138146742272
138,146,742,272 is an even composite number composed of five prime numbers multiplied together.
138146742272 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 138146742272:
220 × 7 × 11 × 29 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 29 × 59)See below for interesting mathematical facts about the number 138146742272 from the Numbermatics database.
Names of 138146742272
- Cardinal: 138146742272 can be written as One hundred thirty-eight billion, one hundred forty-six million, seven hundred forty-two thousand, two hundred seventy-two.
Scientific notation
- Scientific notation: 1.38146742272 × 1011
Factors of 138146742272
Divisors of 138146742272
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 59 64 77 88 112 116 118 128 154 176 203 224 232 236 256 308 319 352 406 413 448 464 472 512 616 638 649 704 812 826 896 928 944 1024 1232 1276 1298 1408 1624 1652 1711 1792 1856 1888 2048 2233 2464 2552 2596 2816 3248 3304 3422 3584 3712 3776 4096 4466 4543 4928 5104 5192 5632 6496 6608 6844 7168 7424 7552 8192 8932 9086 9856 10208 10384 11264 11977 12992 13216 13688 14336 14848 15104 16384 17864 18172 18821 19712 20416 20768 22528 23954 25984 26432 27376 28672 29696 30208 32768 35728 36344 37642 39424 40832 41536 45056 47908 51968 52864 54752 57344 59392 60416 65536 71456 72688 75284 78848 81664 83072 90112 95816 103936 105728 109504 114688 118784 120832 131072 131747 142912 145376 150568 157696 163328 166144 180224 191632 207872 211456 219008 229376 237568 241664 262144 263494 285824 290752 301136 315392 326656 332288 360448 383264 415744 422912 438016 458752 475136 483328 524288 526988 571648 581504 602272 630784 653312 664576 720896 766528 831488 845824 876032 917504 950272 966656 1048576 1053976 1143296 1163008 1204544 1261568 1306624 1329152 1441792 1533056 1662976 1691648 1752064 1835008 1900544 1933312 2107952 2286592 2326016 2409088 2523136 2613248 2658304 2883584 3066112 3325952 3383296 3504128 3670016 3801088 3866624 4215904 4573184 4652032 4818176 5046272 5226496 5316608 5767168 6132224 6651904 6766592 7008256 7340032 7602176 7733248 8431808 9146368 9304064 9636352 10092544 10452992 10633216 11534336 12264448 13303808 13533184 14016512 15204352 15466496 16863616 18292736 18608128 19272704 20185088 20905984 21266432 24528896 26607616 27066368 28033024 30408704 30932992 33727232 36585472 37216256 38545408 40370176 41811968 42532864 49057792 53215232 54132736 56066048 61865984 67454464 73170944 74432512 77090816 80740352 83623936 85065728 98115584 106430464 108265472 112132096 134908928 146341888 148865024 154181632 167247872 170131456 196231168 212860928 216530944 224264192 269817856 292683776 297730048 308363264 334495744 340262912 392462336 433061888 448528384 539635712 585367552 595460096 616726528 680525824 784924672 897056768 1079271424 1170735104 1190920192 1233453056 1569849344 1794113536 2158542848 2341470208 2381840384 2466906112 3139698688 4317085696 4763680768 4933812224 6279397376 8634171392 9867624448 12558794752 17268342784 19735248896 34536685568 69073371136 138146742272
- Sum of all divisors σ(n): 362387692800
- Sum of proper divisors (its aliquot sum) s(n): 224240950528
- 138146742272 is an abundant number, because the sum of its proper divisors (224240950528) is greater than itself. Its abundance is 86094208256
Bases of 138146742272
- Binary: 100000001010100011000000000000000000002
- Hexadecimal: 0x202A300000
- Base-36: 1RGP04JK
Squares and roots of 138146742272
- 138146742272 squared (1381467422722) is 19084522400366391721984
- 138146742272 cubed (1381467422723) is 2636464597427626715587517924507648
-
The
square root of 138146742272 is 371680.9684016657 -
The
cube root of 138146742272 is 5169.4802764385
Scales and comparisons
How big is 138146742272?- 138,146,742,272 seconds is equal to 4,392 years, 33 weeks, 1 day, 15 hours, 4 minutes, 32 seconds.
-
To count from 1 to 138,146,742,272 would take you about eight thousand, seven hundred eighty-five 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 138146742272 cubic inches would be around 430.8 feet tall.
Recreational maths with 138146742272
- 138146742272 backwards is 272247641831
- The number of decimal digits it has is: 12
- The sum of 138146742272's digits is 47
- More coming soon!
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