137829037996125000
137,829,037,996,125,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 137829037996125000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2268 divisors.
137829037996125000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 137829037996125000:
23 × 32 × 56 × 72 × 312 × 16132
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 31 × 31 × 1613 × 1613)See below for interesting mathematical facts about the number 137829037996125000 from the Numbermatics database.
Names of 137829037996125000
- Cardinal: 137829037996125000 can be written as One hundred thirty-seven quadrillion, eight hundred twenty-nine trillion, thirty-seven billion, nine hundred ninety-six million, one hundred twenty-five thousand.
Scientific notation
- Scientific notation: 1.37829037996125 × 1017
Factors of 137829037996125000
Divisors of 137829037996125000
- Number of divisors d(n): 2268
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 31 35 36 40 42 45 49 50 56 60 62 63 70 72 75 84 90 93 98 100 105 120 124 125 126 140 147 150 155 168 175 180 186 196 200 210 217 225 245 248 250 252 279 280 294 300 310 315 350 360 372 375 392 420 434 441 450 465 490 500 504 525 558 588 600 620 625 630 651 700 735 744 750 775 840 868 875 882 900 930 961 980 1000 1050 1085 1116 1125 1176 1225 1240 1250 1260 1302 1395 1400 1470 1500 1519 1550 1575 1613 1736 1750 1764 1800 1860 1875 1922 1953 1960 2100 2170 2205 2232 2250 2325 2450 2500 2520 2604 2625 2790 2883 2940 3000 3038 3100 3125 3150 3226 3255 3500 3528 3675 3720 3750 3844 3875 3906 4200 4340 4375 4410 4500 4557 4650 4805 4839 4900 5000 5208 5250 5425 5580 5625 5766 5880 6076 6125 6200 6250 6300 6452 6510 6727 6975 7000 7350 7500 7595 7688 7750 7812 7875 8065 8649 8680 8750 8820 9000 9114 9300 9375 9610 9678 9765 9800 10500 10850 11025 11160 11250 11291 11532 11625 12152 12250 12500 12600 12904 13020 13125 13454 13671 13950 14415 14517 14700 15000 15190 15500 15624 15625 15750 16130 16275 17298 17500 17640 18228 18375 18600 18750 19220 19356 19375 19530 20181 21000 21700 21875 22050 22500 22582 22785 23064 23250 24025 24195 24500 25000 26040 26250 26908 27125 27342 27900 28125 28830 29034 29400 30380 30625 31000 31250 31500 32260 32550 33635 33873 34596 34875 35000 36456 36750 37500 37975 38440 38712 38750 39060 39375 40325 40362 43245 43400 43750 44100 45000 45164 45570 46500 46875 47089 48050 48390 48825 49000 50003 52500 53816 54250 54684 55125 55800 56250 56455 57660 58068 58125 60543 60760 61250 62500 63000 64520 65100 65625 67270 67746 68355 69192 69750 72075 72585 73500 75000 75950 77500 78120 78750 79037 80650 80724 81375 86490 87500 88200 90328 91140 91875 93000 93750 94178 96100 96780 96875 97650 100006 100905 101619 105000 108500 109368 109375 110250 112500 112910 113925 115320 116136 116250 120125 120975 121086 122500 125000 130200 131250 134540 135492 135625 136710 139500 140625 141267 144150 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22052646079380 22230489999375 22502700081000 22684173468750 23440312584375 23903752687500 24502940088200 24700544443750 25406274285000 26253150094500 26464869046875 27565807599225 28128375101250 28482958875000 28684503225000 29640653332500 30245564625000 30628675110250 31253750112500 31503780113400 31757842856250 32816437618125 35286492062500 35568783999000 35855629031250 36754410132300 37050816665625 37504500135000 39067187640625 39379725141750 42343790475000 42724438312500 43755250157500 44105292158760 44460979998750 45368346937500 45943012665375 46880625168750 47807505375000 49401088887500 52506300189000 52929738093750 54694062696875 55131615198450 56256750202500 59281306665000 61257350220500 61751361109375 62507500225000 63515685712500 65632875236250 70320937753125 70572984125000 71711258062500 73508820264600 74101633331250 76571687775625 78134375281250 78759450283500 79394607140625 85448876625000 87510500315000 88921959997500 90736693875000 91886025330750 93761250337500 98449312854375 98802177775000 105859476187500 109388125393750 110263230396900 111152449996875 112513500405000 117201562921875 122514700441000 123502722218750 127031371425000 131265750472500 137829037996125 140641875506250 143422516125000 148203266662500 153143375551250 156268750562500 157518900567000 158789214281250 164082188090625 177843919995000 183772050661500 185254083328125 187522500675000 196898625708750 211718952375000 218776250787500 220526460793800 222304899993750 229715063326875 234403125843750 247005444437500 262531500945000 273470313484375 275658075992250 281283751012500 296406533325000 306286751102500 312537501125000 317578428562500 328164376181250 351604688765625 367544101323000 370508166656250 382858438878125 393797251417500 437552501575000 444609799987500 459430126653750 468806251687500 492246564271875 494010888875000 546940626968750 551316151984500 555762249984375 562567502025000 612573502205000 635156857125000 656328752362500 689145189980625 703209377531250 741016333312500 765716877756250 787594502835000 820410940453125 889219599975000 918860253307500 937612503375000 984493128543750 1093881253937500 1102632303969000 1111524499968750 1148575316634375 1312657504725000 1378290379961250 1406418755062500 1482032666625000 1531433755512500 1640821880906250 1837720506615000 1914292194390625 1968986257087500 2187762507875000 2223048999937500 2297150633268750 2461232821359375 2756580759922500 2812837510125000 3062867511025000 3281643761812500 3445725949903125 3828584388781250 3937972514175000 4446097999875000 4594301266537500 4922465642718750 5513161519845000 5742876583171875 6563287523625000 6891451899806250 7657168777562500 9188602533075000 9844931285437500 11485753166343750 13782903799612500 15314337555125000 17228629749515625 19689862570875000 22971506332687500 27565807599225000 34457259499031250 45943012665375000 68914518998062500 137829037996125000
- Sum of all divisors σ(n): 561204649119108735
- Sum of proper divisors (its aliquot sum) s(n): 423375611122983735
- 137829037996125000 is an abundant number, because the sum of its proper divisors (423375611122983735) is greater than itself. Its abundance is 285546573126858735
Bases of 137829037996125000
- Binary: 1111010011010101011000111101000010111111000101011010010002
- Hexadecimal: 0x1E9AAC7A17E2B48
- Base-36: 11P4BDXYL6Q0
Squares and roots of 137829037996125000
- 137829037996125000 squared (1378290379961250002) is 18996843714937268955515015625000000
- 137829037996125000 cubed (1378290379961250003) is 2618316694192537241090517480946098064453125000000000
-
The
square root of 137829037996125000 is 371253333.9865448265 -
The
cube root of 137829037996125000 is 516551.4380977295
Scales and comparisons
How big is 137829037996125000?- 137,829,037,996,125,000 seconds is equal to 4,382,537,075 years, 3 weeks, 4 days, 12 hours, 30 minutes.
-
To count from 1 to 137,829,037,996,125,000 would take you about thirteen billion, one hundred forty-seven million, six hundred eleven thousand, two hundred twenty-five 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 137829037996125000 cubic inches would be around 43046 feet tall.
Recreational maths with 137829037996125000
- 137829037996125000 backwards is 000521699730928731
- 137829037996125000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137829037996125000's digits is 72
- More coming soon!
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"Number 137829037996125000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 137829037996125000 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/137829037996125000/
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The information we have on file for 137829037996125000 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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