134428517007616000
134,428,517,007,616,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 134428517007616000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3456 divisors.
134428517007616000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 134428517007616000:
211 × 53 × 13 × 192 × 373 × 472
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 19 × 19 × 37 × 37 × 37 × 47 × 47)See below for interesting mathematical facts about the number 134428517007616000 from the Numbermatics database.
Names of 134428517007616000
- Cardinal: 134428517007616000 can be written as One hundred thirty-four quadrillion, four hundred twenty-eight trillion, five hundred seventeen billion, seven million, six hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.34428517007616 × 1017
Factors of 134428517007616000
Divisors of 134428517007616000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 32 37 38 40 47 50 52 64 65 74 76 80 94 95 100 104 125 128 130 148 152 160 185 188 190 200 208 235 247 250 256 260 296 304 320 325 361 370 376 380 400 416 470 475 481 494 500 512 520 592 608 611 640 650 703 722 740 752 760 800 832 893 925 940 950 962 988 1000 1024 1040 1175 1184 1216 1222 1235 1280 1300 1369 1406 1444 1480 1504 1520 1600 1625 1664 1739 1786 1805 1850 1880 1900 1924 1976 2000 2048 2080 2209 2350 2368 2375 2405 2432 2444 2470 2560 2600 2738 2812 2888 2960 3008 3040 3055 3200 3250 3328 3478 3515 3572 3610 3700 3760 3800 3848 3952 4000 4160 4418 4465 4625 4693 4700 4736 4750 4810 4864 4888 4940 5120 5200 5476 5624 5776 5875 5920 6016 6080 6110 6175 6400 6500 6656 6845 6956 7030 7144 7220 7400 7520 7600 7696 7904 8000 8320 8695 8836 8930 9025 9139 9250 9386 9400 9472 9500 9620 9728 9776 9880 10240 10400 10952 11045 11248 11552 11609 11750 11840 12025 12032 12160 12220 12350 12800 13000 13312 13357 13690 13912 14060 14288 14440 14800 15040 15200 15275 15392 15808 16000 16640 16967 17390 17575 17672 17797 17860 18050 18278 18500 18772 18800 18944 19000 19240 19456 19552 19760 20800 21904 22090 22325 22496 22607 23104 23218 23465 23500 23680 24050 24064 24320 24440 24700 25600 26000 26011 26624 26714 27380 27824 28120 28576 28717 28880 29600 30080 30400 30550 30784 30875 31616 32000 33041 33280 33934 34225 34780 35150 35344 35594 35720 36100 36556 37000 37544 37600 37888 38000 38480 38912 39104 39520 41600 41971 43475 43808 44180 44650 44992 45125 45214 45695 46208 46436 46930 47000 47360 48100 48128 48640 48880 49400 50653 51200 52000 52022 53428 54760 55225 55648 56240 57152 57434 57760 58045 59200 60125 60160 60800 61100 61568 61750 63232 64000 64343 66082 66560 66785 67868 68450 69560 70300 70688 71188 71440 72200 73112 74000 75088 75200 75776 76000 76375 76960 78208 79040 81733 83200 83942 84835 86950 87616 87875 88360 88985 89300 89984 90250 90428 91390 92416 92872 93860 94000 94720 96200 96256 97280 97760 98800 101306 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353759255283200 357522651616000 363320316236800 372378163456000 413626206177280 420089115648800 442199069104000 454150395296000 517032757721600 525111394561000 537714068030464 544245008128000 572036242585600 646290947152000 672142585038080 707518510566400 715045303232000 726640632473600 840178231297600 884398138208000 908300790592000 1034065515443200 1050222789122000 1075428136060928 1292581894304000 1344285170076160 1415037021132800 1430090606464000 1680356462595200 1768796276416000 1816601581184000 2068131030886400 2100445578244000 2585163788608000 2688570340152320 2860181212928000 3360712925190400 3537592552832000 3633203162368000 4200891156488000 5170327577216000 5377140680304640 6721425850380800 7075185105664000 8401782312976000 10340655154432000 13442851700761600 16803564625952000 26885703401523200 33607129251904000 67214258503808000 134428517007616000
- Sum of all divisors σ(n): 400375264569789600
- Sum of proper divisors (its aliquot sum) s(n): 265946747562173600
- 134428517007616000 is an abundant number, because the sum of its proper divisors (265946747562173600) is greater than itself. Its abundance is 131518230554557600
Bases of 134428517007616000
- Binary: 1110111011001011000000110001000111110101111101000000000002
- Hexadecimal: 0x1DD960623EBE800
- Base-36: 10RMXK60VOXS
Squares and roots of 134428517007616000
- 134428517007616000 squared (1344285170076160002) is 18071026184866904171002003456000000
- 134428517007616000 cubed (1344285170076160003) is 2429261250837454705512860070785306010320896000000000
-
The
square root of 134428517007616000 is 366644946.7913283541 -
The
cube root of 134428517007616000 is 512267.8918911159
Scales and comparisons
How big is 134428517007616000?- 134,428,517,007,616,000 seconds is equal to 4,274,411,026 years, 7 weeks, 1 day, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 134,428,517,007,616,000 would take you about twelve billion, eight hundred twenty-three million, two hundred thirty-three thousand and seventy-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 134428517007616000 cubic inches would be around 42689 feet tall.
Recreational maths with 134428517007616000
- 134428517007616000 backwards is 000616700715824431
- The number of decimal digits it has is: 18
- The sum of 134428517007616000's digits is 55
- More coming soon!
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MLA style:
"Number 134428517007616000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 134428517007616000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/134428517007616000/
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Numbermatics. 2024. "Number 134428517007616000 - Facts about the integer". https://numbermatics.com/n/134428517007616000/
The information we have on file for 134428517007616000 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 134428517007616000, math, Factors of 134428517007616000, curriculum, school, college, exams, university, Prime factorization of 134428517007616000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-four quadrillion, four hundred twenty-eight trillion, five hundred seventeen billion, seven million, six hundred sixteen thousand.