137342407680000
137,342,407,680,000 is an even composite number composed of five prime numbers multiplied together.
137342407680000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred divisors.
Prime factorization of 137342407680000:
213 × 34 × 54 × 612 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 61 × 61 × 89)See below for interesting mathematical facts about the number 137342407680000 from the Numbermatics database.
Names of 137342407680000
- Cardinal: 137342407680000 can be written as One hundred thirty-seven trillion, three hundred forty-two billion, four hundred seven million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 1.3734240768 × 1014
Factors of 137342407680000
Divisors of 137342407680000
- Number of divisors d(n): 2100
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 61 64 72 75 80 81 89 90 96 100 108 120 122 125 128 135 144 150 160 162 178 180 183 192 200 216 225 240 244 250 256 267 270 288 300 305 320 324 356 360 366 375 384 400 405 432 445 450 480 488 500 512 534 540 549 576 600 610 625 640 648 675 712 720 732 750 768 800 801 810 864 890 900 915 960 976 1000 1024 1068 1080 1098 1125 1152 1200 1220 1250 1280 1296 1335 1350 1424 1440 1464 1500 1525 1536 1600 1602 1620 1647 1728 1780 1800 1830 1875 1920 1952 2000 2025 2048 2136 2160 2196 2225 2250 2304 2400 2403 2440 2500 2560 2592 2670 2700 2745 2848 2880 2928 3000 3050 3072 3200 3204 3240 3294 3375 3456 3560 3600 3660 3721 3750 3840 3904 4000 4005 4050 4096 4272 4320 4392 4450 4500 4575 4608 4800 4806 4880 4941 5000 5120 5184 5340 5400 5429 5490 5625 5696 5760 5856 6000 6100 6144 6400 6408 6480 6588 6675 6750 6912 7120 7200 7209 7320 7442 7500 7625 7680 7808 8000 8010 8100 8192 8235 8544 8640 8784 8900 9000 9150 9216 9600 9612 9760 9882 10000 10125 10240 10368 10680 10800 10858 10980 11125 11163 11250 11392 11520 11712 12000 12015 12200 12288 12800 12816 12960 13176 13350 13500 13725 13824 14240 14400 14418 14640 14884 15000 15250 15360 15616 16000 16020 16200 16287 16470 16875 17088 17280 17568 17800 18000 18300 18432 18605 19200 19224 19520 19764 20000 20025 20250 20480 20736 21360 21600 21716 21960 22250 22326 22500 22784 22875 23040 23424 24000 24030 24400 24576 24705 25600 25632 25920 26352 26700 27000 27145 27450 27648 28480 28800 28836 29280 29768 30000 30500 30720 31232 32000 32040 32400 32574 32940 33375 33489 33750 34176 34560 35136 35600 36000 36045 36600 36864 37210 38125 38400 38448 39040 39528 40000 40050 40500 40960 41175 41472 42720 43200 43432 43920 44500 44652 45000 45568 45750 46080 46848 48000 48060 48800 48861 49410 50625 51200 51264 51840 52704 53400 54000 54290 54900 55296 55625 55815 56960 57600 57672 58560 59536 60000 60075 61000 61440 62464 64000 64080 64800 65148 65880 66750 66978 67500 68352 68625 69120 70272 71200 72000 72090 73200 73728 74420 76250 76800 76896 78080 79056 80000 80100 81000 81435 82350 82944 85440 86400 86864 87840 89000 89304 90000 91136 91500 92160 93025 93696 96000 96120 97600 97722 98820 100125 100467 101250 102400 102528 103680 105408 106800 108000 108580 109800 110592 111250 111630 113920 114375 115200 115344 117120 119072 120000 120150 122000 122880 123525 124928 128000 128160 129600 130296 131760 133500 133956 135000 135725 136704 137250 138240 140544 142400 144000 144180 146400 146583 148840 152500 153600 153792 156160 158112 160000 160200 162000 162870 164700 165888 166875 167445 170880 172800 173728 175680 178000 178608 180000 180225 182272 183000 184320 186050 187392 192000 192240 195200 195444 197640 200250 200934 202500 204800 205056 205875 207360 210816 213600 216000 217160 219600 221184 222500 223260 227840 228750 230400 230688 234240 238144 240000 240300 244000 244305 247050 249856 256000 256320 259200 260592 263520 267000 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286130016000 305205350400 308634624000 317922240000 339117056000 343356019200 357662520000 366246420480 375252480000 381506688000 385793280000 423896320000 429195024000 450302976000 457808025600 476883360000 508675584000 514391040000 536493780000 549369630720 562878720000 572260032000 610410700800 635844480000 686712038400 715325040000 750504960000 763013376000 771586560000 847792640000 858390048000 915616051200 953766720000 1017351168000 1072987560000 1098739261440 1125757440000 1144520064000 1271688960000 1373424076800 1430650080000 1526026752000 1543173120000 1695585280000 1716780096000 1831232102400 1907533440000 2145975120000 2251514880000 2289040128000 2543377920000 2746848153600 2861300160000 3052053504000 3433560192000 3815066880000 4291950240000 4578080256000 5086755840000 5493696307200 5722600320000 6867120384000 7630133760000 8583900480000 9156160512000 11445200640000 13734240768000 15260267520000 17167800960000 22890401280000 27468481536000 34335601920000 45780802560000 68671203840000 137342407680000
- Sum of all divisors σ(n): 527119018865010
- Sum of proper divisors (its aliquot sum) s(n): 389776611185010
- 137342407680000 is an abundant number, because the sum of its proper divisors (389776611185010) is greater than itself. Its abundance is 252434203505010
Bases of 137342407680000
- Binary: 111110011101001100001010110110000100000000000002
- Hexadecimal: 0x7CE9856C2000
- Base-36: 1COM8BGG00
Squares and roots of 137342407680000
- 137342407680000 squared (1373424076800002) is 18862936947339322982400000000
- 137342407680000 cubed (1373424076800003) is 2590681176263611988343974264832000000000000
-
The
square root of 137342407680000 is 11719317.7139285715 -
The
cube root of 137342407680000 is 51594.2795172721
Scales and comparisons
How big is 137342407680000?- 137,342,407,680,000 seconds is equal to 4,367,063 years, 38 weeks, 2 days.
-
To count from 1 to 137,342,407,680,000 would take you about ten million, nine hundred seventeen thousand, six hundred fifty-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 137342407680000 cubic inches would be around 4299.5 feet tall.
Recreational maths with 137342407680000
- 137342407680000 backwards is 000086704243731
- 137342407680000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137342407680000's digits is 45
- More coming soon!
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"Number 137342407680000 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 137342407680000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/137342407680000/
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The information we have on file for 137342407680000 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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