345115959816992

Names of 345115959816992

• Cardinal: 345115959816992 can be written as Three hundred forty-five trillion, one hundred fifteen billion, nine hundred fifty-nine million, eight hundred sixteen thousand, nine hundred ninety-two.

Scientific notation

• Scientific notation: 3.45115959816992 × 10¹⁴

Factors of 345115959816992

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 5978

Divisors of 345115959816992

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 4 7 8 13 14 16 26 28 32 49 52 56 73 91 98 104 112 127 146 182 196 208 224 254 292 337 364 392 416 508 511 584 637 674 728 784 889 949 1016 1022 1168 1274 1348 1456 1568 1651 1778 1898 2032 2044 2336 2359 2548 2696 2912 3302 3556 3577 3796 4064 4088 4381 4718 5096 5392 5419 6223 6604 6643 7112 7154 7592 8176 8762 9271 9436 10192 10784 10838 11557 12446 13208 13286 14224 14308 15184 16352 16513 17524 18542 18872 20384 21676 23114 24601 24892 26416 26572 28448 28616 30368 30667 33026 35048 37084 37744 37933 42799 43352 46228 46501 49202 49784 52832 53144 57232 61334 64897 66052 70096 70447 74168 75488 75866 80899 85598 86704 92456 93002 98404 99568 106288 114464 120523 122668 129794 132104 140192 140894 148336 151732 161798 171196 172207 173408 184912 186004 196808 199136 212576 214669 241046 245336 259588 264208 265531 281788 296672 299593 303464 319813 323596 342392 344414 369824 372008 393616 395587 429338 454279 482092 490672 493129 519176 528416 531062 556387 563576 599186 606928 639626 647192 684784 688213 688828 744016 787232 791174 843661 858676 908558 964184 981344 986258 1038352 1062124 1112774 1127152 1198372 1205449 1213856 1279252 1294384 1369568 1376426 1377656 1488032 1582348 1687322 1717352 1817116 1826203 1928368 1972516 2076704 2097151 2124248 2225548 2238691 2254304 2396744 2410898 2558504 2588768 2752852 2755312 2769109 3124327 3164696 3374644 3434704 3451903 3634232 3652406 3856736 3894709 3945032 4194302 4248496 4451096 4477382 4793488 4817491 4821796 5117008 5142631 5505704 5510624 5538218 5905627 6248654 6329392 6749288 6869408 6903806 7268464 7304812 7789418 7890064 8388604 8496992 8902192 8946769 8954764 9586976 9634982 9643592 10234016 10285262 11011408 11076436 11811254 12497308 12658784 12783421 13498576 13807612 14536928 14609624 15578836 15670837 15780128 16777208 17804384 17893538 17909528 19269964 19287184 19383763 20570524 21870289 22022816 22152872 23622508 23740639 24994616 25566842 26997152 27262963 27615224 29219248 31157672 31341674 33554416 33722437 35787076 35819056 35998417 38539928 38574368 38767526 40616251 41141048 43740578 44305744 47245016 47481278 49989232 50239549 51133684 54525926 55230448 58438496 62315344 62627383 62683348 67108832 67444874 71574152 71638112 71996834 77079856 77535052 81232502 82282096 87481156 88611488 89483947 94490032 94962556 99978464 100479098 102267368 109051852 110460896 124630688 125254766 125366696 133312819 134889748 143148304 143993668 153092023 154159712 155070104 162465004 164564192 166184473 174962312 178967894 188980064 189925112 200958196 204534736 218103704 231927781 250509532 250733392 251988919 266625638 269779496 284313757 286296608 287987336 306184046 310140208 324930008 332368946 349924624 351676843 357935788 379850224 401916392 409069472 436207408 438391681 463855562 501019064 501466784 503977838 533251276 539558992 568627514 575974672 612368092 620280416 649860016 653114137 664737892 699849248 703353686 715871576 759700448 803832784 872414816 876783362 927711124 933189733 1002038128 1007955676 1066502552 1079117984 1137255028 1151949344 1163291311 1224736184 1299720032 1306228274 1329475784 1406707372 1431743152 1607665568 1623494467 1733066647 1753566724 1855422248 1866379466 1990196299 2004076256 2015911352 2133005104 2274510056 2326582622 2449472368 2461737901 2612456548 2658951568 2813414744 2863486304 3015061153 3246988934 3466133294 3507133448 3710844496 3732758932 3980392598 4031822704 4266010208 4549020112 4571798959 4653165244 4898944736 4923475802 5224913096 5317903136 5626829488 6030122306 6493977868 6532328131 6932266588 7014266896 7421688992 7465517864 7960785196 8063645408 9098040224 9143597918 9306330488 9846951604 10449826192 11253658976 11364461269 12060244612 12131466529 12987955736 13064656262 13864533176 14028533792 14931035728 15921570392 16930728013 18287195836 18612660976 19693903208 20899652384 21105428071 22728922538 24120489224 24262933058 25975911472 26129312524 27729066352 29862071456 31843140784 32002592713 33861456026 36574391672 37225321952 39387806416 42210856142 45457845076 48240978448 48525866116 51951822944 52258625048 55458132704 63686281568 64005185426 67722912052 73148783344 78775612832 84421712284 84920265703 90915690152 96481956896 97051732232 104517250096 118515096091 128010370852 135445824104 146297566688 147737996497 168843424568 169840531406 181831380304 194103464464 209034500192 220099464169 237030192182 256020741704 270891648208 295475992994 337686849136 339681062812 363662760608 388206928928 440198928338 474060384364 512041483408 541783296416 590951985988 675373698272 679362125624 829605672637 880397856676 948120768728 1024082966816 1181903971976 1358724251248 1540696249183 1659211345274 1760795713352 1896241537456 2363807943952 2717448502496 3081392498366 3318422690548 3521591426704 3792483074912 4727615887904 6162784996732 6636845381096 7043182853408 10784873744281 12325569993464 13273690762192 21569747488562 24651139986928 26547381524384 43139494977124 49302279973856 86278989954248 172557979908496 345115959816992
• Sum of all divisors σ(n): 872370793082880
• Sum of proper divisors (its aliquot sum) s(n): 527254833265888
• 345115959816992 is an abundant number, because the sum of its proper divisors (527254833265888) is greater than itself. Its abundance is 182138873448896

Bases of 345115959816992

• Binary: 1001110011110000110010010001100001111001100100000₂
• Hexadecimal: 0x139E19230F320
• Base-36: 3EC02ZUF4W

Squares and roots of 345115959816992

• 345115959816992 squared (345115959816992²) is 119105025720403636818131928064
• 345115959816992 cubed (345115959816992³) is 41105045270524620160941316993645613548863488
• The square root of 345115959816992 is 18577296.8920936395
• The cube root of 345115959816992 is 70143.6478615073

Scales and comparisons

• 345,115,959,816,992 seconds is equal to 10,973,620 years, 3 days, 1 hour, 36 minutes, 32 seconds.
• To count from 1 to 345,115,959,816,992 would take you about twenty-seven million, four hundred thirty-four thousand and fifty 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 345115959816992 cubic inches would be around 5845.3 feet tall.

Recreational maths with 345115959816992

• 345115959816992 backwards is 299618959511543
• The number of decimal digits it has is: 15
• The sum of 345115959816992's digits is 77
• More coming soon!