131413953216512000

Names of 131413953216512000

• Cardinal: 131413953216512000 can be written as One hundred thirty-one quadrillion, four hundred thirteen trillion, nine hundred fifty-three billion, two hundred sixteen million, five hundred twelve thousand.

Scientific notation

• Scientific notation: 1.31413953216512 × 10¹⁷

Factors of 131413953216512000

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 33
• Sum of prime factors: 1986

Divisors of 131413953216512000

• Number of divisors d(n): 348
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1024 1280 1600 1979 2000 2048 2560 3200 3958 4000 4096 5120 6400 7916 8000 8192 9895 10240 12800 15832 16000 16384 19790 20480 25600 31664 32000 32768 39580 40960 49475 51200 63328 64000 65536 79160 81920 98950 102400 126656 128000 131072 158320 163840 197900 204800 247375 253312 256000 262144 316640 327680 395800 409600 494750 506624 512000 524288 633280 655360 791600 819200 989500 1013248 1024000 1048576 1266560 1310720 1583200 1638400 1979000 2026496 2048000 2097152 2533120 2621440 3166400 3276800 3916441 3958000 4052992 4096000 4194304 5066240 5242880 6332800 6553600 7832882 7916000 8105984 8192000 8388608 10132480 10485760 12665600 13107200 15665764 15832000 16211968 16384000 16777216 19582205 20264960 20971520 25331200 26214400 31331528 31664000 32423936 32768000 33554432 39164410 40529920 41943040 50662400 52428800 62663056 63328000 64847872 65536000 67108864 78328820 81059840 83886080 97911025 101324800 104857600 125326112 126656000 129695744 131072000 134217728 156657640 162119680 167772160 195822050 202649600 209715200 250652224 253312000 259391488 262144000 268435456 313315280 324239360 335544320 391644100 405299200 419430400 489555125 501304448 506624000 518782976 524288000 626630560 648478720 671088640 783288200 810598400 838860800 979110250 1002608896 1013248000 1037565952 1048576000 1253261120 1296957440 1342177280 1566576400 1621196800 1677721600 1958220500 2005217792 2026496000 2075131904 2097152000 2506522240 2593914880 3133152800 3242393600 3355443200 3916441000 4010435584 4052992000 4150263808 4194304000 5013044480 5187829760 6266305600 6484787200 6710886400 7832882000 8020871168 8105984000 8300527616 8388608000 10026088960 10375659520 12532611200 12969574400 15665764000 16041742336 16211968000 16601055232 16777216000 20052177920 20751319040 25065222400 25939148800 31331528000 32083484672 32423936000 33202110464 33554432000 40104355840 41502638080 50130444800 51878297600 62663056000 64166969344 64847872000 66404220928 80208711680 83005276160 100260889600 103756595200 125326112000 128333938688 129695744000 132808441856 160417423360 166010552320 200521779200 207513190400 250652224000 256667877376 259391488000 265616883712 320834846720 332021104640 401043558400 415026380800 501304448000 513335754752 518782976000 531233767424 641669693440 664042209280 802087116800 830052761600 1002608896000 1026671509504 1037565952000 1283339386880 1328084418560 1604174233600 1660105523200 2005217792000 2053343019008 2075131904000 2566678773760 2656168837120 3208348467200 3320211046400 4010435584000 4106686038016 4150263808000 5133357547520 6416696934400 6640422092800 8020871168000 8213372076032 8300527616000 10266715095040 12833393868800 13280844185600 16041742336000 16426744152064 16601055232000 20533430190080 25666787737600 32083484672000 32853488304128 33202110464000 41066860380160 51333575475200 64166969344000 65706976608256 66404220928000 82133720760320 102667150950400 128333938688000 131413953216512 164267441520640 205334301900800 256667877376000 262827906433024 328534883041280 410668603801600 513335754752000 525655812866048 657069766082560 821337207603200 1026671509504000 1051311625732096 1314139532165120 1642674415206400 2053343019008000 2628279064330240 3285348830412800 4106686038016000 5256558128660480 6570697660825600 8213372076032000 13141395321651200 16426744152064000 26282790643302400 32853488304128000 65706976608256000 131413953216512000
• Sum of all divisors σ(n): 328175055304438836
• Sum of proper divisors (its aliquot sum) s(n): 196761102087926836
• 131413953216512000 is an abundant number, because the sum of its proper divisors (196761102087926836) is greater than itself. Its abundance is 65347148871414836

Bases of 131413953216512000

• Binary: 111010010111000000100101101010000000000000000000000000000₂
• Hexadecimal: 0x1D2E04B50000000
• Base-36: ZXYCWOHDYBK

Squares and roots of 131413953216512000

• 131413953216512000 squared (131413953216512000²) is 17269627099991604630749446144000000
• 131413953216512000 cubed (131413953216512000³) is 2269469967784904534013272372156471315529728000000000
• The square root of 131413953216512000 is 362510624.9705131057
• The cube root of 131413953216512000 is 508409.6985501273

Scales and comparisons

• 131,413,953,216,512,000 seconds is equal to 4,178,557,222 years, 12 weeks, 2 days, 19 hours, 33 minutes, 20 seconds.
• To count from 1 to 131,413,953,216,512,000 would take you about twelve billion, five hundred thirty-five million, six hundred seventy-one thousand, six hundred sixty-six 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 131413953216512000 cubic inches would be around 42367.5 feet tall.

Recreational maths with 131413953216512000

• 131413953216512000 backwards is 000215612359314131
• The number of decimal digits it has is: 18
• The sum of 131413953216512000's digits is 47
• More coming soon!