135162465438000000
135,162,465,438,000,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 135162465438000000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 9408 divisors.
135162465438000000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine thousand, four hundred eight divisors.
Prime factorization of 135162465438000000:
27 × 3 × 56 × 76 × 11 × 132 × 103
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 11 × 13 × 13 × 103)See below for interesting mathematical facts about the number 135162465438000000 from the Numbermatics database.
Names of 135162465438000000
- Cardinal: 135162465438000000 can be written as One hundred thirty-five quadrillion, one hundred sixty-two trillion, four hundred sixty-five billion, four hundred thirty-eight million.
Scientific notation
- Scientific notation: 1.35162465438 × 1017
Factors of 135162465438000000
Divisors of 135162465438000000
- Number of divisors d(n): 9408
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 24 25 26 28 30 32 33 35 39 40 42 44 48 49 50 52 55 56 60 64 65 66 70 75 77 78 80 84 88 91 96 98 100 103 104 105 110 112 120 125 128 130 132 140 143 147 150 154 156 160 165 168 169 175 176 182 192 195 196 200 206 208 210 220 224 231 240 245 250 260 264 273 275 280 286 294 300 308 309 312 320 325 330 336 338 343 350 352 364 375 384 385 390 392 400 412 416 420 429 440 448 455 462 480 490 500 507 515 520 525 528 539 546 550 560 572 588 600 616 618 624 625 637 640 650 660 672 676 686 700 704 715 721 728 735 750 770 780 784 800 824 825 832 840 845 858 875 880 896 910 924 960 975 980 1000 1001 1014 1029 1030 1040 1050 1056 1078 1092 1100 1120 1133 1144 1155 1176 1183 1200 1225 1232 1236 1248 1250 1274 1300 1320 1339 1344 1352 1365 1372 1375 1400 1408 1430 1442 1456 1470 1500 1540 1545 1560 1568 1600 1617 1625 1648 1650 1664 1680 1690 1715 1716 1750 1760 1820 1848 1859 1875 1911 1920 1925 1950 1960 2000 2002 2028 2058 2060 2080 2100 2112 2145 2156 2163 2184 2200 2240 2266 2275 2288 2310 2352 2366 2400 2401 2450 2464 2472 2496 2500 2535 2548 2575 2600 2625 2640 2678 2688 2695 2704 2730 2744 2750 2800 2860 2884 2912 2940 3000 3003 3080 3090 3120 3125 3136 3185 3200 3234 3250 3296 3300 3360 3380 3399 3430 3432 3500 3520 3549 3575 3605 3640 3675 3696 3718 3750 3773 3822 3850 3900 3920 4000 4004 4017 4056 4116 4120 4125 4160 4200 4224 4225 4290 4312 4326 4368 4375 4400 4459 4480 4532 4550 4576 4620 4704 4732 4800 4802 4875 4900 4928 4944 4992 5000 5005 5047 5070 5096 5145 5150 5200 5250 5280 5356 5390 5408 5460 5488 5500 5577 5600 5665 5720 5768 5775 5824 5880 5915 6000 6006 6125 6160 6180 6240 6250 6272 6370 6468 6500 6592 6600 6695 6720 6760 6798 6825 6860 6864 6875 7000 7007 7040 7098 7150 7203 7210 7280 7350 7392 7436 7500 7546 7644 7700 7725 7800 7840 7931 8000 8008 8034 8085 8112 8125 8232 8240 8250 8281 8320 8400 8450 8575 8580 8624 8652 8736 8750 8800 8918 9064 9100 9152 9240 9295 9373 9375 9408 9464 9555 9600 9604 9625 9750 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- Sum of all divisors σ(n): 624489052175314560
- Sum of proper divisors (its aliquot sum) s(n): 489326586737314560
- 135162465438000000 is an abundant number, because the sum of its proper divisors (489326586737314560) is greater than itself. Its abundance is 354164121299314560
Bases of 135162465438000000
- Binary: 1111000000011000110001011110100110110010111100011100000002
- Hexadecimal: 0x1E0318BD365E380
- Base-36: 10YV3FF6CDXC
Squares and roots of 135162465438000000
- 135162465438000000 squared (1351624654380000002) is 18268892063278544531844000000000000
- 135162465438000000 cubed (1351624654380000003) is 2469268492093438784252308540407672000000000000000000
-
The
square root of 135162465438000000 is 367644482.3984170717 -
The
cube root of 135162465438000000 is 513198.4881671051
Scales and comparisons
How big is 135162465438000000?- 135,162,465,438,000,000 seconds is equal to 4,297,748,315 years, 50 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 135,162,465,438,000,000 would take you about twelve billion, eight hundred ninety-three million, two hundred forty-four thousand, nine hundred forty-seven 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 135162465438000000 cubic inches would be around 42766.5 feet tall.
Recreational maths with 135162465438000000
- 135162465438000000 backwards is 000000834564261531
- 135162465438000000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 135162465438000000's digits is 48
- More coming soon!
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"Number 135162465438000000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 135162465438000000 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/135162465438000000/
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Numbermatics. 2024. "Number 135162465438000000 - Facts about the integer". https://numbermatics.com/n/135162465438000000/
The information we have on file for 135162465438000000 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 135162465438000000, math, Factors of 135162465438000000, curriculum, school, college, exams, university, Prime factorization of 135162465438000000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five quadrillion, one hundred sixty-two trillion, four hundred sixty-five billion, four hundred thirty-eight million.