40506415104000

Names of 40506415104000

• Cardinal: 40506415104000 can be written as Forty trillion, five hundred six billion, four hundred fifteen million, one hundred four thousand.

Scientific notation

• Scientific notation: 4.0506415104 × 10¹³

Factors of 40506415104000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 452

Divisors of 40506415104000

• 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 41 48 50 60 64 75 80 82 96 100 120 123 125 128 150 160 164 192 200 205 240 246 250 256 300 320 328 375 384 400 401 410 480 492 500 512 600 615 640 656 750 768 800 802 820 960 984 1000 1024 1025 1200 1203 1230 1280 1312 1500 1536 1600 1604 1640 1920 1968 2000 2005 2048 2050 2400 2406 2460 2560 2624 3000 3072 3075 3200 3208 3280 3840 3936 4000 4010 4096 4100 4800 4812 4920 5120 5125 5248 6000 6015 6144 6150 6400 6416 6560 7680 7872 8000 8020 8192 8200 9600 9624 9840 10025 10240 10250 10496 12000 12030 12288 12300 12800 12832 13120 15360 15375 15744 16000 16040 16384 16400 16441 19200 19248 19680 20050 20480 20500 20992 24000 24060 24576 24600 25600 25664 26240 30075 30720 30750 31488 32000 32080 32800 32882 38400 38496 39360 40100 40960 41000 41984 48000 48120 49152 49200 49323 50125 51200 51328 52480 60150 61440 61500 62976 64000 64160 65600 65764 76800 76992 78720 80200 81920 82000 82205 83968 96000 96240 98400 98646 100250 102400 102656 104960 120300 122880 123000 125952 128000 128320 131200 131528 150375 153600 153984 157440 160400 160801 164000 164410 167936 192000 192480 196800 197292 200500 204800 205312 209920 240600 245760 246000 246615 251904 256000 256640 262400 263056 300750 307200 307968 314880 320800 321602 328000 328820 335872 384000 384960 393600 394584 401000 409600 410624 411025 419840 481200 482403 492000 493230 503808 512000 513280 524800 526112 601500 614400 615936 629760 641600 643204 656000 657640 671744 768000 769920 787200 789168 802000 804005 821248 822050 839680 962400 964806 984000 986460 1007616 1024000 1026560 1049600 1052224 1203000 1228800 1231872 1233075 1259520 1283200 1286408 1312000 1315280 1536000 1539840 1574400 1578336 1604000 1608010 1642496 1644100 1679360 1924800 1929612 1968000 1972920 2015232 2048000 2053120 2055125 2099200 2104448 2406000 2412015 2463744 2466150 2519040 2566400 2572816 2624000 2630560 3072000 3079680 3148800 3156672 3208000 3216020 3284992 3288200 3358720 3849600 3859224 3936000 3945840 4020025 4106240 4110250 4198400 4208896 4812000 4824030 4927488 4932300 5038080 5132800 5145632 5248000 5261120 6144000 6159360 6165375 6297600 6313344 6416000 6432040 6569984 6576400 6592841 7699200 7718448 7872000 7891680 8040050 8212480 8220500 8396800 8417792 9624000 9648060 9854976 9864600 10076160 10265600 10291264 10496000 10522240 12060075 12318720 12330750 12595200 12626688 12832000 12864080 13152800 13185682 15398400 15436896 15744000 15783360 16080100 16424960 16441000 16793600 16835584 19248000 19296120 19709952 19729200 19778523 20100125 20531200 20582528 20992000 21044480 24120150 24637440 24661500 25190400 25253376 25664000 25728160 26305600 26371364 30796800 30873792 31488000 31566720 32160200 32849920 32882000 32964205 33671168 38496000 38592240 39458400 39557046 40200250 41062400 41165056 41984000 42088960 48240300 49274880 49323000 50380800 50506752 51328000 51456320 52611200 52742728 60300375 61593600 61747584 62976000 63133440 64320400 65764000 65928410 67342336 76992000 77184480 78916800 79114092 80400500 82124800 82330112 83968000 84177920 96480600 98549760 98646000 98892615 101013504 102656000 102912640 105222400 105485456 120600750 123187200 123495168 125952000 126266880 128640800 131528000 131856820 134684672 153984000 154368960 157833600 158228184 160801000 164249600 164660224 164821025 168355840 192961200 197292000 197785230 202027008 205312000 205825280 210444800 210970912 241201500 246374400 246990336 251904000 252533760 257281600 263056000 263713640 269369344 307968000 308737920 315667200 316456368 321602000 329320448 329642050 336711680 385922400 394584000 395570460 404054016 410624000 411650560 420889600 421941824 482403000 492748800 493980672 494463075 505067520 514563200 526112000 527427280 615936000 617475840 631334400 632912736 643204000 658640896 659284100 673423360 771844800 789168000 791140920 808108032 821248000 823301120 824105125 841779200 843883648 964806000 987961344 988926150 1010135040 1029126400 1052224000 1054854560 1231872000 1234951680 1262668800 1265825472 1286408000 1317281792 1318568200 1346846720 1543689600 1578336000 1582281840 1646602240 1648210250 1683558400 1687767296 1929612000 1975922688 1977852300 2020270080 2058252800 2104448000 2109709120 2463744000 2469903360 2472315375 2525337600 2531650944 2572816000 2634563584 2637136400 3087379200 3156672000 3164563680 3293204480 3296420500 3367116800 3375534592 3859224000 3951845376 3955704600 4040540160 4116505600 4208896000 4219418240 4939806720 4944630750 5050675200 5063301888 5145632000 5274272800 6174758400 6313344000 6329127360 6586408960 6592841000 6734233600 6751069184 7718448000 7903690752 7911409200 8233011200 8417792000 8438836480 9879613440 9889261500 10101350400 10126603776 10291264000 10548545600 12349516800 12626688000 12658254720 13172817920 13185682000 13502138368 15436896000 15822818400 16466022400 16835584000 16877672960 19759226880 19778523000 20202700800 20253207552 20582528000 21097091200 24699033600 25253376000 25316509440 26371364000 27004276736 30873792000 31645636800 32932044800 33671168000 33755345920 39518453760 39557046000 40506415104 41165056000 42194182400 49398067200 50506752000 50633018880 52742728000 54008553472 61747584000 63291273600 65864089600 67510691840 79114092000 81012830208 82330112000 84388364800 98796134400 101013504000 101266037760 105485456000 108017106944 123495168000 126582547200 135021383680 158228184000 162025660416 164660224000 168776729600 197592268800 202532075520 210970912000 246990336000 253165094400 270042767360 316456368000 324051320832 329320448000 337553459200 405064151040 421941824000 493980672000 506330188800 540085534720 632912736000 675106918400 810128302080 843883648000 987961344000 1012660377600 1265825472000 1350213836800 1620256604160 1687767296000 2025320755200 2531650944000 2700427673600 3375534592000 4050641510400 5063301888000 6751069184000 8101283020800 10126603776000 13502138368000 20253207552000 40506415104000
• Sum of all divisors σ(n): 138434291075808
• Sum of proper divisors (its aliquot sum) s(n): 97927875971808
• 40506415104000 is an abundant number, because the sum of its proper divisors (97927875971808) is greater than itself. Its abundance is 57421460867808

Bases of 40506415104000

• Binary: 1001001101011100100010011110111100000000000000₂
• Hexadecimal: 0x24D7227BC000
• Base-36: ECWE1PHXC

Squares and roots of 40506415104000

• 40506415104000 squared (40506415104000²) is 1640769664577559330816000000
• 40506415104000 cubed (40506415104000³) is 66461697123429463057221355044864000000000
• The square root of 40506415104000 is 6364465.0288928445
• The cube root of 40506415104000 is 34343.2403810991

Scales and comparisons

• 40,506,415,104,000 seconds is equal to 1,287,978 years, 36 weeks, 4 days, 21 hours, 20 minutes.
• To count from 1 to 40,506,415,104,000 would take you about three million, two hundred nineteen thousand, nine hundred forty-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 40506415104000 cubic inches would be around 2861.9 feet tall.

Recreational maths with 40506415104000

• 40506415104000 backwards is 00040151460504
• 40506415104000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 40506415104000's digits is 30
• More coming soon!