13898233148800
13,898,233,148,800 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13898233148800 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3456 divisors.
13898233148800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 13898233148800:
27 × 52 × 72 × 11 × 13 × 17 × 192 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 11 × 13 × 17 × 19 × 19 × 101)See below for interesting mathematical facts about the number 13898233148800 from the Numbermatics database.
Names of 13898233148800
- Cardinal: 13898233148800 can be written as Thirteen trillion, eight hundred ninety-eight billion, two hundred thirty-three million, one hundred forty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.38982331488 × 1013
Factors of 13898233148800
Divisors of 13898233148800
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 17 19 20 22 25 26 28 32 34 35 38 40 44 49 50 52 55 56 64 65 68 70 76 77 80 85 88 91 95 98 100 101 104 110 112 119 128 130 133 136 140 143 152 154 160 170 175 176 182 187 190 196 200 202 208 209 220 221 224 238 245 247 260 266 272 275 280 286 304 308 320 323 325 340 350 352 361 364 374 380 385 392 400 404 416 418 425 440 442 448 455 475 476 490 494 505 520 532 539 544 550 560 572 595 608 616 637 640 646 650 665 680 700 704 707 715 722 728 748 760 770 784 800 808 832 833 836 850 880 884 896 910 931 935 950 952 980 988 1001 1010 1040 1045 1064 1078 1088 1100 1105 1111 1120 1144 1190 1216 1225 1232 1235 1274 1292 1300 1309 1313 1330 1360 1400 1408 1414 1430 1444 1456 1463 1496 1520 1540 1547 1568 1600 1615 1616 1664 1666 1672 1700 1717 1729 1760 1768 1805 1820 1862 1870 1900 1904 1919 1925 1960 1976 2002 2020 2080 2090 2128 2156 2176 2200 2210 2222 2240 2261 2275 2288 2380 2431 2432 2450 2464 2470 2525 2527 2548 2584 2600 2618 2626 2660 2695 2717 2720 2800 2828 2860 2888 2912 2926 2975 2992 3040 3080 3094 3136 3185 3200 3230 3232 3325 3332 3344 3400 3434 3458 3520 3535 3536 3553 3575 3610 3640 3724 3740 3800 3808 3838 3850 3920 3952 3971 4004 4040 4160 4165 4180 4199 4256 4312 4400 4420 4444 4480 4522 4550 4576 4655 4675 4693 4760 4862 4900 4928 4940 4949 5005 5050 5054 5096 5168 5200 5225 5236 5252 5320 5390 5434 5440 5525 5555 5600 5656 5720 5776 5824 5852 5950 5984 6080 6137 6160 6175 6188 6272 6370 6460 6464 6545 6565 6650 6664 6688 6800 6868 6916 7007 7040 7070 7072 7106 7150 7220 7280 7315 7448 7480 7600 7616 7676 7700 7735 7777 7840 7904 7942 8008 8075 8080 8320 8330 8360 8398 8512 8585 8624 8645 8800 8840 8888 9025 9044 9100 9152 9163 9191 9310 9350 9386 9520 9595 9724 9800 9856 9880 9898 10010 10100 10108 10192 10241 10336 10400 10450 10472 10504 10640 10780 10829 10868 10880 11050 11110 11200 11305 11312 11440 11552 11648 11704 11900 11968 12019 12103 12155 12160 12274 12320 12350 12376 12635 12740 12920 12928 13090 13130 13300 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56268150400 56727482240 58395937600 62045683700 62887932800 63173787040 66498723200 66818428600 68803134400 69491165744 70909352800 73148595520 74322102400 76363918400 78967233800 79418475136 81754312640 86863957180 90248267200 91435744400 97190441600 99273093920 102192890800 104497993600 106909485760 108579946475 116791875200 124091367400 126347574080 133636857200 137606268800 138982331488 141818705600 146297191040 152727836800 157934467600 163508625280 173727914360 180496534400 182871488800 198546187840 204385781600 213818971520 217159892950 248182734800 252695148160 267273714400 277964662976 283637411200 315868935200 347455828720 365742977600 397092375680 408771563200 434319785900 496365469600 534547428800 555929325952 631737870400 694911657440 731485955200 817543126400 868639571800 992730939200 1069094857600 1263475740800 1389823314880 1737279143600 1985461878400 2779646629760 3474558287200 6949116574400 13898233148800
- Sum of all divisors σ(n): 52952158032480
- Sum of proper divisors (its aliquot sum) s(n): 39053924883680
- 13898233148800 is an abundant number, because the sum of its proper divisors (39053924883680) is greater than itself. Its abundance is 25155691734880
Bases of 13898233148800
- Binary: 110010100011111011110011111111110101100000002
- Hexadecimal: 0xCA3EF3FF580
- Base-36: 4XCRD6AV4
Squares and roots of 13898233148800
- 13898233148800 squared (138982331488002) is 193160884658403162941440000
- 13898233148800 cubed (138982331488003) is 2684595010210952203667489121206272000000
-
The
square root of 13898233148800 is 3728033.4157300683 -
The
cube root of 13898233148800 is 24042.8823319143
Scales and comparisons
How big is 13898233148800?- 13,898,233,148,800 seconds is equal to 441,920 years, 42 weeks, 5 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 13,898,233,148,800 would take you about one million, one hundred four thousand, eight hundred 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 13898233148800 cubic inches would be around 2003.6 feet tall.
Recreational maths with 13898233148800
- 13898233148800 backwards is 00884133289831
- The number of decimal digits it has is: 14
- The sum of 13898233148800's digits is 58
- More coming soon!
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Cite this page
MLA style:
"Number 13898233148800 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 13898233148800 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/13898233148800/
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Numbermatics. 2024. "Number 13898233148800 - Facts about the integer". https://numbermatics.com/n/13898233148800/
The information we have on file for 13898233148800 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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