137005004324864
137,005,004,324,864 is an even composite number composed of four prime numbers multiplied together.
What does the number 137005004324864 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 192 divisors.
137005004324864 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 137005004324864:
215 × 13 × 31 × 32212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 31 × 3221 × 3221)See below for interesting mathematical facts about the number 137005004324864 from the Numbermatics database.
Names of 137005004324864
- Cardinal: 137005004324864 can be written as One hundred thirty-seven trillion, five billion, four million, three hundred twenty-four thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 1.37005004324864 × 1014
Factors of 137005004324864
Divisors of 137005004324864
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 512 806 832 992 1024 1612 1664 1984 2048 3221 3224 3328 3968 4096 6442 6448 6656 7936 8192 12884 12896 13312 15872 16384 25768 25792 26624 31744 32768 41873 51536 51584 53248 63488 83746 99851 103072 103168 106496 126976 167492 199702 206144 206336 212992 253952 334984 399404 412288 412672 425984 507904 669968 798808 824576 825344 1015808 1298063 1339936 1597616 1649152 1650688 2596126 2679872 3195232 3298304 3301376 5192252 5359744 6390464 6596608 6602752 10374841 10384504 10719488 12780928 13193216 13205504 20749682 20769008 21438976 25561856 26386432 41499364 41538016 42877952 51123712 52772864 82998728 83076032 85755904 102247424 105545728 134872933 165997456 166152064 171511808 204494848 269745866 321620071 331994912 332304128 343023616 408989696 539491732 643240142 663989824 664608256 686047232 817979392 1078983464 1286480284 1327979648 1329216512 1372094464 1635958784 2157966928 2572960568 2655959296 2658433024 3271917568 4181060923 4315933856 5145921136 5311918592 5316866048 8362121846 8631867712 10291842272 10623837184 10633732096 16724243692 17263735424 20583684544 21247674368 21267464192 33448487384 34527470848 41167369088 42495348736 42534928384 66896974768 69054941696 82334738176 84990697472 133793949536 138109883392 164669476352 169981394944 267587899072 276219766784 329338952704 339962789888 535175798144 552439533568 658677905408 1070351596288 1104879067136 1317355810816 2140703192576 2209758134272 2634711621632 4281406385152 4419516268544 5269423243264 8562812770304 10538846486528 17125625540608 34251251081216 68502502162432 137005004324864
- Sum of all divisors σ(n): 304696608699840
- Sum of proper divisors (its aliquot sum) s(n): 167691604374976
- 137005004324864 is an abundant number, because the sum of its proper divisors (167691604374976) is greater than itself. Its abundance is 30686600050112
Bases of 137005004324864
- Binary: 111110010011010111101101001110110000000000000002
- Hexadecimal: 0x7C9AF69D8000
- Base-36: 1CKB8A7KZK
Squares and roots of 137005004324864
- 137005004324864 squared (1370050043248642) is 18770371210056003344448618496
- 137005004324864 cubed (1370050043248643) is 2571634788813025451213829825329909983084544
-
The
square root of 137005004324864 is 11704913.6829309425 -
The
cube root of 137005004324864 is 51551.9950351673
Scales and comparisons
How big is 137005004324864?- 137,005,004,324,864 seconds is equal to 4,356,335 years, 18 weeks, 2 days, 13 hours, 47 minutes, 44 seconds.
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To count from 1 to 137,005,004,324,864 would take you about ten million, eight hundred ninety thousand, eight hundred thirty-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 137005004324864 cubic inches would be around 4296 feet tall.
Recreational maths with 137005004324864
- 137005004324864 backwards is 468423400500731
- The number of decimal digits it has is: 15
- The sum of 137005004324864's digits is 47
- More coming soon!
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