61131446391295861440
61,131,446,391,295,861,440 is an even composite number composed of six prime numbers multiplied together.
61131446391295861440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 61131446391295861440:
26 × 3 × 5 × 1609 × 1613 × 24535958417
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 1609 × 1613 × 24535958417)See below for interesting mathematical facts about the number 61131446391295861440 from the Numbermatics database.
Names of 61131446391295861440
- Cardinal: 61131446391295861440 can be written as Sixty-one quintillion, one hundred thirty-one quadrillion, four hundred forty-six trillion, three hundred ninety-one billion, two hundred ninety-five million, eight hundred sixty-one thousand, four hundred forty.
Scientific notation
- Scientific notation: 6.113144639129586144 × 1019
Factors of 61131446391295861440
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 24535961649
Divisors of 61131446391295861440
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1609 1613 3218 3226 4827 4839 6436 6452 8045 8065 9654 9678 12872 12904 16090 16130 19308 19356 24135 24195 25744 25808 32180 32260 38616 38712 48270 48390 51488 51616 64360 64520 77232 77424 96540 96780 102976 103232 128720 129040 154464 154848 193080 193560 257440 258080 308928 309696 386160 387120 514880 516160 772320 774240 1544640 1548480 2595317 5190634 7785951 10381268 12976585 15571902 20762536 25953170 31143804 38929755 41525072 51906340 62287608 77859510 83050144 103812680 124575216 155719020 166100288 207625360 249150432 311438040 415250720 498300864 622876080 830501440 1245752160 2491504320 24535958417 49071916834 73607875251 98143833668 122679792085 147215750502 196287667336 245359584170 294431501004 368039376255 392575334672 490719168340 588863002008 736078752510 785150669344 981438336680 1177726004016 1472157505020 1570301338688 1962876673360 2355452008032 2944315010040 3925753346720 4710904016064 5888630020080 7851506693440 11777260040160 23554520080320 39478357092953 39576500926621 78956714185906 79153001853242 118435071278859 118729502779863 157913428371812 158306003706484 197391785464765 197882504633105 236870142557718 237459005559726 315826856743624 316612007412968 394783570929530 395765009266210 473740285115436 474918011119452 592175356394295 593647513899315 631653713487248 633224014825936 789567141859060 791530018532420 947480570230872 949836022238904 1184350712788590 1187295027798630 1263307426974496 1266448029651872 1579134283718120 1583060037064840 1894961140461744 1899672044477808 2368701425577180 2374590055597260 2526614853948992 2532896059303744 3158268567436240 3166120074129680 3789922280923488 3799344088955616 4737402851154360 4749180111194520 6316537134872480 6332240148259360 7579844561846976 7598688177911232 9474805702308720 9498360222389040 12633074269744960 12664480296518720 18949611404617440 18996720444778080 37899222809234880 37993440889556160 63678589990933189 127357179981866378 191035769972799567 254714359963732756 318392949954665945 382071539945599134 509428719927465512 636785899909331890 764143079891198268 955178849863997835 1018857439854931024 1273571799818663780 1528286159782396536 1910357699727995670 2037714879709862048 2547143599637327560 3056572319564793072 3820715399455991340 4075429759419724096 5094287199274655120 6113144639129586144 7641430798911982680 10188574398549310240 12226289278259172288 15282861597823965360 20377148797098620480 30565723195647930720 61131446391295861440
- Sum of all divisors σ(n): 194333376293129626560
- Sum of proper divisors (its aliquot sum) s(n): 133201929901833765120
- 61131446391295861440 is an abundant number, because the sum of its proper divisors (133201929901833765120) is greater than itself. Its abundance is 72070483510537903680
Bases of 61131446391295861440
- Binary: 1101010000010111101000011010011010110001110000011001100010110000002
- Hexadecimal: 0x3505E869AC70662C0
- Base-36: CWG4P6GE52HMO
Squares and roots of 61131446391295861440
- 61131446391295861440 squared (611314463912958614402) is 3737053737891879800398135660071678873600
- 61131446391295861440 cubed (611314463912958614403) is 228451500239329265472504484682069941268549822592360873984000
-
The
square root of 61131446391295861440 is 7818660140.4138203813 -
The
cube root of 61131446391295861440 is 3939322.6865147159
Scales and comparisons
How big is 61131446391295861440?- 61,131,446,391,295,861,440 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 61,131,446,391,295,861,440 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 61131446391295861440 cubic inches would be around 328276.9 feet tall.
Recreational maths with 61131446391295861440
- 61131446391295861440 backwards is 04416859219364413116
- The number of decimal digits it has is: 20
- The sum of 61131446391295861440's digits is 78
- More coming soon!
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