42146248003200
42,146,248,003,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42146248003200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2592 divisors.
42146248003200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 42146248003200:
27 × 32 × 52 × 112 × 31 × 432 × 211
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 11 × 31 × 43 × 43 × 211)See below for interesting mathematical facts about the number 42146248003200 from the Numbermatics database.
Names of 42146248003200
- Cardinal: 42146248003200 can be written as Forty-two trillion, one hundred forty-six billion, two hundred forty-eight million, three thousand, two hundred.
Scientific notation
- Scientific notation: 4.21462480032 × 1013
Factors of 42146248003200
Divisors of 42146248003200
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 31 32 33 36 40 43 44 45 48 50 55 60 62 64 66 72 75 80 86 88 90 93 96 99 100 110 120 121 124 128 129 132 144 150 155 160 165 172 176 180 186 192 198 200 211 215 220 225 240 242 248 258 264 275 279 288 300 310 320 330 341 344 352 360 363 372 384 387 396 400 422 430 440 450 465 473 480 484 495 496 516 528 550 558 576 600 605 620 633 640 645 660 682 688 704 720 726 744 774 775 792 800 825 844 860 880 900 930 946 960 968 990 992 1023 1032 1055 1056 1075 1089 1100 1116 1152 1200 1210 1240 1266 1290 1320 1333 1364 1376 1395 1408 1419 1440 1452 1488 1548 1550 1584 1600 1650 1688 1705 1720 1760 1800 1815 1849 1860 1892 1899 1920 1935 1936 1980 1984 2046 2064 2110 2112 2150 2178 2200 2232 2321 2325 2365 2400 2420 2475 2480 2532 2580 2640 2666 2728 2752 2790 2838 2880 2904 2976 3025 3069 3096 3100 3165 3168 3200 3225 3300 3376 3410 3440 3520 3600 3630 3698 3720 3751 3784 3798 3870 3872 3960 3968 3999 4092 4128 4220 4224 4257 4300 4356 4400 4464 4642 4650 4730 4800 4840 4950 4960 5064 5115 5160 5203 5275 5280 5332 5445 5456 5504 5547 5580 5676 5760 5808 5952 6050 6138 6192 6200 6330 6336 6450 6541 6600 6665 6752 6820 6880 6963 6975 7040 7095 7200 7260 7396 7440 7502 7568 7596 7740 7744 7920 7998 8184 8256 8440 8514 8525 8600 8712 8800 8928 9073 9075 9245 9284 9300 9460 9495 9600 9675 9680 9900 9920 10128 10230 10320 10406 10550 10560 10664 10890 10912 11094 11160 11253 11352 11605 11616 11825 11904 11997 12100 12276 12384 12400 12660 12672 12900 13082 13200 13330 13504 13640 13760 13926 13950 14190 14400 14520 14663 14792 14880 15004 15136 15192 15345 15480 15488 15609 15825 15840 15996 16368 16512 16641 16880 17028 17050 17200 17424 17600 17856 18146 18150 18490 18568 18600 18755 18920 18990 19350 19360 19623 19800 19840 19995 20256 20339 20460 20640 20812 20889 21100 21120 21285 21328 21780 21824 22188 22320 22506 22704 23210 23232 23650 23994 24200 24552 24768 24800 25320 25531 25575 25800 26015 26164 26400 26660 27008 27219 27225 27280 27520 27735 27852 27900 28380 28800 29040 29326 29584 29760 30008 30272 30384 30690 30960 31218 31650 31680 31992 32705 32736 33282 33325 33759 33760 34056 34100 34400 34815 34848 35200 35475 35712 36292 36300 36980 37136 37200 37510 37840 37980 38700 38720 39246 39600 39990 40512 40678 40920 41280 41624 41778 42200 42570 42656 43560 43648 43989 44376 44640 45012 45365 45408 46225 46420 46464 46827 47300 47475 47988 48400 49104 49536 49600 50640 51062 51150 51600 52030 52328 52800 53320 54438 54450 54560 55470 55704 55800 56265 56760 57319 58025 58080 58652 58869 59168 59520 59985 60016 60544 60768 61017 61380 61920 62436 63300 63360 63984 65410 65472 66564 66650 67518 67520 68112 68200 68800 69630 69696 70950 71951 72584 72600 73315 73960 74272 74400 75020 75680 75960 76593 76725 77400 77440 78045 78492 79200 79980 81024 81356 81657 81840 82560 83205 83248 83556 84400 85140 85312 87120 87978 88752 89280 90024 90730 90816 92450 92840 93654 93775 94600 94950 95976 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51086361216 52682810004 53214959600 54382255488 54452516800 56648182800 58052683200 58536455560 59866829550 61259081400 61798017600 63857951520 65343020160 65853512505 66581750400 67977819360 69663219840 70243746672 73170569450 75530910400 76629541824 79822439400 81678775200 84972274200 85143935360 87079024800 87804683340 89104118400 90637092480 93658328896 95786927280 98014530240 99872625600 105365620008 106429919200 108905033600 109755854175 113296365600 116105366400 117072911120 119733659100 122518162800 123596035200 127715903040 131707025010 135955638720 140487493344 146341138900 151061820800 153259083648 159644878800 163357550400 169944548400 174158049600 175609366680 187316657792 191573854560 196029060480 199745251200 210731240016 212859838400 219511708350 226592731200 234145822240 239467318200 245036325600 255431806080 263414050020 271911277440 280974986688 292682277800 319289757600 326715100800 329267562525 339889096800 348316099200 351218733360 383147709120 421462480032 425719676800 439023416700 453185462400 468291644480 478934636400 490072651200 526828100040 561949973376 585364555600 638579515200 658535125050 679778193600 702437466720 766295418240 842924960064 878046833400 936583288960 957869272800 980145302400 1053656200080 1170729111200 1277159030400 1317070250100 1359556387200 1404874933440 1685849920128 1756093666800 1915738545600 2107312400160 2341458222400 2634140500200 2809749866880 3512187333600 3831477091200 4214624800320 4682916444800 5268281000400 7024374667200 8429249600640 10536562000800 14048749334400 21073124001600 42146248003200
- Sum of all divisors σ(n): 175522712077440
- Sum of proper divisors (its aliquot sum) s(n): 133376464074240
- 42146248003200 is an abundant number, because the sum of its proper divisors (133376464074240) is greater than itself. Its abundance is 91230216071040
Bases of 42146248003200
- Binary: 10011001010100111100000010010000001110100000002
- Hexadecimal: 0x2654F0240E80
- Base-36: EXTPVVKW0
Squares and roots of 42146248003200
- 42146248003200 squared (421462480032002) is 1776306220747239987210240000
- 42146248003200 cubed (421462480032003) is 74864642509240101722870771138592768000000
-
The
square root of 42146248003200 is 6492014.1715187285 -
The
cube root of 42146248003200 is 34800.5658964655
Scales and comparisons
How big is 42146248003200?- 42,146,248,003,200 seconds is equal to 1,340,120 years, 16 weeks, 4 days, 8 hours.
-
To count from 1 to 42,146,248,003,200 would take you about three million, three hundred fifty thousand, three hundred 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 42146248003200 cubic inches would be around 2900 feet tall.
Recreational maths with 42146248003200
- 42146248003200 backwards is 00230084264124
- 42146248003200 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42146248003200's digits is 36
- More coming soon!
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Cite this page
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"Number 42146248003200 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 42146248003200 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/42146248003200/
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The information we have on file for 42146248003200 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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