146006073048320
146,006,073,048,320 is an even composite number composed of five prime numbers multiplied together.
146006073048320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 146006073048320:
28 × 5 × 29 × 61 × 4013
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 29 × 61 × 401 × 401 × 401)See below for interesting mathematical facts about the number 146006073048320 from the Numbermatics database.
Names of 146006073048320
- Cardinal: 146006073048320 can be written as One hundred forty-six trillion, six billion, seventy-three million, forty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.4600607304832 × 1014
Factors of 146006073048320
Divisors of 146006073048320
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 4 5 8 10 16 20 29 32 40 58 61 64 80 116 122 128 145 160 232 244 256 290 305 320 401 464 488 580 610 640 802 928 976 1160 1220 1280 1604 1769 1856 1952 2005 2320 2440 3208 3538 3712 3904 4010 4640 4880 6416 7076 7424 7808 8020 8845 9280 9760 11629 12832 14152 15616 16040 17690 18560 19520 23258 24461 25664 28304 32080 35380 37120 39040 46516 48922 51328 56608 58145 64160 70760 78080 93032 97844 102656 113216 116290 122305 128320 141520 160801 186064 195688 226432 232580 244610 256640 283040 321602 372128 391376 452864 465160 489220 513280 566080 643204 709369 744256 782752 804005 930320 978440 1132160 1286408 1418738 1488512 1565504 1608010 1860640 1956880 2264320 2572816 2837476 2977024 3131008 3216020 3546845 3721280 3913760 4663229 5145632 5674952 6262016 6432040 7093690 7442560 7827520 9326458 9808861 10291264 11349904 12864080 14187380 14885120 15655040 18652916 19617722 20582528 22699808 23316145 25728160 28374760 31310080 37305832 39235444 41165056 45399616 46632290 49044305 51456320 56749520 64481201 74611664 78470888 90799232 93264580 98088610 102912640 113499040 128962402 149223328 156941776 181598464 186529160 196177220 205825280 226998080 257924804 284456969 298446656 313883552 322406005 373058320 392354440 453996160 515849608 568913938 596893312 627767104 644812010 746116640 784708880 907992320 1031699216 1137827876 1193786624 1255534208 1289624020 1422284845 1492233280 1569417760 1869954829 2063398432 2275655752 2511068416 2579248040 2844569690 2984466560 3138835520 3739909658 3933353261 4126796864 4551311504 5158496080 5689139380 5968933120 6277671040 7479819316 7866706522 8253593728 9102623008 9349774145 10316992160 11378278760 12555342080 14959638632 15733413044 16507187456 18205246016 18699548290 19666766305 20633984320 22756557520 29919277264 31466826088 36410492032 37399096580 39333532610 41267968640 45513115040 59838554528 62933652176 72820984064 74798193160 78667065220 82535937280 91026230080 114067244569 119677109056 125867304352 149596386320 157334130440 182052460160 228134489138 239354218112 251734608704 299192772640 314668260880 364104920320 456268978276 478708436224 503469217408 570336222845 598385545280 629336521760 912537956552 1006938434816 1140672445690 1196771090560 1258673043520 1825075913104 2281344891380 2393542181120 2517346087040 3650151826208 4562689782760 5034692174080 7300303652416 9125379565520 14600607304832 18250759131040 29201214609664 36501518262080 73003036524160 146006073048320
- Sum of all divisors σ(n): 368640115835040
- Sum of proper divisors (its aliquot sum) s(n): 222634042786720
- 146006073048320 is an abundant number, because the sum of its proper divisors (222634042786720) is greater than itself. Its abundance is 76627969738400
Bases of 146006073048320
- Binary: 1000010011001010101100000001111001111101000000002
- Hexadecimal: 0x84CAB01E7D00
- Base-36: 1FR69I4LQ8
Squares and roots of 146006073048320
- 146006073048320 squared (1460060730483202) is 21317773366991355897054822400
- 146006073048320 cubed (1460060730483203) is 3112524375448470508567389201282124218368000
-
The
square root of 146006073048320 is 12083297.2755088667 -
The
cube root of 146006073048320 is 52657.1043736585
Scales and comparisons
How big is 146006073048320?- 146,006,073,048,320 seconds is equal to 4,642,541 years, 25 weeks, 5 days, 17 hours, 25 minutes, 20 seconds.
-
To count from 1 to 146,006,073,048,320 would take you about eleven million, six hundred six thousand, three hundred fifty-three 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 146006073048320 cubic inches would be around 4388.1 feet tall.
Recreational maths with 146006073048320
- 146006073048320 backwards is 023840370600641
- The number of decimal digits it has is: 15
- The sum of 146006073048320's digits is 44
- More coming soon!
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