138186396336128000
138,186,396,336,128,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138186396336128000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 4320 divisors.
138186396336128000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, three hundred twenty divisors.
Prime factorization of 138186396336128000:
219 × 53 × 72 × 17 × 372 × 432
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 17 × 37 × 37 × 43 × 43)See below for interesting mathematical facts about the number 138186396336128000 from the Numbermatics database.
Names of 138186396336128000
- Cardinal: 138186396336128000 can be written as One hundred thirty-eight quadrillion, one hundred eighty-six trillion, three hundred ninety-six billion, three hundred thirty-six million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.38186396336128 × 1017
Factors of 138186396336128000
Divisors of 138186396336128000
- Number of divisors d(n): 4320
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 37 40 43 49 50 56 64 68 70 74 80 85 86 98 100 112 119 125 128 136 140 148 160 170 172 175 185 196 200 215 224 238 245 250 256 259 272 280 296 301 320 340 344 350 370 392 400 425 430 448 476 490 500 512 518 544 560 592 595 602 629 640 680 688 700 731 740 784 800 833 850 860 875 896 925 952 980 1000 1024 1036 1075 1088 1120 1184 1190 1204 1225 1258 1280 1295 1360 1369 1376 1400 1462 1480 1505 1568 1591 1600 1666 1700 1720 1750 1792 1813 1849 1850 1904 1960 2000 2048 2072 2107 2125 2150 2176 2240 2368 2380 2408 2450 2516 2560 2590 2720 2738 2752 2800 2924 2960 2975 3010 3136 3145 3182 3200 3332 3400 3440 3500 3584 3626 3655 3698 3700 3808 3920 4000 4096 4144 4165 4214 4250 4300 4352 4403 4480 4625 4736 4760 4816 4900 5032 5117 5120 5180 5375 5440 5476 5504 5600 5848 5920 5950 6020 6125 6272 6290 6364 6400 6475 6664 6800 6845 6880 7000 7168 7252 7310 7396 7400 7525 7616 7840 7955 8000 8192 8288 8330 8428 8500 8600 8704 8806 8960 9065 9245 9250 9472 9520 9583 9632 9800 10064 10234 10240 10360 10535 10750 10880 10952 11008 11137 11200 11696 11840 11900 12040 12250 12544 12580 12728 12800 12943 12950 13328 13600 13690 13760 14000 14336 14504 14620 14792 14800 14875 15050 15232 15680 15725 15910 16000 16384 16576 16660 16856 17000 17200 17408 17612 17920 18130 18275 18490 18500 18944 19040 19166 19264 19600 20128 20468 20480 20720 20825 21070 21500 21760 21904 22015 22016 22274 22400 23273 23392 23680 23800 24080 24500 25088 25160 25456 25585 25600 25886 25900 26656 27047 27200 27380 27520 28000 28672 29008 29240 29584 29600 29750 30100 30464 30821 31360 31433 31450 31820 32000 32375 32768 33152 33320 33712 34000 34225 34400 34816 35224 35819 35840 36260 36550 36980 37000 37625 37888 38080 38332 38528 39200 39775 40256 40936 40960 41440 41650 42140 43000 43520 43808 44030 44032 44548 44800 45325 46225 46546 46784 47360 47600 47915 48160 49000 50176 50320 50912 51170 51200 51772 51800 52675 53312 54094 54400 54760 55040 55685 56000 57344 58016 58480 58867 59168 59200 59500 60200 60928 61642 62720 62866 62900 63640 64000 64715 64750 65536 66304 66640 67081 67424 68000 68413 68450 68800 69632 70448 71638 71680 72520 73100 73960 74000 75250 75776 76160 76664 77056 77959 78400 78625 79550 80512 81872 81920 82880 83300 84280 86000 87040 87616 88060 88064 89096 89600 90601 90650 91375 92450 93092 93568 94720 95200 95830 96320 98000 100352 100640 101824 102340 102400 103544 103600 104125 105350 106624 108188 108800 109520 110075 110080 111370 112000 114688 116032 116365 116960 117734 118336 118400 119000 120400 121856 123284 125440 125732 125800 127280 127925 128000 129430 129500 131072 132608 133280 134162 134848 135235 136000 136826 136900 137600 139264 140896 143276 143360 145040 146200 147920 148000 150500 151552 152320 153328 154105 154112 155918 156800 157165 157250 159100 161024 162911 163744 163840 165760 166600 168560 171125 172000 174080 175232 176120 176128 178192 179095 179200 181202 181300 182750 184900 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127009555456000 128545484963840 133384552448000 134947652672000 138186396336128 141006526873600 145153777664000 149390698741760 154225888768000 157927310098432 160681856204800 162572230983680 165890031616000 172732995420160 176258158592000 186738373427200 189037477888000 197409137623040 200852320256000 203215288729600 215916244275200 219692204032000 229545508864000 232246044262400 233422966784000 246761422028800 254019110912000 266769104896000 269895305344000 276372792672256 282013053747200 290307555328000 308451777536000 321363712409600 325144461967360 345465990840320 352516317184000 373476746854400 394818275246080 401704640512000 406430577459200 431832488550400 459091017728000 466845933568000 493522844057600 508038221824000 533538209792000 539790610688000 552745585344512 564026107494400 580615110656000 616903555072000 642727424819200 690931981680640 705032634368000 746953493708800 789636550492160 803409281024000 812861154918400 863664977100800 933691867136000 987045688115200 1016076443648000 1079581221376000 1105491170689024 1161230221312000 1233807110144000 1381863963361280 1410065268736000 1606818562048000 1625722309836800 1727329954201600 1867383734272000 1974091376230400 2032152887296000 2159162442752000 2467614220288000 2763727926722560 2820130537472000 3213637124096000 3454659908403200 3734767468544000 3948182752460800 4064305774592000 4318324885504000 4935228440576000 5527455853445120 6909319816806400 8128611549184000 8636649771008000 9870456881152000 13818639633612800 17273299542016000 19740913762304000 27637279267225600 34546599084032000 69093198168064000 138186396336128000
- Sum of all divisors σ(n): 447008899547410200
- Sum of proper divisors (its aliquot sum) s(n): 308822503211282200
- 138186396336128000 is an abundant number, because the sum of its proper divisors (308822503211282200) is greater than itself. Its abundance is 170636106875154200
Bases of 138186396336128000
- Binary: 1111010101110111111001011100110100110100000000000000000002
- Hexadecimal: 0x1EAEFCB9A680000
- Base-36: 11SMZM3JI9KW
Squares and roots of 138186396336128000
- 138186396336128000 squared (1381863963361280002) is 19095480132365449942358032384000000
- 138186396336128000 cubed (1381863963361280003) is 2638735585799710028384598195021168773169152000000000
-
The
square root of 138186396336128000 is 371734308.7961185215 -
The
cube root of 138186396336128000 is 516997.4850272149
Scales and comparisons
How big is 138186396336128000?- 138,186,396,336,128,000 seconds is equal to 4,393,899,964 years, 46 weeks, 5 days, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 138,186,396,336,128,000 would take you about thirteen billion, one hundred eighty-one million, six hundred ninety-nine thousand, eight hundred ninety-four 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 138186396336128000 cubic inches would be around 43083.1 feet tall.
Recreational maths with 138186396336128000
- 138186396336128000 backwards is 000821633693681831
- 138186396336128000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138186396336128000's digits is 68
- More coming soon!
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"Number 138186396336128000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 June 2024.
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Numbermatics. (2024). Number 138186396336128000 - Facts about the integer. Retrieved 11 June 2024, from https://numbermatics.com/n/138186396336128000/
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The information we have on file for 138186396336128000 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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