138460113792000
138,460,113,792,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138460113792000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 6336 divisors.
138460113792000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of six thousand, three hundred thirty-six divisors.
Prime factorization of 138460113792000:
210 × 32 × 53 × 72 × 11 × 13 × 17 × 1009
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 11 × 13 × 17 × 1009)See below for interesting mathematical facts about the number 138460113792000 from the Numbermatics database.
Names of 138460113792000
- Cardinal: 138460113792000 can be written as One hundred thirty-eight trillion, four hundred sixty billion, one hundred thirteen million, seven hundred ninety-two thousand.
Scientific notation
- Scientific notation: 1.38460113792 × 1014
Factors of 138460113792000
Divisors of 138460113792000
- Number of divisors d(n): 6336
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 24 25 26 28 30 32 33 34 35 36 39 40 42 44 45 48 49 50 51 52 55 56 60 63 64 65 66 68 70 72 75 77 78 80 84 85 88 90 91 96 98 99 100 102 104 105 110 112 117 119 120 125 126 128 130 132 136 140 143 144 147 150 153 154 156 160 165 168 170 175 176 180 182 187 192 195 196 198 200 204 208 210 220 221 224 225 231 234 238 240 245 250 252 255 256 260 264 272 273 275 280 286 288 294 300 306 308 312 315 320 325 330 336 340 350 352 357 360 364 374 375 384 385 390 392 396 400 408 416 420 425 429 440 441 442 448 450 455 462 468 476 480 490 495 500 504 510 512 520 525 528 539 544 546 550 560 561 572 576 585 588 595 600 612 616 624 630 637 640 650 660 663 672 680 693 700 704 714 715 720 728 735 748 750 765 768 770 780 784 792 800 816 819 825 832 833 840 850 858 875 880 882 884 896 900 910 924 935 936 952 960 975 980 990 1000 1001 1008 1009 1020 1024 1040 1050 1056 1071 1078 1088 1092 1100 1105 1120 1122 1125 1144 1152 1155 1170 1176 1190 1200 1224 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5325388992000 5538404551680 5769171408000 6293641536000 6593338752000 6923005689600 7692228544000 8144712576000 8653757112000 9230674252800 9890008128000 10650777984000 11538342816000 12587283072000 13846011379200 15384457088000 17307514224000 19780016256000 23076685632000 27692022758400 34615028448000 46153371264000 69230056896000 138460113792000
- Sum of all divisors σ(n): 722709576650880
- Sum of proper divisors (its aliquot sum) s(n): 584249462858880
- 138460113792000 is an abundant number, because the sum of its proper divisors (584249462858880) is greater than itself. Its abundance is 445789349066880
Bases of 138460113792000
- Binary: 111110111101101110000011110010111101100000000002
- Hexadecimal: 0x7DEDC1E5EC00
- Base-36: 1D2VP4TFK0
Squares and roots of 138460113792000
- 138460113792000 squared (1384601137920002) is 19171203111293588619264000000
- 138460113792000 cubed (1384601137920003) is 2654446964319254720543329603289088000000000
-
The
square root of 138460113792000 is 11766907.5713205125 -
The
cube root of 138460113792000 is 51733.8613407217
Scales and comparisons
How big is 138460113792000?- 138,460,113,792,000 seconds is equal to 4,402,603 years, 17 weeks, 2 days, 8 hours.
-
To count from 1 to 138,460,113,792,000 would take you about eleven million, six thousand, five hundred 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 138460113792000 cubic inches would be around 4311.2 feet tall.
Recreational maths with 138460113792000
- 138460113792000 backwards is 000297311064831
- 138460113792000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138460113792000's digits is 45
- More coming soon!
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"Number 138460113792000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 138460113792000 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/138460113792000/
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The information we have on file for 138460113792000 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!
Keywords: Divisors of 138460113792000, math, Factors of 138460113792000, curriculum, school, college, exams, university, Prime factorization of 138460113792000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, four hundred sixty billion, one hundred thirteen million, seven hundred ninety-two thousand.