13539530138400
13,539,530,138,400 is an even composite number composed of seven prime numbers multiplied together.
13539530138400 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 13539530138400:
25 × 33 × 52 × 73 × 292 × 41 × 53
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 29 × 29 × 41 × 53)See below for interesting mathematical facts about the number 13539530138400 from the Numbermatics database.
Names of 13539530138400
- Cardinal: 13539530138400 can be written as Thirteen trillion, five hundred thirty-nine billion, five hundred thirty million, one hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.35395301384 × 1013
Factors of 13539530138400
Divisors of 13539530138400
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 29 30 32 35 36 40 41 42 45 48 49 50 53 54 56 58 60 63 70 72 75 80 82 84 87 90 96 98 100 105 106 108 112 116 120 123 126 135 140 144 145 147 150 159 160 164 168 174 175 180 189 196 200 203 205 210 212 216 224 225 232 240 245 246 252 261 265 270 280 287 288 290 294 300 315 318 328 336 343 348 350 360 369 371 378 392 400 406 410 420 424 432 435 441 450 464 477 480 490 492 504 522 525 530 540 560 574 580 588 600 609 615 630 636 656 672 675 686 696 700 720 725 735 738 742 756 783 784 795 800 812 820 840 841 848 861 864 870 882 900 928 945 954 980 984 1008 1015 1025 1029 1044 1050 1060 1080 1107 1113 1120 1148 1160 1176 1189 1200 1218 1225 1230 1260 1272 1305 1312 1323 1325 1350 1372 1392 1400 1421 1431 1435 1440 1450 1470 1476 1484 1512 1537 1566 1568 1575 1590 1624 1640 1680 1682 1696 1715 1722 1740 1764 1800 1827 1845 1855 1890 1908 1960 1968 2009 2016 2030 2050 2058 2088 2100 2120 2160 2173 2175 2205 2214 2226 2296 2320 2352 2378 2385 2400 2436 2450 2460 2520 2523 2544 2583 2597 2610 2646 2650 2700 2744 2784 2800 2842 2862 2870 2900 2940 2952 2968 3024 3045 3074 3075 3087 3132 3150 3180 3248 3280 3339 3360 3364 3430 3444 3480 3528 3567 3600 3654 3675 3690 3710 3780 3816 3915 3920 3936 3975 4018 4060 4100 4116 4176 4200 4205 4240 4263 4305 4320 4346 4350 4410 4428 4452 4592 4611 4640 4704 4725 4756 4770 4872 4900 4920 5040 5046 5075 5088 5145 5166 5194 5220 5292 5300 5400 5481 5488 5535 5565 5600 5684 5724 5740 5800 5880 5887 5904 5936 5945 6027 6048 6090 6148 6150 6174 6264 6300 6360 6496 6519 6525 6560 6615 6678 6728 6860 6888 6960 7056 7105 7134 7155 7175 7200 7308 7350 7380 7420 7560 7569 7632 7685 7749 7791 7830 7840 7950 8036 8120 8200 8232 8323 8352 8400 8410 8480 8526 8575 8610 8692 8700 8820 8856 8904 9135 9184 9222 9225 9261 9275 9450 9512 9540 9744 9800 9840 9947 10017 10045 10080 10092 10150 10290 10332 10388 10440 10584 10600 10701 10759 10800 10865 10962 10976 11025 11070 11130 11368 11448 11480 11600 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77368743648 77813391600 80592441300 82558110600 84622063365 85154277600 90263534256 92105647200 93376069920 94024514850 96710929560 100292815840 107456588400 110077480800 112829417820 116720087400 120888661950 125366019800 127731416400 128947906080 135395301384 138158470800 141036772275 150439223760 155626783200 161184882600 165116221200 169244126730 180527068512 188049029700 193421859120 214913176800 225658835640 233440174800 241777323900 250732039600 255462832800 270790602768 276316941600 282073544550 300878447520 322369765200 330232442400 338488253460 376098059400 386843718240 423110316825 451317671280 466880349600 483554647800 501464079200 541581205536 564147089100 644739530400 676976506920 752196118800 846220633650 902635342560 967109295600 1128294178200 1353953013840 1504392237600 1692441267300 1934218591200 2256588356400 2707906027680 3384882534600 4513176712800 6769765069200 13539530138400
- Sum of all divisors σ(n): 61728174144000
- Sum of proper divisors (its aliquot sum) s(n): 48188644005600
- 13539530138400 is an abundant number, because the sum of its proper divisors (48188644005600) is greater than itself. Its abundance is 34649113867200
Bases of 13539530138400
- Binary: 110001010000011010101110001001100011001000002
- Hexadecimal: 0xC506AE26320
- Base-36: 4SRZ2NWO0
Squares and roots of 13539530138400
- 13539530138400 squared (135395301384002) is 183318876368641923154560000
- 13539530138400 cubed (135395301384003) is 2482051451530850867228901921391104000000
-
The
square root of 13539530138400 is 3679610.0524919757 -
The
cube root of 13539530138400 is 23834.2339407189
Scales and comparisons
How big is 13539530138400?- 13,539,530,138,400 seconds is equal to 430,515 years, 9 weeks, 1 day, 18 hours.
-
To count from 1 to 13,539,530,138,400 would take you about one million, seventy-six thousand, two hundred eighty-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 13539530138400 cubic inches would be around 1986.2 feet tall.
Recreational maths with 13539530138400
- 13539530138400 backwards is 00483103593531
- 13539530138400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13539530138400's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 13539530138400 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 13539530138400 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/13539530138400/
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Numbermatics. 2024. "Number 13539530138400 - Facts about the integer". https://numbermatics.com/n/13539530138400/
The information we have on file for 13539530138400 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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