138003063744000
138,003,063,744,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138003063744000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 5760 divisors.
138003063744000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of five thousand, seven hundred sixty divisors.
Prime factorization of 138003063744000:
29 × 3 × 53 × 72 × 132 × 29 × 41 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 29 × 41 × 73)See below for interesting mathematical facts about the number 138003063744000 from the Numbermatics database.
Names of 138003063744000
- Cardinal: 138003063744000 can be written as One hundred thirty-eight trillion, three billion, sixty-three million, seven hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.38003063744 × 1014
Factors of 138003063744000
Divisors of 138003063744000
- Number of divisors d(n): 5760
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 29 30 32 35 39 40 41 42 48 49 50 52 56 58 60 64 65 70 73 75 78 80 82 84 87 91 96 98 100 104 105 112 116 120 123 125 128 130 140 145 146 147 150 156 160 164 168 169 174 175 182 192 195 196 200 203 205 208 210 219 224 232 240 245 246 250 256 260 273 280 287 290 292 294 300 312 320 325 328 336 338 348 350 364 365 375 377 384 390 392 400 406 410 416 420 435 438 448 455 464 480 490 492 500 507 511 512 520 525 533 546 560 574 580 584 588 600 609 615 624 637 640 650 656 672 676 696 700 725 728 730 735 750 754 768 780 784 800 812 820 832 840 845 861 870 875 876 896 910 928 949 960 975 980 984 1000 1014 1015 1022 1025 1040 1050 1066 1092 1095 1120 1131 1148 1160 1168 1176 1183 1189 1200 1218 1225 1230 1248 1274 1280 1300 1312 1344 1352 1365 1392 1400 1421 1435 1450 1456 1460 1470 1500 1508 1533 1536 1560 1568 1599 1600 1624 1625 1640 1664 1680 1690 1722 1740 1750 1752 1792 1820 1825 1856 1885 1898 1911 1920 1950 1960 1968 2000 2009 2028 2030 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396560528000 408293088000 410723404000 420741048000 424624811520 431259574200 442317512000 460010212480 469398176000 472613232000 475872633600 480846912000 492868084800 505505728000 530781014400 539074467750 552012254976 560988064000 563277811200 575012765600 594840792000 616085106000 630150976000 657157446400 663476268000 673185676800 679818048000 690015318720 704097264000 707708019200 718765957000 758258592000 788588935680 793121056000 816586176000 821446808000 841482096000 862519148400 884635024000 920020424960 938796352000 945226464000 951745267200 985736169600 1061562028800 1078148935500 1104024509952 1121976128000 1150025531200 1189681584000 1232170212000 1314314892800 1326952536000 1380030637440 1408194528000 1437531914000 1516517184000 1586242112000 1642893616000 1682964192000 1725038296800 1769270048000 1840040849920 1890452928000 1971472339200 2123124057600 2156297871000 2300051062400 2379363168000 2464340424000 2653905072000 2760061274880 2816389056000 2875063828000 3285787232000 3365928384000 3450076593600 3538540096000 3942944678400 4312595742000 4600102124800 4758726336000 4928680848000 5307810144000 5520122549760 5750127656000 6571574464000 6900153187200 8625191484000 9200204249600 9857361696000 10615620288000 11500255312000 13800306374400 17250382968000 19714723392000 23000510624000 27600612748800 34500765936000 46001021248000 69001531872000 138003063744000
- Sum of all divisors σ(n): 620852499146880
- Sum of proper divisors (its aliquot sum) s(n): 482849435402880
- 138003063744000 is an abundant number, because the sum of its proper divisors (482849435402880) is greater than itself. Its abundance is 344846371658880
Bases of 138003063744000
- Binary: 111110110000011010101111001011110100110000000002
- Hexadecimal: 0x7D835797A600
- Base-36: 1CX1QD0PHC
Squares and roots of 138003063744000
- 138003063744000 squared (1380030637440002) is 19044845602730527297536000000
- 138003063744000 cubed (1380030637440003) is 2628247041708259059096592662134784000000000
-
The
square root of 138003063744000 is 11747470.5253514043 -
The
cube root of 138003063744000 is 51676.8749448253
Scales and comparisons
How big is 138003063744000?- 138,003,063,744,000 seconds is equal to 4,388,070 years, 28 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 138,003,063,744,000 would take you about ten million, nine hundred seventy thousand, one hundred seventy-six 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 138003063744000 cubic inches would be around 4306.4 feet tall.
Recreational maths with 138003063744000
- 138003063744000 backwards is 000447360300831
- 138003063744000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138003063744000's digits is 39
- More coming soon!
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MLA style:
"Number 138003063744000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 138003063744000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/138003063744000/
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Numbermatics. 2024. "Number 138003063744000 - Facts about the integer". https://numbermatics.com/n/138003063744000/
The information we have on file for 138003063744000 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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