345686837635125

Names of 345686837635125

• Cardinal: 345686837635125 can be written as Three hundred forty-five trillion, six hundred eighty-six billion, eight hundred thirty-seven million, six hundred thirty-five thousand, one hundred twenty-five.

Scientific notation

• Scientific notation: 3.45686837635125 × 10¹⁴

Factors of 345686837635125

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 117

Divisors of 345686837635125

• Number of divisors d(n): 480
• Complete list of divisors:
  1 3 5 7 9 15 21 23 25 35 45 49 63 69 75 79 105 115 125 147 161 175 207 225 237 245 315 343 345 375 395 441 483 525 553 575 711 735 805 875 1029 1035 1125 1127 1185 1225 1449 1575 1659 1715 1725 1817 1975 2205 2415 2625 2765 2875 3087 3381 3555 3675 3871 4025 4977 5145 5175 5451 5635 5925 6125 6241 7245 7875 7889 8295 8575 8625 9085 9875 10143 11025 11613 12075 12719 13825 15435 16353 16905 17775 18375 18723 19355 20125 23667 24885 25725 25875 27097 27255 28175 29625 31205 34839 36225 38157 39445 41475 42875 43687 45425 50715 55125 56169 58065 60375 63595 69125 71001 77175 81291 81765 84525 88875 89033 93615 96775 114471 118335 124425 128625 131061 135485 136275 140875 143543 156025 174195 181125 190785 197225 207375 218435 227125 243873 253575 267099 280845 290325 305809 317975 355005 385875 393183 406455 408825 422625 430629 445165 468075 483875 493039 572355 591675 622125 623231 655305 677425 681375 717715 780125 801297 870975 917427 953925 986125 1004801 1092175 1219365 1267875 1291887 1335495 1404225 1451625 1479117 1529045 1589875 1775025 1869693 1965915 2032275 2044125 2140663 2153145 2225825 2340375 2465195 2752281 2861775 2958375 3014403 3116155 3276525 3387125 3451273 3588575 4006485 4354875 4437351 4587135 4769625 5024005 5460875 5609079 6096825 6421989 6459435 6677475 7021125 7033607 7395585 7645225 8875125 9043209 9348465 9829575 10161375 10353819 10703315 10765725 11129125 11339897 12325975 13761405 14308875 15072015 15580775 16382625 17256365 17942875 19265967 20032425 21100821 22186755 22935675 24158911 25120025 28045395 30484125 31061457 32109945 32297175 33387375 34019691 35168035 36977925 38226125 38950081 45216045 46742325 49147875 49235249 51769095 53516575 53828625 56699485 61629875 63302463 68807025 72476733 75360075 77903875 79379279 86281825 96329835 100162125 102059073 105504105 110933775 114678375 116850243 120794555 125600125 140226975 147705747 155307285 160549725 161485875 169112377 170098455 175840175 184889625 194750405 217430199 226080225 233711625 238137837 246176245 258845475 267582875 272650567 283497425 316512315 344035125 350550729 362383665 376800375 396896395 431409125 443117241 481649175 507337131 510295365 527520525 554668875 555654953 584251215 603972775 701134875 714413511 738528735 776536425 802748625 817951701 845561885 850492275 879200875 895851863 973752025 1087150995 1130401125 1190689185 1230881225 1294227375 1363252835 1417487125 1522011393 1582561575 1666964859 1752753645 1811918325 1908553969 1984481975 2215586205 2408245875 2453855103 2536685655 2551476825 2637602625 2687555589 2778274765 2921256075 3019863875 3572067555 3692643675 3882682125 3889584671 4089758505 4227809425 4252461375 4479259315 4868760125 5000894577 5435754975 5725661907 5953445925 6154406125 6270963041 6816264175 7610056965 7912807875 8062666767 8334824295 8763768225 9059591625 9542769845 9922409875 11077931025 11668754013 12269275515 12683428275 12757384125 13359877783 13437777945 13891373825 14606280375 17176985721 17860337775 18463218375 18812889123 19447923355 20448792525 21139047125 22396296575 25004472885 27178774875 28628309535 29767229625 31354815205 34081320875 35006262039 38050284825 40079633349 40313333835 41674121475 43818841125 43896741287 47713849225 55389655125 56438667369 58343770065 61346377575 63417141375 66799388915 67188889725 69456869125 85884928605 89301688875 94064445615 97239616775 102243962625 111981482875 120238900047 125022364425 131690223861 143141547675 156774076025 175031310195 190251424125 200398166745 201566669175 208370607375 219483706435 238569246125 282193336845 291718850325 306731887875 307277189009 333996944575 335944448625 395070671583 429424643025 470322228075 486198083875 601194500235 625111822125 658451119305 715707738375 783870380125 875156550975 921831567027 1001990833725 1007833345875 1097418532175 1410966684225 1458594251625 1536385945045 1669984722875 1975353357915 2147123215125 2351611140375 2765494701081 3005972501175 3292255596525 4375782754875 4609157835135 5009954168625 5487092660875 7054833421125 7681929725225 9876766789575 13827473505405 15029862505875 16461277982625 23045789175675 38409648626125 49383833947875 69137367527025 115228945878375 345686837635125
• Sum of all divisors σ(n): 768033276940800
• Sum of proper divisors (its aliquot sum) s(n): 422346439305675
• 345686837635125 is an abundant number, because the sum of its proper divisors (422346439305675) is greater than itself. Its abundance is 76659601670550

Bases of 345686837635125

• Binary: 1001110100110011001111101001010010010100000110101₂
• Hexadecimal: 0x13A667D292835
• Base-36: 3EJAC9RAR9

Squares and roots of 345686837635125

• 345686837635125 squared (345686837635125²) is 119499389714173274102633765625
• 345686837635125 cubed (345686837635125³) is 41309366129619943086687780522740848517578125
• The square root of 345686837635125 is 18592655.4756206087
• The cube root of 345686837635125 is 70182.3028819623

Scales and comparisons

• 345,686,837,635,125 seconds is equal to 10,991,772 years, 8 weeks, 1 day, 5 hours, 18 minutes, 45 seconds.
• To count from 1 to 345,686,837,635,125 would take you about twenty-seven million, four hundred seventy-nine thousand, four hundred thirty 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 345686837635125 cubic inches would be around 5848.5 feet tall.

Recreational maths with 345686837635125

• 345686837635125 backwards is 521536738686543
• The number of decimal digits it has is: 15
• The sum of 345686837635125's digits is 72
• More coming soon!