344808814009023

Names of 344808814009023

• Cardinal: 344808814009023 can be written as Three hundred forty-four trillion, eight hundred eight billion, eight hundred fourteen million, nine thousand and twenty-three.

Scientific notation

• Scientific notation: 3.44808814009023 × 10¹⁴

Factors of 344808814009023

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 91

Divisors of 344808814009023

• Number of divisors d(n): 400
• Complete list of divisors:
  1 3 7 9 13 21 27 31 37 39 63 81 91 93 111 117 189 217 259 273 279 333 351 403 481 567 651 777 819 837 961 999 1053 1147 1209 1369 1443 1953 2331 2457 2511 2821 2883 2997 3367 3441 3627 4107 4329 5859 6727 6993 7371 8029 8463 8649 9583 10101 10323 10881 12321 12493 12987 14911 17577 17797 20181 20979 24087 25389 25947 28749 29791 30303 30969 32643 35557 36963 37479 38961 42439 44733 50653 53391 60543 72261 76167 77841 86247 87451 89373 90909 92907 104377 106671 110889 112437 124579 127317 134199 151959 160173 181629 208537 216783 228501 248899 258741 262353 268119 272727 297073 313131 320013 337311 354571 373737 381951 387283 402597 455877 462241 480519 544887 551707 625611 650349 658489 746697 776223 787059 804357 891219 923521 939393 960039 1011933 1063713 1102267 1121211 1145853 1161849 1207791 1315609 1367631 1386723 1441557 1570243 1655121 1876833 1975467 2240091 2361177 2413071 2673657 2710981 2770563 2818179 2880117 3191139 3235687 3306801 3363633 3437559 3485547 3861949 3946827 4102893 4160169 4609423 4710729 4965363 5630499 5926401 6464647 6720273 7083531 7715869 8020971 8132943 8311689 8454537 9209263 9573417 9707061 9920403 10090899 10456641 10991701 11585847 11840481 12005773 12480507 13828269 14132187 14329471 14896089 16891497 17102917 17779203 19393941 20160819 20413159 23147607 24062913 24398829 24935067 27627789 28720251 29121183 29761209 31369923 32975103 34170277 34757541 35521443 36017319 37441521 40783879 41484807 42396561 42988413 44688267 48677533 51308751 53337609 58181823 61239477 69442821 73196487 74805201 82883367 84040411 87363549 89283627 98925309 100306297 102510831 104272623 106564329 108051957 119720419 122351637 124454421 127189683 128965239 142892113 146032599 153926253 174545469 183718431 208328463 219589461 239191939 248650101 252121233 262090647 285487153 296775927 300918891 307532493 312817869 324155871 340742731 359161257 367054911 373363263 386895717 428676339 438097797 444213601 461778759 523636407 530190427 551155293 624985389 632807929 717575817 745950303 756363699 856461459 890327781 902756673 922597479 972467613 1022228193 1077483771 1101164733 1160687151 1264300249 1286029017 1314293391 1332640803 1385336277 1509003523 1590571281 1653465879 1898423787 2152727451 2269091097 2569384377 2708270019 2767792437 3066684579 3109495207 3232451313 3303494199 3711332989 3792900747 3858087051 3942880173 3997922409 4429655503 4527010569 4771713843 5695271361 6458182353 6807273291 7708153131 8124810057 8850101743 9200053737 9328485621 9697353939 10563024661 11133998967 11378702241 11574261153 11993767227 13288966509 13581031707 14315141529 16435903237 17085814083 19374547059 19617045799 23124459393 26550305229 27600161211 27985456863 31689073983 33401996901 34136106723 35981301681 39866899527 40743095121 42945424587 46779109213 49307709711 51257442249 58851137397 79650915687 83956370589 95067221949 100205990703 102408320169 115051322659 119600698581 122229285363 137319320593 140337327639 147923129133 176553412191 238952747061 251869111767 285201665847 300617972109 327453764491 345153967977 358802095743 411957961779 421011982917 443769387399 529660236573 608128419769 716858241183 855604997541 982361293473 1035461903931 1235873885337 1263035948751 1331308162197 1588980709719 1824385259307 2947083880419 3106385711793 3707621656011 3789107846253 4256898938383 5473155777921 8841251641257 9319157135379 11122864968033 12770696815149 16419467333763 26523754923771 38312090445447 49258402001289 114936271336341 344808814009023
• Sum of all divisors σ(n): 673278515201600
• Sum of proper divisors (its aliquot sum) s(n): 328469701192577
• 344808814009023 is a deficient number, because the sum of its proper divisors (328469701192577) is less than itself. Its deficiency is 16339112816446

Bases of 344808814009023

• Binary: 1001110011001101000001110110111111101101010111111₂
• Hexadecimal: 0x1399A0EDFDABF
• Base-36: 3E82ZD5SXR

Squares and roots of 344808814009023

• 344808814009023 squared (344808814009023²) is 118893118218309015857525414529
• 344808814009023 cubed (344808814009023³) is 40995395086689697449024333408685310421295167
• The square root of 344808814009023 is 18569028.3539291037
• The cube root of 344808814009023 is 70122.8329042201

Scales and comparisons

• 344,808,814,009,023 seconds is equal to 10,963,853 years, 37 weeks, 3 days, 17 hours, 37 minutes, 3 seconds.
• To count from 1 to 344,808,814,009,023 would take you about twenty-seven million, four hundred nine thousand, six hundred thirty-four 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 344808814009023 cubic inches would be around 5843.6 feet tall.

Recreational maths with 344808814009023

• 344808814009023 backwards is 320900418808443
• The number of decimal digits it has is: 15
• The sum of 344808814009023's digits is 54
• More coming soon!