138363228432000
138,363,228,432,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138363228432000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 4096 divisors.
138363228432000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand and ninety-six divisors.
Prime factorization of 138363228432000:
27 × 33 × 53 × 11 × 133 × 29 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 13 × 13 × 13 × 29 × 457)See below for interesting mathematical facts about the number 138363228432000 from the Numbermatics database.
Names of 138363228432000
- Cardinal: 138363228432000 can be written as One hundred thirty-eight trillion, three hundred sixty-three billion, two hundred twenty-eight million, four hundred thirty-two thousand.
Scientific notation
- Scientific notation: 1.38363228432 × 1014
Factors of 138363228432000
Divisors of 138363228432000
- Number of divisors d(n): 4096
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 27 29 30 32 33 36 39 40 44 45 48 50 52 54 55 58 60 64 65 66 72 75 78 80 87 88 90 96 99 100 104 108 110 116 117 120 125 128 130 132 135 143 144 145 150 156 160 165 169 174 176 180 192 195 198 200 208 216 220 225 232 234 240 250 260 261 264 270 275 286 288 290 297 300 312 319 320 325 330 338 348 351 352 360 375 377 384 390 396 400 416 429 432 435 440 450 457 464 468 480 495 500 507 520 522 528 540 550 572 576 580 585 594 600 624 638 640 650 660 675 676 696 702 704 715 720 725 750 754 780 783 792 800 825 832 845 858 864 870 880 900 914 928 936 957 960 975 990 1000 1014 1040 1044 1056 1080 1100 1125 1131 1144 1152 1160 1170 1188 1200 1248 1276 1287 1300 1305 1320 1350 1352 1371 1375 1392 1404 1408 1430 1440 1450 1485 1500 1508 1521 1560 1566 1584 1595 1600 1625 1650 1664 1690 1716 1728 1740 1755 1760 1800 1828 1856 1859 1872 1885 1914 1920 1950 1980 2000 2028 2080 2088 2112 2145 2160 2175 2197 2200 2250 2262 2285 2288 2320 2340 2376 2400 2475 2496 2535 2552 2574 2600 2610 2640 2700 2704 2742 2750 2784 2808 2860 2871 2880 2900 2925 2970 3000 3016 3042 3120 3132 3168 3190 3200 3250 3300 3375 3380 3393 3432 3456 3480 3510 3520 3575 3600 3625 3656 3712 3718 3744 3770 3828 3861 3900 3915 3960 4000 4056 4113 4125 4147 4160 4176 4224 4225 4290 4320 4350 4394 4400 4500 4524 4563 4570 4576 4640 4680 4752 4785 4800 4875 4901 4950 4992 5027 5070 5104 5148 5200 5220 5280 5400 5408 5484 5500 5568 5577 5616 5655 5720 5742 5760 5800 5850 5940 5941 6000 6032 6084 6240 6264 6336 6380 6435 6500 6525 6591 6600 6750 6760 6786 6855 6864 6960 7020 7040 7150 7200 7250 7312 7425 7436 7488 7540 7605 7656 7722 7800 7830 7920 7975 8000 8112 8226 8250 8294 8320 8352 8450 8580 8613 8640 8700 8775 8788 8800 9000 9048 9126 9140 9152 9280 9295 9360 9425 9504 9570 9600 9750 9802 9900 10054 10140 10179 10208 10296 10400 10440 10560 10725 10800 10816 10875 10968 10985 11000 11136 11154 11232 11310 11425 11440 11484 11600 11700 11880 11882 12000 12064 12168 12339 12375 12441 12480 12528 12672 12675 12760 12870 13000 13050 13182 13200 13253 13500 13520 13572 13710 13728 13920 14040 14300 14355 14400 14500 14624 14625 14703 14850 14872 14976 15080 15081 15210 15312 15444 15600 15660 15840 15950 16000 16224 16452 16500 16588 16704 16731 16900 16965 17160 17226 17280 17400 17550 17576 17600 17823 17875 18000 18096 18252 18280 18304 18560 18590 18720 18850 19008 19140 19305 19500 19575 19604 19773 19800 20108 20280 20358 20416 20565 20592 20735 20800 20880 21120 21125 21450 21600 21632 21750 21936 21970 22000 22308 22464 22620 22815 22850 22880 22968 23200 23400 23760 23764 23925 24000 24128 24167 24336 24505 24678 24750 24882 24960 25056 25135 25350 25520 25740 26000 26100 26364 26400 26506 27000 27040 27144 27420 27456 27840 27885 28080 28275 28600 28710 28800 29000 29248 29250 29406 29700 29705 29744 30160 30162 30420 30624 30888 31200 31320 31680 31900 32175 32448 32625 32904 32955 33000 33176 33408 33462 33800 33930 34275 34320 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576513451800 591295848000 596393226000 614947681920 628923765600 640570502000 665207829000 691816142160 698804184000 709555017600 720641814750 768684602400 786154707000 795190968000 818717328000 838565020800 864770177700 886943772000 922421522880 954229161600 960855753000 967575024000 1024912803200 1048206276000 1064332526400 1080962722125 1106905827456 1153026903600 1182591696000 1192786452000 1257847531200 1281141004000 1330415658000 1383632284320 1397608368000 1441283629500 1537369204800 1572309414000 1590381936000 1729540355400 1773887544000 1844843045760 1921711506000 2096412552000 2128665052800 2161925444250 2306053807200 2385572904000 2515695062400 2562282008000 2660831316000 2767264568640 2882567259000 3074738409600 3144618828000 3459080710800 3547775088000 3843423012000 4192825104000 4323850888500 4612107614400 4771145808000 5124564016000 5321662632000 5534529137280 5765134518000 6289237656000 6918161421600 7686846024000 8647701777000 9224215228800 10643325264000 11530269036000 12578475312000 13836322843200 15373692048000 17295403554000 23060538072000 27672645686400 34590807108000 46121076144000 69181614216000 138363228432000
- Sum of all divisors σ(n): 624409793280000
- Sum of proper divisors (its aliquot sum) s(n): 486046564848000
- 138363228432000 is an abundant number, because the sum of its proper divisors (486046564848000) is greater than itself. Its abundance is 347683336416000
Bases of 138363228432000
- Binary: 111110111010111001100110001010010100110100000002
- Hexadecimal: 0x7DD73314A680
- Base-36: 1D1N6TRXC0
Squares and roots of 138363228432000
- 138363228432000 squared (1383632284320002) is 19144382982125813178624000000
- 138363228432000 cubed (1383632284320003) is 2648878635745567261797708531437568000000000
-
The
square root of 138363228432000 is 11762789.9935346971 -
The
cube root of 138363228432000 is 51721.7918641041
Scales and comparisons
How big is 138363228432000?- 138,363,228,432,000 seconds is equal to 4,399,522 years, 35 weeks, 2 days.
-
To count from 1 to 138,363,228,432,000 would take you about ten million, nine hundred ninety-eight thousand, eight hundred six 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 138363228432000 cubic inches would be around 4310.1 feet tall.
Recreational maths with 138363228432000
- 138363228432000 backwards is 000234822363831
- 138363228432000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138363228432000's digits is 45
- More coming soon!
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"Number 138363228432000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 May 2024.
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Numbermatics. (2024). Number 138363228432000 - Facts about the integer. Retrieved 20 May 2024, from https://numbermatics.com/n/138363228432000/
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The information we have on file for 138363228432000 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 138363228432000, math, Factors of 138363228432000, curriculum, school, college, exams, university, Prime factorization of 138363228432000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred sixty-three billion, two hundred twenty-eight million, four hundred thirty-two thousand.