138138372403200000
138,138,372,403,200,000 is an even composite number composed of six prime numbers multiplied together.
138138372403200000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six thousand, nine hundred twelve divisors.
Prime factorization of 138138372403200000:
215 × 32 × 55 × 13 × 193 × 412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 13 × 19 × 19 × 19 × 41 × 41)See below for interesting mathematical facts about the number 138138372403200000 from the Numbermatics database.
Names of 138138372403200000
- Cardinal: 138138372403200000 can be written as One hundred thirty-eight quadrillion, one hundred thirty-eight trillion, three hundred seventy-two billion, four hundred three million, two hundred thousand.
Scientific notation
- Scientific notation: 1.381383724032 × 1017
Factors of 138138372403200000
Divisors of 138138372403200000
- Number of divisors d(n): 6912
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 25 26 30 32 36 38 39 40 41 45 48 50 52 57 60 64 65 72 75 76 78 80 82 90 95 96 100 104 114 117 120 123 125 128 130 144 150 152 156 160 164 171 180 190 192 195 200 205 208 225 228 234 240 246 247 250 256 260 285 288 300 304 312 320 325 328 342 360 361 369 375 380 384 390 400 410 416 450 456 468 475 480 492 494 500 512 520 533 570 576 585 600 608 615 624 625 640 650 656 684 720 722 738 741 750 760 768 779 780 800 820 832 855 900 912 936 950 960 975 984 988 1000 1024 1025 1040 1066 1083 1125 1140 1152 1170 1200 1216 1230 1235 1248 1250 1280 1300 1312 1368 1425 1440 1444 1476 1482 1500 1520 1536 1558 1560 1599 1600 1625 1640 1664 1681 1710 1800 1805 1824 1845 1872 1875 1900 1920 1950 1968 1976 2000 2048 2050 2080 2132 2166 2223 2250 2280 2304 2337 2340 2375 2400 2432 2460 2470 2496 2500 2560 2600 2624 2665 2736 2850 2880 2888 2925 2952 2964 3000 3040 3072 3075 3116 3120 3125 3198 3200 3249 3250 3280 3328 3362 3420 3600 3610 3648 3690 3705 3744 3750 3800 3840 3895 3900 3936 3952 4000 4096 4100 4160 4264 4275 4332 4446 4500 4560 4608 4674 4680 4693 4750 4797 4800 4864 4875 4920 4940 4992 5000 5043 5120 5125 5200 5248 5330 5415 5472 5625 5700 5760 5776 5850 5904 5928 6000 6080 6144 6150 6175 6232 6240 6250 6396 6400 6498 6500 6560 6656 6724 6840 6859 7011 7125 7200 7220 7296 7380 7410 7488 7500 7600 7680 7790 7800 7872 7904 7995 8000 8125 8192 8200 8320 8405 8528 8550 8664 8892 9000 9025 9120 9216 9225 9348 9360 9375 9386 9500 9594 9600 9728 9750 9840 9880 9984 10000 10086 10127 10240 10250 10400 10496 10660 10830 10944 11115 11250 11400 11520 11552 11685 11700 11808 11856 11875 12000 12160 12288 12300 12350 12464 12480 12500 12792 12800 12996 13000 13120 13312 13325 13448 13680 13718 14022 14079 14250 14400 14440 14592 14625 14760 14801 14820 14976 15000 15129 15200 15360 15375 15580 15600 15744 15808 15990 16000 16245 16250 16384 16400 16640 16810 17056 17100 17328 17784 18000 18050 18240 18432 18450 18525 18696 18720 18750 18772 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1454088130560000 1534870804480000 1684614297600000 1726729655040000 1771004774400000 1817610163200000 1841844965376000 1918588505600000 2125205729280000 2158412068800000 2302306206720000 2423480217600000 2656507161600000 2762767448064000 2877882758400000 3069741608960000 3369228595200000 3453459310080000 3542009548800000 3635220326400000 3837177011200000 4316824137600000 4604612413440000 5313014323200000 5525534896128000 5755765516800000 6906918620160000 7270440652800000 7674354022400000 8633648275200000 9209224826880000 10626028646400000 11511531033600000 13813837240320000 15348708044800000 17267296550400000 23023062067200000 27627674480640000 34534593100800000 46046124134400000 69069186201600000 138138372403200000
- Sum of all divisors σ(n): 581166770182034400
- Sum of proper divisors (its aliquot sum) s(n): 443028397778834400
- 138138372403200000 is an abundant number, because the sum of its proper divisors (443028397778834400) is greater than itself. Its abundance is 304890025375634400
Bases of 138138372403200000
- Binary: 1111010101100010000011110001010001111000110000000000000002
- Hexadecimal: 0x1EAC41E28F18000
- Base-36: 11S5YS7HS740
Squares and roots of 138138372403200000
- 138138372403200000 squared (1381383724032000002) is 19082209930205167343370240000000000
- 138138372403200000 cubed (1381383724032000003) is 2635985421614722486659453419696160768000000000000000
-
The
square root of 138138372403200000 is 371669708.7511975329 -
The
cube root of 138138372403200000 is 516937.5873577215
Scales and comparisons
How big is 138138372403200000?- 138,138,372,403,200,000 seconds is equal to 4,392,372,952 years, 19 weeks, 5 days, 16 hours.
-
To count from 1 to 138,138,372,403,200,000 would take you about thirteen billion, one hundred seventy-seven million, one hundred eighteen thousand, eight hundred fifty-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 138138372403200000 cubic inches would be around 43078.1 feet tall.
Recreational maths with 138138372403200000
- 138138372403200000 backwards is 000002304273831831
- 138138372403200000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138138372403200000's digits is 45
- More coming soon!
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Numbermatics. (2024). Number 138138372403200000 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/138138372403200000/
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The information we have on file for 138138372403200000 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 138138372403200000, math, Factors of 138138372403200000, curriculum, school, college, exams, university, Prime factorization of 138138372403200000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred thirty-eight trillion, three hundred seventy-two billion, four hundred three million, two hundred thousand.