46923142842404136
46,923,142,842,404,136 is an even composite number composed of six prime numbers multiplied together.
46923142842404136 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 46923142842404136:
23 × 32 × 72 × 11 × 601 × 2011830367
(2 × 2 × 2 × 3 × 3 × 7 × 7 × 11 × 601 × 2011830367)See below for interesting mathematical facts about the number 46923142842404136 from the Numbermatics database.
Names of 46923142842404136
- Cardinal: 46923142842404136 can be written as Forty-six quadrillion, nine hundred twenty-three trillion, one hundred forty-two billion, eight hundred forty-two million, four hundred four thousand, one hundred thirty-six.
Scientific notation
- Scientific notation: 4.6923142842404136 × 1016
Factors of 46923142842404136
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 2011830991
Divisors of 46923142842404136
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 49 56 63 66 72 77 84 88 98 99 126 132 147 154 168 196 198 231 252 264 294 308 392 396 441 462 504 539 588 601 616 693 792 882 924 1078 1176 1202 1386 1617 1764 1803 1848 2156 2404 2772 3234 3528 3606 4207 4312 4808 4851 5409 5544 6468 6611 7212 8414 9702 10818 12621 12936 13222 14424 16828 19404 19833 21636 25242 26444 29449 33656 37863 38808 39666 43272 46277 50484 52888 58898 59499 75726 79332 88347 92554 100968 117796 118998 138831 151452 158664 176694 185108 235592 237996 265041 277662 302904 323939 353388 370216 416493 475992 530082 555324 647878 706776 832986 971817 1060164 1110648 1295756 1665972 1943634 2120328 2591512 2915451 3331944 3887268 5830902 7774536 11661804 23323608 2011830367 4023660734 6035491101 8047321468 12070982202 14082812569 16094642936 18106473303 22130134037 24141964404 28165625138 36212946606 42248437707 44260268074 48283928808 56331250276 66390402111 72425893212 84496875414 88520536148 98579687983 112662500552 126745313121 132780804222 144851786424 154910938259 168993750828 177041072296 197159375966 199171206333 253490626242 265561608444 295739063949 309821876518 337987501656 394318751932 398342412666 464732814777 506981252484 531123216888 591478127898 619643753036 788637503864 796684825332 887217191847 929465629554 1013962504968 1084376567813 1182956255796 1209110050567 1239287506072 1394198444331 1593369650664 1774434383694 1858931259108 2168753135626 2365912511592 2418220101134 2788396888662 3253129703439 3548868767388 3627330151701 3717862518216 4337506271252 4836440202268 5576793777324 6506259406878 7097737534776 7254660303402 8463770353969 8675012542504 9672880404536 9759389110317 10881990455103 11153587554648 13012518813756 13300210556237 14509320606804 16927540707938 19518778220634 21763980910206 25391311061907 26025037627512 26600421112474 29018641213608 33855081415876 39037556441268 39900631668711 43527961820412 50782622123814 53200842224948 59246392477783 67710162831752 76173933185721 78075112882536 79801263337422 87055923640824 93101473893659 101565244247628 106401684449896 118492784955566 119701895006133 152347866371442 159602526674844 177739177433349 186202947787318 203130488495256 236985569911132 239403790012266 279304421680977 304695732742884 319205053349688 355478354866698 372405895574636 473971139822264 478807580024532 533217532300047 558608843361954 609391465485768 651710317255613 710956709733396 744811791149272 837913265042931 957615160049064 1066435064600094 1117217686723908 1303420634511226 1421913419466792 1675826530085862 1955130951766839 2132870129200188 2234435373447816 2606841269022452 3351653060171724 3910261903533678 4265740258400376 5213682538044904 5865392855300517 6703306120343448 7820523807067356 11730785710601034 15641047614134712 23461571421202068 46923142842404136
- Sum of all divisors σ(n): 161539436559271680
- Sum of proper divisors (its aliquot sum) s(n): 114616293716867544
- 46923142842404136 is an abundant number, because the sum of its proper divisors (114616293716867544) is greater than itself. Its abundance is 67693150874463408
Bases of 46923142842404136
- Binary: 101001101011010001011001100011001101110111001101001010002
- Hexadecimal: 0xA6B4598CDDCD28
- Base-36: CU0V68GPYY0
Squares and roots of 46923142842404136
- 46923142842404136 squared (469231428424041362) is 2201781334208662499475352349906496
- 46923142842404136 cubed (469231428424041363) is 103314500052812230597932460400830848148983443667456
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The
square root of 46923142842404136 is 216617503.5457756723 -
The
cube root of 46923142842404136 is 360685.7885531351
Scales and comparisons
How big is 46923142842404136?- 46,923,142,842,404,136 seconds is equal to 1,492,010,799 years, 30 weeks, 8 hours, 15 minutes, 36 seconds.
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To count from 1 to 46,923,142,842,404,136 would take you about four billion, four hundred seventy-six million, thirty-two thousand, three hundred ninety-eight 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 46923142842404136 cubic inches would be around 30057.1 feet tall.
Recreational maths with 46923142842404136
- 46923142842404136 backwards is 63140424824132964
- 46923142842404136 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 46923142842404136's digits is 63
- More coming soon!
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