138729582748224000
138,729,582,748,224,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138729582748224000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3840 divisors.
138729582748224000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 138729582748224000:
29 × 32 × 53 × 13 × 17 × 29 × 3121 × 12041
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 17 × 29 × 3121 × 12041)See below for interesting mathematical facts about the number 138729582748224000 from the Numbermatics database.
Names of 138729582748224000
- Cardinal: 138729582748224000 can be written as One hundred thirty-eight quadrillion, seven hundred twenty-nine trillion, five hundred eighty-two billion, seven hundred forty-eight million, two hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.38729582748224 × 1017
Factors of 138729582748224000
Divisors of 138729582748224000
- Number of divisors d(n): 3840
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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 29 30 32 34 36 39 40 45 48 50 51 52 58 60 64 65 68 72 75 78 80 85 87 90 96 100 102 104 116 117 120 125 128 130 136 144 145 150 153 156 160 170 174 180 192 195 200 204 208 221 225 232 234 240 250 255 256 260 261 272 288 290 300 306 312 320 325 340 348 360 375 377 384 390 400 408 416 425 435 442 450 464 468 480 493 500 510 512 520 522 544 576 580 585 600 612 624 640 650 663 680 696 720 725 750 754 765 768 780 800 816 832 850 870 884 900 928 936 960 975 986 1000 1020 1040 1044 1088 1105 1125 1131 1152 1160 1170 1200 1224 1248 1275 1280 1300 1305 1326 1360 1392 1440 1450 1479 1500 1508 1530 1536 1560 1600 1625 1632 1664 1700 1740 1768 1800 1856 1872 1885 1920 1950 1972 1989 2000 2040 2080 2088 2125 2175 2176 2210 2250 2262 2304 2320 2340 2400 2448 2465 2496 2550 2560 2600 2610 2652 2720 2784 2880 2900 2925 2958 3000 3016 3060 3120 3121 3200 3250 3264 3315 3328 3393 3400 3480 3536 3600 3625 3712 3744 3770 3825 3840 3900 3944 3978 4000 4080 4160 4176 4250 4350 4352 4420 4437 4500 4524 4608 4640 4680 4800 4875 4896 4930 4992 5100 5200 5220 5304 5440 5525 5568 5655 5760 5800 5850 5916 6000 6032 6120 6240 6242 6375 6400 6409 6500 6525 6528 6630 6656 6786 6800 6960 7072 7200 7250 7395 7424 7488 7540 7650 7680 7800 7888 7956 8000 8160 8320 8352 8500 8700 8704 8840 8874 9000 9048 9280 9360 9363 9425 9600 9750 9792 9860 9945 9984 10200 10400 10440 10608 10875 10880 11050 11136 11310 11520 11600 11700 11832 12000 12041 12064 12240 12325 12480 12484 12750 12800 12818 13000 13050 13056 13260 13572 13600 13920 14144 14400 14500 14625 14790 14848 14976 15080 15300 15600 15605 15776 15912 16000 16320 16575 16640 16704 16965 17000 17400 17680 17748 18000 18096 18560 18720 18726 18850 19125 19200 19227 19500 19584 19720 19890 19968 20400 20800 20880 21216 21750 21760 22100 22185 22272 22620 23040 23200 23400 23664 24000 24082 24128 24480 24650 24960 24968 25500 25636 26000 26100 26112 26520 27144 27200 27625 27840 28089 28275 28288 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277459165496448 281398747968000 289019964058800 296430732368000 298986169716000 308287961662720 313867834272000 318918581030400 326422547642880 333484573914000 340023487128000 346823956870560 355716878841600 361274955073500 367982978112000 369945553995264 385359952078400 398648226288000 408028184553600 426860254609920 433529946088200 444646098552000 453364649504000 462431942494080 478377871545600 481699940098000 510035230692000 531530968384000 533575318262400 541912432610250 544037579404800 554918330992896 578039928117600 592861464736000 597972339432000 616575923325440 627735668544000 666969147828000 680046974256000 693647913741120 711433757683200 722549910147000 770719904156800 797296452576000 816056369107200 867059892176400 889292197104000 906729299008000 924863884988160 956755743091200 963399880196000 1020070461384000 1067150636524800 1083824865220500 1109836661985792 1156079856235200 1185722929472000 1195944678864000 1333938295656000 1360093948512000 1387295827482240 1445099820294000 1541439808313600 1594592905152000 1632112738214400 1734119784352800 1778584394208000 1849727769976320 1926799760392000 2040140922768000 2134301273049600 2167649730441000 2312159712470400 2391889357728000 2667876591312000 2720187897024000 2774591654964480 2890199640588000 3082879616627200 3468239568705600 3557168788416000 3853599520784000 4080281845536000 4335299460882000 4624319424940800 4783778715456000 5335753182624000 5549183309928960 5780399281176000 6936479137411200 7707199041568000 8160563691072000 8670598921764000 9248638849881600 10671506365248000 11560798562352000 13872958274822400 15414398083136000 17341197843528000 23121597124704000 27745916549644800 34682395687056000 46243194249408000 69364791374112000 138729582748224000
- Sum of all divisors σ(n): 589653528175071360
- Sum of proper divisors (its aliquot sum) s(n): 450923945426847360
- 138729582748224000 is an abundant number, because the sum of its proper divisors (450923945426847360) is greater than itself. Its abundance is 312194362678623360
Bases of 138729582748224000
- Binary: 1111011001101110111010010000010111000101111001010000000002
- Hexadecimal: 0x1ECDDD20B8BCA00
- Base-36: 11XZJ6HOM0W0
Squares and roots of 138729582748224000
- 138729582748224000 squared (1387295827482240002) is 19245897129496330084575154176000000
- 138729582748224000 cubed (1387295827482240003) is 2669975278390267876987397867623194590183424000000000
-
The
square root of 138729582748224000 is 372464203.3111692199 -
The
cube root of 138729582748224000 is 517674.0080874335
Scales and comparisons
How big is 138729582748224000?- 138,729,582,748,224,000 seconds is equal to 4,411,171,612 years, 32 weeks, 1 day, 8 hours.
-
To count from 1 to 138,729,582,748,224,000 would take you about thirteen billion, two hundred thirty-three million, five hundred fourteen thousand, eight hundred thirty-seven 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 138729582748224000 cubic inches would be around 43139.5 feet tall.
Recreational maths with 138729582748224000
- 138729582748224000 backwards is 000422847285927831
- 138729582748224000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138729582748224000's digits is 72
- More coming soon!
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The information we have on file for 138729582748224000 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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