5438001214800
5,438,001,214,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 5438001214800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2400 divisors.
5438001214800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 5438001214800:
24 × 33 × 52 × 7 × 114 × 173
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 11 × 11 × 11 × 11 × 17 × 17 × 17)See below for interesting mathematical facts about the number 5438001214800 from the Numbermatics database.
Names of 5438001214800
- Cardinal: 5438001214800 can be written as Five trillion, four hundred thirty-eight billion, one million, two hundred fourteen thousand, eight hundred.
Scientific notation
- Scientific notation: 5.4380012148 × 1012
Factors of 5438001214800
Divisors of 5438001214800
- Number of divisors d(n): 2400
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 20 21 22 24 25 27 28 30 33 34 35 36 40 42 44 45 48 50 51 54 55 56 60 63 66 68 70 72 75 77 80 84 85 88 90 99 100 102 105 108 110 112 119 120 121 126 132 135 136 140 144 150 153 154 165 168 170 175 176 180 187 189 198 200 204 210 216 220 225 231 238 240 242 252 255 264 270 272 275 280 289 297 300 306 308 315 330 336 340 350 357 360 363 374 378 385 396 400 408 420 425 432 440 450 459 462 476 484 495 504 510 525 528 540 550 560 561 578 594 595 600 605 612 616 630 660 675 680 693 700 714 720 726 748 756 765 770 792 816 825 840 847 850 867 880 900 918 924 935 945 952 968 990 1008 1020 1050 1071 1080 1089 1100 1122 1155 1156 1188 1190 1200 1210 1224 1232 1260 1275 1309 1320 1331 1350 1360 1386 1400 1428 1445 1452 1485 1496 1512 1530 1540 1575 1584 1650 1680 1683 1694 1700 1734 1785 1800 1815 1836 1848 1870 1890 1904 1925 1936 1980 2023 2040 2057 2079 2100 2142 2160 2178 2200 2244 2295 2310 2312 2376 2380 2420 2448 2475 2520 2541 2550 2601 2618 2640 2662 2700 2772 2800 2805 2856 2890 2904 2970 2975 2992 3024 3025 3060 3080 3150 3179 3213 3267 3300 3366 3388 3400 3465 3468 3570 3600 3630 3672 3696 3740 3780 3825 3850 3927 3960 3993 4046 4080 4114 4158 4200 4235 4284 4335 4356 4400 4488 4590 4620 4624 4675 4725 4752 4760 4840 4913 4950 5040 5049 5082 5100 5202 5236 5324 5355 5400 5445 5544 5610 5712 5775 5780 5808 5940 5950 6050 6069 6120 6160 6171 6300 6358 6426 6534 6545 6600 6655 6732 6776 6800 6930 6936 7140 7225 7260 7344 7425 7480 7560 7623 7650 7700 7803 7854 7920 7986 8092 8228 8316 8400 8415 8470 8568 8670 8712 8925 8976 9075 9180 9240 9317 9350 9450 9520 9537 9680 9826 9900 10098 10115 10164 10200 10285 10395 10404 10472 10648 10710 10800 10890 11088 11220 11475 11550 11560 11781 11880 11900 11979 12100 12138 12240 12342 12600 12705 12716 12852 13005 13068 13090 13200 13310 13464 13552 13860 13872 14025 14280 14399 14450 14520 14641 14739 14850 14960 15120 15246 15300 15400 15606 15708 15895 15972 16065 16184 16335 16456 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32369054850 32957583120 35311696200 35542491600 36253341432 37763897325 38842865820 39985303050 40281490480 41196978900 43158739800 44942158800 45316676790 45697489200 48553582275 49436374680 50351863100 51790487760 53313737400 54380012148 54929305200 60422235720 61795468350 63976484880 64738109700 67975015185 70623392400 72506682864 75527794650 77685731640 79970606100 82393957800 86317479600 90633353580 97107164550 98872749360 100703726200 106627474800 108760024296 113291691975 120844471440 123590936700 129476219400 135950030370 151055589300 155371463280 159941212200 164787915600 181266707160 194214329100 201407452400 217520048592 226583383950 247181873400 258952438800 271900060740 302111178600 319882424400 339875075925 362533414320 388428658200 453166767900 494363746800 543800121480 604222357200 679750151850 776857316400 906333535800 1087600242960 1359500303700 1812667071600 2719000607400 5438001214800
- Sum of all divisors σ(n): 25852622112000
- Sum of proper divisors (its aliquot sum) s(n): 20414620897200
- 5438001214800 is an abundant number, because the sum of its proper divisors (20414620897200) is greater than itself. Its abundance is 14976619682400
Bases of 5438001214800
- Binary: 10011110010001000100010000101110101010100002
- Hexadecimal: 0x4F222217550
- Base-36: 1XE6LINO0
Squares and roots of 5438001214800
- 5438001214800 squared (54380012148002) is 29571857212166275739040000
- 5438001214800 cubed (54380012148003) is 160811795443652348808491287785792000000
-
The
square root of 5438001214800 is 2331952.2325296461 -
The
cube root of 5438001214800 is 17585.1644252403
Scales and comparisons
How big is 5438001214800?- 5,438,001,214,800 seconds is equal to 172,911 years, 32 weeks, 21 hours.
-
To count from 1 to 5,438,001,214,800 would take you about four hundred thirty-two thousand, two hundred seventy-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 5438001214800 cubic inches would be around 1465.4 feet tall.
Recreational maths with 5438001214800
- 5438001214800 backwards is 0084121008345
- 5438001214800 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 5438001214800's digits is 36
- More coming soon!
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MLA style:
"Number 5438001214800 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
APA style:
Numbermatics. (2024). Number 5438001214800 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/5438001214800/
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Numbermatics. 2024. "Number 5438001214800 - Facts about the integer". https://numbermatics.com/n/5438001214800/
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