146138205993120
146,138,205,993,120 is an even composite number composed of six prime numbers multiplied together.
146138205993120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 146138205993120:
25 × 32 × 5 × 11 × 359 × 25698877
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 359 × 25698877)See below for interesting mathematical facts about the number 146138205993120 from the Numbermatics database.
Names of 146138205993120
- Cardinal: 146138205993120 can be written as One hundred forty-six trillion, one hundred thirty-eight billion, two hundred five million, nine hundred ninety-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.4613820599312 × 1014
Factors of 146138205993120
Divisors of 146138205993120
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 359 360 396 440 480 495 528 660 718 720 792 880 990 1056 1077 1320 1436 1440 1584 1760 1795 1980 2154 2640 2872 3168 3231 3590 3949 3960 4308 5280 5385 5744 6462 7180 7898 7920 8616 10770 11488 11847 12924 14360 15796 15840 16155 17232 19745 21540 23694 25848 28720 31592 32310 34464 35541 39490 43080 47388 51696 57440 59235 63184 64620 71082 78980 86160 94776 103392 118470 126368 129240 142164 157960 172320 177705 189552 236940 258480 284328 315920 355410 379104 473880 516960 568656 631840 710820 947760 1137312 1421640 1895520 2843280 5686560 25698877 51397754 77096631 102795508 128494385 154193262 205591016 231289893 256988770 282687647 308386524 385483155 411182032 462579786 513977540 565375294 616773048 770966310 822364064 848062941 925159572 1027955080 1130750588 1156449465 1233546096 1413438235 1541932620 1696125882 1850319144 2055910160 2261501176 2312898930 2467092192 2544188823 2826876470 3083865240 3392251764 3700638288 4111820320 4240314705 4523002352 4625797860 5088377646 5653752940 6167730480 6784503528 7401276576 8480629410 9046004704 9225896843 9251595720 10176755292 11307505880 12335460960 12720944115 13569007056 16961258820 18451793686 18503191440 20353510584 22615011760 25441888230 27138014112 27677690529 33922517640 36903587372 37006382880 40707021168 45230023520 46129484215 50883776460 55355381058 67845035280 73807174744 81414042336 83033071587 92258968430 101484865273 101767552920 110710762116 135690070560 138388452645 147614349488 166066143174 184517936860 202969730546 203535105840 221421524232 276776905290 295228698976 304454595819 332132286348 369035873720 405939461092 407070211680 415165357935 442843048464 507424326365 553553810580 608909191638 664264572696 738071747440 811878922184 830330715870 885686096928 913363787457 1014848652730 1107107621160 1217818383276 1328529145392 1476143494880 1522272979095 1623757844368 1660661431740 1826727574914 2029697305460 2214215242320 2435636766552 2657058290784 3044545958190 3247515688736 3321322863480 3653455149828 4059394610920 4428430484640 4566818937285 4871273533104 6089091916380 6642645726960 7306910299656 8118789221840 9133637874570 9742547066208 12178183832760 13285291453920 14613820599312 16237578443680 18267275749140 24356367665520 29227641198624 36534551498280 48712735331040 73069102996560 146138205993120
- Sum of all divisors σ(n): 545548117645440
- Sum of proper divisors (its aliquot sum) s(n): 399409911652320
- 146138205993120 is an abundant number, because the sum of its proper divisors (399409911652320) is greater than itself. Its abundance is 253271705659200
Bases of 146138205993120
- Binary: 1000010011101001011100111101101100111000101000002
- Hexadecimal: 0x84E973DB38A0
- Base-36: 1FSUYQO6G0
Squares and roots of 146138205993120
- 146138205993120 squared (1461382059931202) is 21356375250887574285487334400
- 146138205993120 cubed (1461382059931203) is 3120982365680578152046744373853933539328000
-
The
square root of 146138205993120 is 12088763.6254961987 -
The
cube root of 146138205993120 is 52672.9841707513
Scales and comparisons
How big is 146138205993120?- 146,138,205,993,120 seconds is equal to 4,646,742 years, 47 weeks, 4 days, 5 hours, 12 minutes.
-
To count from 1 to 146,138,205,993,120 would take you about eleven million, six hundred sixteen thousand, eight hundred fifty-seven 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 146138205993120 cubic inches would be around 4389.4 feet tall.
Recreational maths with 146138205993120
- 146138205993120 backwards is 021399502831641
- The number of decimal digits it has is: 15
- The sum of 146138205993120's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 146138205993120 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.
APA style:
Numbermatics. (2024). Number 146138205993120 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/146138205993120/
Chicago style:
Numbermatics. 2024. "Number 146138205993120 - Facts about the integer". https://numbermatics.com/n/146138205993120/
The information we have on file for 146138205993120 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 146138205993120, math, Factors of 146138205993120, curriculum, school, college, exams, university, Prime factorization of 146138205993120, STEM, science, technology, engineering, physics, economics, calculator, one hundred forty-six trillion, one hundred thirty-eight billion, two hundred five million, nine hundred ninety-three thousand, one hundred twenty.