137648400813
137,648,400,813 is an odd composite number composed of five prime numbers multiplied together.
137648400813 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred divisors.
Prime factorization of 137648400813:
34 × 74 × 11 × 372 × 47
(3 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 11 × 37 × 37 × 47)See below for interesting mathematical facts about the number 137648400813 from the Numbermatics database.
Names of 137648400813
- Cardinal: 137648400813 can be written as One hundred thirty-seven billion, six hundred forty-eight million, four hundred thousand, eight hundred thirteen.
Scientific notation
- Scientific notation: 1.37648400813 × 1011
Factors of 137648400813
Divisors of 137648400813
- Number of divisors d(n): 300
-
Complete list of divisors:
1 3 7 9 11 21 27 33 37 47 49 63 77 81 99 111 141 147 189 231 259 297 329 333 343 407 423 441 517 539 567 693 777 891 987 999 1029 1221 1269 1323 1369 1551 1617 1739 1813 2079 2303 2331 2401 2849 2961 2997 3087 3619 3663 3773 3807 3969 4107 4653 4851 5217 5439 6237 6909 6993 7203 8547 8883 9261 9583 10857 10989 11319 12173 12321 12691 13959 14553 15059 15651 16121 16317 19129 19943 20727 20979 21609 25333 25641 26411 26649 27783 28749 32571 32967 33957 36519 36963 38073 41877 43659 45177 46953 48363 48951 57387 59829 62181 64343 64827 67081 75999 76923 79233 85211 86247 88837 97713 101871 105413 109557 110889 112847 114219 133903 135531 139601 140859 145089 146853 172161 177331 179487 186543 193029 194481 201243 227997 230769 237699 255633 258741 266511 293139 305613 316239 328671 338541 342657 401709 406593 418803 435267 450401 469567 516483 531993 538461 579087 596477 603729 683991 707773 713097 737891 766899 776223 799533 937321 948717 977207 986013 1015623 1027971 1205127 1219779 1241317 1256409 1305801 1351203 1408701 1549449 1595979 1615383 1737261 1789431 1811187 2051973 2123319 2139291 2213673 2300697 2398599 2811963 2846151 2931621 3046869 3152807 3286969 3615381 3723951 3769227 4053609 4175339 4226103 4787937 4954411 5165237 5211783 5368293 5433561 6369957 6561247 6641019 6902091 7195797 8435889 8538453 8794863 9140607 9458421 9860907 10846143 11171853 11307681 12160827 12526017 12678309 14363811 14863233 15495711 16104879 19109871 19683741 19923057 22069649 25307667 26384589 28375263 29582721 33515559 34680877 36156659 36482481 37578051 38034927 44589699 45928729 46487133 48314637 57329613 59051223 59769171 66208947 75923001 79153767 85125789 88748163 100546677 104042631 108469977 112734153 133769097 137786187 139461399 154487543 177153669 198626841 242766139 255377367 266244489 312127893 325409931 338202459 401307291 413358561 418384197 463462629 531461007 595880523 728298417 936383679 976229793 1240075683 1390387887 1699362973 1787641569 2184895251 2809151037 2928689379 3720227049 4171163661 5098088919 6554685753 12513490983 15294266757 19664057259 45882800271 137648400813
- Sum of all divisors σ(n): 274672423872
- Sum of proper divisors (its aliquot sum) s(n): 137024023059
- 137648400813 is a deficient number, because the sum of its proper divisors (137024023059) is less than itself. Its deficiency is 624377754
Bases of 137648400813
- Binary: 100000000011000111101111101001101011012
- Hexadecimal: 0x200C7BE9AD
- Base-36: 1R8GAXT9
Squares and roots of 137648400813
- 137648400813 squared (1376484008132) is 18947082246376299060969
- 137648400813 cubed (1376484008133) is 2608035571286081229967816436167797
-
The
square root of 137648400813 is 371009.9740074383 -
The
cube root of 137648400813 is 5163.2567727897
Scales and comparisons
How big is 137648400813?- 137,648,400,813 seconds is equal to 4,376 years, 41 weeks, 1 day, 18 hours, 53 minutes, 33 seconds.
-
To count from 1 to 137,648,400,813 would take you about eight thousand, seven hundred fifty-three 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 137648400813 cubic inches would be around 430.3 feet tall.
Recreational maths with 137648400813
- 137648400813 backwards is 318004846731
- The number of decimal digits it has is: 12
- The sum of 137648400813's digits is 45
- More coming soon!
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