2138949743338800
2,138,949,743,338,800 is an even composite number composed of eight prime numbers multiplied together.
2138949743338800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 2138949743338800:
24 × 34 × 52 × 7 × 61 × 73 × 281 × 7537
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 61 × 73 × 281 × 7537)See below for interesting mathematical facts about the number 2138949743338800 from the Numbermatics database.
Names of 2138949743338800
- Cardinal: 2138949743338800 can be written as Two quadrillion, one hundred thirty-eight trillion, nine hundred forty-nine billion, seven hundred forty-three million, three hundred thirty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 2.1389497433388 × 1015
Factors of 2138949743338800
Divisors of 2138949743338800
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 35 36 40 42 45 48 50 54 56 60 61 63 70 72 73 75 80 81 84 90 100 105 108 112 120 122 126 135 140 144 146 150 162 168 175 180 183 189 200 210 216 219 225 240 244 252 270 280 281 292 300 305 315 324 336 350 360 365 366 378 400 405 420 427 432 438 450 488 504 511 525 540 549 560 562 567 584 600 610 630 648 657 675 700 720 730 732 756 810 840 843 854 876 900 915 945 976 1008 1022 1050 1080 1095 1098 1124 1134 1168 1200 1220 1260 1281 1296 1314 1350 1400 1405 1460 1464 1512 1525 1533 1575 1620 1647 1680 1686 1708 1752 1800 1825 1830 1890 1967 1971 2025 2044 2100 2135 2160 2190 2196 2248 2268 2440 2520 2529 2555 2562 2628 2700 2745 2800 2810 2835 2920 2928 3024 3050 3066 3150 3240 3285 3294 3372 3416 3504 3600 3650 3660 3780 3843 3934 3942 4050 4088 4200 4215 4270 4380 4392 4453 4496 4536 4575 4599 4725 4880 4941 5040 5058 5110 5124 5256 5400 5475 5490 5620 5670 5840 5901 5913 6100 6132 6300 6405 6480 6570 6588 6744 6832 7025 7300 7320 7537 7560 7587 7665 7686 7868 7884 8100 8176 8235 8400 8430 8540 8760 8784 8906 9072 9150 9198 9450 9835 9855 9882 10116 10220 10248 10512 10675 10800 10950 10980 11240 11340 11529 11802 11826 12200 12264 12600 12645 12775 12810 13140 13176 13359 13488 13725 13797 14050 14175 14600 14640 15074 15120 15174 15330 15372 15736 15768 16200 16425 16470 16860 17080 17141 17520 17703 17812 18300 18396 18900 19215 19670 19710 19764 20232 20440 20496 20513 21075 21350 21900 21960 22265 22480 22611 22680 22761 22995 23058 23604 23652 24400 24528 24705 25200 25290 25550 25620 26280 26352 26718 27450 27594 28100 28350 29200 29505 29565 30148 30348 30660 30744 31171 31472 31536 32025 32400 32850 32940 33720 34160 34282 34587 35406 35624 36600 36792 37685 37800 37935 38325 38430 39340 39420 39528 40077 40464 40880 41026 41175 41391 42150 42700 43800 43920 44530 45222 45360 45522 45990 46116 47208 47304 49175 49275 49410 50580 51100 51240 51423 52560 52759 53109 53436 54900 55188 56200 56700 57645 59010 59130 60296 60696 61320 61488 61539 62342 63225 64050 65700 65880 66795 67440 67833 68564 68985 69174 70812 71248 73200 73584 75370 75600 75870 76650 76860 78680 78840 79056 80154 82052 82350 82782 84300 85400 85705 87600 88515 89060 90444 91044 91980 92232 93513 94416 94608 96075 98350 98550 98820 101160 102200 102480 102565 102846 105518 106218 106872 109800 110376 111325 112400 113055 113400 113805 114975 115290 118020 118260 119987 120231 120592 121392 122640 123078 123525 124684 126450 128100 131400 131760 133590 135666 137128 137970 138348 141624 143591 147525 147825 150740 151740 153300 153720 154269 155855 157360 157680 158277 159327 160308 164104 164700 165564 168600 170800 171410 172935 177030 178120 180888 182088 183960 184464 184617 187026 188425 189675 192150 196700 197100 197640 200385 202320 203499 204400 205130 205692 206955 211036 212436 213744 219600 220752 222650 226110 226800 227610 229950 230580 236040 236520 239974 240462 246156 247050 249368 252900 256200 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1414649301150 1461031245450 1465034070780 1522384158960 1527821245242 1584407217288 1627815634200 1650424184675 1669749994800 1697579161380 1753237494540 1782458119449 1831292588475 1886199068200 1902980198700 1948041660600 1953378761040 1980509021610 2037094993656 2092905815400 2121973951725 2191546868175 2263438881840 2337649992720 2376610825932 2441723451300 2504624992200 2537306931600 2546368742070 2640678695480 2829298602300 2922062490900 2930068141560 2970763532415 3055642490484 3168814434576 3255631268400 3300848369350 3395158322760 3506474989080 3564916238898 3662585176950 3772398136400 3805960397400 3819553113105 3896083321200 3961018043220 4074189987312 4185811630800 4243947903450 4383093736350 4753221651864 4883446902600 4951272554025 5009249984400 5092737484140 5281357390960 5347374358347 5658597204600 5844124981800 5860136283120 5941527064830 6111284980968 6365921855175 6601696738700 6790316645520 7012949978160 7129832477796 7325170353900 7611920794800 7639106226210 7922036086440 8487895806900 8766187472700 8912290597245 9506443303728 9766893805200 9902545108050 10185474968280 10694748716694 11317194409200 11688249963600 11883054129660 12222569961936 12731843710350 13203393477400 14259664955592 14650340707800 14853817662075 15278212452420 15844072172880 16975791613800 17532374945400 17824581194490 19097765565525 19805090216100 20370949936560 21389497433388 23766108259320 25463687420700 26406786954800 26736871791735 28519329911184 29300681415600 29707635324150 30556424904840 33951583227600 35064749890800 35649162388980 38195531131050 39610180432200 42778994866776 44561452986225 47532216518640 50927374841400 53473743583470 59415270648300 61112849809680 71298324777960 76391062262100 79220360864400 85557989733552 89122905972450 101854749682800 106947487166940 118830541296600 133684358958675 142596649555920 152782124524200 178245811944900 213894974333880 237661082593200 267368717917350 305564249048400 356491623889800 427789948667760 534737435834700 712983247779600 1069474871669400 2138949743338800
- Sum of all divisors σ(n): 9072508748121984
- Sum of proper divisors (its aliquot sum) s(n): 6933559004783184
- 2138949743338800 is an abundant number, because the sum of its proper divisors (6933559004783184) is greater than itself. Its abundance is 4794609261444384
Bases of 2138949743338800
- Binary: 1111001100101011101000010111010010011100101001100002
- Hexadecimal: 0x7995D0BA4E530
- Base-36: L26ZY34Z00
Squares and roots of 2138949743338800
- 2138949743338800 squared (21389497433388002) is 4575106004529118394971585440000
- 2138949743338800 cubed (21389497433388003) is 9785921814135360541275510481406915067072000000
-
The
square root of 2138949743338800 is 46248780.9930034805 -
The
cube root of 2138949743338800 is 128844.7894583063
Scales and comparisons
How big is 2138949743338800?- 2,138,949,743,338,800 seconds is equal to 68,011,985 years, 32 weeks, 6 days, 3 hours.
-
To count from 1 to 2,138,949,743,338,800 would take you about two hundred four million, thirty-five thousand, nine hundred fifty-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 2138949743338800 cubic inches would be around 10737.1 feet tall.
Recreational maths with 2138949743338800
- 2138949743338800 backwards is 0088333479498312
- 2138949743338800 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 2138949743338800's digits is 72
- More coming soon!
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"Number 2138949743338800 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
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Numbermatics. (2024). Number 2138949743338800 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/2138949743338800/
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The information we have on file for 2138949743338800 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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