345711989137408000

Names of 345711989137408000

• Cardinal: 345711989137408000 can be written as Three hundred forty-five quadrillion, seven hundred eleven trillion, nine hundred eighty-nine billion, one hundred thirty-seven million, four hundred eight thousand.

Scientific notation

• Scientific notation: 3.45711989137408 × 10¹⁷

Factors of 345711989137408000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 8252

Divisors of 345711989137408000

• Number of divisors d(n): 816
• Complete list of divisors:
  1 2 4 5 8 10 16 17 20 25 32 34 37 40 50 64 68 74 80 85 100 125 128 136 148 160 170 185 200 250 256 272 296 320 340 370 400 425 500 512 544 592 629 640 680 740 800 850 925 1000 1024 1088 1184 1258 1280 1360 1480 1600 1700 1850 2000 2048 2125 2176 2368 2516 2560 2720 2960 3145 3200 3400 3700 4000 4096 4250 4352 4625 4736 5032 5120 5440 5920 6290 6400 6800 7400 8000 8191 8192 8500 8704 9250 9472 10064 10240 10880 11840 12580 12800 13600 14800 15725 16000 16382 16384 17000 17408 18500 18944 20128 20480 21760 23680 25160 25600 27200 29600 31450 32000 32764 32768 34000 34816 37000 37888 40256 40955 40960 43520 47360 50320 51200 54400 59200 62900 64000 65528 65536 68000 69632 74000 75776 78625 80512 81910 81920 87040 94720 100640 102400 108800 118400 125800 128000 131056 136000 139247 139264 148000 151552 157250 161024 163820 163840 174080 189440 201280 204775 204800 217600 236800 251600 256000 262112 272000 278494 278528 296000 303067 303104 314500 322048 327640 327680 348160 378880 402560 409550 409600 435200 473600 503200 512000 524224 544000 556988 557056 592000 606134 606208 629000 644096 655280 696235 696320 757760 805120 819100 819200 870400 947200 1006400 1023875 1024000 1048448 1088000 1113976 1114112 1184000 1212268 1212416 1258000 1288192 1310560 1392470 1392640 1515335 1515520 1610240 1638200 1638400 1740800 1894400 2012800 2047750 2048000 2096896 2176000 2227952 2368000 2424536 2424832 2516000 2576384 2621120 2784940 2785280 3030670 3031040 3220480 3276400 3481175 3481600 3788800 4025600 4095500 4096000 4193792 4352000 4455904 4736000 4849072 5032000 5152139 5152768 5242240 5569880 5570560 6061340 6062080 6440960 6552800 6962350 6963200 7576675 7577600 8051200 8191000 8192000 8387584 8704000 8911808 9472000 9698144 10064000 10304278 10305536 10484480 11139760 12122680 12124160 12881920 13105600 13924700 13926400 15153350 15155200 16102400 16382000 16775168 17405875 17408000 17823616 18944000 19396288 20128000 20608556 20611072 20968960 22279520 24245360 25760695 25763840 26211200 27849400 27852800 30306700 30310400 32204800 32764000 33550336 34811750 34816000 35647232 37883375 37888000 38792576 40256000 41217112 41222144 41937920 44559040 48490720 51521390 51527680 52422400 55698800 60613400 60620800 64409600 65528000 67092481 67100672 69623500 69632000 71294464 75766750 75776000 77585152 80512000 82434224 83875840 89118080 96981440 103042780 103055360 104844800 111397600 121226800 128803475 128819200 131056000 134184962 134201344 139247000 139264000 142588928 151533500 151552000 155170304 161024000 164868448 167751680 178236160 193962880 206085560 206110720 209689600 222795200 242453600 257606950 257638400 262112000 268369924 268402688 278494000 285177856 303067000 303104000 310340608 322048000 329736896 335462405 335503360 356472320 387925760 412171120 419379200 445590400 484907200 515213900 515276800 524224000 536739848 536805376 556988000 570355712 606134000 620681216 644017375 644096000 659473792 670924810 671006720 712944640 775851520 824342240 838758400 891180800 969814400 1030427800 1030553600 1048448000 1073479696 1113976000 1140572177 1140711424 1212268000 1241362432 1288034750 1288192000 1318947584 1341849620 1342013440 1425889280 1551703040 1648684480 1677312025 1677516800 1782361600 1939628800 2060855600 2096896000 2146959392 2227952000 2281144354 2281422848 2424536000 2482421797 2482724864 2576069500 2576384000 2637895168 2683699240 2684026880 2851778560 3103406080 3297368960 3354624050 3355033600 3564723200 3879257600 4121711200 4193792000 4293918784 4455904000 4562288708 4562845696 4849072000 4964843594 4965449728 5152139000 5152768000 5275790336 5367398480 5702860885 5703557120 6206812160 6594737920 6709248100 6710067200 7129446400 7758515200 8243422400 8386560125 8387584000 8587837568 8911808000 9124577416 9125691392 9698144000 9929687188 9930899456 10304278000 10551580672 10734796960 11405721770 11407114240 12412108985 12413624320 13189475840 13418496200 13420134400 14258892800 15517030400 16486844800 16773120250 16775168000 17175675136 17823616000 18249154832 19396288000 19859374376 19861798912 20608556000 21103161344 21469593920 22811443540 22814228480 24824217970 24827248640 26378951680 26836992400 28514304425 28517785600 31034060800 32973689600 33546240500 33550336000 34351350272 35647232000 36498309664 38792576000 39718748752 41217112000 42201170549 42206322688 42939187840 45622887080 45628456960 49648435940 49654497280 52757903360 53673984800 57028608850 57035571200 62060544925 62068121600 65947379200 67092481000 67100672000 68702700544 71294464000 72996619328 77585152000 79437497504 82434224000 84402341098 84412645376 85878375680 91245774160 99296871880 99308994560 105515806720 107347969600 114057217700 114071142400 124121089850 124136243200 131894758400 134184962000 137405401088 142571522125 142588928000 145993238656 155170304000 158874995008 164868448000 168804682196 168825290752 171756751360 182491548320 198593743760 211005852745 211031613440 214695939200 228114435400 228142284800 248242179700 248272486400 263789516800 268369924000 274810802176 285143044250 285177856000 291986477312 310302724625 310340608000 317749990016 329736896000 337609364392 337650581504 343513502720 364983096640 397187487520 422011705490 422063226880 429391878400 456228870800 496484359400 496544972800 527579033600 536739848000 549621604352 570286088500 570355712000 583972954624 620605449250 620681216000 635499980032 659473792000 675218728784 687027005440 729966193280 794374975040 844023410980 844126453760 858783756800 912457741600 992968718800 1055029263725 1055158067200 1073479696000 1099243208704 1140572177000 1140711424000 1167945909248 1241210898500 1241362432000 1270999960064 1318947584000 1350437457568 1374054010880 1459932386560 1588749950080 1688046821960 1688252907520 1717567513600 1824915483200 1985937437600 2110058527450 2110316134400 2146959392000 2198486417408 2281144354000 2335891818496 2482421797000 2482724864000 2541999920128 2637895168000 2700874915136 2748108021760 2919864773120 3177499900160 3376093643920 3435135027200 3649830966400 3971874875200 4220117054900 4220632268800 4293918784000 4396972834816 4562288708000 4671783636992 4964843594000 5083999840256 5275146318625 5275790336000 5401749830272 5496216043520 5839729546240 6354999800320 6752187287840 6870270054400 7299661932800 7943749750400 8440234109800 8441264537600 8587837568000 9124577416000 9343567273984 9929687188000 10167999680512 10550292637250 10551580672000 10803499660544 10992432087040 11679459092480 12709999600640 13504374575680 13740540108800 14599323865600 15887499500800 16880468219600 17175675136000 18249154832000 18687134547968 19859374376000 20335999361024 21100585274500 21103161344000 21606999321088 21984864174080 23358918184960 25419999201280 27008749151360 27481080217600 29198647731200 31774999001600 33760936439200 34351350272000 36498309664000 37374269095936 39718748752000 40671998722048 42201170549000 42206322688000 43213998642176 46717836369920 50839998402560 54017498302720 54962160435200 58397295462400 63549998003200 67521872878400 68702700544000 72996619328000 74748538191872 79437497504000 81343997444096 84402341098000 86427997284352 93435672739840 101679996805120 108034996605440 109924320870400 116794590924800 127099996006400 135043745756800 137405401088000 145993238656000 158874995008000 162687994888192 168804682196000 172855994568704 186871345479680 203359993610240 216069993210880 233589181849600 254199992012800 270087491513600 274810802176000 291986477312000 317749990016000 337609364392000 345711989137408 373742690959360 406719987220480 432139986421760 467178363699200 508399984025600 540174983027200 549621604352000 583972954624000 635499980032000 675218728784000 691423978274816 813439974440960 864279972843520 934356727398400 1016799968051200 1080349966054400 1167945909248000 1270999960064000 1350437457568000 1382847956549632 1728559945687040 1868713454796800 2033599936102400 2160699932108800 2335891818496000 2541999920128000 2700874915136000 2765695913099264 3457119891374080 4067199872204800 4321399864217600 4671783636992000 5083999840256000 5401749830272000 6914239782748160 8642799728435200 9343567273984000 10167999680512000 10803499660544000 13828479565496320 17285599456870400 20335999361024000 21606999321088000 34571198913740800 43213998642176000 69142397827481600 86427997284352000 172855994568704000 345711989137408000
• Sum of all divisors σ(n): 938456591369789232
• Sum of proper divisors (its aliquot sum) s(n): 592744602232381232
• 345711989137408000 is an abundant number, because the sum of its proper divisors (592744602232381232) is greater than itself. Its abundance is 247032613094973232

Bases of 345711989137408000

• Binary: 10011001100001101110011100011110011001000010000000000000000₂
• Hexadecimal: 0x4CC3738F3210000
• Base-36: 2MK0O7AXD7GG

Squares and roots of 345711989137408000

• 345711989137408000 squared (345711989137408000²) is 119516779433343306987904958464000000
• 345711989137408000 cubed (345711989137408000³) is 41318383553197969207003059260145869428621312000000000
• The square root of 345711989137408000 is 587972779.2486723615
• The cube root of 345711989137408000 is 701840.0494999053

Scales and comparisons

• 345,711,989,137,408,000 seconds is equal to 10,992,571,897 years, 9 weeks, 20 hours, 26 minutes, 40 seconds.
• To count from 1 to 345,711,989,137,408,000 would take you about thirty-two billion, nine hundred seventy-seven million, seven hundred fifteen thousand, six hundred ninety-one 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 345711989137408000 cubic inches would be around 58486.7 feet tall.

Recreational maths with 345711989137408000

• 345711989137408000 backwards is 000804731989117543
• The number of decimal digits it has is: 18
• The sum of 345711989137408000's digits is 70
• More coming soon!