48138433200
48,138,433,200 is an even composite number composed of six prime numbers multiplied together.
48138433200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred forty divisors.
Prime factorization of 48138433200:
24 × 32 × 52 × 11 × 132 × 7193
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 13 × 13 × 7193)See below for interesting mathematical facts about the number 48138433200 from the Numbermatics database.
Names of 48138433200
- Cardinal: 48138433200 can be written as Forty-eight billion, one hundred thirty-eight million, four hundred thirty-three thousand, two hundred.
Scientific notation
- Scientific notation: 4.81384332 × 1010
Factors of 48138433200
Divisors of 48138433200
- Number of divisors d(n): 540
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 30 33 36 39 40 44 45 48 50 52 55 60 65 66 72 75 78 80 88 90 99 100 104 110 117 120 130 132 143 144 150 156 165 169 176 180 195 198 200 208 220 225 234 240 260 264 275 286 300 312 325 330 338 360 390 396 400 429 440 450 468 495 507 520 528 550 572 585 600 624 650 660 676 715 720 780 792 825 845 858 880 900 936 975 990 1014 1040 1100 1144 1170 1200 1287 1300 1320 1352 1430 1521 1560 1584 1650 1690 1716 1800 1859 1872 1950 1980 2028 2145 2200 2288 2340 2475 2535 2574 2600 2640 2704 2860 2925 3042 3120 3300 3380 3432 3575 3600 3718 3900 3960 4056 4225 4290 4400 4680 4950 5070 5148 5200 5577 5720 5850 6084 6435 6600 6760 6864 7150 7193 7436 7605 7800 7920 8112 8450 8580 9295 9360 9900 10140 10296 10725 11154 11440 11700 12168 12675 12870 13200 13520 14300 14386 14872 15210 15600 16731 16900 17160 18590 19800 20280 20592 21450 21579 22308 23400 24336 25350 25740 27885 28600 28772 29744 30420 32175 33462 33800 34320 35965 37180 38025 39600 40560 42900 43158 44616 46475 46800 50700 51480 55770 57200 57544 60840 64350 64737 66924 67600 71930 74360 76050 79123 83655 85800 86316 89232 92950 93509 101400 102960 107895 111540 115088 121680 128700 129474 133848 139425 143860 148720 152100 158246 167310 171600 172632 179825 185900 187018 202800 215790 223080 237369 257400 258948 267696 278850 280527 287720 304200 316492 323685 334620 345264 359650 371800 374036 395615 418275 431580 446160 467545 474738 514800 517896 539475 557700 561054 575440 608400 632984 647370 669240 712107 719300 743600 748072 791230 836550 841581 863160 935090 949476 1028599 1035792 1078950 1115400 1122108 1186845 1215617 1265968 1294740 1338480 1402635 1424214 1438600 1496144 1582460 1618425 1673100 1683162 1726320 1870180 1898952 1978075 2057198 2157900 2230800 2244216 2337725 2373690 2431234 2589480 2805270 2848428 2877200 3085797 3164920 3236850 3346200 3366324 3560535 3646851 3740360 3797904 3956150 4114396 4207905 4315800 4488432 4675450 4747380 4862468 5142995 5178960 5610540 5696856 5934225 6078085 6171594 6329840 6473700 6692400 6732648 7013175 7121070 7293702 7480720 7912300 8228792 8415810 8631600 9257391 9350900 9494760 9724936 10285990 10940553 11221080 11393712 11868450 12156170 12343188 12947400 13371787 13465296 14026350 14242140 14587404 15428985 15824600 16457584 16831620 17802675 18234255 18514782 18701800 18989520 19449872 20571980 21039525 21881106 22442160 23736900 24312340 24686376 25714975 25894800 26743574 28052700 28484280 29174808 30390425 30857970 31649200 33663240 35605350 36468510 37029564 37403600 40115361 41143960 42079050 43762212 46286955 47473800 48624680 49372752 51429950 53487148 54702765 56105400 56968560 58349616 60780850 61715940 66858935 67326480 71210700 72937020 74059128 77144925 80230722 82287920 84158100 87524424 91171275 92573910 94947600 97249360 102859900 106974296 109405530 112210800 120346083 121561700 123431880 133717870 142421400 145874040 148118256 154289850 160461444 168316200 175048848 182342550 185147820 200576805 205719800 213948592 218811060 231434775 240692166 243123400 246863760 267435740 273513825 284842800 291748080 308579700 320922888 334294675 336632400 364685100 370295640 401153610 411439600 437622120 462869550 481384332 486246800 534871480 547027650 601730415 617159400 641845776 668589350 729370200 740591280 802307220 875244240 925739100 962768664 1002884025 1069742960 1094055300 1203460830 1234318800 1337178700 1458740400 1604614440 1851478200 1925537328 2005768050 2188110600 2406921660 2674357400 3008652075 3209228880 3702956400 4011536100 4376221200 4813843320 5348714800 6017304150 8023072200 9627686640 12034608300 16046144400 24069216600 48138433200
- Sum of all divisors σ(n): 197364713832
- Sum of proper divisors (its aliquot sum) s(n): 149226280632
- 48138433200 is an abundant number, because the sum of its proper divisors (149226280632) is greater than itself. Its abundance is 101087847432
Bases of 48138433200
- Binary: 1011001101010100011000110010101100002
- Hexadecimal: 0xB354632B0
- Base-36: M44DOS0
Squares and roots of 48138433200
- 48138433200 squared (481384332002) is 2317308750950862240000
- 48138433200 cubed (481384332003) is 111551612511423518422642368000000
-
The
square root of 48138433200 is 219404.7246528663 -
The
cube root of 48138433200 is 3637.7315798289
Scales and comparisons
How big is 48138433200?- 48,138,433,200 seconds is equal to 1,530 years, 33 weeks, 6 days, 19 hours.
-
To count from 1 to 48,138,433,200 would take you about three thousand and sixty-one 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 48138433200 cubic inches would be around 303.1 feet tall.
Recreational maths with 48138433200
- 48138433200 backwards is 00233483184
- 48138433200 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 48138433200's digits is 36
- More coming soon!
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