138577141248000
138,577,141,248,000 is an even composite number composed of eight prime numbers multiplied together.
138577141248000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, three hundred twenty-eight divisors.
Prime factorization of 138577141248000:
212 × 3 × 53 × 7 × 13 × 17 × 29 × 2011
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 13 × 17 × 29 × 2011)See below for interesting mathematical facts about the number 138577141248000 from the Numbermatics database.
Names of 138577141248000
- Cardinal: 138577141248000 can be written as One hundred thirty-eight trillion, five hundred seventy-seven billion, one hundred forty-one million, two hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.38577141248 × 1014
Factors of 138577141248000
Divisors of 138577141248000
- Number of divisors d(n): 3328
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 17 20 21 24 25 26 28 29 30 32 34 35 39 40 42 48 50 51 52 56 58 60 64 65 68 70 75 78 80 84 85 87 91 96 100 102 104 105 112 116 119 120 125 128 130 136 140 145 150 156 160 168 170 174 175 182 192 195 200 203 204 208 210 221 224 232 238 240 250 255 256 260 272 273 280 290 300 312 320 325 336 340 348 350 357 364 375 377 384 390 400 406 408 416 420 425 435 442 448 455 464 476 480 493 500 510 512 520 525 544 546 560 580 595 600 609 624 640 650 663 672 680 696 700 714 725 728 750 754 768 780 800 812 816 832 840 850 870 875 884 896 910 928 952 960 975 986 1000 1015 1020 1024 1040 1050 1088 1092 1105 1120 1131 1160 1190 1200 1218 1248 1275 1280 1300 1326 1344 1360 1365 1392 1400 1428 1450 1456 1479 1500 1508 1536 1547 1560 1600 1624 1625 1632 1664 1680 1700 1740 1750 1768 1785 1792 1820 1856 1885 1904 1920 1950 1972 2000 2011 2030 2040 2048 2080 2100 2125 2175 2176 2184 2210 2240 2262 2275 2320 2380 2400 2436 2465 2496 2550 2560 2600 2625 2639 2652 2688 2720 2730 2784 2800 2856 2900 2912 2958 2975 3000 3016 3045 3072 3094 3120 3200 3248 3250 3264 3315 3328 3360 3400 3451 3480 3500 3536 3570 3584 3625 3640 3712 3770 3808 3840 3900 3944 4000 4022 4060 4080 4096 4160 4200 4250 4350 4352 4368 4420 4480 4524 4550 4640 4641 4760 4800 4872 4875 4930 4992 5075 5100 5120 5200 5250 5278 5304 5376 5440 5460 5525 5568 5600 5655 5712 5800 5824 5916 5950 6000 6032 6033 6090 6144 6188 6240 6375 6400 6409 6496 6500 6528 6630 6656 6720 6800 6825 6902 6960 7000 7072 7140 7168 7250 7280 7395 7424 7540 7616 7680 7735 7800 7888 7917 8000 8044 8120 8160 8320 8400 8500 8700 8704 8736 8840 8925 8960 9048 9100 9280 9282 9425 9520 9600 9744 9750 9860 9984 10055 10150 10200 10240 10353 10400 10500 10556 10608 10752 10875 10880 10920 11050 11136 11200 11310 11375 11424 11600 11648 11832 11900 12000 12064 12066 12180 12288 12325 12376 12480 12750 12800 12818 12992 13000 13056 13195 13260 13312 13440 13600 13650 13804 13920 14000 14077 14144 14280 14336 14500 14560 14790 14848 14875 15080 15225 15232 15360 15470 15600 15776 15834 16000 16088 16240 16320 16575 16640 16800 17000 17255 17400 17408 17472 17680 17850 17920 18096 18200 18560 18564 18850 19040 19200 19227 19488 19500 19720 19968 20110 20300 20400 20480 20706 20800 21000 21112 21216 21504 21750 21760 21840 22100 22272 22400 22620 22750 22848 23200 23205 23296 23664 23800 24000 24128 24132 24360 24650 24752 24960 25375 25500 25600 25636 25984 26000 26112 26143 26390 26520 26624 26880 27200 27300 27608 27625 27840 28000 28154 28275 28288 28560 28672 29000 29120 29580 29696 29750 30160 30165 30450 30464 30720 30940 31200 31552 31668 32000 32045 32176 32480 32640 33150 33280 33600 34000 34125 34187 34510 34800 34816 34944 35360 35700 35840 36192 36400 36975 37120 37128 37700 38080 38400 38454 38675 38976 39000 39440 39585 39936 40220 40600 40800 41412 41600 42000 42224 42231 42432 43008 43500 43520 43680 44200 44544 44625 44800 44863 45240 45500 45696 46400 46410 46592 47125 47328 47600 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298657632000 304565145600 309323976000 313522944000 318568140800 326063861760 329945574400 333118128000 339649856000 341323008000 346442853120 355326003200 360877972000 367578624000 369539043328 380706432000 388171264000 395934689280 398210176000 407579827200 412431968000 426391203840 433053566400 444157504000 461923804160 477852211200 494918361600 507608576000 509474784000 532989004800 541316958000 543439769600 554308564992 577404755200 582256896000 597315264000 618647952000 627045888000 659891148800 666236256000 679299712000 682646016000 692885706240 710652006400 721755944000 761412864000 791869378560 796420352000 815159654400 824863936000 866107132800 888315008000 923847608320 955704422400 989836723200 1018949568000 1065978009600 1082633916000 1108617129984 1154809510400 1164513792000 1194630528000 1237295904000 1319782297600 1332472512000 1358599424000 1385771412480 1443511888000 1522825728000 1592840704000 1630319308800 1649727872000 1732214265600 1776630016000 1847695216640 1979673446400 2037899136000 2131956019200 2165267832000 2309619020800 2389261056000 2474591808000 2664945024000 2717198848000 2771542824960 2887023776000 3299455744000 3464428531200 3553260032000 3959346892800 4075798272000 4330535664000 4619238041600 4778522112000 4949183616000 5329890048000 5543085649920 5774047552000 6598911488000 6928857062400 8151596544000 8661071328000 9238476083200 9898367232000 10659780096000 11548095104000 13857714124800 17322142656000 19796734464000 23096190208000 27715428249600 34644285312000 46192380416000 69288570624000 138577141248000
- Sum of all divisors σ(n): 621958309539840
- Sum of proper divisors (its aliquot sum) s(n): 483381168291840
- 138577141248000 is an abundant number, because the sum of its proper divisors (483381168291840) is greater than itself. Its abundance is 344804027043840
Bases of 138577141248000
- Binary: 111111000001001000000010100011100110000000000002
- Hexadecimal: 0x7E0901473000
- Base-36: 1D4DGJXYIO
Squares and roots of 138577141248000
- 138577141248000 squared (1385771412480002) is 19203624076468142997504000000
- 138577141248000 cubed (1385771412480003) is 2661183326118219405137373919444992000000000
-
The
square root of 138577141248000 is 11771879.2572808867 -
The
cube root of 138577141248000 is 51748.4325100143
Scales and comparisons
How big is 138577141248000?- 138,577,141,248,000 seconds is equal to 4,406,324 years, 23 weeks, 18 hours, 40 minutes.
-
To count from 1 to 138,577,141,248,000 would take you about eleven million, fifteen thousand, eight hundred eleven 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 138577141248000 cubic inches would be around 4312.4 feet tall.
Recreational maths with 138577141248000
- 138577141248000 backwards is 000842141775831
- 138577141248000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138577141248000's digits is 51
- More coming soon!
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Cite this page
MLA style:
"Number 138577141248000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 138577141248000 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/138577141248000/
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The information we have on file for 138577141248000 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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