138008098167297750
138,008,098,167,297,750 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138008098167297750 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2016 divisors.
138008098167297750 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 138008098167297750:
2 × 36 × 53 × 7 × 17 × 2412 × 3312
(2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 17 × 241 × 241 × 331 × 331)See below for interesting mathematical facts about the number 138008098167297750 from the Numbermatics database.
Names of 138008098167297750
- Cardinal: 138008098167297750 can be written as One hundred thirty-eight quadrillion, eight trillion, ninety-eight billion, one hundred sixty-seven million, two hundred ninety-seven thousand, seven hundred fifty.
Scientific notation
- Scientific notation: 1.3800809816729775 × 1017
Factors of 138008098167297750
Divisors of 138008098167297750
- Number of divisors d(n): 2016
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Complete list of divisors:
1 2 3 5 6 7 9 10 14 15 17 18 21 25 27 30 34 35 42 45 50 51 54 63 70 75 81 85 90 102 105 119 125 126 135 150 153 162 170 175 189 210 225 238 241 243 250 255 270 306 315 331 350 357 375 378 405 425 450 459 482 486 510 525 567 595 630 662 675 714 723 729 750 765 810 850 875 918 945 993 1050 1071 1125 1134 1190 1205 1215 1275 1350 1377 1446 1458 1530 1575 1655 1687 1701 1750 1785 1890 1986 2025 2125 2142 2169 2250 2295 2317 2410 2430 2550 2625 2754 2835 2975 2979 3150 3213 3310 3374 3375 3402 3570 3615 3645 3825 4050 4097 4131 4250 4338 4590 4634 4725 4965 5061 5103 5250 5355 5627 5670 5950 5958 6025 6075 6375 6426 6507 6750 6885 6951 7230 7290 7650 7875 8194 8262 8275 8435 8505 8925 8937 9450 9639 9930 10122 10125 10206 10710 10845 11254 11475 11585 12050 12150 12291 12393 12750 13014 13770 13902 14175 14875 14895 15183 15750 16065 16550 16870 16881 17010 17850 17874 18075 18225 19125 19278 19521 20250 20485 20655 20853 21690 22950 23170 23625 24582 24786 24825 25305 25515 26775 26811 28135 28350 28679 28917 29750 29790 30125 30366 30375 32130 32535 33762 34425 34755 36150 36450 36873 38250 39042 39389 40970 41310 41375 41706 42175 42525 44625 44685 45549 47250 48195 49650 50610 50643 51030 53550 53622 54225 56270 57358 57375 57834 57925 58081 58563 60250 60750 61455 61965 62559 65070 68850 69510 70875 73746 74475 75915 78778 79771 80325 80433 82750 84350 84405 85050 86037 86751 89250 89370 90375 91098 91125 96390 97605 101286 102425 103275 104265 108450 109561 110619 114750 115850 116162 117126 118167 122910 123930 124125 125118 126525 127575 133875 134055 136647 140675 141750 143395 144585 148950 151830 151929 159542 160650 160866 162675 168810 172074 172125 173502 173775 174243 175689 180750 182250 184365 187677 195210 196945 204850 206550 208530 210875 212625 219122 221238 223425 227745 236334 239313 240975 241299 248250 253050 253215 255150 258111 267750 268110 271125 273294 281350 286790 289170 289625 290405 292815 303858 307275 309825 312795 325350 328683 331857 344250 347550 348486 351378 354501 368730 372375 375354 379575 393890 398855 401625 402165 406567 409941 421750 422025 425250 430185 433755 446850 455490 455787 478626 481950 482598 488025 506430 512125 516222 516375 521325 522729 542250 547805 553095 558397 563031 579250 580810 585630 590835 614550 619650 625590 632625 637875 657366 663714 670275 683235 703375 709002 716975 717939 722925 744750 759150 759645 766927 774333 797710 803250 804330 813134 813375 819882 844050 860370 867510 868875 871215 878445 911574 921825 938385 976050 984725 986049 987377 995571 1024250 1032750 1042650 1045458 1063503 1095610 1106190 1116794 1117125 1126062 1138725 1181670 1196565 1204875 1206495 1219701 1229823 1265250 1266075 1275750 1290555 1340550 1356107 1366470 1367361 1406750 1433950 1435878 1445850 1452025 1464075 1519290 1533854 1536375 1548666 1549125 1563975 1568187 1626750 1643415 1659285 1675191 1689093 1737750 1742430 1756890 1772505 1843650 1862537 1876770 1897875 1969450 1972098 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3066846625939950 3285907099221375 3943088519065650 4059061710802875 4600269938909925 5111411043233250 5520323926691910 6571814198442750 7667116564849875 8118123421605750 9200539877819850 9857721297664125 13800809816729775 15334233129699750 19715442595328250 23001349694549625 27601619633459550 46002699389099250 69004049083648875 138008098167297750
- Sum of all divisors σ(n): 472104773423285184
- Sum of proper divisors (its aliquot sum) s(n): 334096675255987434
- 138008098167297750 is an abundant number, because the sum of its proper divisors (334096675255987434) is greater than itself. Its abundance is 196088577088689684
Bases of 138008098167297750
- Binary: 1111010100100110110100010010100110110001110010110110101102
- Hexadecimal: 0x1EA4DA2536396D6
- Base-36: 11QVSD1TB3DI
Squares and roots of 138008098167297750
- 138008098167297750 squared (1380080981672977502) is 19046235159754492582347537155062500
- 138008098167297750 cubed (1380080981672977503) is 2628534691644835956442709139172939380208357359375000
-
The
square root of 138008098167297750 is 371494412.0270152193 -
The
cube root of 138008098167297750 is 516775.0333691205
Scales and comparisons
How big is 138008098167297750?- 138,008,098,167,297,750 seconds is equal to 4,388,230,634 years, 33 weeks, 3 days, 9 hours, 22 minutes, 30 seconds.
-
To count from 1 to 138,008,098,167,297,750 would take you about thirteen billion, one hundred sixty-four million, six hundred ninety-one thousand, nine hundred 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 138008098167297750 cubic inches would be around 43064.6 feet tall.
Recreational maths with 138008098167297750
- 138008098167297750 backwards is 057792761890800831
- 138008098167297750 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138008098167297750's digits is 81
- More coming soon!
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Numbermatics. (2024). Number 138008098167297750 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/138008098167297750/
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The information we have on file for 138008098167297750 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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