131738268672000
131,738,268,672,000 is an even composite number composed of six prime numbers multiplied together.
131738268672000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 131738268672000:
213 × 33 × 53 × 192 × 67 × 197
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 19 × 19 × 67 × 197)See below for interesting mathematical facts about the number 131738268672000 from the Numbermatics database.
Names of 131738268672000
- Cardinal: 131738268672000 can be written as One hundred thirty-one trillion, seven hundred thirty-eight billion, two hundred sixty-eight million, six hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.31738268672 × 1014
Factors of 131738268672000
Divisors of 131738268672000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 32 36 38 40 45 48 50 54 57 60 64 67 72 75 76 80 90 95 96 100 108 114 120 125 128 134 135 144 150 152 160 171 180 190 192 197 200 201 216 225 228 240 250 256 268 270 285 288 300 304 320 335 342 360 361 375 380 384 394 400 402 432 450 456 475 480 500 512 513 536 540 570 576 591 600 603 608 640 670 675 684 720 722 750 760 768 788 800 804 855 864 900 912 950 960 985 1000 1005 1024 1026 1072 1080 1083 1125 1140 1152 1182 1200 1206 1216 1273 1280 1340 1350 1368 1425 1440 1444 1500 1520 1536 1576 1600 1608 1675 1710 1728 1773 1800 1805 1809 1824 1900 1920 1970 2000 2010 2048 2052 2144 2160 2166 2250 2280 2304 2364 2375 2400 2412 2432 2546 2560 2565 2680 2700 2736 2850 2880 2888 2955 3000 3015 3040 3072 3152 3200 3216 3249 3350 3375 3420 3456 3546 3600 3610 3618 3648 3743 3800 3819 3840 3940 4000 4020 4096 4104 4275 4288 4320 4332 4500 4560 4608 4728 4750 4800 4824 4864 4925 5025 5092 5120 5130 5319 5360 5400 5415 5472 5700 5760 5776 5910 6000 6030 6080 6144 6304 6365 6400 6432 6498 6700 6750 6840 6912 7092 7125 7200 7220 7236 7296 7486 7600 7638 7680 7880 8000 8040 8192 8208 8375 8550 8576 8640 8664 8865 9000 9025 9045 9120 9216 9456 9500 9600 9648 9728 9747 9850 10050 10184 10240 10260 10638 10720 10800 10830 10944 11229 11400 11457 11520 11552 11820 12000 12060 12160 12288 12608 12730 12800 12825 12864 12996 13199 13400 13500 13680 13824 14184 14250 14400 14440 14472 14592 14775 14972 15075 15200 15276 15360 15760 16000 16080 16245 16416 16750 17100 17152 17280 17328 17730 18000 18050 18090 18240 18432 18715 18912 19000 19095 19200 19296 19456 19494 19700 20100 20368 20480 20520 21276 21375 21440 21600 21660 21888 22458 22800 22914 23040 23104 23640 24000 24120 24187 24320 24576 24625 25125 25216 25460 25600 25650 25728 25992 26398 26595 26800 27000 27075 27360 27648 28368 28500 28800 28880 28944 29184 29550 29944 30150 30400 30552 30720 31520 31825 32000 32160 32490 32832 33500 33687 34200 34304 34371 34560 34656 35460 36000 36100 36180 36480 36864 37430 37824 38000 38190 38400 38592 38912 38988 39400 39597 40200 40736 40960 41040 42552 42750 42880 43200 43320 43776 44325 44916 45125 45225 45600 45828 46080 46208 47280 48000 48240 48374 48640 48735 49250 50250 50432 50920 51200 51300 51456 51984 52796 53190 53600 54000 54150 54720 55296 56145 56736 57000 57285 57600 57760 57888 58368 59100 59888 60300 60800 61104 61440 63040 63650 64000 64125 64320 64980 65664 65995 67000 67374 68400 68608 68742 69120 69312 70920 71117 72000 72200 72360 72561 72960 73728 73875 74860 75375 75648 76000 76380 76800 77184 77824 77976 78800 79194 80400 81225 81472 82080 85104 85500 85760 86400 86640 87552 88650 89832 90250 90450 91200 91656 92160 92416 93575 94560 95475 96000 96480 96748 97280 97470 98500 100500 100864 101061 101840 102400 102600 102912 103968 105592 106380 107200 108000 108300 109440 110592 112290 113472 114000 114570 115200 115520 115776 116736 118200 118791 119776 120600 120935 121600 122208 122880 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66872217600 68613681600 69335930880 72224928000 72823808000 72985190400 73187927040 74302464000 76237424000 77039923200 78649712640 81926784000 82336417920 83590272000 85767102000 86669913600 87825512448 91231488000 91484908800 92447907840 96299904000 97583902720 98312140800 102920522400 103486464000 108337392000 109235712000 109781890560 111453696000 114356136000 115559884800 117100683264 121641984000 121979878400 122890176000 128399872000 128650653000 131082854400 131738268672 133744435200 137227363200 138671861760 144449856000 146375854080 152474848000 154079846400 163853568000 164672835840 167180544000 171534204000 173339827200 175651024896 182462976000 182969817600 192599808000 195167805440 196624281600 205841044800 216674784000 218471424000 219563781120 222907392000 228712272000 231119769600 243959756800 245780352000 256799744000 257301306000 263476537344 274454726400 277343723520 288899712000 292751708160 304949696000 327707136000 329345671680 334361088000 343068408000 346679654400 351302049792 364925952000 365939635200 385199616000 393248563200 411682089600 433349568000 439127562240 457424544000 462239539200 487919513600 491560704000 514602612000 526953074688 548909452800 577799424000 585503416320 609899392000 655414272000 658691343360 668722176000 686136816000 693359308800 731879270400 770399232000 823364179200 866699136000 878255124480 914849088000 975839027200 983121408000 1029205224000 1053906149376 1097818905600 1155598848000 1219798784000 1317382686720 1372273632000 1386718617600 1463758540800 1646728358400 1733398272000 1756510248960 1829698176000 1966242816000 2058410448000 2195637811200 2311197696000 2439597568000 2634765373440 2744547264000 2927517081600 3293456716800 3466796544000 3659396352000 4116820896000 4391275622400 4879195136000 5269530746880 5489094528000 6586913433600 6933593088000 7318792704000 8233641792000 8782551244800 10978189056000 13173826867200 14637585408000 16467283584000 21956378112000 26347653734400 32934567168000 43912756224000 65869134336000 131738268672000
- Sum of all divisors σ(n): 524417407937280
- Sum of proper divisors (its aliquot sum) s(n): 392679139265280
- 131738268672000 is an abundant number, because the sum of its proper divisors (392679139265280) is greater than itself. Its abundance is 260940870593280
Bases of 131738268672000
- Binary: 111011111010000101101001011010100100000000000002
- Hexadecimal: 0x77D0B4B52000
- Base-36: 1AP3Q3SAO0
Squares and roots of 131738268672000
- 131738268672000 squared (1317382686720002) is 17354971432696056643584000000
- 131738268672000 cubed (1317382686720003) is 2286313889395397875427399537000448000000000
-
The
square root of 131738268672000 is 11477729.2471986809 -
The
cube root of 131738268672000 is 50882.7588393703
Scales and comparisons
How big is 131738268672000?- 131,738,268,672,000 seconds is equal to 4,188,869 years, 23 weeks, 3 days.
-
To count from 1 to 131,738,268,672,000 would take you about ten million, four hundred seventy-two thousand, one 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 131738268672000 cubic inches would be around 4240.2 feet tall.
Recreational maths with 131738268672000
- 131738268672000 backwards is 000276862837131
- 131738268672000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 131738268672000's digits is 54
- More coming soon!
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The information we have on file for 131738268672000 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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