146013537472
146,013,537,472 is an even composite number composed of seven prime numbers multiplied together.
146013537472 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 146013537472:
26 × 11 × 17 × 29 × 31 × 41 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 11 × 17 × 29 × 31 × 41 × 331)See below for interesting mathematical facts about the number 146013537472 from the Numbermatics database.
Names of 146013537472
- Cardinal: 146013537472 can be written as One hundred forty-six billion, thirteen million, five hundred thirty-seven thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 1.46013537472 × 1011
Factors of 146013537472
Divisors of 146013537472
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 4 8 11 16 17 22 29 31 32 34 41 44 58 62 64 68 82 88 116 124 136 164 176 187 232 248 272 319 328 331 341 352 374 451 464 493 496 527 544 638 656 662 682 697 704 748 899 902 928 986 992 1054 1088 1189 1271 1276 1312 1324 1364 1394 1496 1798 1804 1856 1972 1984 2108 2378 2542 2552 2624 2648 2728 2788 2992 3596 3608 3641 3944 4216 4756 5084 5104 5296 5423 5456 5576 5627 5797 5984 7192 7216 7282 7667 7888 8432 9512 9599 9889 10168 10208 10261 10592 10846 10912 11152 11254 11594 11968 13079 13571 13981 14384 14432 14564 15283 15334 15776 16864 19024 19198 19778 20213 20336 20416 20522 21184 21607 21692 21824 22304 22508 23188 26158 27142 27962 28768 28864 29128 30566 30668 31552 33728 36859 38048 38396 39556 40426 40672 41044 43214 43384 44608 45016 46376 52316 54284 55924 57536 58256 61132 61336 61897 73718 76096 76792 79112 80852 81344 82088 86428 86768 90032 92752 104632 105589 108568 111848 112871 116512 122264 122672 123794 147436 149281 153584 158224 161704 163183 164176 168113 172856 173536 174437 180064 185504 209264 211178 217136 222343 223696 225742 230707 233024 237677 244528 245344 247588 294872 297569 298562 307168 316448 323408 326366 328352 336226 345712 347072 348874 360128 371008 393559 405449 418528 420701 422356 434272 444686 447392 451484 461414 475354 489056 490688 495176 589744 595138 597124 614336 626603 632896 646816 652732 656704 672452 691424 697748 787118 810898 837056 841402 844712 868544 889372 894784 902968 922828 950708 978112 990352 1179488 1190276 1194248 1253206 1293632 1305464 1344904 1382848 1395496 1574236 1621796 1682804 1689424 1778744 1795013 1805936 1845656 1901416 1918807 1980704 2358976 2380552 2388496 2506412 2537777 2610928 2689808 2790992 3148472 3243592 3273259 3365608 3378848 3557488 3590026 3611872 3691312 3802832 3837614 3961408 4329149 4627711 4761104 4776992 5012824 5058673 5075554 5221856 5379616 5581984 6296944 6487184 6546518 6690503 6731216 6757696 6892633 7114976 7151917 7180052 7223744 7382624 7605664 7675228 8658298 9255422 9522208 9553984 10025648 10117346 10151108 10443712 10759232 11163968 12200329 12593888 12974368 13093036 13381006 13462432 13785266 14229952 14303834 14360104 14765248 15211328 15350456 17316596 18510844 19044416 20051296 20234692 20302216 24400658 25187776 25948736 26186072 26762012 26924864 27570532 28607668 28720208 30700912 34633192 37021688 40102592 40469384 40604432 48801316 52372144 53524024 55141064 55645403 57215336 57440416 61401824 69266384 73595533 74043376 78671087 80938768 81208864 97602632 104744288 107048048 110282128 111290806 114430672 114880832 122803648 134203619 138532768 147191066 148086752 157342174 161877536 162417728 195205264 207405593 209488576 214096096 220564256 222581612 228861344 268407238 277065536 294382132 296173504 314684348 323755072 390410528 414811186 428192192 441128512 445163224 457722688 536814476 588764264 629368696 780821056 829622372 890326448 1073628952 1177528528 1258737392 1659244744 1780652896 2147257904 2281461523 2355057056 2517474784 3318489488 3561305792 4294515808 4562923046 4710114112 5034949568 6636978976 8589031616 9125846092 13273957952 18251692184 36503384368 73006768736 146013537472
- Sum of all divisors σ(n): 367211335680
- Sum of proper divisors (its aliquot sum) s(n): 221197798208
- 146013537472 is an abundant number, because the sum of its proper divisors (221197798208) is greater than itself. Its abundance is 75184260736
Bases of 146013537472
- Binary: 100001111111110001010111000100110000002
- Hexadecimal: 0x21FF15C4C0
- Base-36: 1V2SOUKG
Squares and roots of 146013537472
- 146013537472 squared (1460135374722) is 21319953125087148150784
- 146013537472 cubed (1460135374723) is 3113001774531195809780115090178048
-
The
square root of 146013537472 is 382117.1776719807 -
The
cube root of 146013537472 is 5265.8001706741
Scales and comparisons
How big is 146013537472?- 146,013,537,472 seconds is equal to 4,642 years, 40 weeks, 3 days, 11 hours, 57 minutes, 52 seconds.
-
To count from 1 to 146,013,537,472 would take you about nine thousand, two 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 146013537472 cubic inches would be around 438.8 feet tall.
Recreational maths with 146013537472
- 146013537472 backwards is 274735310641
- The number of decimal digits it has is: 12
- The sum of 146013537472's digits is 43
- More coming soon!
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