137114892288000
137,114,892,288,000 is an even composite number composed of five prime numbers multiplied together.
137114892288000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 137114892288000:
214 × 37 × 53 × 113 × 23
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 23)See below for interesting mathematical facts about the number 137114892288000 from the Numbermatics database.
Names of 137114892288000
- Cardinal: 137114892288000 can be written as One hundred thirty-seven trillion, one hundred fourteen billion, eight hundred ninety-two million, two hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 1.37114892288 × 1014
Factors of 137114892288000
Divisors of 137114892288000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 23 24 25 27 30 32 33 36 40 44 45 46 48 50 54 55 60 64 66 69 72 75 80 81 88 90 92 96 99 100 108 110 115 120 121 125 128 132 135 138 144 150 160 162 165 176 180 184 192 198 200 207 216 220 225 230 240 242 243 250 253 256 264 270 275 276 288 297 300 320 324 330 345 352 360 363 368 375 384 396 400 405 414 432 440 450 460 480 484 486 495 500 506 512 528 540 550 552 575 576 594 600 605 621 640 648 660 675 690 704 720 726 729 736 750 759 768 792 800 810 825 828 864 880 891 900 920 960 968 972 990 1000 1012 1024 1035 1056 1080 1089 1100 1104 1125 1150 1152 1188 1200 1210 1215 1242 1265 1280 1296 1320 1331 1350 1375 1380 1408 1440 1452 1458 1472 1485 1500 1518 1536 1584 1600 1620 1650 1656 1725 1728 1760 1782 1800 1815 1840 1863 1920 1936 1944 1980 2000 2024 2025 2048 2070 2112 2160 2178 2187 2200 2208 2250 2277 2300 2304 2376 2400 2420 2430 2475 2484 2530 2560 2592 2640 2662 2673 2700 2750 2760 2783 2816 2875 2880 2904 2916 2944 2970 3000 3025 3036 3072 3105 3168 3200 3240 3267 3300 3312 3375 3450 3456 3520 3564 3600 3630 3645 3680 3726 3795 3840 3872 3888 3960 3993 4000 4048 4050 4096 4125 4140 4224 4320 4356 4374 4400 4416 4455 4500 4554 4600 4608 4752 4800 4840 4860 4950 4968 5060 5120 5175 5184 5280 5324 5346 5400 5445 5500 5520 5566 5589 5632 5750 5760 5808 5832 5888 5940 6000 6050 6072 6075 6144 6210 6325 6336 6400 6480 6534 6600 6624 6655 6750 6831 6900 6912 7040 7128 7200 7260 7290 7360 7425 7452 7590 7680 7744 7776 7920 7986 8000 8019 8096 8100 8192 8250 8280 8349 8448 8625 8640 8712 8748 8800 8832 8910 9000 9075 9108 9200 9216 9315 9504 9600 9680 9720 9801 9900 9936 10120 10125 10240 10350 10368 10560 10648 10692 10800 10890 10935 11000 11040 11132 11178 11264 11385 11500 11520 11616 11664 11776 11880 11979 12000 12100 12144 12150 12288 12375 12420 12650 12672 12800 12960 13068 13200 13248 13310 13365 13500 13662 13800 13824 13915 14080 14256 14400 14520 14580 14720 14850 14904 15125 15180 15360 15488 15525 15552 15840 15972 16000 16038 16192 16200 16335 16384 16500 16560 16698 16767 16896 17250 17280 17424 17496 17600 17664 17820 18000 18150 18216 18225 18400 18432 18630 18975 19008 19200 19360 19440 19602 19800 19872 19965 20240 20250 20480 20493 20700 20736 21120 21296 21384 21600 21780 21870 22000 22080 22264 22275 22356 22528 22770 23000 23040 23232 23328 23552 23760 23958 24000 24057 24200 24288 24300 24576 24750 24840 25047 25300 25344 25600 25875 25920 26136 26400 26496 26620 26730 27000 27225 27324 27600 27648 27830 27945 28160 28512 28800 29040 29160 29403 29440 29700 29808 30250 30360 30375 30613 30720 30976 31050 31104 31625 31680 31944 32000 32076 32384 32400 32670 33000 33120 33275 33396 33534 33792 34155 34500 34560 34848 34992 35200 35328 35640 35937 36000 36300 36432 36450 36800 36864 37125 37260 37950 38016 38400 38720 38880 39204 39600 39744 39930 40095 40480 40500 40960 40986 41400 41472 41745 42240 42592 42768 43200 43560 43740 44000 44160 44528 44550 44712 45056 45375 45540 46000 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685574461440 692499456000 714140064000 745189632000 761749401600 779061888000 830999347200 846388224000 856968076800 914099281920 952186752000 993586176000 1015665868800 1038749184000 1071210096000 1096919138304 1133180928000 1142624102400 1192303411200 1246499020800 1269582336000 1371148922880 1384998912000 1428280128000 1490379264000 1523498803200 1558123776000 1692776448000 1713936153600 1828198563840 1904373504000 1987172352000 2077498368000 2142420192000 2285248204800 2492998041600 2539164672000 2742297845760 2856560256000 2980758528000 3046997606400 3116247552000 3427872307200 3808747008000 4154996736000 4284840384000 4570496409600 5078329344000 5484595691520 5713120512000 5961517056000 6232495104000 6855744614400 7617494016000 8569680768000 9140992819200 11426241024000 12464990208000 13711489228800 15234988032000 17139361536000 22852482048000 27422978457600 34278723072000 45704964096000 68557446144000 137114892288000
- Sum of all divisors σ(n): 589097855324160
- Sum of proper divisors (its aliquot sum) s(n): 451982963036160
- 137114892288000 is an abundant number, because the sum of its proper divisors (451982963036160) is greater than itself. Its abundance is 314868070748160
Bases of 137114892288000
- Binary: 111110010110100100011000111001011000000000000002
- Hexadecimal: 0x7CB48C72C000
- Base-36: 1CLPPMO000
Squares and roots of 137114892288000
- 137114892288000 squared (1371148922880002) is 18800493687149841874944000000
- 137114892288000 cubed (1371148922880003) is 2577827666874774538399178526031872000000000
-
The
square root of 137114892288000 is 11709606.8374646977 -
The
cube root of 137114892288000 is 51565.7741664893
Scales and comparisons
How big is 137114892288000?- 137,114,892,288,000 seconds is equal to 4,359,829 years, 23 weeks, 3 days.
-
To count from 1 to 137,114,892,288,000 would take you about ten million, eight hundred ninety-nine thousand, five hundred seventy-three 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 137114892288000 cubic inches would be around 4297.1 feet tall.
Recreational maths with 137114892288000
- 137114892288000 backwards is 000882298411731
- 137114892288000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137114892288000's digits is 54
- More coming soon!
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MLA style:
"Number 137114892288000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 137114892288000 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/137114892288000/
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The information we have on file for 137114892288000 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 137114892288000, math, Factors of 137114892288000, curriculum, school, college, exams, university, Prime factorization of 137114892288000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, one hundred fourteen billion, eight hundred ninety-two million, two hundred eighty-eight thousand.