2148003200
2,148,003,200 is an even composite number composed of five prime numbers multiplied together.
2148003200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 2148003200:
27 × 52 × 73 × 19 × 103
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 19 × 103)See below for interesting mathematical facts about the number 2148003200 from the Numbermatics database.
Names of 2148003200
- Cardinal: 2148003200 can be written as Two billion, one hundred forty-eight million, three thousand, two hundred.
Scientific notation
- Scientific notation: 2.1480032 × 109
Factors of 2148003200
Divisors of 2148003200
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 49 50 56 64 70 76 80 95 98 100 103 112 128 133 140 152 160 175 190 196 200 206 224 245 266 280 304 320 343 350 380 392 400 412 448 475 490 515 532 560 608 640 665 686 700 721 760 784 800 824 896 931 950 980 1030 1064 1120 1216 1225 1330 1372 1400 1442 1520 1568 1600 1648 1715 1862 1900 1957 1960 2060 2128 2240 2432 2450 2575 2660 2744 2800 2884 3040 3136 3200 3296 3325 3430 3605 3724 3800 3914 3920 4120 4256 4480 4655 4900 5047 5150 5320 5488 5600 5768 6080 6272 6517 6592 6650 6860 7210 7448 7600 7828 7840 8240 8512 8575 9310 9785 9800 10094 10300 10640 10976 11200 11536 12160 13034 13184 13300 13699 13720 14420 14896 15200 15656 15680 16480 17024 17150 18025 18620 19570 19600 20188 20600 21280 21952 22400 23072 23275 25235 26068 26600 27398 27440 28840 29792 30400 31312 31360 32585 32960 34300 35329 36050 37240 39140 39200 40376 41200 42560 43904 46144 46550 48925 50470 52136 53200 54796 54880 57680 59584 60800 62624 65170 65920 68495 68600 70658 72100 74480 78280 78400 80752 82400 85120 92288 93100 95893 97850 100940 104272 106400 109592 109760 115360 119168 125248 126175 130340 136990 137200 141316 144200 148960 156560 156800 161504 162925 164800 176645 186200 191786 195700 201880 208544 212800 219184 219520 230720 250496 252350 260680 273980 274400 282632 288400 297920 313120 323008 325850 329600 342475 353290 372400 383572 391400 403760 417088 425600 438368 461440 479465 504700 521360 547960 548800 565264 576800 595840 626240 646016 651700 671251 684950 706580 744800 767144 782800 807520 834176 876736 883225 958930 1009400 1042720 1095920 1097600 1130528 1153600 1252480 1303400 1342502 1369900 1413160 1489600 1534288 1565600 1615040 1753472 1766450 1917860 2018800 2085440 2191840 2261056 2307200 2397325 2606800 2685004 2739800 2826320 2979200 3068576 3131200 3230080 3356255 3532900 3835720 4037600 4170880 4383680 4522112 4794650 5213600 5370008 5479600 5652640 6137152 6262400 6712510 7065800 7671440 8075200 8767360 9589300 10427200 10740016 10959200 11305280 12274304 13425020 14131600 15342880 16150400 16781275 19178600 20854400 21480032 21918400 22610560 26850040 28263200 30685760 33562550 38357200 42960064 43836800 53700080 56526400 61371520 67125100 76714400 85920128 107400160 113052800 134250200 153428800 214800320 268500400 306857600 429600640 537000800 1074001600 2148003200
- Sum of all divisors σ(n): 6576960000
- Sum of proper divisors (its aliquot sum) s(n): 4428956800
- 2148003200 is an abundant number, because the sum of its proper divisors (4428956800) is greater than itself. Its abundance is 2280953600
Bases of 2148003200
- Binary: 100000000000011111101101100000002
- Hexadecimal: 0x8007ED80
- Base-36: ZIV5VK
Squares and roots of 2148003200
- 2148003200 squared (21480032002) is 4613917747210240000
- 2148003200 cubed (21480032003) is 9910710085544386592768000000
-
The
square root of 2148003200 is 46346.5554275613 -
The
cube root of 2148003200 is 1290.2631916967
Scales and comparisons
How big is 2148003200?- 2,148,003,200 seconds is equal to 68 years, 15 weeks, 4 days, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 2,148,003,200 would take you about one hundred thirty-six 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 2148003200 cubic inches would be around 107.5 feet tall.
Recreational maths with 2148003200
- 2148003200 backwards is 0023008412
- 2148003200 is a
Harshad number . - The number of decimal digits it has is: 10
- The sum of 2148003200's digits is 20
- More coming soon!
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