134016728288256000
134,016,728,288,256,000 is an even composite number composed of six prime numbers multiplied together.
134016728288256000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand and twenty-four divisors.
Prime factorization of 134016728288256000:
213 × 32 × 53 × 11 × 1032 × 3532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 103 × 103 × 353 × 353)See below for interesting mathematical facts about the number 134016728288256000 from the Numbermatics database.
Names of 134016728288256000
- Cardinal: 134016728288256000 can be written as One hundred thirty-four quadrillion, sixteen trillion, seven hundred twenty-eight billion, two hundred eighty-eight million, two hundred fifty-six thousand.
Scientific notation
- Scientific notation: 1.34016728288256 × 1017
Factors of 134016728288256000
Divisors of 134016728288256000
- Number of divisors d(n): 3024
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 55 60 64 66 72 75 80 88 90 96 99 100 103 110 120 125 128 132 144 150 160 165 176 180 192 198 200 206 220 225 240 250 256 264 275 288 300 309 320 330 352 353 360 375 384 396 400 412 440 450 480 495 500 512 515 528 550 576 600 618 640 660 704 706 720 750 768 792 800 824 825 880 900 927 960 990 1000 1024 1030 1056 1059 1100 1125 1133 1152 1200 1236 1280 1320 1375 1408 1412 1440 1500 1536 1545 1584 1600 1648 1650 1760 1765 1800 1854 1920 1980 2000 2048 2060 2112 2118 2200 2250 2266 2304 2400 2472 2475 2560 2575 2640 2750 2816 2824 2880 3000 3072 3090 3168 3177 3200 3296 3300 3399 3520 3530 3600 3708 3840 3883 3960 4000 4096 4120 4125 4224 4236 4400 4500 4532 4608 4635 4800 4944 4950 5120 5150 5280 5295 5500 5632 5648 5665 5760 6000 6144 6180 6336 6354 6400 6592 6600 6798 7040 7060 7200 7416 7680 7725 7766 7920 8000 8192 8240 8250 8448 8472 8800 8825 9000 9064 9216 9270 9600 9888 9900 10197 10240 10300 10560 10590 10609 11000 11264 11296 11330 11520 11649 12000 12288 12360 12375 12672 12708 12800 12875 13184 13200 13596 14080 14120 14400 14832 15360 15450 15532 15840 15885 16000 16480 16500 16896 16944 16995 17600 17650 18000 18128 18432 18540 19200 19415 19776 19800 20394 20480 20600 21120 21180 21218 22000 22528 22592 22660 23040 23175 23298 24000 24576 24720 24750 25344 25416 25600 25750 26368 26400 26475 27192 28160 28240 28325 28800 29664 30720 30900 31064 31680 31770 31827 32000 32960 33000 33792 33888 33990 34947 35200 35300 36000 36256 36359 36864 37080 38400 38625 38830 39552 39600 40788 40960 41200 42240 42360 42436 44000 44125 45056 45184 45320 46080 46350 46596 48000 49440 49500 50688 50832 50985 51200 51500 52736 52800 52950 53045 54384 56320 56480 56650 57600 58245 59328 61440 61800 62128 63360 63540 63654 64000 65920 66000 67584 67776 67980 69894 70400 70600 72000 72512 72718 73728 74160 76800 77250 77660 79104 79200 79425 81576 82400 84480 84720 84872 84975 88000 88250 90112 90368 90640 92160 92700 93192 95481 96000 97075 98880 99000 101376 101664 101970 102400 103000 105472 105600 105900 106090 108768 109077 112640 112960 113300 115200 115875 116490 116699 118656 122880 123600 124256 124609 126720 127080 127308 128000 131840 132000 132375 135168 135552 135960 139788 140800 141200 141625 144000 145024 145436 148320 153600 154500 155320 158208 158400 158850 159135 163152 164800 168960 169440 169744 169950 174735 176000 176500 180736 181280 181795 184320 185400 186384 190962 192000 194150 197760 198000 202752 203328 203940 204800 206000 210944 211200 211800 212180 217536 218154 225280 225920 226600 230400 231750 232980 233398 237312 247200 248512 249218 253440 254160 254616 254925 256000 263680 264000 264750 265225 270336 271104 271920 279576 281600 282400 283250 288000 290048 290872 291225 296640 307200 309000 310640 316416 316800 317700 318270 326304 327231 329600 337920 338880 339488 339900 349470 350097 352000 353000 361472 362560 363590 368640 370800 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2030556489216000 2094011379504000 2233612138137600 2436667787059200 2680334565765120 2792015172672000 2978149517516800 3045834733824000 3350418207206400 3722686896896000 4061112978432000 4188022759008000 4467224276275200 5360669131530240 5584030345344000 6091669467648000 6700836414412800 7445373793792000 8376045518016000 8934448552550400 11168060690688000 12183338935296000 13401672828825600 14890747587584000 16752091036032000 22336121381376000 26803345657651200 33504182072064000 44672242762752000 67008364144128000 134016728288256000
- Sum of all divisors σ(n): 533746666526113872
- Sum of proper divisors (its aliquot sum) s(n): 399729938237857872
- 134016728288256000 is an abundant number, because the sum of its proper divisors (399729938237857872) is greater than itself. Its abundance is 265713209949601872
Bases of 134016728288256000
- Binary: 1110111000001111110000001000110111001010011100000000000002
- Hexadecimal: 0x1DC1F811B94E000
- Base-36: 10NKYR1HFY80
Squares and roots of 134016728288256000
- 134016728288256000 squared (1340167282882560002) is 17960483461088235975827521536000000
- 134016728288256000 cubed (1340167282882560003) is 2407005231930377825331742078052392255881216000000000
-
The
square root of 134016728288256000 is 366082952.7419379849 -
The
cube root of 134016728288256000 is 511744.2879587979
Scales and comparisons
How big is 134016728288256000?- 134,016,728,288,256,000 seconds is equal to 4,261,317,418 years, 31 weeks, 4 days, 8 hours.
-
To count from 1 to 134,016,728,288,256,000 would take you about twelve billion, seven hundred eighty-three million, nine hundred fifty-two thousand, two hundred fifty-five 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 134016728288256000 cubic inches would be around 42645.4 feet tall.
Recreational maths with 134016728288256000
- 134016728288256000 backwards is 000652882827610431
- The number of decimal digits it has is: 18
- The sum of 134016728288256000's digits is 63
- More coming soon!
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"Number 134016728288256000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 134016728288256000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/134016728288256000/
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Numbermatics. 2024. "Number 134016728288256000 - Facts about the integer". https://numbermatics.com/n/134016728288256000/
The information we have on file for 134016728288256000 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 134016728288256000, math, Factors of 134016728288256000, curriculum, school, college, exams, university, Prime factorization of 134016728288256000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-four quadrillion, sixteen trillion, seven hundred twenty-eight billion, two hundred eighty-eight million, two hundred fifty-six thousand.