3468977116164

Names of 3468977116164

• Cardinal: 3468977116164 can be written as Three trillion, four hundred sixty-eight billion, nine hundred seventy-seven million, one hundred sixteen thousand, one hundred sixty-four.

Scientific notation

• Scientific notation: 3.468977116164 × 10¹²

Factors of 3468977116164

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 45423

Divisors of 3468977116164

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 73 76 84 108 114 126 133 146 171 189 219 228 252 266 292 342 378 399 438 511 513 532 657 684 756 798 876 1022 1026 1197 1314 1387 1533 1596 1971 2044 2052 2394 2628 2774 3066 3591 3942 4161 4599 4788 5329 5548 6132 7182 7884 8322 9198 9709 10658 12483 13797 14364 15987 16644 18396 19418 21316 24966 27594 29127 31974 37303 37449 38836 45319 47961 49932 55188 58254 63948 74606 74898 87381 90638 95922 101251 111909 116508 135957 143883 149212 149796 174762 181276 191844 202502 223818 262143 271914 287766 303753 317233 335727 349524 405004 407871 447636 524286 543828 575532 607506 634466 671454 708757 815742 861061 911259 951699 1007181 1048572 1215012 1223613 1268932 1342908 1417514 1631484 1722122 1822518 1903398 2014362 2126271 2447226 2583183 2733777 2835028 2855097 3308287 3444244 3645036 3806796 4028724 4252542 4894452 5166366 5467554 5710194 6027427 6378813 6616574 7749549 8505084 8565291 9924861 10332732 10935108 11420388 12054854 12757626 13233148 15499098 17130582 18082281 19136439 19849722 23158009 23248647 24109708 25515252 29774583 30998196 34261164 36164562 38272878 39699444 46316018 46497294 54246843 59549166 62857453 69474027 72329124 76545756 89323749 92632036 92994588 108493686 119098332 125714906 138948054 162740529 178647498 188572359 208422081 216987372 241504951 251429812 277896108 325481058 357294996 377144718 416844162 440002171 483009902 565717077 625266243 650962116 724514853 754289436 833688324 880004342 966019804 1131434154 1250532486 1320006513 1449029706 1690534657 1697151231 1760008684 2173544559 2262868308 2501064972 2640013026 2898059412 3381069314 3394302462 3960019539 4347089118 4588594069 5071603971 5280026052 6520633677 6762138628 6788604924 7920039078 8694178236 9177188138 10143207942 11880058617 13041267354 13765782207 15214811913 15840078156 18354376276 20286415884 23760117234 26082534708 27531564414 30429623826 32120158483 41297346621 45644435739 47520234468 55063128828 60859247652 64240316966 82594693242 91288871478 96360475449 123892039863 128480633932 165189386484 182577742956 192720950898 247784079726 289081426347 385441901796 495568159452 578162852694 867244279041 1156325705388 1734488558082 3468977116164
• Sum of all divisors σ(n): 10969905408000
• Sum of proper divisors (its aliquot sum) s(n): 7500928291836
• 3468977116164 is an abundant number, because the sum of its proper divisors (7500928291836) is greater than itself. Its abundance is 4031951175672

Bases of 3468977116164

• Binary: 110010011110101111001001100001010000000100₂
• Hexadecimal: 0x327AF261404
• Base-36: 189MJEPL0

Squares and roots of 3468977116164

• 3468977116164 squared (3468977116164²) is 12033802232469501950074896
• 3468977116164 cubed (3468977116164³) is 41744984564879957998852187029892218944
• The square root of 3468977116164 is 1862519.0243763955
• The cube root of 3468977116164 is 15137.9527373233

Scales and comparisons

• 3,468,977,116,164 seconds is equal to 110,302 years, 38 weeks, 4 days, 2 hours, 29 minutes, 24 seconds.
• To count from 1 to 3,468,977,116,164 would take you about two hundred seventy-five thousand, seven hundred fifty-six 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 3468977116164 cubic inches would be around 1261.5 feet tall.

Recreational maths with 3468977116164

• 3468977116164 backwards is 4616117798643
• 3468977116164 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 3468977116164's digits is 63
• More coming soon!