42113971200
42,113,971,200 is an even composite number composed of six prime numbers multiplied together.
42113971200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred eighty-eight divisors.
Prime factorization of 42113971200:
210 × 3 × 52 × 72 × 192 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 19 × 19 × 31)See below for interesting mathematical facts about the number 42113971200 from the Numbermatics database.
Names of 42113971200
- Cardinal: 42113971200 can be written as Forty-two billion, one hundred thirteen million, nine hundred seventy-one thousand, two hundred.
Scientific notation
- Scientific notation: 4.21139712 × 1010
Factors of 42113971200
Divisors of 42113971200
- Number of divisors d(n): 1188
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 31 32 35 38 40 42 48 49 50 56 57 60 62 64 70 75 76 80 84 93 95 96 98 100 105 112 114 120 124 128 133 140 147 150 152 155 160 168 175 186 190 192 196 200 210 217 224 228 240 245 248 256 266 280 285 294 300 304 310 320 336 350 361 372 380 384 392 399 400 420 434 448 456 465 475 480 490 496 512 525 532 560 570 588 589 600 608 620 640 651 665 672 700 722 735 744 760 768 775 784 798 800 840 868 896 912 930 931 950 960 980 992 1024 1050 1064 1083 1085 1120 1140 1176 1178 1200 1216 1225 1240 1280 1302 1330 1344 1400 1425 1444 1470 1488 1519 1520 1536 1550 1568 1596 1600 1680 1736 1767 1792 1805 1824 1860 1862 1900 1920 1960 1984 1995 2100 2128 2166 2170 2240 2280 2325 2352 2356 2400 2432 2450 2480 2527 2560 2604 2660 2688 2793 2800 2850 2888 2940 2945 2976 3038 3040 3072 3100 3136 3192 3200 3255 3325 3360 3472 3534 3584 3610 3648 3675 3720 3724 3800 3840 3920 3968 3990 4123 4200 4256 4332 4340 4480 4557 4560 4650 4655 4704 4712 4800 4864 4900 4960 5054 5120 5208 5320 5376 5415 5425 5586 5600 5700 5776 5880 5890 5952 6076 6080 6200 6272 6384 6400 6510 6650 6720 6944 7068 7168 7220 7296 7350 7440 7448 7581 7595 7600 7680 7840 7936 7980 8246 8400 8512 8664 8680 8835 8960 9025 9114 9120 9300 9310 9408 9424 9600 9728 9800 9920 9975 10108 10416 10640 10752 10830 10850 11172 11191 11200 11400 11552 11760 11780 11904 12152 12160 12369 12400 12544 12635 12768 12800 13020 13300 13440 13888 13965 14136 14440 14592 14700 14725 14880 14896 15162 15190 15200 15360 15680 15872 15960 16275 16492 16800 17024 17328 17360 17670 17689 17920 18050 18228 18240 18600 18620 18816 18848 19200 19456 19600 19840 19950 20216 20615 20832 21280 21504 21660 21700 22344 22382 22400 22785 22800 23104 23275 23520 23560 23808 24304 24320 24738 24800 25088 25270 25536 25600 26040 26600 26880 27075 27776 27930 28272 28861 28880 29184 29400 29450 29760 29792 30324 30380 30400 31360 31744 31920 32550 32984 33573 33600 34048 34656 34720 35340 35378 35840 36100 36456 36480 37200 37240 37632 37696 37905 37975 38400 39200 39680 39900 40432 41230 41664 42560 43320 43400 44175 44688 44764 44800 45570 45600 46208 46550 47040 47120 47616 48608 48640 49476 49600 50176 50540 51072 52080 53067 53200 53760 54150 55552 55860 55955 56544 57722 57760 58368 58800 58900 59520 59584 60648 60760 60800 61845 62720 63175 63840 65100 65968 67146 67200 68096 69312 69440 69825 70680 70756 72200 72912 72960 74400 74480 75264 75392 75810 75950 76800 78337 78400 79360 79800 80864 82460 83328 85120 86583 86640 86800 88350 88445 89376 89528 89600 91140 91200 92416 93100 94080 94240 95232 97216 97280 98952 99200 101080 102144 103075 104160 106134 106400 107520 108300 111104 111720 111910 113088 113925 115444 115520 117600 117800 119040 119168 121296 121520 121600 123690 125440 126350 127680 130200 131936 134292 134400 136192 138624 138880 139650 141360 141512 144305 144400 145824 145920 148800 148960 150528 150784 151620 151900 156674 156800 158720 159600 161728 164920 166656 167865 170240 173166 173280 173600 176700 176890 178752 179056 179200 182280 182400 184832 186200 188160 188480 189525 194432 197904 198400 202160 204288 206150 208320 212268 212800 216600 222208 223440 223820 226176 227850 230888 231040 235011 235200 235600 238080 238336 242592 243040 243200 247380 250880 252700 255360 260400 263872 265335 268584 268800 277248 277760 279300 279775 282720 283024 288610 288800 291648 291840 297600 297920 301568 303240 303800 309225 313348 313600 319200 323456 329840 333312 335730 340480 346332 346560 347200 353400 353780 357504 358112 364560 364800 369664 372400 376320 376960 379050 388864 391685 395808 396800 404320 408576 412300 416640 424536 425600 432915 433200 442225 446880 447640 452352 455700 461776 462080 470022 470400 471200 476160 476672 485184 486080 486400 494760 505400 510720 520800 527744 530670 537168 537600 548359 554496 555520 558600 559550 565440 566048 577220 577600 583296 595200 595840 603136 606480 607600 618450 626696 627200 638400 646912 659680 666624 671460 680960 692664 693120 694400 706800 707560 715008 716224 721525 729120 729600 744800 752640 753920 758100 777728 783370 791616 793600 808640 824600 833280 839325 849072 851200 865830 866400 884450 893760 895280 904704 911400 923552 924160 940044 940800 942400 953344 970368 972160 989520 1010800 1021440 1041600 1055488 1061340 1074336 1096718 1108992 1111040 1117200 1119100 1130880 1132096 1154440 1155200 1166592 1175055 1190400 1191680 1212960 1215200 1236900 1253392 1254400 1276800 1293824 1319360 1326675 1342920 1385328 1386240 1388800 1413600 1415120 1430016 1432448 1443050 1458240 1459200 1489600 1507840 1516200 1555456 1566740 1583232 1617280 1645077 1649200 1666560 1678650 1698144 1702400 1731660 1732800 1768900 1787520 1790560 1809408 1822800 1847104 1848320 1880088 1881600 1884800 1940736 1944320 1958425 1979040 2021600 2042880 2083200 2110976 2122680 2148672 2164575 2193436 2234400 2238200 2261760 2264192 2308880 2310400 2333184 2350110 2380800 2383360 2425920 2430400 2473800 2506784 2553600 2587648 2638720 2653350 2685840 2741795 2770656 2772480 2777600 2827200 2830240 2860032 2864896 2886100 2916480 2979200 3015680 3032400 3133480 3166464 3234560 3290154 3298400 3333120 3357300 3396288 3404800 3463320 3465600 3537800 3575040 3581120 3645600 3694208 3760176 3763200 3769600 3881472 3888640 3916850 3958080 4043200 4166400 4221952 4245360 4297344 4329150 4386872 4468800 4476400 4523520 4528384 4617760 4620800 4666368 4700220 4766720 4851840 4860800 4947600 5013568 5107200 5277440 5306700 5371680 5483590 5541312 5544960 5555200 5654400 5660480 5729792 5772200 5832960 5875275 5958400 6064800 6266960 6332928 6469120 6580308 6596800 6714600 6792576 6926640 6931200 7075600 7150080 7162240 7291200 7388416 7520352 7539200 7762944 7777280 7833700 7916160 8086400 8225385 8332800 8490720 8594688 8658300 8773744 8937600 8952800 9047040 9056768 9235520 9241600 9400440 9703680 9721600 9895200 10027136 10214400 10554880 10613400 10743360 10967180 11082624 11308800 11320960 11459584 11544400 11665920 11750550 11916800 12129600 12533920 12665856 12938240 13160616 13193600 13429200 13585152 13708975 13853280 13862400 14151200 14300160 14324480 14582400 14776832 15040704 15078400 15667400 15832320 16172800 16450770 16665600 16981440 17189376 17316600 17547488 17875200 17905600 18113536 18471040 18800880 19407360 19443200 19790400 20054272 21109760 21226800 21486720 21934360 22165248 22617600 22641920 23088800 23331840 23501100 23833600 24259200 25067840 26321232 26387200 26858400 27170304 27417950 27706560 27724800 28302400 28648960 29164800 29553664 30081408 31334800 31664640 32345600 32901540 33962880 34378752 34633200 35094976 35750400 35811200 36942080 37601760 38814720 38886400 39580800 40108544 41126925 42453600 42973440 43868720 44330496 45235200 45283840 46177600 47002200 48518400 50135680 52642464 52774400 53716800 54340608 54835900 55413120 56604800 57297920 58329600 60162816 62669600 63329280 64691200 65803080 67925760 69266400 70189952 71500800 71622400 73884160 75203520 79161600 80217088 82253850 84907200 85946880 87737440 88660992 90567680 92355200 94004400 97036800 100271360 105284928 105548800 107433600 109671800 110826240 113209600 116659200 120325632 125339200 131606160 135851520 138532800 140379904 143244800 147768320 150407040 158323200 164507700 169814400 171893760 175474880 184710400 188008800 194073600 200542720 210569856 214867200 219343600 221652480 226419200 240651264 250678400 263212320 271703040 277065600 280759808 286489600 300814080 316646400 329015400 339628800 350949760 369420800 376017600 401085440 421139712 429734400 438687200 443304960 452838400 501356800 526424640 554131200 561519616 601628160 658030800 679257600 701899520 738841600 752035200 842279424 859468800 877374400 1002713600 1052849280 1108262400 1203256320 1316061600 1358515200 1403799040 1504070400 1684558848 1754748800 2005427200 2105698560 2216524800 2632123200 2807598080 3008140800 3509497600 4211397120 5264246400 6016281600 7018995200 8422794240 10528492800 14037990400 21056985600 42113971200
- Sum of all divisors σ(n): 176396245632
- Sum of proper divisors (its aliquot sum) s(n): 134282274432
- 42113971200 is an abundant number, because the sum of its proper divisors (134282274432) is greater than itself. Its abundance is 92168303232
Bases of 42113971200
- Binary: 1001110011100011000000110100000000002
- Hexadecimal: 0x9CE303400
- Base-36: JCHKK5C
Squares and roots of 42113971200
- 42113971200 squared (421139712002) is 1773586570234429440000
- 42113971200 cubed (421139712003) is 74692773739559538684592128000000
-
The
square root of 42113971200 is 205216.8881939301 -
The
cube root of 42113971200 is 3479.1679871167
Scales and comparisons
How big is 42113971200?- 42,113,971,200 seconds is equal to 1,339 years, 4 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 42,113,971,200 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 42113971200 cubic inches would be around 289.9 feet tall.
Recreational maths with 42113971200
- 42113971200 backwards is 00217931124
- 42113971200 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 42113971200's digits is 30
- More coming soon!
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The information we have on file for 42113971200 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!
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