138607357824000000
138,607,357,824,000,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138607357824000000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 7056 divisors.
138607357824000000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven thousand and fifty-six divisors.
Prime factorization of 138607357824000000:
213 × 32 × 56 × 13 × 19 × 41 × 1092
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 13 × 19 × 41 × 109 × 109)See below for interesting mathematical facts about the number 138607357824000000 from the Numbermatics database.
Names of 138607357824000000
- Cardinal: 138607357824000000 can be written as One hundred thirty-eight quadrillion, six hundred seven trillion, three hundred fifty-seven billion, eight hundred twenty-four million.
Scientific notation
- Scientific notation: 1.38607357824 × 1017
Factors of 138607357824000000
Divisors of 138607357824000000
- Number of divisors d(n): 7056
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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 96 100 104 109 114 117 120 123 125 128 130 144 150 152 156 160 164 171 180 190 192 195 200 205 208 218 225 228 234 240 246 247 250 256 260 285 288 300 304 312 320 325 327 328 342 360 369 375 380 384 390 400 410 416 436 450 456 468 475 480 492 494 500 512 520 533 545 570 576 585 600 608 615 624 625 640 650 654 656 684 720 738 741 750 760 768 779 780 800 820 832 855 872 900 912 936 950 960 975 981 984 988 1000 1024 1025 1040 1066 1090 1125 1140 1152 1170 1200 1216 1230 1235 1248 1250 1280 1300 1308 1312 1368 1417 1425 1440 1476 1482 1500 1520 1536 1558 1560 1599 1600 1625 1635 1640 1664 1710 1744 1800 1824 1845 1872 1875 1900 1920 1950 1962 1968 1976 2000 2048 2050 2071 2080 2132 2180 2223 2250 2280 2304 2337 2340 2375 2400 2432 2460 2470 2496 2500 2560 2600 2616 2624 2665 2725 2736 2834 2850 2880 2925 2952 2964 3000 3040 3072 3075 3116 3120 3125 3198 3200 3250 3270 3280 3328 3420 3488 3600 3648 3690 3705 3744 3750 3800 3840 3895 3900 3924 3936 3952 4000 4096 4100 4142 4160 4251 4264 4275 4360 4446 4469 4500 4560 4608 4674 4680 4750 4797 4800 4864 4875 4905 4920 4940 4992 5000 5120 5125 5200 5232 5248 5330 5450 5472 5625 5668 5700 5760 5850 5904 5928 6000 6080 6144 6150 6175 6213 6232 6240 6250 6396 6400 6500 6540 6560 6656 6840 6976 7011 7085 7125 7200 7296 7380 7410 7488 7500 7600 7680 7790 7800 7848 7872 7904 7995 8000 8125 8175 8192 8200 8284 8320 8502 8528 8550 8720 8892 8938 9000 9120 9216 9225 9348 9360 9375 9500 9594 9600 9728 9750 9810 9840 9880 9984 10000 10127 10240 10250 10355 10400 10464 10496 10660 10900 10944 11115 11250 11336 11400 11520 11685 11700 11808 11856 11875 11881 12000 12160 12288 12300 12350 12426 12464 12480 12500 12753 12792 12800 13000 13080 13120 13312 13325 13407 13625 13680 13952 14022 14170 14250 14400 14592 14625 14760 14820 14976 15000 15200 15360 15375 15580 15600 15625 15696 15744 15808 15990 16000 16250 16350 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10662104448000000 11550613152000000 13860735782400000 15400817536000000 17325919728000000 23101226304000000 27721471564800000 34651839456000000 46202452608000000 69303678912000000 138607357824000000
- Sum of all divisors σ(n): 586575592959741840
- Sum of proper divisors (its aliquot sum) s(n): 447968235135741840
- 138607357824000000 is an abundant number, because the sum of its proper divisors (447968235135741840) is greater than itself. Its abundance is 309360877311741840
Bases of 138607357824000000
- Binary: 1111011000110111010101000010101100101101011100000000000002
- Hexadecimal: 0x1EC6EA8565AE000
- Base-36: 11WS7H4WHDS0
Squares and roots of 138607357824000000
- 138607357824000000 squared (1386073578240000002) is 19211999642950374014976000000000000
- 138607357824000000 cubed (1386073578240000003) is 2662924509024982730168409966772224000000000000000000
-
The
square root of 138607357824000000 is 372300091.0878212503 -
The
cube root of 138607357824000000 is 517521.9346412285
Scales and comparisons
How big is 138607357824000000?- 138,607,357,824,000,000 seconds is equal to 4,407,285,238 years, 4 weeks, 6 days, 16 hours.
-
To count from 1 to 138,607,357,824,000,000 would take you about thirteen billion, two hundred twenty-one million, eight hundred fifty-five thousand, seven hundred fourteen 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 138607357824000000 cubic inches would be around 43126.8 feet tall.
Recreational maths with 138607357824000000
- 138607357824000000 backwards is 000000428753706831
- The number of decimal digits it has is: 18
- The sum of 138607357824000000's digits is 54
- More coming soon!
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"Number 138607357824000000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 138607357824000000 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/138607357824000000/
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The information we have on file for 138607357824000000 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 138607357824000000, math, Factors of 138607357824000000, curriculum, school, college, exams, university, Prime factorization of 138607357824000000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, six hundred seven trillion, three hundred fifty-seven billion, eight hundred twenty-four million.