42125718960
42,125,718,960 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42125718960 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 480 divisors.
42125718960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 42125718960:
24 × 32 × 5 × 13 × 31 × 41 × 3541
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 31 × 41 × 3541)See below for interesting mathematical facts about the number 42125718960 from the Numbermatics database.
Names of 42125718960
- Cardinal: 42125718960 can be written as Forty-two billion, one hundred twenty-five million, seven hundred eighteen thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.212571896 × 1010
Factors of 42125718960
Divisors of 42125718960
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 31 36 39 40 41 45 48 52 60 62 65 72 78 80 82 90 93 104 117 120 123 124 130 144 155 156 164 180 186 195 205 208 234 240 246 248 260 279 310 312 328 360 369 372 390 403 410 465 468 492 496 520 533 558 585 615 620 624 656 720 738 744 780 806 820 930 936 984 1040 1066 1116 1170 1209 1230 1240 1271 1395 1476 1488 1560 1599 1612 1640 1845 1860 1872 1968 2015 2132 2232 2340 2418 2460 2480 2542 2665 2790 2952 3120 3198 3224 3280 3541 3627 3690 3720 3813 4030 4264 4464 4680 4797 4836 4920 5084 5330 5580 5904 6045 6355 6396 6448 7082 7254 7380 7440 7626 7995 8060 8528 9360 9594 9672 9840 10168 10623 10660 11160 11439 12090 12710 12792 14164 14508 14760 15252 15990 16120 16523 17705 18135 19065 19188 19344 20336 21246 21320 22320 22878 23985 24180 25420 25584 28328 29016 29520 30504 31869 31980 32240 33046 35410 36270 38130 38376 42492 42640 45756 46033 47970 48360 49569 50840 53115 56656 57195 58032 61008 63738 63960 66092 70820 72540 76260 76752 82615 84984 91512 92066 95940 96720 99138 101680 106230 109771 114390 127476 127920 132184 138099 141640 145080 145181 148707 152520 159345 165230 169968 183024 184132 191880 198276 212460 219542 228780 230165 247845 254952 264368 276198 283280 290160 290362 297414 305040 318690 329313 330460 368264 383760 396552 414297 424920 435543 439084 457560 460330 495690 509904 548855 552396 580724 594828 637380 658626 660920 690495 725905 736528 743535 793104 828594 849840 871086 878168 915120 920660 987939 991380 1097710 1104792 1161448 1189656 1274760 1306629 1317252 1321840 1380990 1427023 1451810 1487070 1646565 1657188 1742172 1756336 1841320 1887353 1975878 1982760 2071485 2177715 2195420 2209584 2322896 2379312 2549520 2613258 2634504 2761980 2854046 2903620 2974140 3293130 3314376 3484344 3682640 3774706 3951756 3965520 4142970 4281069 4355430 4390840 4500611 4939695 5226516 5269008 5523960 5662059 5708092 5807240 5948280 6533145 6586260 6628752 6968688 7135115 7549412 7903512 8285940 8562138 8710860 8781680 9001222 9436765 9879390 10453032 11047920 11324118 11416184 11614480 11896560 12843207 13066290 13172520 13501833 14270230 15098824 15807024 16571880 16986177 17124276 17421720 18002444 18873530 19758780 20906064 21405345 22503055 22648236 22832368 25686414 26132580 26345040 27003666 28310295 28540460 30197648 33143760 33972354 34248552 34843440 36004888 37747060 39517560 40505499 42810690 45006110 45296472 51372828 52265160 54007332 56620590 57080920 58507943 64216035 67509165 67944708 68497104 72009776 75494120 79035120 81010998 84930885 85621380 90012220 90592944 102745656 104530320 108014664 113241180 114161840 117015886 128432070 135018330 135889416 150988240 162021996 169861770 171242760 175523829 180024440 202527495 205491312 216029328 226482360 234031772 256864140 270036660 271778832 292539715 324043992 339723540 342485520 351047658 360048880 405054990 452964720 468063544 513728280 526571487 540073320 585079430 648087984 679447080 702095316 810109980 877619145 936127088 1027456560 1053142974 1080146640 1170158860 1358894160 1404190632 1620219960 1755238290 2106285948 2340317720 2632857435 2808381264 3240439920 3510476580 4212571896 4680635440 5265714870 7020953160 8425143792 10531429740 14041906320 21062859480 42125718960
- Sum of all divisors σ(n): 161150685696
- Sum of proper divisors (its aliquot sum) s(n): 119024966736
- 42125718960 is an abundant number, because the sum of its proper divisors (119024966736) is greater than itself. Its abundance is 76899247776
Bases of 42125718960
- Binary: 1001110011101110001101110101101100002
- Hexadecimal: 0x9CEE375B0
- Base-36: JCOKCS0
Squares and roots of 42125718960
- 42125718960 squared (421257189602) is 1774576197896903481600
- 42125718960 cubed (421257189603) is 74755298185710299120127131136000
-
The
square root of 42125718960 is 205245.5089886257 -
The
cube root of 42125718960 is 3479.4914635427
Scales and comparisons
How big is 42125718960?- 42,125,718,960 seconds is equal to 1,339 years, 24 weeks, 2 days, 4 hours, 36 minutes.
-
To count from 1 to 42,125,718,960 would take you about two thousand, six hundred seventy-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 42125718960 cubic inches would be around 290 feet tall.
Recreational maths with 42125718960
- 42125718960 backwards is 06981752124
- 42125718960 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 42125718960's digits is 45
- More coming soon!
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