42076070400
42,076,070,400 is an even composite number composed of six prime numbers multiplied together.
42076070400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 42076070400:
29 × 3 × 52 × 7 × 13 × 12041
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 13 × 12041)See below for interesting mathematical facts about the number 42076070400 from the Numbermatics database.
Names of 42076070400
- Cardinal: 42076070400 can be written as Forty-two billion, seventy-six million, seventy thousand, four hundred.
Scientific notation
- Scientific notation: 4.20760704 × 1010
Factors of 42076070400
Divisors of 42076070400
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 50 52 56 60 64 65 70 75 78 80 84 91 96 100 104 105 112 120 128 130 140 150 156 160 168 175 182 192 195 200 208 210 224 240 256 260 273 280 300 312 320 325 336 350 364 384 390 400 416 420 448 455 480 512 520 525 546 560 600 624 640 650 672 700 728 768 780 800 832 840 896 910 960 975 1040 1050 1092 1120 1200 1248 1280 1300 1344 1365 1400 1456 1536 1560 1600 1664 1680 1792 1820 1920 1950 2080 2100 2184 2240 2275 2400 2496 2560 2600 2688 2730 2800 2912 3120 3200 3328 3360 3584 3640 3840 3900 4160 4200 4368 4480 4550 4800 4992 5200 5376 5460 5600 5824 6240 6400 6656 6720 6825 7280 7680 7800 8320 8400 8736 8960 9100 9600 9984 10400 10752 10920 11200 11648 12041 12480 12800 13440 13650 14560 15600 16640 16800 17472 17920 18200 19200 19968 20800 21840 22400 23296 24082 24960 26880 27300 29120 31200 33280 33600 34944 36123 36400 38400 41600 43680 44800 46592 48164 49920 53760 54600 58240 60205 62400 67200 69888 72246 72800 83200 84287 87360 89600 96328 99840 109200 116480 120410 124800 134400 139776 144492 145600 156533 166400 168574 174720 180615 192656 218400 232960 240820 249600 252861 268800 288984 291200 301025 313066 337148 349440 361230 385312 421435 436800 469599 481640 499200 505722 577968 582400 602050 626132 674296 698880 722460 770624 782665 842870 873600 903075 939198 963280 1011444 1095731 1155936 1164800 1204100 1252264 1264305 1348592 1444920 1541248 1565330 1685740 1747200 1806150 1878396 1926560 2022888 2107175 2191462 2311872 2347995 2408200 2504528 2528610 2697184 2889840 3082496 3130660 3287193 3371480 3494400 3612300 3756792 3853120 3913325 4045776 4214350 4382924 4623744 4695990 4816400 5009056 5057220 5394368 5478655 5779680 6164992 6261320 6321525 6574386 6742960 7224600 7513584 7706240 7826650 8091552 8428700 8765848 9247488 9391980 9632800 10018112 10114440 10788736 10957310 11559360 11739975 12522640 12643050 13148772 13485920 14449200 15027168 15412480 15653300 16183104 16435965 16857400 17531696 18494976 18783960 19265600 20036224 20228880 21577472 21914620 23118720 23479950 25045280 25286100 26297544 26971840 27393275 28898400 30054336 30824960 31306600 32366208 32871930 33714800 35063392 37567920 38531200 40072448 40457760 43154944 43829240 46237440 46959900 50090560 50572200 52595088 53943680 54786550 57796800 60108672 62613200 64732416 65743860 67429600 70126784 75135840 77062400 80144896 80915520 82179825 87658480 92474880 93919800 100181120 101144400 105190176 107887360 109573100 115593600 120217344 125226400 129464832 131487720 134859200 140253568 150271680 154124800 161831040 164359650 175316960 187839600 200362240 202288800 210380352 215774720 219146200 231187200 240434688 250452800 262975440 269718400 280507136 300543360 323662080 328719300 350633920 375679200 400724480 404577600 420760704 438292400 462374400 500905600 525950880 539436800 561014272 601086720 647324160 657438600 701267840 751358400 809155200 841521408 876584800 1001811200 1051901760 1078873600 1202173440 1314877200 1402535680 1502716800 1618310400 1683042816 1753169600 2003622400 2103803520 2629754400 2805071360 3005433600 3236620800 3506339200 4207607040 5259508800 6010867200 7012678400 8415214080 10519017600 14025356800 21038035200 42076070400
- Sum of all divisors σ(n): 171085799808
- Sum of proper divisors (its aliquot sum) s(n): 129009729408
- 42076070400 is an abundant number, because the sum of its proper divisors (129009729408) is greater than itself. Its abundance is 86933659008
Bases of 42076070400
- Binary: 1001110010111110110111100010000000002
- Hexadecimal: 0x9CBEDE200
- Base-36: JBV07PC
Squares and roots of 42076070400
- 42076070400 squared (420760704002) is 1770395700305756160000
- 42076070400 cubed (420760704003) is 74491294121922297713393664000000
-
The
square root of 42076070400 is 205124.5241310751 -
The
cube root of 42076070400 is 3478.1239723223
Scales and comparisons
How big is 42076070400?- 42,076,070,400 seconds is equal to 1,337 years, 46 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 42,076,070,400 would take you about two thousand, six hundred seventy-five 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 42076070400 cubic inches would be around 289.8 feet tall.
Recreational maths with 42076070400
- 42076070400 backwards is 00407067024
- 42076070400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 42076070400's digits is 30
- More coming soon!
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