138417920640
138,417,920,640 is an even composite number composed of six prime numbers multiplied together.
138417920640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138417920640:
27 × 32 × 5 × 53 × 61 × 7433
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 53 × 61 × 7433)See below for interesting mathematical facts about the number 138417920640 from the Numbermatics database.
Names of 138417920640
- Cardinal: 138417920640 can be written as One hundred thirty-eight billion, four hundred seventeen million, nine hundred twenty thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3841792064 × 1011
Factors of 138417920640
Divisors of 138417920640
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 53 60 61 64 72 80 90 96 106 120 122 128 144 159 160 180 183 192 212 240 244 265 288 305 318 320 360 366 384 424 477 480 488 530 549 576 610 636 640 720 732 795 848 915 954 960 976 1060 1098 1152 1220 1272 1440 1464 1590 1696 1830 1908 1920 1952 2120 2196 2385 2440 2544 2745 2880 2928 3180 3233 3392 3660 3816 3904 4240 4392 4770 4880 5088 5490 5760 5856 6360 6466 6784 7320 7433 7632 7808 8480 8784 9540 9699 9760 10176 10980 11712 12720 12932 14640 14866 15264 16165 16960 17568 19080 19398 19520 20352 21960 22299 23424 25440 25864 29097 29280 29732 30528 32330 33920 35136 37165 38160 38796 39040 43920 44598 48495 50880 51728 58194 58560 59464 61056 64660 66897 70272 74330 76320 77592 87840 89196 96990 101760 103456 111495 116388 117120 118928 129320 133794 145485 148660 152640 155184 175680 178392 193980 206912 222990 232776 237856 258640 267588 290970 297320 305280 310368 334485 351360 356784 387960 393949 413824 445980 453413 465552 475712 517280 535176 581940 594640 620736 668970 713568 775920 787898 891960 906826 931104 951424 1034560 1070352 1163880 1181847 1189280 1241472 1337940 1360239 1427136 1551840 1575796 1783920 1813652 1862208 1969745 2069120 2140704 2267065 2327760 2363694 2378560 2675880 2720478 2854272 3103680 3151592 3545541 3567840 3627304 3724416 3939490 4080717 4281408 4534130 4655520 4727388 4757120 5351760 5440956 5909235 6207360 6303184 6801195 7091082 7135680 7254608 7878980 8161434 8562816 9068260 9311040 9454776 10703520 10881912 11818470 12606368 13602390 14182164 14271360 14509216 15757960 16322868 17727705 18136520 18622080 18909552 20403585 21407040 21763824 23636940 24030889 25212736 27204780 28364328 29018432 31515920 32645736 35455410 36273040 37819104 40807170 42814080 43527648 47273880 48061778 50425472 54409560 56728656 58036864 63031840 65291472 70910820 72092667 72546080 75638208 81614340 87055296 94547760 96123556 108819120 113457312 120154445 126063680 130582944 141821640 144185334 145092160 151276416 163228680 174110592 189095520 192247112 216278001 217638240 226914624 240308890 252127360 261165888 283643280 288370668 290184320 326457360 360463335 378191040 384494224 432556002 435276480 453829248 480617780 522331776 567286560 576741336 652914720 720926670 756382080 768988448 865112004 870552960 961235560 1081390005 1134573120 1153482672 1305829440 1441853340 1537976896 1730224008 1922471120 2162780010 2269146240 2306965344 2611658880 2883706680 3075953792 3460448016 3844942240 4325560020 4613930688 5767413360 6920896032 7689884480 8651120040 9227861376 11534826720 13841792064 15379768960 17302240080 23069653440 27683584128 34604480160 46139306880 69208960320 138417920640
- Sum of all divisors σ(n): 495042846480
- Sum of proper divisors (its aliquot sum) s(n): 356624925840
- 138417920640 is an abundant number, because the sum of its proper divisors (356624925840) is greater than itself. Its abundance is 218207005200
Bases of 138417920640
- Binary: 100000001110100101100111011010100000002
- Hexadecimal: 0x203A59DA80
- Base-36: 1RL6GF40
Squares and roots of 138417920640
- 138417920640 squared (1384179206402) is 19159520754301338009600
- 138417920640 cubed (1384179206403) is 2652021023269315543258628358144000
-
The
square root of 138417920640 is 372045.5894645171 -
The
cube root of 138417920640 is 5172.8605828557
Scales and comparisons
How big is 138417920640?- 138,417,920,640 seconds is equal to 4,401 years, 13 weeks, 4 days, 6 hours, 24 minutes.
-
To count from 1 to 138,417,920,640 would take you about eight thousand, eight hundred two 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 138417920640 cubic inches would be around 431.1 feet tall.
Recreational maths with 138417920640
- 138417920640 backwards is 046029714831
- 138417920640 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138417920640's digits is 45
- More coming soon!
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The information we have on file for 138417920640 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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