345980441783772825

Names of 345980441783772825

• Cardinal: 345980441783772825 can be written as Three hundred forty-five quadrillion, nine hundred eighty trillion, four hundred forty-one billion, seven hundred eighty-three million, seven hundred seventy-two thousand, eight hundred twenty-five.

Scientific notation

• Scientific notation: 3.45980441783772825 × 10¹⁷

Factors of 345980441783772825

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 687

Divisors of 345980441783772825

• Number of divisors d(n): 648
• Complete list of divisors:
  1 3 5 15 25 41 73 75 97 123 205 219 229 239 291 365 485 615 687 717 1025 1095 1145 1195 1455 1681 1825 2425 2993 3075 3435 3585 3977 5043 5329 5475 5725 5975 7081 7275 8405 8979 9389 9409 9799 11931 14965 15987 16717 17175 17447 17925 19885 21243 22213 23183 25215 26645 28167 28227 29397 35405 42025 44895 46945 47045 48995 50151 52341 54731 59655 66639 69549 74825 79935 83585 87235 99425 106215 111065 115915 122713 126075 133225 140835 141135 146985 163057 164193 177025 218489 224475 234725 235225 244975 250755 261705 273655 290321 298275 333195 347745 368139 384949 385769 399675 401759 417925 436175 489171 516913 531075 555325 579575 613565 655467 685397 686857 704175 705675 715327 734925 815285 820965 870963 910733 950503 1092445 1154847 1157307 1205277 1220341 1253775 1273631 1308525 1368275 1451605 1550739 1621549 1665975 1692359 1738725 1840695 1924745 1928845 2008795 2056191 2060571 2145981 2154661 2243971 2248751 2445855 2584565 2732199 2851509 3067825 3277335 3426985 3434285 3576635 3661023 3820893 3995363 4076425 4104825 4354815 4553665 4752515 4864647 5077077 5308907 5462225 5774235 5786535 6026385 6101705 6368155 6463983 6731913 6746253 7258025 7753695 8107745 8461795 8958049 9203475 9623725 9644225 10043975 10280955 10302855 10729905 10773305 11219855 11243755 11903161 11986089 12229275 12922825 13660995 14257545 15816529 15926721 16386675 17134925 17171425 17883175 18305115 19104465 19976815 21193433 21774075 22768325 23762575 24323235 25385385 26544535 26874147 28101277 28161137 28871175 28932675 29328407 30131925 30508525 31840775 32319915 33659565 33731265 35709483 37340053 38768475 38970623 40538725 42308975 44790245 47449587 50033981 50140561 51404775 51514275 52218871 53649525 53866525 56099275 56218775 59515805 59930445 63580299 66483509 68304975 69386719 71287725 79082645 79633605 84303831 84483411 87985221 88341101 91525575 92002811 92198791 95522325 99884075 105967165 112020159 116911869 118373077 121616175 123542207 126926925 132722675 134370735 140506385 140805685 146642035 150101943 150421683 156656613 157290253 161599575 163809883 164158823 168297825 168656325 178547415 186700265 194853115 199450527 208160157 217665187 223951225 237247935 250169905 250702805 261094355 265023303 276008433 276596373 291661499 297579025 299652225 317901495 332417545 346933595 355119231 370626621 387550211 395413225 398168025 421519155 422417055 439926105 441705505 460014055 460993955 471870759 491429649 492476469 514963979 529835825 560100795 584559345 591865385 617711035 652995561 671853675 702531925 704028425 733210175 750509715 752108415 783283065 786451265 819049415 820794115 868930753 874984497 892737075 933501325 974265575 997252635 1040800785 1088325935 1154606617 1162650633 1186239675 1250849525 1253514025 1305471775 1325116515 1380042165 1382981865 1458307495 1544891937 1589507475 1662087725 1734667975 1775596155 1853133105 1937751055 2051393221 2055763001 2107595775 2112085275 2140973711 2199630525 2208527525 2300070275 2304969775 2359353795 2457148245 2462382345 2574819895 2606792259 2725823869 2800503975 2844855479 2922796725 2959326925 3088555175 3264977805 3463819851 3621985141 3752548575 3760542075 3780150431 3916415325 3932256325 4095247075 4103970575 4344653765 4374922485 4853296157 4986263175 5065230487 5204003925 5441629675 5773033085 5813253165 6154179663 6167289003 6422921133 6448900373 6625582575 6716205203 6730511743 6900210825 6914909325 7291537475 7724459685 8177471607 8534566437 8877980775 8924272667 9265665525 9688755275 10256966105 10278815005 10704868555 10865955423 11340451293 11482188469 11796768975 11958121459 11983594079 12285741225 12311911725 12874099475 13033961295 13629119345 14224277395 14559888471 15195691461 15889558651 16324889025 17319099255 18109925705 18900752155 19346701119 20148615609 20191535229 21113523139 21723268825 21874612425 24266480785 25326152435 26772818001 28291165403 28865165425 29066265825 30770898315 30836445015 32114605665 32244501865 33581026015 33652558715 34446565407 35874364377 35950782237 37592370467 38622298425 40887358035 42672832185 44621363335 47668675953 51284830525 51394075025 53524342775 54329777115 56702256465 57410942345 59790607295 59917970395 63340569417 65169806475 68145596725 71121386975 72799442355 75978457305 79447793255 84286283041 84873496209 86595496275 90549628525 94503760775 96733505595 100743078045 100957676145 105567615695 112777111401 121332403925 126630762175 133864090005 141455827015 153854491575 154182225075 160573028325 161222509325 167905130075 168262793575 172232827035 179371821885 179753911185 187961852335 198985142437 204436790175 207674449967 213364160925 223106816675 238343379765 252858849123 264404915293 271648885575 275950981463 283511282325 287054711725 298953036475 299589851975 316702847085 363997211775 379892286525 397238966275 421431415205 424367481045 470769727229 483667527975 490282979819 491327357239 503715390225 504788380725 527838078475 563885557005 596955427311 623023349901 651471904691 669320450025 707279135075 793214745879 827852944389 861164135175 865654448699 896859109425 898769555925 939809261675 994925712185 1038372249835 1159937781523 1191716898825 1264294245615 1322024576465 1379754907315 1412309181687 1470848939457 1473982071717 1541287189147 1583514235425 1954415714073 2107157076025 2121837405225 2353848636145 2451414899095 2456636786195 2596963346097 2744243044091 2819427785025 2984777136555 3115116749505 3257359523455 3479813344569 3966073729395 4139264721945 4328272243495 4623861567441 4974628560925 5191861249175 5799688907615 6321471228075 6610122882325 6898774536575 7061545908435 7354244697285 7369910358585 7706435945735 8232729132273 9772078570365 11769243180725 12257074495475 12283183930975 12984816730485 13721215220455 14923885682775 15575583747525 16286797617275 17399066722845 19301558816389 19830368646975 20144421646799 20696323609725 21641361217475 23119307837205 28998444538075 35307729542175 36771223486425 36849551792925 38532179728675 41163645661365 47557449042443 48860392851825 57904676449167 60433264940397 63192774755027 64924083652425 68606076102275 86995333614225 96507794081945 100722108233995 112513964807731 115596539186025 142672347127329 189578324265081 205818228306825 237787245212215 289523382245835 302166324701985 315963873775135 337541894423193 482538970409725 503610541169975 562569824038655 713361735636645 947891621325405 1188936226061075 1447616911229175 1510831623509925 1579819368875675 1687709472115965 2812849120193275 3566808678183225 4613072557116971 4739458106627025 8438547360579825 13839217671350913 23065362785584855 69196088356754565 115326813927924275 345980441783772825
• Sum of all divisors σ(n): 605793350228918400
• Sum of proper divisors (its aliquot sum) s(n): 259812908445145575
• 345980441783772825 is a deficient number, because the sum of its proper divisors (259812908445145575) is less than itself. Its deficiency is 86167533338627250

Bases of 345980441783772825

• Binary: 10011001101001010110110000011110011110000010010011010011001₂
• Hexadecimal: 0x4CD2B60F3C12699
• Base-36: 2MMNTWQVRQMX

Squares and roots of 345980441783772825

• 345980441783772825 squared (345980441783772825²) is 119702466096894616888931491208480625
• 345980441783772825 cubed (345980441783772825³) is 41414712102810688293988382953428295673389148414015625
• The square root of 345980441783772825 is 588201021.5766144221
• The cube root of 345980441783772825 is 702021.6670285953

Scales and comparisons

• 345,980,441,783,772,825 seconds is equal to 11,001,107,860 years, 49 weeks, 3 days, 6 hours, 13 minutes, 45 seconds.
• To count from 1 to 345,980,441,783,772,825 would take you about thirty-three billion, three million, three hundred twenty-three thousand, five hundred eighty-two 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 345980441783772825 cubic inches would be around 58501.8 feet tall.

Recreational maths with 345980441783772825

• 345980441783772825 backwards is 528277387144089543
• The number of decimal digits it has is: 18
• The sum of 345980441783772825's digits is 87
• More coming soon!