345864586902464

Names of 345864586902464

• Cardinal: 345864586902464 can be written as Three hundred forty-five trillion, eight hundred sixty-four billion, five hundred eighty-six million, nine hundred two thousand, four hundred sixty-four.

Scientific notation

• Scientific notation: 3.45864586902464 × 10¹⁴

Factors of 345864586902464

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 5085

Divisors of 345864586902464

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 7 8 14 16 19 28 31 32 38 53 56 62 64 76 106 112 124 133 152 212 217 224 248 266 304 371 424 434 448 496 532 589 608 742 848 868 992 1007 1064 1178 1216 1484 1643 1696 1736 1984 2014 2128 2356 2968 3286 3392 3472 4028 4123 4256 4712 4973 5936 6572 6944 7049 8056 8246 8512 9424 9946 11501 11872 13144 13888 14098 16112 16492 18848 19892 23002 23744 26288 28196 31217 32224 32984 34811 37696 39784 46004 52576 56392 62434 64448 65968 69622 79568 92008 94487 105152 112784 124868 131936 139244 154163 159136 184016 188974 218519 225568 249736 263569 263872 278488 308326 318272 368032 377948 437038 451136 499472 527138 556976 616652 661409 736064 755896 874076 998944 1054276 1079141 1113952 1233304 1322818 1511792 1748152 1844983 1997888 2108552 2158282 2227904 2466608 2645636 2929097 3023584 3496304 3689966 4217104 4316564 4933216 5007811 5291272 5858194 6047168 6992608 7379932 8170639 8434208 8633128 9866432 10015622 10582544 11716388 13985216 14759864 16341278 16868416 17266256 20031244 20503679 21165088 23432776 24730729 29519728 32682556 34532512 35054677 40062488 41007358 42330176 46865552 49461458 57194473 59039456 65365112 69065024 70109354 80124976 82014716 93731104 98922916 114388946 118078912 130730224 140218708 155242141 160249952 164029432 173115103 187462208 197845832 228777892 261460448 280437416 310484282 320499904 328058864 346230206 395691664 457555784 469883851 522920896 560874832 620968564 656117728 692460412 766652599 791383328 915111568 939767702 1086694987 1121749664 1241937128 1310728637 1312235456 1384920824 1533305198 1582766656 1830223136 1879535404 2173389974 2243499328 2483874256 2621457274 2769841648 3066610396 3289186957 3660446272 3759070808 4346779948 4967748512 5242914548 5366568193 5539683296 6133220792 6578373914 7518141616 8693559896 9175100459 9935497024 10485829096 10733136386 11079366592 12266441584 13156747828 14566399381 15036283232 17387119792 18350200918 20971658192 21466272772 24532883168 24903844103 26313495656 29132798762 30072566464 34774239584 36700401836 40632587747 41943316384 42932545544 49065766336 49807688206 52626991312 58265597524 69548479168 73400803672 81265175494 83886632768 85865091088 99615376412 101964795667 105253982624 116531195048 146801607344 162530350988 171730182176 174326908721 199230752824 203929591334 210507965248 233062390096 284428114229 293603214688 325060701976 343460364352 348653817442 398461505648 407859182668 466124780192 568856228458 587206429376 650121403952 697307634884 772019167193 796923011296 815718365336 932249560384 1137712456916 1300242807904 1394615269768 1544038334386 1593846022592 1631436730672 2275424913832 2600485615808 2789230539536 3088076668772 3262873461344 4550849827664 5404134170351 5578461079072 6176153337544 6525746922688 9101699655328 10808268340702 11156922158144 12352306675088 18203399310656 21616536681404 24704613350176 43233073362808 49409226700352 86466146725616 172932293451232 345864586902464
• Sum of all divisors σ(n): 868543750010880
• Sum of proper divisors (its aliquot sum) s(n): 522679163108416
• 345864586902464 is an abundant number, because the sum of its proper divisors (522679163108416) is greater than itself. Its abundance is 176814576205952

Bases of 345864586902464

• Binary: 1001110101000111111011111110101111011101111000000₂
• Hexadecimal: 0x13A8FDFD7BBC0
• Base-36: 3ELJZX2Z7K

Squares and roots of 345864586902464

• 345864586902464 squared (345864586902464²) is 119622312473212072294249271296
• 345864586902464 cubed (345864586902464³) is 41373121687864960078077454008550097826873344
• The square root of 345864586902464 is 18597434.9549195627
• The cube root of 345864586902464 is 70194.3298709547

Scales and comparisons

• 345,864,586,902,464 seconds is equal to 10,997,424 years, 1 week, 5 days, 9 hours, 47 minutes, 44 seconds.
• To count from 1 to 345,864,586,902,464 would take you about twenty-seven million, four hundred ninety-three thousand, five hundred sixty 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 345864586902464 cubic inches would be around 5849.5 feet tall.

Recreational maths with 345864586902464

• 345864586902464 backwards is 464209685468543
• The number of decimal digits it has is: 15
• The sum of 345864586902464's digits is 74
• More coming soon!