42788148073920
42,788,148,073,920 is an even composite number composed of six prime numbers multiplied together.
What does the number 42788148073920 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 448 divisors.
42788148073920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 42788148073920:
26 × 33 × 5 × 601 × 1741 × 4733
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 601 × 1741 × 4733)See below for interesting mathematical facts about the number 42788148073920 from the Numbermatics database.
Names of 42788148073920
- Cardinal: 42788148073920 can be written as Forty-two trillion, seven hundred eighty-eight billion, one hundred forty-eight million, seventy-three thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.278814807392 × 1013
Factors of 42788148073920
Divisors of 42788148073920
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 601 720 864 960 1080 1202 1440 1728 1741 1803 2160 2404 2880 3005 3482 3606 4320 4733 4808 5223 5409 6010 6964 7212 8640 8705 9015 9466 9616 10446 10818 12020 13928 14199 14424 15669 16227 17410 18030 18932 19232 20892 21636 23665 24040 26115 27045 27856 28398 28848 31338 32454 34820 36060 37864 38464 41784 42597 43272 47007 47330 48080 52230 54090 55712 56796 57696 62676 64908 69640 70995 72120 75728 78345 81135 83568 85194 86544 94014 94660 96160 104460 108180 111424 113592 115392 125352 127791 129816 139280 141990 144240 151456 156690 162270 167136 170388 173088 188028 189320 192320 208920 212985 216360 227184 235035 250704 255582 259632 278560 283980 288480 302912 313380 324540 334272 340776 346176 376056 378640 417840 425970 432720 454368 470070 501408 511164 519264 557120 567960 576960 626760 638955 649080 681552 752112 757280 835680 851940 865440 908736 940140 1002816 1022328 1038528 1046341 1135920 1253520 1277910 1298160 1363104 1504224 1514560 1671360 1703880 1730880 1880280 2044656 2092682 2271840 2507040 2555820 2596320 2726208 2844533 3008448 3139023 3407760 3760560 4089312 4185364 4543680 5014080 5111640 5192640 5231705 5689066 6278046 6815520 7521120 8178624 8240153 8370728 8533599 9417069 10223280 10463410 11378132 12556092 13631040 14222665 15042240 15695115 16480306 16741456 17067198 18834138 20446560 20926820 22756264 24720459 25112184 25600797 28251207 28445330 31390230 32960612 33482912 34134396 37668276 40893120 41200765 41853640 42667995 45512528 47085345 49440918 50224368 51201594 56502414 56890660 62780460 65921224 66965824 68268792 74161377 75336552 76802391 82401530 83707280 85335990 91025056 94170690 98881836 100448736 102403188 113004828 113781320 123602295 125560920 128003985 131842448 136537584 141256035 148322754 150673104 153604782 164803060 167414560 170671980 182050112 188341380 197763672 200897472 204806376 222484131 226009656 227562640 247204590 251121840 256007970 263684896 273075168 282512070 296645508 301346208 307209564 329606120 334829120 341343960 370806885 376682760 384011955 395527344 409612752 444968262 452019312 455125280 494409180 502243680 512015940 527369792 546150336 565024140 593291016 602692416 614419128 659212240 682687920 741613770 753365520 768023910 791054688 819225504 889936524 904038624 910250560 988818360 1004487360 1024031880 1112420655 1130048280 1186582032 1228838256 1318424480 1365375840 1483227540 1506731040 1536047820 1582109376 1638451008 1779873048 1808077248 1977636720 2048063760 2224841310 2260096560 2373164064 2457676512 2636848960 2730751680 2966455080 3013462080 3072095640 3559746096 3955273440 4096127520 4449682620 4520193120 4746328128 4915353024 4952331953 5932910160 6144191280 7119492192 7910546880 8192255040 8899365240 9040386240 9904663906 11865820320 12288382560 14238984384 14856995859 17798730480 19809327812 23731640640 24576765120 24761659765 29713991718 35597460960 39618655624 44570987577 49523319530 59427983436 71194921920 74284979295 79237311248 89141975154 99046639060 118855966872 133712962731 148569958590 158474622496 178283950308 198093278120 222854937885 237711933744 267425925462 297139917180 316949244992 356567900616 396186556240 445709875770 475423867488 534851850924 594279834360 668564813655 713135801232 792373112480 891419751540 950847734976 1069703701848 1188559668720 1337129627310 1426271602464 1584746224960 1782839503080 2139407403696 2377119337440 2674259254620 2852543204928 3565679006160 4278814807392 4754238674880 5348518509240 7131358012320 8557629614784 10697037018480 14262716024640 21394074036960 42788148073920
- Sum of all divisors σ(n): 151317047306880
- Sum of proper divisors (its aliquot sum) s(n): 108528899232960
- 42788148073920 is an abundant number, because the sum of its proper divisors (108528899232960) is greater than itself. Its abundance is 65740751159040
Bases of 42788148073920
- Binary: 10011011101010011001000101110111010101110000002
- Hexadecimal: 0x26EA645DD5C0
- Base-36: F60LQLTC0
Squares and roots of 42788148073920
- 42788148073920 squared (427881480739202) is 1830825615595703805784166400
- 42788148073920 cubed (427881480739203) is 78337637537634712110890593303392780288000
-
The
square root of 42788148073920 is 6541265.0209206475 -
The
cube root of 42788148073920 is 34976.3508469361
Scales and comparisons
How big is 42788148073920?- 42,788,148,073,920 seconds is equal to 1,360,530 years, 39 weeks, 2 days, 7 hours, 12 minutes.
-
To count from 1 to 42,788,148,073,920 would take you about three million, four hundred one thousand, three hundred twenty-six 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 42788148073920 cubic inches would be around 2914.7 feet tall.
Recreational maths with 42788148073920
- 42788148073920 backwards is 02937084188724
- The number of decimal digits it has is: 14
- The sum of 42788148073920's digits is 63
- 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 42788148073920 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 42788148073920 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/42788148073920/
Chicago style:
Numbermatics. 2024. "Number 42788148073920 - Facts about the integer". https://numbermatics.com/n/42788148073920/
The information we have on file for 42788148073920 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 42788148073920, math, Factors of 42788148073920, curriculum, school, college, exams, university, Prime factorization of 42788148073920, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, seven hundred eighty-eight billion, one hundred forty-eight million, seventy-three thousand, nine hundred twenty.