13322788151296000
13,322,788,151,296,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13322788151296000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3264 divisors.
13322788151296000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, two hundred sixty-four divisors.
Prime factorization of 13322788151296000:
216 × 53 × 132 × 193 × 23 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 19 × 19 × 19 × 23 × 61)See below for interesting mathematical facts about the number 13322788151296000 from the Numbermatics database.
Names of 13322788151296000
- Cardinal: 13322788151296000 can be written as Thirteen quadrillion, three hundred twenty-two trillion, seven hundred eighty-eight billion, one hundred fifty-one million, two hundred ninety-six thousand.
Scientific notation
- Scientific notation: 1.3322788151296 × 1016
Factors of 13322788151296000
Divisors of 13322788151296000
- Number of divisors d(n): 3264
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Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 23 25 26 32 38 40 46 50 52 61 64 65 76 80 92 95 100 104 115 122 125 128 130 152 160 169 184 190 200 208 230 244 247 250 256 260 299 304 305 320 325 338 361 368 380 400 416 437 460 475 488 494 500 512 520 575 598 608 610 640 650 676 722 736 760 793 800 832 845 874 920 950 976 988 1000 1024 1040 1150 1159 1196 1216 1220 1235 1280 1300 1352 1403 1444 1472 1495 1520 1525 1586 1600 1625 1664 1690 1748 1805 1840 1900 1952 1976 2000 2048 2080 2185 2300 2318 2375 2392 2432 2440 2470 2560 2600 2704 2806 2875 2888 2944 2990 3040 3050 3172 3200 3211 3250 3328 3380 3496 3610 3680 3800 3887 3904 3952 3965 4000 4096 4160 4225 4370 4600 4636 4693 4750 4784 4864 4880 4940 5120 5200 5408 5612 5681 5750 5776 5795 5888 5980 6080 6100 6175 6344 6400 6422 6500 6656 6760 6859 6992 7015 7220 7360 7475 7600 7625 7774 7808 7904 7930 8000 8192 8303 8320 8450 8740 9025 9200 9272 9386 9500 9568 9728 9760 9880 10240 10309 10400 10816 10925 11224 11362 11500 11552 11590 11776 11960 12160 12200 12350 12688 12800 12844 13000 13312 13520 13718 13984 14030 14440 14720 14950 15067 15200 15250 15548 15616 15808 15860 16000 16055 16384 16606 16640 16900 17480 18050 18239 18400 18544 18772 19000 19136 19435 19456 19520 19760 19825 20480 20618 20800 21125 21632 21850 22021 22448 22724 23000 23104 23180 23465 23552 23920 24320 24400 24700 25376 25600 25688 26000 26624 26657 27040 27436 27968 28060 28405 28880 28975 29440 29900 30134 30400 30500 30875 31096 31232 31616 31720 32000 32110 32768 33212 33280 33800 34295 34960 35075 36100 36478 36800 37088 37375 37544 38000 38272 38870 38912 39040 39520 39650 40960 41236 41515 41600 42250 43264 43700 44042 44896 45125 45448 46000 46208 46360 46930 47104 47840 48640 48800 49400 50752 51200 51376 51545 52000 53248 53314 54080 54625 54872 55936 56120 56810 57760 57950 58880 59800 60268 60800 61000 61009 61750 62192 62464 63232 63440 64000 64220 65536 66424 66560 67600 68590 69920 70150 72200 72956 73600 73853 74176 74750 75088 75335 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333069703782400 350599688192000 416337129728000 512414928896000 532911526051840 579251658752000 666139407564800 701199376384000 832674259456000 1024829857792000 1332278815129600 1665348518912000 2664557630259200 3330697037824000 6661394075648000 13322788151296000
- Sum of all divisors σ(n): 40311021021672960
- Sum of proper divisors (its aliquot sum) s(n): 26988232870376960
- 13322788151296000 is an abundant number, because the sum of its proper divisors (26988232870376960) is greater than itself. Its abundance is 13665444719080960
Bases of 13322788151296000
- Binary: 1011110101010100000001010101110010110100000000000000002
- Hexadecimal: 0x2F5501572D0000
- Base-36: 3N6J8DT32F4
Squares and roots of 13322788151296000
- 13322788151296000 squared (133227881512960002) is 177496684124313089386479616000000
- 13322788151296000 cubed (133227881512960003) is 2364750720145727256793191162106227982336000000000
-
The
square root of 13322788151296000 is 115424382.8283088545 -
The
cube root of 13322788151296000 is 237063.6903327199
Scales and comparisons
How big is 13322788151296000?- 13,322,788,151,296,000 seconds is equal to 423,623,453 years, 6 weeks, 2 days, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 13,322,788,151,296,000 would take you about one billion, two hundred seventy million, eight hundred seventy thousand, three hundred fifty-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 13322788151296000 cubic inches would be around 19755.3 feet tall.
Recreational maths with 13322788151296000
- 13322788151296000 backwards is 00069215188722331
- The number of decimal digits it has is: 17
- The sum of 13322788151296000's digits is 58
- More coming soon!
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"Number 13322788151296000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 13322788151296000 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/13322788151296000/
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The information we have on file for 13322788151296000 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 13322788151296000, math, Factors of 13322788151296000, curriculum, school, college, exams, university, Prime factorization of 13322788151296000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, three hundred twenty-two trillion, seven hundred eighty-eight billion, one hundred fifty-one million, two hundred ninety-six thousand.