46406848866438144
46,406,848,866,438,144 is an even composite number composed of five prime numbers multiplied together.
46406848866438144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 46406848866438144:
210 × 3 × 72 × 61 × 5053996693
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 61 × 5053996693)See below for interesting mathematical facts about the number 46406848866438144 from the Numbermatics database.
Names of 46406848866438144
- Cardinal: 46406848866438144 can be written as Forty-six quadrillion, four hundred six trillion, eight hundred forty-eight billion, eight hundred sixty-six million, four hundred thirty-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.6406848866438144 × 1016
Factors of 46406848866438144
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 5053996766
Divisors of 46406848866438144
- Number of divisors d(n): 264
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 61 64 84 96 98 112 122 128 147 168 183 192 196 224 244 256 294 336 366 384 392 427 448 488 512 588 672 732 768 784 854 896 976 1024 1176 1281 1344 1464 1536 1568 1708 1792 1952 2352 2562 2688 2928 2989 3072 3136 3416 3584 3904 4704 5124 5376 5856 5978 6272 6832 7168 7808 8967 9408 10248 10752 11712 11956 12544 13664 15616 17934 18816 20496 21504 23424 23912 25088 27328 31232 35868 37632 40992 46848 47824 50176 54656 62464 71736 75264 81984 93696 95648 109312 143472 150528 163968 187392 191296 218624 286944 327936 382592 437248 573888 655872 765184 1147776 1311744 1530368 2295552 3060736 4591104 9182208 5053996693 10107993386 15161990079 20215986772 30323980158 35377976851 40431973544 60647960316 70755953702 80863947088 106133930553 121295920632 141511907404 161727894176 212267861106 242591841264 247645837957 283023814808 308293798273 323455788352 424535722212 485183682528 495291675914 566047629616 616587596546 646911576704 742937513871 849071444424 924881394819 970367365056 990583351828 1132095259232 1233175193092 1293823153408 1485875027742 1698142888848 1849762789638 1940734730112 1981166703656 2158056587911 2264190518464 2466350386184 2587646306816 2971750055484 3396285777696 3699525579276 3881469460224 3962333407312 4316113175822 4528381036928 4932700772368 5175292613632 5943500110968 6474169763733 6792571555392 7399051158552 7762938920448 7924666814624 8632226351644 9056762073856 9865401544736 11887000221936 12948339527466 13585143110784 14798102317104 15106396115377 15525877840896 15849333629248 17264452703288 18113524147712 19730803089472 23774000443872 25896679054932 27170286221568 29596204634208 30212792230754 31698667258496 34528905406576 36227048295424 39461606178944 45319188346131 47548000887744 51793358109864 54340572443136 59192409268416 60425584461508 63397334516992 69057810813152 78923212357888 90638376692262 95096001775488 103586716219728 108681144886272 118384818536832 120851168923016 126794669033984 138115621626304 157846424715776 181276753384524 190192003550976 207173432439456 236769637073664 241702337846032 253589338067968 276231243252608 315692849431552 362553506769048 380384007101952 414346864878912 473539274147328 483404675692064 552462486505216 725107013538096 760768014203904 828693729757824 947078548294656 966809351384128 1104924973010432 1450214027076192 1657387459515648 1933618702768256 2209849946020864 2900428054152384 3314774919031296 3867237405536512 5800856108304768 6629549838062592 7734474811073024 11601712216609536 15468949622146048 23203424433219072 46406848866438144
- Sum of all divisors σ(n): 146244429504288048
- Sum of proper divisors (its aliquot sum) s(n): 99837580637849904
- 46406848866438144 is an abundant number, because the sum of its proper divisors (99837580637849904) is greater than itself. Its abundance is 53430731771411760
Bases of 46406848866438144
- Binary: 101001001101111011001000011111011101010001001100000000002
- Hexadecimal: 0xA4DEC87DD44C00
- Base-36: COXUS21QVPC
Squares and roots of 46406848866438144
- 46406848866438144 squared (464068488664381442) is 2153595621712431250735281378164736
- 46406848866438144 cubed (464068488664381443) is 99941586536231690166367125768397255126943986089984
-
The
square root of 46406848866438144 is 215422489.2309021295 -
The
cube root of 46406848866438144 is 359358.0350888403
Scales and comparisons
How big is 46406848866438144?- 46,406,848,866,438,144 seconds is equal to 1,475,594,248 years, 7 weeks, 3 days, 12 hours, 22 minutes, 24 seconds.
-
To count from 1 to 46,406,848,866,438,144 would take you about four billion, four hundred twenty-six million, seven hundred eighty-two thousand, seven hundred forty-four 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 46406848866438144 cubic inches would be around 29946.5 feet tall.
Recreational maths with 46406848866438144
- 46406848866438144 backwards is 44183466884860464
- 46406848866438144 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 46406848866438144's digits is 84
- More coming soon!
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