138224307200
138,224,307,200 is an even composite number composed of five prime numbers multiplied together.
138224307200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred twenty-eight divisors.
Prime factorization of 138224307200:
210 × 52 × 7 × 173 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 17 × 17 × 17 × 157)See below for interesting mathematical facts about the number 138224307200 from the Numbermatics database.
Names of 138224307200
- Cardinal: 138224307200 can be written as One hundred thirty-eight billion, two hundred twenty-four million, three hundred seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.382243072 × 1011
Factors of 138224307200
Divisors of 138224307200
- Number of divisors d(n): 528
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 50 56 64 68 70 80 85 100 112 119 128 136 140 157 160 170 175 200 224 238 256 272 280 289 314 320 340 350 400 425 448 476 512 544 560 578 595 628 640 680 700 785 800 850 896 952 1024 1088 1099 1120 1156 1190 1256 1280 1360 1400 1445 1570 1600 1700 1792 1904 2023 2176 2198 2240 2312 2380 2512 2560 2669 2720 2800 2890 2975 3140 3200 3400 3584 3808 3925 4046 4352 4396 4480 4624 4760 4913 5024 5120 5338 5440 5495 5600 5780 5950 6280 6400 6800 7168 7225 7616 7850 8092 8704 8792 8960 9248 9520 9826 10048 10115 10676 10880 10990 11200 11560 11900 12560 12800 13345 13600 14450 15232 15700 16184 17408 17584 17920 18496 18683 19040 19652 20096 20230 21352 21760 21980 22400 23120 23800 24565 25120 25600 26690 27200 27475 28900 30464 31400 32368 34391 35168 35840 36992 37366 38080 39304 40192 40460 42704 43520 43960 44800 45373 46240 47600 49130 50240 50575 53380 54400 54950 57800 60928 62800 64736 66725 68782 70336 73984 74732 76160 78608 80384 80920 85408 87040 87920 89600 90746 92480 93415 95200 98260 100480 101150 106760 108800 109900 115600 121856 122825 125600 129472 133450 137564 140672 147968 149464 152320 157216 160768 161840 170816 171955 175840 179200 181492 184960 186830 190400 196520 200960 202300 213520 217600 219800 226865 231200 245650 251200 258944 266900 275128 281344 295936 298928 304640 314432 317611 323680 341632 343910 351680 362984 369920 373660 380800 393040 401920 404600 427040 435200 439600 453730 462400 467075 491300 502400 517888 533800 550256 562688 597856 609280 628864 635222 647360 683264 687820 703360 725968 739840 747320 761600 771341 786080 803840 809200 854080 859775 879200 907460 924800 934150 982600 1004800 1035776 1067600 1100512 1125376 1134325 1195712 1257728 1270444 1294720 1366528 1375640 1406720 1451936 1479680 1494640 1523200 1542682 1572160 1588055 1618400 1708160 1719550 1758400 1814920 1849600 1868300 1965200 2009600 2071552 2135200 2201024 2268650 2391424 2515456 2540888 2589440 2733056 2751280 2813440 2903872 2989280 3046400 3085364 3144320 3176110 3236800 3416320 3439100 3516800 3629840 3699200 3736600 3856705 3930400 4019200 4270400 4402048 4537300 4782848 5030912 5081776 5178880 5399387 5502560 5626880 5807744 5978560 6170728 6288640 6352220 6473600 6832640 6878200 7033600 7259680 7398400 7473200 7713410 7860800 7940275 8540800 8804096 9074600 9565696 10163552 10357760 10798774 11005120 11615488 11957120 12341456 12577280 12704440 12947200 13665280 13756400 14067200 14519360 14946400 15426820 15721600 15880550 17081600 17608192 18149200 19131392 19283525 20327104 21597548 22010240 23230976 23914240 24682912 25154560 25408880 25894400 26996935 27512800 28134400 29038720 29892800 30853640 31443200 31761100 34163200 35216384 36298400 38567050 40654208 43195096 44020480 46461952 47828480 49365824 50817760 51788800 53993870 55025600 58077440 59785600 61707280 62886400 63522200 68326400 72596800 77134100 81308416 86390192 88040960 95656960 98731648 101635520 107987740 110051200 116154880 119571200 123414560 125772800 127044400 134984675 145193600 154268200 162616832 172780384 176081920 197463296 203271040 215975480 220102400 232309760 239142400 246829120 254088800 269969350 290387200 308536400 325233664 345560768 394926592 406542080 431950960 440204800 478284800 493658240 508177600 539938700 580774400 617072800 691121536 789853184 813084160 863901920 880409600 987316480 1016355200 1079877400 1161548800 1234145600 1382243072 1626168320 1727803840 1974632960 2032710400 2159754800 2468291200 2764486144 3455607680 3949265920 4065420800 4319509600 4936582400 5528972288 6911215360 8130841600 8639019200 9873164800 13822430720 17278038400 19746329600 27644861440 34556076800 69112153600 138224307200
- Sum of all divisors σ(n): 418694362560
- Sum of proper divisors (its aliquot sum) s(n): 280470055360
- 138224307200 is an abundant number, because the sum of its proper divisors (280470055360) is greater than itself. Its abundance is 142245748160
Bases of 138224307200
- Binary: 100000001011101100111110001100000000002
- Hexadecimal: 0x202ECF8C00
- Base-36: 1RHZ6M0W
Squares and roots of 138224307200
- 138224307200 squared (1382243072002) is 19105959100919971840000
- 138224307200 cubed (1382243072003) is 2640907960116197990227509248000000
-
The
square root of 138224307200 is 371785.2971810477 -
The
cube root of 138224307200 is 5170.4475940851
Scales and comparisons
How big is 138224307200?- 138,224,307,200 seconds is equal to 4,395 years, 5 weeks, 3 days, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 138,224,307,200 would take you about eight thousand, seven hundred ninety 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 138224307200 cubic inches would be around 430.9 feet tall.
Recreational maths with 138224307200
- 138224307200 backwards is 002703422831
- 138224307200 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138224307200's digits is 32
- More coming soon!
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