814513064767920

Names of 814513064767920

• Cardinal: 814513064767920 can be written as Eight hundred fourteen trillion, five hundred thirteen billion, sixty-four million, seven hundred sixty-seven thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 8.1451306476792 × 10¹⁴

Factors of 814513064767920

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 389318

Divisors of 814513064767920

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 127 135 140 144 168 180 189 210 216 240 252 254 270 280 315 336 360 378 381 420 432 504 508 540 560 630 635 720 756 762 840 889 945 1008 1016 1080 1093 1143 1260 1270 1512 1524 1680 1778 1890 1905 2032 2160 2186 2286 2520 2540 2667 3024 3048 3279 3429 3556 3780 3810 4372 4445 4572 5040 5080 5334 5465 5715 6096 6558 6858 7112 7560 7620 7651 8001 8744 8890 9144 9837 10160 10668 10930 11430 13116 13335 13716 14224 15120 15240 15302 16002 16395 17145 17488 17780 18288 19674 21336 21860 22860 22953 24003 26232 26670 27432 29511 30480 30604 32004 32790 34290 35560 38255 39348 40005 42672 43720 45720 45906 48006 49185 52464 53340 54864 59022 61208 64008 65580 68580 68859 71120 76510 78696 80010 87440 91440 91812 96012 98370 106680 114765 118044 120015 122416 128016 131160 137160 137718 138811 147555 153020 157392 160020 183624 192024 196740 206577 213360 229530 236088 240030 262320 274320 275436 277622 295110 306040 320040 344295 367248 384048 388081 393480 413154 416433 459060 472176 480060 550872 555244 590220 612080 640080 688590 694055 776162 786960 826308 832866 918120 960120 971677 1032885 1101744 1110488 1164243 1180440 1249299 1377180 1388110 1552324 1652616 1665732 1836240 1920240 1940405 1943354 2065770 2082165 2220976 2328486 2360880 2498598 2716567 2754360 2776220 2915031 3104648 3305232 3331464 3492729 3747897 3880810 3886708 4131540 4164330 4656972 4858385 4997196 5433134 5508720 5552440 5821215 5830062 6209296 6246495 6662928 6985458 7495794 7761620 7773416 8149701 8263080 8328660 8745093 9313944 9716770 9994392 10478187 10866268 11104880 11642430 11660124 12492990 13582835 13970916 14575155 14991588 15523240 15546832 16299402 16526160 16657320 17463645 17490186 18627888 18739485 19433540 19988784 20956374 21732536 23284860 23320248 24449103 24985980 26235279 27165670 27941832 29150310 29983176 31046480 32598804 33314640 34927290 34980372 37478970 38867080 40748505 41912748 43465072 43725465 46569720 46640496 48898206 49286287 49971960 52390935 52470558 54331340 55883664 58300620 59966352 65197608 69854580 69960744 73347309 74957940 77734160 81497010 83825496 87450930 93139440 97796412 98572574 99943920 104781870 104941116 108662680 116601240 122245515 130395216 131176395 139709160 139921488 146694618 147858861 149915880 162994020 167650992 174901860 195592824 197145148 209563740 209882232 217325360 233202480 244491030 246431435 262352790 279418320 293389236 295717722 299831760 325988040 345004009 349803720 366736545 391185648 394290296 419127480 419764464 424172533 443576583 488982060 492862870 524705580 586778472 591435444 651976080 690008018 699607440 733473090 739294305 788580592 838254960 848345066 887153166 977964120 985725740 1035012027 1049411160 1173556944 1182870888 1272517599 1330729749 1380016036 1466946180 1478588610 1696690132 1725020045 1774306332 1955928240 1971451480 2070024054 2098822320 2120862665 2217882915 2365741776 2545035198 2661459498 2760032072 2933892360 2957177220 2969207731 3105036081 3393380264 3450040090 3548612664 3817552797 3942902960 4140048108 4241725330 4435765830 5090070396 5175060135 5322918996 5520064144 5867784720 5914354440 5938415462 6210072162 6362587995 6653648745 6786760528 6900080180 7097225328 7635105594 8280096216 8483450660 8871531660 8907623193 9315108243 10180140792 10350120270 10645837992 11452658391 11828708880 11876830924 12420144324 12725175990 13307297490 13800160360 14846038655 15270211188 15525180405 16560192432 16966901320 17743063320 17815246386 18630216486 19087763985 20360281584 20700240540 21291675984 22905316782 23753661848 24840288648 25450351980 26614594980 26722869579 27600320720 29692077310 30540422376 31050360810 33933802640 35486126640 35630492772 37260432972 38175527970 41400481080 44538115965 45810633564 46575541215 47507323696 49680577296 50900703960 53229189960 53445739158 53869911691 57263291955 59384154620 61080844752 62100721620 71260985544 74520865944 76351055940 80168608737 82800962160 89076231930 91621267128 93151082430 101801407920 106458379920 106891478316 107739823382 114526583910 118768309240 124201443240 133614347895 142521971088 149041731888 152702111880 160337217474 161609735073 178152463860 183242534256 186302164860 213782956632 215479646764 229053167820 237536618480 248402886480 267228695790 269349558455 305404223760 320674434948 323219470146 356304927720 372604329720 377089381837 400843043685 427565913264 430959293528 458106335640 484829205219 534457391580 538699116910 641348869896 646438940292 712609855440 745208659440 754178763674 801686087370 808048675365 861918587056 916212671280 969658410438 1068914783160 1077398233820 1131268145511 1282697739792 1292877880584 1454487615657 1508357527348 1603372174740 1616097350730 1885446909185 1939316820876 2137829566320 2154796467640 2262536291022 2424146026095 2585755761168 2908975231314 3016715054696 3206744349480 3232194701460 3393804436533 3770893818370 3878633641752 4309592935280 4525072582044 4848292052190 5656340727555 5817950462628 6033430109392 6413488698960 6464389402920 6787608873066 7272438078285 7541787636740 7757267283504 9050145164088 9696584104380 10181413309599 11312681455110 11635900925256 12928778805840 13575217746132 14544876156570 15083575273480 16969022182665 18100290328176 19393168208760 20362826619198 22625362910220 23271801850512 27150435492264 29089752313140 30167150546960 33938044365330 38786336417520 40725653238396 45250725820440 50907066547995 54300870984528 58179504626280 67876088730660 81451306476792 90501451640880 101814133095990 116359009252560 135752177461320 162902612953584 203628266191980 271504354922640 407256532383960 814513064767920
• Sum of all divisors σ(n): 3234548846100480
• Sum of proper divisors (its aliquot sum) s(n): 2420035781332560
• 814513064767920 is an abundant number, because the sum of its proper divisors (2420035781332560) is greater than itself. Its abundance is 1605522716564640

Bases of 814513064767920

• Binary: 10111001001100101110011001111000111111000110110000₂
• Hexadecimal: 0x2E4CB99E3F1B0
• Base-36: 80PY4WNPO0

Squares and roots of 814513064767920

• 814513064767920 squared (814513064767920²) is 663431532677629840803461126400
• 814513064767920 cubed (814513064767920³) is 540373650944934748464464851218749157785088000
• The square root of 814513064767920 is 28539675.2743951171
• The cube root of 814513064767920 is 93389.7798414729

Scales and comparisons

• 814,513,064,767,920 seconds is equal to 25,898,996 years, 1 day, 22 hours, 12 minutes.
• To count from 1 to 814,513,064,767,920 would take you about sixty-four million, seven hundred forty-seven thousand, four hundred ninety 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 814513064767920 cubic inches would be around 7782.5 feet tall.

Recreational maths with 814513064767920

• 814513064767920 backwards is 029767460315418
• 814513064767920 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 814513064767920's digits is 63
• More coming soon!