137332103040000
137,332,103,040,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137332103040000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2640 divisors.
137332103040000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred forty divisors.
Prime factorization of 137332103040000:
210 × 32 × 54 × 11 × 29 × 31 × 2411
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 11 × 29 × 31 × 2411)See below for interesting mathematical facts about the number 137332103040000 from the Numbermatics database.
Names of 137332103040000
- Cardinal: 137332103040000 can be written as One hundred thirty-seven trillion, three hundred thirty-two billion, one hundred three million, forty thousand.
Scientific notation
- Scientific notation: 1.3733210304 × 1014
Factors of 137332103040000
Divisors of 137332103040000
- Number of divisors d(n): 2640
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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 29 30 31 32 33 36 40 44 45 48 50 55 58 60 62 64 66 72 75 80 87 88 90 93 96 99 100 110 116 120 124 125 128 132 144 145 150 155 160 165 174 176 180 186 192 198 200 220 225 232 240 248 250 256 261 264 275 279 288 290 300 310 319 320 330 341 348 352 360 372 375 384 396 400 435 440 450 464 465 480 495 496 500 512 522 528 550 558 576 580 600 620 625 638 640 660 682 696 704 720 725 744 750 768 775 792 800 825 870 880 899 900 928 930 957 960 990 992 1000 1023 1024 1044 1056 1100 1116 1125 1152 1160 1200 1240 1250 1276 1280 1305 1320 1364 1375 1392 1395 1408 1440 1450 1488 1500 1536 1550 1584 1595 1600 1650 1705 1740 1760 1798 1800 1856 1860 1875 1914 1920 1980 1984 2000 2046 2088 2112 2175 2200 2232 2250 2304 2320 2325 2400 2411 2475 2480 2500 2552 2560 2610 2640 2697 2728 2750 2784 2790 2816 2871 2880 2900 2976 3000 3069 3072 3100 3168 3190 3200 3300 3410 3480 3520 3596 3600 3625 3712 3720 3750 3828 3840 3875 3960 3968 4000 4092 4125 4176 4224 4350 4400 4464 4495 4500 4608 4640 4650 4785 4800 4822 4950 4960 5000 5104 5115 5120 5220 5280 5394 5456 5500 5568 5580 5625 5632 5742 5760 5800 5952 6000 6138 6200 6336 6380 6400 6525 6600 6820 6875 6960 6975 7040 7192 7200 7233 7250 7424 7440 7500 7656 7680 7750 7920 7936 7975 8000 8091 8184 8250 8352 8448 8525 8700 8800 8928 8990 9000 9216 9280 9300 9570 9600 9644 9889 9900 9920 10000 10208 10230 10440 10560 10788 10875 10912 11000 11136 11160 11250 11264 11484 11520 11600 11625 11904 12000 12055 12276 12375 12400 12672 12760 12800 13050 13200 13485 13640 13750 13920 13950 14080 14355 14384 14400 14466 14500 14848 14880 15000 15312 15345 15360 15500 15840 15872 15950 16000 16182 16368 16500 16704 16896 17050 17400 17600 17856 17980 18000 18125 18560 18600 19140 19200 19288 19375 19778 19800 19840 20000 20416 20460 20625 20880 21120 21576 21699 21750 21824 22000 22272 22320 22475 22500 22968 23040 23200 23250 23808 23925 24000 24110 24552 24750 24800 25344 25520 25575 25600 26100 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177202713600 178817842500 183109470720 184586160000 189423590400 190739032000 195074010000 197316240000 201366720000 208078944000 214581411000 215254080000 219731364864 221503392000 228886838400 236779488000 238423790000 246114880000 249694732800 260098680000 263088320000 268226763750 274664206080 276879240000 277438592000 286108548000 295337856000 295974360000 305182451200 312118416000 315705984000 343330257600 346798240000 357635685000 366218941440 369172320000 381478064000 390148020000 394632480000 402733440000 416157888000 429162822000 430508160000 443006784000 457773676800 473558976000 476847580000 492229760000 499389465600 520197360000 526176640000 536453527500 549328412160 553758480000 572217096000 591948720000 610364902400 624236832000 686660515200 693596480000 715271370000 738344640000 762956128000 780296040000 789264960000 832315776000 858325644000 886013568000 915547353600 947117952000 953695160000 1040394720000 1072907055000 1098656824320 1107516960000 1144434192000 1183897440000 1248473664000 1373321030400 1387192960000 1430542740000 1476689280000 1525912256000 1560592080000 1578529920000 1716651288000 1831094707200 1907390320000 2080789440000 2145814110000 2215033920000 2288868384000 2367794880000 2496947328000 2746642060800 2861085480000 3051824512000 3121184160000 3433302576000 3814780640000 4161578880000 4291628220000 4430067840000 4577736768000 4735589760000 5493284121600 5722170960000 6242368320000 6866605152000 7629561280000 8583256440000 9155473536000 11444341920000 12484736640000 13733210304000 15259122560000 17166512880000 22888683840000 27466420608000 34333025760000 45777367680000 68666051520000 137332103040000
- Sum of all divisors σ(n): 577486733091840
- Sum of proper divisors (its aliquot sum) s(n): 440154630051840
- 137332103040000 is an abundant number, because the sum of its proper divisors (440154630051840) is greater than itself. Its abundance is 302822527011840
Bases of 137332103040000
- Binary: 111110011100111000111110011011111001100000000002
- Hexadecimal: 0x7CE71F37CC00
- Base-36: 1COHHWC8W0
Squares and roots of 137332103040000
- 137332103040000 squared (1373321030400002) is 18860106525389177241600000000
- 137332103040000 cubed (1373321030400003) is 2590098092690122865044234174464000000000000
-
The
square root of 137332103040000 is 11718878.0623402683 -
The
cube root of 137332103040000 is 51592.9891322101
Scales and comparisons
How big is 137332103040000?- 137,332,103,040,000 seconds is equal to 4,366,736 years, 4 weeks, 1 day, 8 hours.
-
To count from 1 to 137,332,103,040,000 would take you about ten million, nine hundred sixteen thousand, eight hundred forty 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 137332103040000 cubic inches would be around 4299.4 feet tall.
Recreational maths with 137332103040000
- 137332103040000 backwards is 000040301233731
- The number of decimal digits it has is: 15
- The sum of 137332103040000's digits is 27
- More coming soon!
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Cite this page
MLA style:
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Numbermatics. (2024). Number 137332103040000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/137332103040000/
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The information we have on file for 137332103040000 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!
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