13997217627120000
13,997,217,627,120,000 is an even composite number composed of nine prime numbers multiplied together.
What does the number 13997217627120000 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 5120 divisors.
13997217627120000 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of five thousand, one hundred twenty divisors.
Prime factorization of 13997217627120000:
27 × 3 × 54 × 7 × 13 × 23 × 131 × 347 × 613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 7 × 13 × 23 × 131 × 347 × 613)See below for interesting mathematical facts about the number 13997217627120000 from the Numbermatics database.
Names of 13997217627120000
- Cardinal: 13997217627120000 can be written as Thirteen quadrillion, nine hundred ninety-seven trillion, two hundred seventeen billion, six hundred twenty-seven million, one hundred twenty thousand.
Scientific notation
- Scientific notation: 1.399721762712 × 1016
Factors of 13997217627120000
Divisors of 13997217627120000
- Number of divisors d(n): 5120
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 23 24 25 26 28 30 32 35 39 40 42 46 48 50 52 56 60 64 65 69 70 75 78 80 84 91 92 96 100 104 105 112 115 120 125 128 130 131 138 140 150 156 160 161 168 175 182 184 192 195 200 208 210 224 230 240 250 260 262 273 276 280 299 300 312 320 322 325 336 345 347 350 364 368 375 384 390 393 400 416 420 448 455 460 480 483 500 520 524 525 546 552 560 575 598 600 613 624 625 640 644 650 655 672 690 694 700 728 736 750 780 786 800 805 832 840 875 896 897 910 917 920 960 966 975 1000 1040 1041 1048 1050 1092 1104 1120 1150 1196 1200 1226 1248 1250 1288 1300 1310 1344 1365 1380 1388 1400 1456 1472 1495 1500 1560 1572 1600 1610 1625 1664 1680 1703 1725 1735 1750 1794 1820 1834 1839 1840 1875 1920 1932 1950 1965 2000 2080 2082 2093 2096 2100 2184 2208 2240 2275 2300 2392 2400 2415 2429 2452 2496 2500 2576 2600 2620 2625 2688 2730 2751 2760 2776 2800 2875 2912 2944 2990 3000 3013 3065 3120 3144 3200 3220 3250 3275 3360 3406 3450 3470 3500 3588 3640 3668 3678 3680 3750 3864 3900 3930 4000 4025 4160 4164 4186 4192 4200 4291 4368 4375 4416 4480 4485 4511 4550 4585 4600 4784 4800 4830 4858 4875 4904 4992 5000 5109 5152 5200 5205 5240 5250 5460 5502 5520 5552 5600 5750 5824 5980 6000 6026 6130 6240 6279 6288 6440 6500 6550 6720 6812 6825 6900 6940 7000 7176 7280 7287 7336 7356 7360 7475 7500 7728 7800 7860 7969 7981 8000 8050 8125 8320 8328 8372 8384 8400 8515 8582 8625 8675 8736 8750 8832 8970 9022 9039 9100 9170 9195 9200 9568 9600 9660 9716 9750 9808 9825 10000 10218 10304 10400 10410 10465 10480 10500 10920 11004 11040 11104 11200 11375 11500 11648 11921 11960 12000 12052 12075 12145 12260 12480 12558 12576 12873 12880 13000 13100 13125 13440 13533 13624 13650 13755 13800 13880 14000 14099 14352 14375 14560 14574 14672 14712 14720 14950 15000 15065 15325 15456 15600 15720 15938 15962 16000 16100 16250 16375 16656 16744 16768 16800 17030 17164 17250 17350 17472 17500 17940 18044 18078 18200 18340 18390 18400 19136 19320 19432 19500 19616 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2332869604520000 2799443525424000 3499304406780000 4665739209040000 6998608813560000 13997217627120000
- Sum of all divisors σ(n): 60395143335690240
- Sum of proper divisors (its aliquot sum) s(n): 46397925708570240
- 13997217627120000 is an abundant number, because the sum of its proper divisors (46397925708570240) is greater than itself. Its abundance is 32400708081450240
Bases of 13997217627120000
- Binary: 1100011011101001100101001100001000001000100001100000002
- Hexadecimal: 0x31BA6530822180
- Base-36: 3TTLL09QK5C
Squares and roots of 13997217627120000
- 13997217627120000 squared (139972176271200002) is 195922101300958843359494400000000
- 13997217627120000 cubed (139972176271200003) is 2742364289872171406429161974690928128000000000000
-
The
square root of 13997217627120000 is 118309837.4063627897 -
The
cube root of 13997217627120000 is 240998.2588966459
Scales and comparisons
How big is 13997217627120000?- 13,997,217,627,120,000 seconds is equal to 445,068,224 years, 15 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 13,997,217,627,120,000 would take you about one billion, three hundred thirty-five million, two hundred four thousand, six hundred seventy-two 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 13997217627120000 cubic inches would be around 20083.2 feet tall.
Recreational maths with 13997217627120000
- 13997217627120000 backwards is 00002172671279931
- The number of decimal digits it has is: 17
- The sum of 13997217627120000's digits is 57
- More coming soon!
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Cite this page
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"Number 13997217627120000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 13997217627120000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/13997217627120000/
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The information we have on file for 13997217627120000 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!
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