345400056033518801133

Names of 345400056033518801133

• Cardinal: 345400056033518801133 can be written as Three hundred forty-five quintillion, four hundred quadrillion, fifty-six trillion, thirty-three billion, five hundred eighteen million, eight hundred one thousand, one hundred thirty-three.

Scientific notation

• Scientific notation: 3.45400056033518801133 × 10²⁰

Factors of 345400056033518801133

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 154

Divisors of 345400056033518801133

• Number of divisors d(n): 288
• Complete list of divisors:
  1 3 7 9 13 21 39 49 63 91 117 131 147 169 273 343 393 441 507 637 819 917 1029 1179 1183 1521 1703 1911 2751 3087 3549 4459 5109 5733 6419 8253 8281 10647 11921 13377 15327 17161 19257 22139 24843 35763 40131 44933 51483 57771 57967 66417 74529 83447 107289 120127 134799 154449 154973 173901 199251 223093 250341 360381 404397 464919 521703 584129 669279 751023 840889 1081143 1084811 1394757 1561651 1752387 2007837 2248091 2522667 2900209 3254433 4684953 5257161 5886223 6744273 7568001 7593677 8700627 9763299 10931557 14054859 15736637 17658669 20232819 20301463 22781031 26101881 29225183 32794671 47209911 52976007 60904389 68343093 76520899 87675549 98384013 110156459 141629733 142110241 182713167 204576281 229562697 263026647 294499921 330469377 379927379 426330723 613728843 688688091 771095213 883499763 991408131 994771687 1139782137 1278992169 1432033967 1841186529 2061499447 2313285639 2650499289 2659491653 2984315061 3419346411 3828498973 4296101901 6184498341 6939856917 7978474959 8952945183 10024237769 11485496919 12888305703 14430496129 18553495023 18616441571 23935424877 26799492811 30072713307 34456490757 38579489651 43291488387 49770486649 55849324713 80398478433 90218139921 101013472903 115738468953 129874465161 130315090997 149311459947 167547974139 187596449677 241195435299 270056427557 303040418709 347215406859 348393406543 390945272991 447934379841 501533365463 562789349031 810169282671 909121256127 1045180219629 1172835818973 1313175147739 1504600096389 1688368047093 1890394992899 2430507848013 2438753845801 3135540658887 3510733558241 3939525443217 4513800289167 5053913144281 5671184978697 6519933751019 7316261537403 10532200674723 11818576329651 13232764950293 15161739432843 17013554936091 17071276920607 19559801253057 21948784612209 24575134907687 31596602024169 35377392009967 39698294850879 45485218298529 45639536257133 51213830761821 58679403759171 65700870875653 73725404723061 106132176029901 119094884552637 136918608771399 153641492285463 172025944353809 197102612626959 221176214169183 247641744069769 318396528089703 319476753799931 410755826314197 459906096129571 516077833061427 591307837880877 662062621900811 742925232209307 854111321383489 958430261399793 1379718288388713 1548233499184281 1733492208488383 1986187865702433 2228775696627921 2236337276599517 2562333964150467 2875290784199379 3219342672906997 4139154865166139 4634438353305677 5200476625465149 5958563597107299 5978779249684423 6709011829798551 7687001892451401 8606814084710543 9658028018720991 13903315059917031 15601429876395447 17936337749053269 20127035489395653 22535398710348979 25820442254131629 28974084056162973 32441068473139739 41709945179751093 41851454747790961 53809013247159807 60247698592973801 67606196131046937 77461326762394887 97323205419419217 111888583101237059 125554364243372883 180743095778921403 202818588393140811 227087479311978173 291969616258257651 292960183234536727 335665749303711177 376663092730118649 421733890150816607 542229287336764209 681262437935934519 783220081708659413 878880549703610181 1006997247911133531 1265201670452449821 2043787313807803557 2349660245125978239 2636641649110830543 2952137231055716249 3795605011357349463 5482540571960615891 7048980735377934717 8856411693167148747 16447621715881847673 26569235079501446241 38377784003724311237 49342865147645543019 115133352011172933711 345400056033518801133
• Sum of all divisors σ(n): 634865089393125676800
• Sum of proper divisors (its aliquot sum) s(n): 289465033359606875667
• 345400056033518801133 is a deficient number, because the sum of its proper divisors (289465033359606875667) is less than itself. Its deficiency is 55935022673911925466

Bases of 345400056033518801133

• Binary: 100101011100101100011100000001111010001011101111001111101000011101101₂
• Hexadecimal: 0x12B96380F45DE7D0ED
• Base-36: 20W6R98TVLB5D9

Squares and roots of 345400056033518801133

• 345400056033518801133 squared (345400056033518801133²) is 119301198707957927577905636925393602083689
• 345400056033518801133 cubed (345400056033518801133³) is 41206640718594628985473109675761253390489866992577706014019637
• The square root of 345400056033518801133 is 18584941647.2992672439
• The cube root of 345400056033518801133 is 7016288.9779909347

Scales and comparisons

• 345,400,056,033,518,801,133 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 345,400,056,033,518,801,133 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 345400056033518801133 cubic inches would be around 584690.7 feet tall.

Recreational maths with 345400056033518801133

• 345400056033518801133 backwards is 331108815330650004543
• 345400056033518801133 is a Harshad number.
• The number of decimal digits it has is: 21
• The sum of 345400056033518801133's digits is 63
• More coming soon!