13989456644256000
13,989,456,644,256,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13989456644256000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3456 divisors.
13989456644256000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 13989456644256000:
28 × 32 × 53 × 17 × 31 × 41 × 1313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 17 × 31 × 41 × 131 × 131 × 131)See below for interesting mathematical facts about the number 13989456644256000 from the Numbermatics database.
Names of 13989456644256000
- Cardinal: 13989456644256000 can be written as Thirteen quadrillion, nine hundred eighty-nine trillion, four hundred fifty-six billion, six hundred forty-four million, two hundred fifty-six thousand.
Scientific notation
- Scientific notation: 1.3989456644256 × 1016
Factors of 13989456644256000
Divisors of 13989456644256000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 31 32 34 36 40 41 45 48 50 51 60 62 64 68 72 75 80 82 85 90 93 96 100 102 120 123 124 125 128 131 136 144 150 153 155 160 164 170 180 186 192 200 204 205 225 240 246 248 250 255 256 262 272 279 288 300 306 310 320 328 340 360 369 372 375 384 393 400 408 410 425 450 465 480 492 496 500 510 524 527 544 558 576 600 612 615 620 640 655 656 680 697 720 738 744 750 765 768 775 786 800 816 820 850 900 930 960 984 992 1000 1020 1025 1048 1054 1088 1116 1125 1152 1179 1200 1224 1230 1240 1271 1275 1280 1310 1312 1360 1394 1395 1440 1476 1488 1500 1530 1550 1572 1581 1600 1632 1640 1700 1800 1845 1860 1920 1965 1968 1984 2000 2040 2050 2091 2096 2108 2125 2176 2227 2232 2250 2304 2325 2358 2400 2448 2460 2480 2542 2550 2620 2624 2635 2720 2788 2790 2880 2952 2976 3000 3060 3075 3100 3144 3162 3200 3264 3275 3280 3400 3485 3600 3690 3720 3813 3825 3840 3875 3930 3936 3968 4000 4061 4080 4100 4182 4192 4216 4250 4352 4454 4464 4500 4650 4716 4743 4800 4896 4920 4960 5084 5100 5125 5240 5248 5270 5371 5440 5576 5580 5760 5895 5904 5952 6000 6120 6150 6200 6273 6288 6324 6355 6375 6400 6528 6550 6560 6681 6800 6970 6975 7200 7380 7440 7626 7650 7750 7860 7872 7905 7936 8000 8122 8160 8200 8364 8384 8432 8500 8908 8928 9000 9225 9300 9432 9486 9600 9792 9825 9840 9920 10168 10200 10250 10455 10480 10496 10540 10742 10880 11135 11152 11160 11439 11520 11625 11790 11808 11904 12000 12183 12240 12300 12400 12546 12576 12648 12710 12750 13056 13100 13120 13175 13362 13600 13940 13950 14400 14760 14880 15252 15300 15375 15500 15720 15744 15810 16000 16113 16244 16320 16375 16400 16728 16768 16864 17000 17161 17425 17816 17856 18000 18450 18600 18864 18972 19065 19125 19200 19584 19650 19680 19840 20043 20305 20336 20400 20500 20910 20960 21080 21484 21607 21760 22270 22304 22320 22878 23250 23580 23616 23715 23808 24000 24366 24480 24600 24800 25092 25152 25296 25420 25500 26200 26240 26350 26724 26855 27200 27880 27900 28800 29475 29520 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46631522147520 48574502237000 50141421664000 51431825898000 53394872688000 54646315016625 54860614291200 55957826577024 56409099372000 56867709936000 58289402684400 62175362863360 68241251923200 68575767864000 69947283221280 72861753355500 75212132496000 77719203579200 82290921436800 85301564904000 87434104026600 90254558995200 91434357152000 93263044295040 97149004474000 102863651796000 106789745376000 109292630033250 111915653154048 112818198744000 113735419872000 116578805368800 137151535728000 139894566442560 145723506711000 150424264992000 155438407158400 164581842873600 170603129808000 174868208053200 186526088590080 194298008948000 205727303592000 218585260066500 225636397488000 233157610737600 274303071456000 279789132885120 291447013422000 310876814316800 341206259616000 349736416106400 388596017896000 411454607184000 437170520133000 451272794976000 466315221475200 559578265770240 582894026844000 699472832212800 777192035792000 822909214368000 874341040266000 932630442950400 1165788053688000 1398945664425600 1554384071584000 1748682080532000 2331576107376000 2797891328851200 3497364161064000 4663152214752000 6994728322128000 13989456644256000
- Sum of all divisors σ(n): 56793999522484224
- Sum of proper divisors (its aliquot sum) s(n): 42804542878228224
- 13989456644256000 is an abundant number, because the sum of its proper divisors (42804542878228224) is greater than itself. Its abundance is 28815086233972224
Bases of 13989456644256000
- Binary: 1100011011001101010110001100011110000110110001000000002
- Hexadecimal: 0x31B35631E1B100
- Base-36: 3TQUJNSX8G0
Squares and roots of 13989456644256000
- 13989456644256000 squared (139894566442560002) is 195704897201518344537793536000000
- 13989456644256000 cubed (139894566442560003) is 2737805174469218265565705587497128329216000000000
-
The
square root of 13989456644256000 is 118277033.4606680941 -
The
cube root of 13989456644256000 is 240953.7088724441
Scales and comparisons
How big is 13989456644256000?- 13,989,456,644,256,000 seconds is equal to 444,821,449 years, 2 weeks, 6 days, 16 hours.
-
To count from 1 to 13,989,456,644,256,000 would take you about one billion, three hundred thirty-four million, four hundred sixty-four thousand, three hundred forty-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 13989456644256000 cubic inches would be around 20079.5 feet tall.
Recreational maths with 13989456644256000
- 13989456644256000 backwards is 00065244665498931
- 13989456644256000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13989456644256000's digits is 72
- More coming soon!
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"Number 13989456644256000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 13989456644256000 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/13989456644256000/
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The information we have on file for 13989456644256000 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 13989456644256000, math, Factors of 13989456644256000, curriculum, school, college, exams, university, Prime factorization of 13989456644256000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, nine hundred eighty-nine trillion, four hundred fifty-six billion, six hundred forty-four million, two hundred fifty-six thousand.