138462863945280000
138,462,863,945,280,000 is an even composite number composed of six prime numbers multiplied together.
138462863945280000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand divisors.
Prime factorization of 138462863945280000:
29 × 3 × 54 × 7 × 232 × 794
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 7 × 23 × 23 × 79 × 79 × 79 × 79)See below for interesting mathematical facts about the number 138462863945280000 from the Numbermatics database.
Names of 138462863945280000
- Cardinal: 138462863945280000 can be written as One hundred thirty-eight quadrillion, four hundred sixty-two trillion, eight hundred sixty-three billion, nine hundred forty-five million, two hundred eighty thousand.
Scientific notation
- Scientific notation: 1.3846286394528 × 1017
Factors of 138462863945280000
Divisors of 138462863945280000
- Number of divisors d(n): 3000
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 25 28 30 32 35 40 42 46 48 50 56 60 64 69 70 75 79 80 84 92 96 100 105 112 115 120 125 128 138 140 150 158 160 161 168 175 184 192 200 210 224 230 237 240 250 256 276 280 300 316 320 322 336 345 350 368 375 384 395 400 420 448 460 474 480 483 500 512 525 529 552 553 560 575 600 625 632 640 644 672 690 700 736 750 768 790 800 805 840 875 896 920 948 960 966 1000 1050 1058 1104 1106 1120 1150 1185 1200 1250 1264 1280 1288 1344 1380 1400 1472 1500 1536 1580 1587 1600 1610 1659 1680 1725 1750 1792 1817 1840 1875 1896 1920 1932 1975 2000 2100 2116 2208 2212 2240 2300 2370 2400 2415 2500 2528 2560 2576 2625 2645 2688 2760 2765 2800 2875 2944 3000 3160 3174 3200 3220 3318 3360 3450 3500 3584 3634 3680 3703 3750 3792 3840 3864 3950 4000 4025 4200 4232 4375 4416 4424 4480 4600 4740 4800 4830 5000 5056 5152 5250 5290 5376 5451 5520 5530 5600 5750 5888 5925 6000 6241 6320 6348 6400 6440 6636 6720 6900 7000 7268 7360 7406 7500 7584 7680 7728 7900 7935 8000 8050 8295 8400 8464 8625 8750 8832 8848 8960 9085 9200 9480 9600 9660 9875 10000 10112 10304 10500 10580 10752 10902 11040 11060 11109 11200 11500 11776 11850 12000 12075 12482 12640 12696 12719 12800 12880 13125 13225 13272 13440 13800 13825 14000 14375 14536 14720 14812 15000 15168 15456 15800 15870 16000 16100 16590 16800 16928 17250 17500 17664 17696 17920 18170 18400 18515 18723 18960 19200 19320 19750 20000 20125 20224 20608 21000 21160 21804 22080 22120 22218 22400 23000 23700 24000 24150 24964 25280 25392 25438 25760 26250 26450 26544 26880 27255 27600 27650 28000 28750 29072 29440 29624 29625 30000 30336 30912 31205 31600 31740 32000 32200 33180 33600 33856 34500 35000 35328 35392 36340 36800 37030 37446 37920 38157 38400 38640 39500 39675 40000 40250 40448 41216 41475 41791 42000 42320 43125 43608 43687 44160 44240 44436 44800 45425 46000 47400 48000 48300 49375 49928 50560 50784 50876 51520 52500 52900 53088 53760 54510 55200 55300 55545 56000 57500 58144 58880 59248 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329673485584000 346157159863200 350538896064000 360580374857500 369234303854080 376257782460000 395608182700800 401341634624000 412091856980000 430008894240000 432696449829000 438173620080000 461542879817600 494510228376000 501677043280000 540870562286250 553851455781120 576928599772000 584231493440000 602012451936000 618137785470000 659346971168000 692314319726400 721160749715000 752515564920000 791216365401600 824183713960000 860017788480000 865392899658000 876347240160000 923085759635200 989020456752000 1003354086560000 1081741124572500 1107702911562240 1153857199544000 1204024903872000 1236275570940000 1318693942336000 1384628639452800 1442321499430000 1505031129840000 1648367427920000 1730785799316000 1752694480320000 1846171519270400 1978040913504000 2006708173120000 2163482249145000 2307714399088000 2472551141880000 2769257278905600 2884642998860000 3010062259680000 3296734855840000 3461571598632000 3956081827008000 4326964498290000 4615428798176000 4945102283760000 5538514557811200 5769285997720000 6020124519360000 6593469711680000 6923143197264000 8653928996580000 9230857596352000 9890204567520000 11538571995440000 13846286394528000 17307857993160000 19780409135040000 23077143990880000 27692572789056000 34615715986320000 46154287981760000 69231431972640000 138462863945280000
- Sum of all divisors σ(n): 557753919440470368
- Sum of proper divisors (its aliquot sum) s(n): 419291055495190368
- 138462863945280000 is an abundant number, because the sum of its proper divisors (419291055495190368) is greater than itself. Its abundance is 280828191549910368
Bases of 138462863945280000
- Binary: 1111010111110101100111101101111000000101010101010000000002
- Hexadecimal: 0x1EBEB3DBC0AAA00
- Base-36: 11VCZLKBTBEO
Squares and roots of 138462863945280000
- 138462863945280000 squared (1384628639452800002) is 19171964691929120166834278400000000
- 138462863945280000 cubed (1384628639452800003) is 2654605138702293755357670545108165885952000000000000
-
The
square root of 138462863945280000 is 372105984.8286237925 -
The
cube root of 138462863945280000 is 517342.0385839115
Scales and comparisons
How big is 138462863945280000?- 138,462,863,945,280,000 seconds is equal to 4,402,690,779 years, 36 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 138,462,863,945,280,000 would take you about thirteen billion, two hundred eight million, seventy-two thousand, three hundred thirty-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 138462863945280000 cubic inches would be around 43111.8 feet tall.
Recreational maths with 138462863945280000
- 138462863945280000 backwards is 000082549368264831
- 138462863945280000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138462863945280000's digits is 69
- More coming soon!
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"Number 138462863945280000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 138462863945280000 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/138462863945280000/
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Numbermatics. 2024. "Number 138462863945280000 - Facts about the integer". https://numbermatics.com/n/138462863945280000/
The information we have on file for 138462863945280000 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!
Keywords: Divisors of 138462863945280000, math, Factors of 138462863945280000, curriculum, school, college, exams, university, Prime factorization of 138462863945280000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, four hundred sixty-two trillion, eight hundred sixty-three billion, nine hundred forty-five million, two hundred eighty thousand.