000 10885057740800 11034727284736 12931321036800 13606322176000 13793409105920 16164151296000 16327586611200 16552090927104 17241761382400 20409483264000 20690113658880 21552201728000 22069454569472 25862642073600 27212644352000 27586818211840 32328302592000 32655173222400 33104181854208 34483522764800 40818966528000 41380227317760 43104403456000 44138909138944 51725284147200 54425288704000 55173636423680 64656605184000 66208363708416 68967045529600 81637933056000 82760454635520 86208806912000 88277818277888 103450568294400 110347272847360 129313210368000 132416727416832 137934091059200 163275866112000 165520909271040 172417613824000 176555636555776 206901136588800 220694545694720 258626420736000 264833454833664 275868182118400 331041818542080 344835227648000 353111273111552 413802273177600 441389091389440 517252841472000 529666909667328 551736364236800 662083637084160 689670455296000 827604546355200 882778182778880 1034505682944000 1059333819334656 1103472728473600 1324167274168320 1379340910592000 1655209092710400 1765556365557760 2069011365888000 2206945456947200 2648334548336640 2758681821184000 3310418185420800 4138022731776000 4413890913894400 5296669096673280 5517363642368000 6620836370841600 8276045463552000 8827781827788800 11034727284736000 13241672741683200 16552090927104000 22069454569472000 26483345483366400 33104181854208000 44138909138944000 66208363708416000 132416727416832000
• Sum of all divisors σ(n): 441226920529611216
• Sum of proper divisors (its aliquot sum) s(n): 308810193112779216
• 132416727416832000 is an abundant number, because the sum of its proper divisors (308810193112779216) is greater than itself. Its abundance is 176393465695947216

Bases of 132416727416832000

• Binary: 111010110011100000100111111100000000000000000000000000000₂
• Hexadecimal: 0x1D6704FE0000000
• Base-36: 107TT8SDE8LC

Squares and roots of 132416727416832000

• 132416727416832000 squared (132416727416832000²) is 17534189699783587471476916224000000
• 132416727416832000 cubed (132416727416832000³) is 2321820017951266622231371435345944791482368000000000
• The square root of 132416727416832000 is 363891092.7967762169
• The cube root of 132416727416832000 is 509699.5890894129

Scales and comparisons

• 132,416,727,416,832,000 seconds is equal to 4,210,442,340 years, 1 week, 1 day, 21 hours, 20 minutes.
• To count from 1 to 132,416,727,416,832,000 would take you about twelve billion, six hundred thirty-one million, three hundred twenty-seven thousand and twenty 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 132416727416832000 cubic inches would be around 42475 feet tall.

Recreational maths with 132416727416832000

• 132416727416832000 backwards is 000238614727614231
• The number of decimal digits it has is: 18
• The sum of 132416727416832000's digits is 57
• More coming soon!