134444816064000000
134,444,816,064,000,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 134444816064000000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 11466 divisors.
134444816064000000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eleven thousand, four hundred sixty-six divisors.
Prime factorization of 134444816064000000:
212 × 36 × 56 × 132 × 172 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 13 × 13 × 17 × 17 × 59)See below for interesting mathematical facts about the number 134444816064000000 from the Numbermatics database.
Names of 134444816064000000
- Cardinal: 134444816064000000 can be written as One hundred thirty-four quadrillion, four hundred forty-four trillion, eight hundred sixteen billion, sixty-four million.
Scientific notation
- Scientific notation: 1.34444816064 × 1017
Factors of 134444816064000000
Divisors of 134444816064000000
- Number of divisors d(n): 11466
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 27 30 32 34 36 39 40 45 48 50 51 52 54 59 60 64 65 68 72 75 78 80 81 85 90 96 100 102 104 108 117 118 120 125 128 130 135 136 144 150 153 156 160 162 169 170 177 180 192 195 200 204 208 216 221 225 234 236 240 243 250 255 256 260 270 272 288 289 295 300 306 312 320 324 325 338 340 351 354 360 375 384 390 400 405 408 416 425 432 442 450 459 468 472 480 486 500 507 510 512 520 531 540 544 576 578 585 590 600 612 624 625 640 648 650 663 675 676 680 702 708 720 729 750 765 767 768 780 800 810 816 832 845 850 864 867 884 885 900 918 936 944 960 972 975 1000 1003 1014 1020 1024 1040 1053 1062 1080 1088 1105 1125 1152 1156 1170 1180 1200 1215 1224 1248 1250 1275 1280 1296 1300 1326 1350 1352 1360 1377 1404 1416 1440 1445 1458 1475 1500 1521 1530 1534 1536 1560 1593 1600 1620 1625 1632 1664 1690 1700 1728 1734 1755 1768 1770 1800 1836 1872 1875 1888 1920 1944 1950 1989 2000 2006 2025 2028 2040 2048 2080 2106 2124 2125 2160 2176 2210 2250 2295 2301 2304 2312 2340 2360 2400 2430 2448 2496 2500 2535 2550 2560 2592 2600 2601 2652 2655 2700 2704 2720 2754 2808 2832 2873 2880 2890 2916 2925 2950 3000 3009 3042 3060 3068 3072 3120 3125 3159 3186 3200 3240 3250 3264 3315 3328 3375 3380 3400 3456 3468 3510 3536 3540 3600 3645 3672 3744 3750 3757 3776 3825 3835 3840 3888 3900 3978 4000 4012 4050 4056 4080 4096 4131 4160 4212 4225 4248 4250 4320 4335 4352 4420 4425 4500 4563 4590 4602 4608 4624 4680 4720 4779 4800 4860 4875 4896 4992 5000 5015 5070 5100 5120 5184 5200 5202 5265 5304 5310 5400 5408 5440 5508 5525 5616 5625 5664 5746 5760 5780 5832 5850 5900 5967 6000 6018 6075 6084 6120 6136 6144 6240 6250 6318 6372 6375 6400 6480 6500 6528 6630 6656 6750 6760 6800 6885 6903 6912 6936 7020 7072 7080 7200 7225 7290 7344 7375 7488 7500 7514 7552 7605 7650 7670 7680 7776 7800 7803 7956 7965 8000 8024 8100 8112 8125 8160 8262 8320 8424 8450 8496 8500 8619 8640 8670 8704 8775 8840 8850 9000 9027 9126 9180 9204 9216 9248 9360 9375 9440 9477 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- Sum of all divisors σ(n): 589416492211781580
- Sum of proper divisors (its aliquot sum) s(n): 454971676147781580
- 134444816064000000 is an abundant number, because the sum of its proper divisors (454971676147781580) is greater than itself. Its abundance is 320526860083781580
Bases of 134444816064000000
- Binary: 1110111011010010011011001000011110110001100110000000000002
- Hexadecimal: 0x1DDA4D90F633000
- Base-36: 10RSPJUM8000
Squares and roots of 134444816064000000
- 134444816064000000 squared (1344448160640000002) is 18075408566482792452096000000000000
- 134444816064000000 cubed (1344448160640000003) is 2430144980002428946643134251270144000000000000000000
-
The
square root of 134444816064000000 is 366667173.4202558799 -
The
cube root of 134444816064000000 is 512288.5947053011
Scales and comparisons
How big is 134444816064000000?- 134,444,816,064,000,000 seconds is equal to 4,274,929,285 years, 37 weeks, 1 day.
-
To count from 1 to 134,444,816,064,000,000 would take you about twelve billion, eight hundred twenty-four million, seven hundred eighty-seven thousand, eight hundred fifty-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 134444816064000000 cubic inches would be around 42690.7 feet tall.
Recreational maths with 134444816064000000
- 134444816064000000 backwards is 000000460618444431
- 134444816064000000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 134444816064000000's digits is 45
- More coming soon!
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"Number 134444816064000000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 134444816064000000 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/134444816064000000/
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The information we have on file for 134444816064000000 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 134444816064000000, math, Factors of 134444816064000000, curriculum, school, college, exams, university, Prime factorization of 134444816064000000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-four quadrillion, four hundred forty-four trillion, eight hundred sixteen billion, sixty-four million.