42438919680
42,438,919,680 is an even composite number composed of five prime numbers multiplied together.
What does the number 42438919680 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 480 divisors.
42438919680 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 42438919680:
29 × 35 × 5 × 17 × 4013
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 17 × 4013)See below for interesting mathematical facts about the number 42438919680 from the Numbermatics database.
Names of 42438919680
- Cardinal: 42438919680 can be written as Forty-two billion, four hundred thirty-eight million, nine hundred nineteen thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.243891968 × 1010
Factors of 42438919680
Divisors of 42438919680
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 64 68 72 80 81 85 90 96 102 108 120 128 135 136 144 153 160 162 170 180 192 204 216 240 243 255 256 270 272 288 306 320 324 340 360 384 405 408 432 459 480 486 510 512 540 544 576 612 640 648 680 720 765 768 810 816 864 918 960 972 1020 1080 1088 1152 1215 1224 1280 1296 1360 1377 1440 1530 1536 1620 1632 1728 1836 1920 1944 2040 2160 2176 2295 2304 2430 2448 2560 2592 2720 2754 2880 3060 3240 3264 3456 3672 3840 3888 4013 4080 4131 4320 4352 4590 4608 4860 4896 5184 5440 5508 5760 6120 6480 6528 6885 6912 7344 7680 7776 8026 8160 8262 8640 8704 9180 9720 9792 10368 10880 11016 11520 12039 12240 12960 13056 13770 13824 14688 15552 16052 16320 16524 17280 18360 19440 19584 20065 20655 20736 21760 22032 23040 24078 24480 25920 26112 27540 29376 31104 32104 32640 33048 34560 36117 36720 38880 39168 40130 41310 41472 43520 44064 48156 48960 51840 55080 58752 60195 62208 64208 65280 66096 68221 69120 72234 73440 77760 78336 80260 82620 88128 96312 97920 103680 108351 110160 117504 120390 124416 128416 130560 132192 136442 144468 146880 155520 160520 165240 176256 180585 192624 195840 204663 207360 216702 220320 235008 240780 256832 264384 272884 288936 293760 311040 321040 325053 330480 341105 352512 361170 385248 391680 409326 433404 440640 481560 513664 528768 541755 545768 577872 587520 613989 622080 642080 650106 660960 682210 705024 722340 770496 818652 866808 881280 963120 975159 1023315 1027328 1057536 1083510 1091536 1155744 1175040 1227978 1284160 1300212 1321920 1364420 1444680 1540992 1625265 1637304 1733616 1762560 1841967 1926240 1950318 2046630 2054656 2115072 2167020 2183072 2311488 2455956 2568320 2600424 2643840 2728840 2889360 3069945 3081984 3250530 3274608 3467232 3525120 3683934 3852480 3900636 4093260 4334040 4366144 4622976 4875795 4911912 5136640 5200848 5287680 5457680 5525901 5778720 6139890 6163968 6501060 6549216 6934464 7367868 7704960 7801272 8186520 8668080 8732288 9209835 9245952 9751590 9823824 10273280 10401696 10575360 10915360 11051802 11557440 12279780 13002120 13098432 13868928 14735736 15409920 15602544 16373040 16577703 17336160 17464576 18419670 18491904 19503180 19647648 20803392 21830720 22103604 23114880 24559560 26004240 26196864 27629505 27737856 29471472 30819840 31205088 32746080 33155406 34672320 34929152 36839340 39006360 39295296 41606784 43661440 44207208 46229760 49119120 52008480 52393728 55259010 55475712 58942944 62410176 65492160 66310812 69344640 73678680 78012720 78590592 82888515 83213568 87322880 88414416 92459520 98238240 104016960 104787456 110518020 117885888 124820352 130984320 132621624 138689280 147357360 156025440 157181184 165777030 166427136 174645760 176828832 196476480 208033920 221036040 235771776 249640704 261968640 265243248 277378560 294714720 312050880 314362368 331554060 353657664 392952960 416067840 442072080 471543552 499281408 523937280 530486496 589429440 624101760 663108120 707315328 785905920 832135680 884144160 943087104 1060972992 1178858880 1248203520 1326216240 1414630656 1571811840 1768288320 2121945984 2357717760 2496407040 2652432480 2829261312 3536576640 4243891968 4715435520 5304864960 7073153280 8487783936 10609729920 14146306560 21219459840 42438919680
- Sum of all divisors σ(n): 161427730464
- Sum of proper divisors (its aliquot sum) s(n): 118988810784
- 42438919680 is an abundant number, because the sum of its proper divisors (118988810784) is greater than itself. Its abundance is 76549891104
Bases of 42438919680
- Binary: 1001111000011000111010000110000000002
- Hexadecimal: 0x9E18E8600
- Base-36: JHV1C00
Squares and roots of 42438919680
- 42438919680 squared (424389196802) is 1801061903605491302400
- 42438919680 cubed (424389196803) is 76435121465821347789492191232000
-
The
square root of 42438919680 is 206007.0864800529 -
The
cube root of 42438919680 is 3488.0934099495
Scales and comparisons
How big is 42438919680?- 42,438,919,680 seconds is equal to 1,349 years, 22 weeks, 1 day, 4 hours, 48 minutes.
-
To count from 1 to 42,438,919,680 would take you about two thousand, six hundred ninety-eight 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 42438919680 cubic inches would be around 290.7 feet tall.
Recreational maths with 42438919680
- 42438919680 backwards is 08691983424
- 42438919680 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 42438919680'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 42438919680 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 42438919680 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/42438919680/
Chicago style:
Numbermatics. 2024. "Number 42438919680 - Facts about the integer". https://numbermatics.com/n/42438919680/
The information we have on file for 42438919680 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 42438919680, math, Factors of 42438919680, curriculum, school, college, exams, university, Prime factorization of 42438919680, STEM, science, technology, engineering, physics, economics, calculator, forty-two billion, four hundred thirty-eight million, nine hundred nineteen thousand, six hundred eighty.