137238629112000
137,238,629,112,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137238629112000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2688 divisors.
137238629112000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 137238629112000:
26 × 32 × 53 × 13 × 17 × 31 × 61 × 4561
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 17 × 31 × 61 × 4561)See below for interesting mathematical facts about the number 137238629112000 from the Numbermatics database.
Names of 137238629112000
- Cardinal: 137238629112000 can be written as One hundred thirty-seven trillion, two hundred thirty-eight billion, six hundred twenty-nine million, one hundred twelve thousand.
Scientific notation
- Scientific notation: 1.37238629112 × 1014
Factors of 137238629112000
Divisors of 137238629112000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 30 31 32 34 36 39 40 45 48 50 51 52 60 61 62 64 65 68 72 75 78 80 85 90 93 96 100 102 104 117 120 122 124 125 130 136 144 150 153 155 156 160 170 180 183 186 192 195 200 204 208 221 225 234 240 244 248 250 255 260 272 279 288 300 305 306 310 312 320 325 340 360 366 372 375 390 400 403 408 416 425 442 450 465 468 480 488 496 500 510 520 527 544 549 558 576 585 600 610 612 620 624 650 663 680 720 732 744 750 765 775 780 793 800 806 816 832 850 884 900 915 930 936 960 975 976 992 1000 1020 1037 1040 1054 1088 1098 1105 1116 1125 1170 1200 1209 1220 1224 1240 1248 1275 1300 1326 1360 1395 1440 1464 1488 1500 1525 1530 1550 1560 1581 1586 1600 1612 1625 1632 1700 1768 1800 1830 1860 1872 1891 1950 1952 1984 1989 2000 2015 2040 2074 2080 2108 2125 2196 2210 2232 2250 2325 2340 2379 2400 2418 2440 2448 2480 2496 2550 2600 2635 2652 2720 2745 2790 2880 2925 2928 2976 3000 3050 3060 3100 3111 3120 3162 3172 3224 3250 3264 3315 3400 3536 3600 3627 3660 3720 3744 3782 3825 3875 3900 3904 3965 3978 4000 4030 4080 4148 4160 4216 4250 4392 4420 4464 4500 4561 4575 4650 4680 4743 4758 4800 4836 4875 4880 4896 4960 5100 5185 5200 5270 5304 5440 5490 5525 5580 5673 5850 5856 5952 6000 6045 6100 6120 6200 6222 6240 6324 6344 6375 6448 6500 6630 6800 6851 6975 7072 7137 7200 7254 7320 7440 7488 7564 7625 7650 7750 7800 7905 7930 7956 8000 8060 8160 8296 8432 8500 8784 8840 8928 9000 9122 9150 9300 9333 9360 9455 9486 9516 9672 9750 9760 9792 9920 9945 10075 10200 10370 10400 10540 10608 10980 11050 11160 11346 11625 11700 11712 11895 12000 12090 12200 12240 12400 12444 12480 12648 12688 12750 12896 13000 13175 13260 13481 13600 13683 13702 13725 13950 14144 14274 14400 14508 14625 14640 14880 15128 15250 15300 15500 15555 15600 15810 15860 15912 16120 16320 16575 16592 16864 17000 17019 17568 17680 17856 18000 18135 18244 18300 18600 18666 18720 18910 18972 19032 19125 19344 19500 19520 19825 19890 20150 20400 20553 20740 20800 21080 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42046148625 42227270496 42567813000 43265646000 43402476000 43986740100 44113992000 44270525520 44849225200 44996271840 45746209704 46115130750 46871116500 46919189440 47652301775 49189472800 49995857600 50455378350 51749106000 52082971200 52784088120 53819070240 54983425125 55338156900 56061531500 56245339800 56757084000 57182762130 57687528000 58648986800 59027367360 60994946272 61486841000 62098927200 62494822000 64582884288 65103714000 65980110150 66170988000 67273837800 68108500800 68619314556 68998808000 69172696125 70306674750 70378784160 72574632000 73311233500 73784209200 74993786400 76243682840 77623659000 80728605360 84092297250 84454540992 85135626000 85774143195 86531292000 86804952000 87973480200 88541051040 89698450400 89992543680 91492419408 92230261500 93742233000 95304603550 98378945600 100910756700 103498212000 105568176240 107638140480 109966850250 110676313800 112123063000 112490679600 113514168000 114365524260 117297973600 121989892544 122973682000 124197854400 124989644000 126138445875 130207428000 131960220300 132341976000 134547675600 137238629112 138345392250 140613349500 140757568320 142956905325 146622467000 147568418400 149987572800 152487365680 155247318000 161457210720 164950275375 168184594500 170271252000 171548286390 173062584000 175946960400 177082102080 179396900800 182984838816 184460523000 187484466000 190609207100 201821513400 206996424000 211136352480 219933700500 221352627600 224246126000 224981359200 228731048520 234595947200 238261508875 245947364000 249979288000 252276891750 260414856000 263920440600 269095351200 274477258224 276690784500 281226699000 285913810650 293244934000 295136836800 304974731360 310494636000 322914421440 329900550750 336369189000 340542504000 343096572780 351893920800 365969677632 368921046000 374968932000 381218414200 403643026800 422272704960 428870715975 439867401000 442705255200 448492252000 449962718400 457462097040 476523017750 491894728000 504553783500 527840881200 538190702400 548954516448 553381569000 562453398000 571827621300 586489868000 609949462720 620989272000 659801101500 672738378000 686193145560 703787841600 714784526625 737842092000 749937864000 762436828400 807286053600 857741431950 879734802000 885410510400 896984504000 914924194080 953046035500 1009107567000 1055681762400 1097909032896 1106763138000 1124906796000 1143655242600 1172979736000 1319602203000 1345476756000 1372386291120 1429569053250 1475684184000 1524873656800 1614572107200 1715482863900 1759469604000 1829848388160 1906092071000 2018215134000 2111363524800 2144353579875 2213526276000 2249813592000 2287310485200 2639204406000 2690953512000 2744772582240 2859138106500 3049747313600 3430965727800 3518939208000 3812184142000 4036430268000 4288707159750 4427052552000 4574620970400 5278408812000 5489545164480 5718276213000 6861931455600 7624368284000 8072860536000 8577414319500 9149241940800 10556817624000 11436552426000 13723862911200 15248736568000 17154828639000 22873104852000 27447725822400 34309657278000 45746209704000 68619314556000 137238629112000
- Sum of all divisors σ(n): 587447636944896
- Sum of proper divisors (its aliquot sum) s(n): 450209007832896
- 137238629112000 is an abundant number, because the sum of its proper divisors (450209007832896) is greater than itself. Its abundance is 312970378720896
Bases of 137238629112000
- Binary: 111110011010001010110111011110011011000110000002
- Hexadecimal: 0x7CD15BBCD8C0
- Base-36: 1CNAK0DKG0
Squares and roots of 137238629112000
- 137238629112000 squared (1372386291120002) is 18834441320541093908544000000
- 137238629112000 cubed (1372386291120003) is 2584812906921466694069432463932928000000000
-
The
square root of 137238629112000 is 11714889.2061342177 -
The
cube root of 137238629112000 is 51581.2810323747
Scales and comparisons
How big is 137238629112000?- 137,238,629,112,000 seconds is equal to 4,363,763 years, 46 weeks, 5 days, 4 hours.
-
To count from 1 to 137,238,629,112,000 would take you about ten million, nine hundred nine thousand, four hundred nine 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 137238629112000 cubic inches would be around 4298.4 feet tall.
Recreational maths with 137238629112000
- 137238629112000 backwards is 000211926832731
- 137238629112000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137238629112000's digits is 45
- More coming soon!
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"Number 137238629112000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 137238629112000 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/137238629112000/
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The information we have on file for 137238629112000 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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