2142319408034400
2,142,319,408,034,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 2142319408034400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 648 divisors.
2142319408034400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 2142319408034400:
25 × 32 × 52 × 72 × 367 × 16545869
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 367 × 16545869)See below for interesting mathematical facts about the number 2142319408034400 from the Numbermatics database.
Names of 2142319408034400
- Cardinal: 2142319408034400 can be written as Two quadrillion, one hundred forty-two trillion, three hundred nineteen billion, four hundred eight million, thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 2.1423194080344 × 1015
Factors of 2142319408034400
Divisors of 2142319408034400
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 70 72 75 80 84 90 96 98 100 105 112 120 126 140 144 147 150 160 168 175 180 196 200 210 224 225 240 245 252 280 288 294 300 315 336 350 360 367 392 400 420 441 450 480 490 504 525 560 588 600 630 672 700 720 734 735 784 800 840 882 900 980 1008 1050 1101 1120 1176 1200 1225 1260 1400 1440 1468 1470 1568 1575 1680 1764 1800 1835 1960 2016 2100 2202 2205 2352 2400 2450 2520 2569 2800 2936 2940 3150 3303 3360 3528 3600 3670 3675 3920 4200 4404 4410 4704 4900 5040 5138 5505 5600 5872 5880 6300 6606 7056 7200 7340 7350 7707 7840 8400 8808 8820 9175 9800 10080 10276 11010 11025 11744 11760 12600 12845 13212 14112 14680 14700 15414 16515 16800 17616 17640 17983 18350 19600 20552 22020 22050 23121 23520 25200 25690 26424 27525 29360 29400 30828 33030 35232 35280 35966 36700 38535 39200 41104 44040 44100 46242 50400 51380 52848 53949 55050 58720 58800 61656 64225 66060 70560 71932 73400 77070 82208 82575 88080 88200 89915 92484 102760 105696 107898 110100 115605 117600 123312 128450 132120 143864 146800 154140 161847 165150 176160 176400 179830 184968 192675 205520 215796 220200 231210 246624 256900 264240 269745 287728 293600 308280 323694 330300 352800 359660 369936 385350 411040 431592 440400 449575 462420 513800 528480 539490 575456 578025 616560 647388 660600 719320 739872 770700 809235 863184 880800 899150 924840 1027600 1078980 1156050 1233120 1294776 1321200 1348725 1438640 1541400 1618470 1726368 1798300 1849680 2055200 2157960 2312100 2589552 2642400 2697450 2877280 3082800 3236940 3596600 3699360 4046175 4315920 4624200 5179104 5394900 6165600 6473880 7193200 8092350 8631840 9248400 10789800 12947760 14386400 16184700 16545869 18496800 21579600 25895520 32369400 33091738 43159200 49637607 64738800 66183476 82729345 99275214 115821083 129477600 132366952 148912821 165458690 198550428 231642166 248188035 264733904 297825642 330917380 347463249 397100856 413646725 463284332 496376070 529467808 579105415 595651284 661834760 694926498 744564105 794201712 810747581 827293450 926568664 992752140 1042389747 1158210830 1191302568 1240940175 1323669520 1389852996 1489128210 1588403424 1621495162 1654586900 1737316245 1853137328 1985504280 2084779494 2316421660 2382605136 2432242743 2481880350 2647339040 2779705992 2895527075 2978256420 3242990324 3309173800 3474632490 3706274656 3722820525 3971008560 4053737905 4169558988 4632843320 4765210272 4864485486 4963760700 5211948735 5559411984 5791054150 5956512840 6072333923 6485980648 6618347600 6949264980 7296728229 7445641050 7942017120 8107475810 8339117976 8686581225 9265686640 9728970972 9927521400 10423897470 11118823968 11582108300 11913025680 12144667846 12161213715 12971961296 13236695200 13898529960 14593456458 14891282100 16214951620 16678235952 17373162450 18217001769 18531373280 19457941944 19855042800 20268689525 20847794940 23164216600 23826051360 24289335692 24322427430 25943922592 26059743675 27797059920 29186912916 29782564200 30361669615 32429903240 33356471904 34746324900 36434003538 36483641145 38915883888 39710085600 40537379050 41695589880 42506337461 46328433200 48578671384 48644854860 52119487350 54651005307 55594119840 58373825832 59565128400 60723339230 60806068575 64859806480 69492649800 72868007076 72967282290 77831767776 81074758100 83391179760 85012674922 91085008845 92656866400 97157342768 97289709720 104238974700 109302010614 116747651664 119130256800 121446678460 121612137150 127519012383 129719612960 138985299600 145736014152 145934564580 151808348075 162149516200 166782359520 170025349844 182170017690 182418205725 194314685536 194579419440 208477949400 212531687305 218604021228 233495303328 242893356920 243224274300 255038024766 273255026535 277970599200 291472028304 291869129160 297544362227 303616696150 324299032400 340050699688 364340035380 364836411450 382557037149 389158838880 416955898800 425063374610 437208042456 455425044225 485786713840 486448548600 510076049532 546510053070 582944056608 583738258320 595088724454 607233392300 637595061915 648598064800 680101399376 728680070760 729672822900 765114074298 833911797600 850126749220 874416084912 892633086681 910850088450 971573427680 972897097200 1020152099064 1062658436525 1093020106140 1167476516640 1190177448908 1214466784600 1275190123830 1360202798752 1366275132675 1457360141520 1459345645800 1487721811135 1530228148596 1700253498440 1748832169824 1785266173362 1821700176900 1912785185745 1945794194400 2040304198128 2125316873050 2186040212280 2380354897816 2428933569200 2550380247660 2677899260043 2732550265350 2914720283040 2918691291600 2975443622270 3060456297192 3187975309575 3400506996880 3570532346724 3643400353800 3825570371490 4080608396256 4250633746100 4372080424560 4463165433405 4760709795632 4857867138400 5100760495320 5355798520086 5465100530700 5837382583200 5950887244540 6120912594384 6375950619150 6801013993760 7141064693448 7286800707600 7438609055675 7651140742980 8501267492200 8744160849120 8926330866810 9521419591264 9563925928725 10201520990640 10711597040172 10930201061400 11901774489080 12241825188768 12751901238300 13389496300215 14282129386896 14573601415200 14877218111350 15302281485960 17002534984400 17852661733620 19127851857450 20403041981280 21423194080344 21860402122800 22315827167025 23803548978160 25503802476600 26778992600430 28564258773792 29754436222700 30604562971920 34005069968800 35705323467240 38255703714900 42846388160688 43720804245600 44631654334050 47607097956320 51007604953200 53557985200860 59508872445400 61209125943840 66947481501075 71410646934480 76511407429800 85692776321376 89263308668100 102015209906400 107115970401720 119017744890800 133894963002150 142821293868960 153022814859600 178526617336200 214231940803440 238035489781600 267789926004300 306045629719200 357053234672400 428463881606880 535579852008600 714106469344800 1071159704017200 2142319408034400
- Sum of all divisors σ(n): 8811662967787680
- Sum of proper divisors (its aliquot sum) s(n): 6669343559753280
- 2142319408034400 is an abundant number, because the sum of its proper divisors (6669343559753280) is greater than itself. Its abundance is 4527024151718880
Bases of 2142319408034400
- Binary: 1111001110001101101100110110100111110110010011000002
- Hexadecimal: 0x79C6D9B4FB260
- Base-36: L3DZY6HUG0
Squares and roots of 2142319408034400
- 2142319408034400 squared (21423194080344002) is 4589532446040862039271583360000
- 2142319408034400 cubed (21423194080344003) is 9832244432956931423925776869168793347584000000
-
The
square root of 2142319408034400 is 46285196.4242823539 -
The
cube root of 2142319408034400 is 128912.4139155221
Scales and comparisons
How big is 2142319408034400?- 2,142,319,408,034,400 seconds is equal to 68,119,130 years, 28 weeks, 2 days, 22 hours.
-
To count from 1 to 2,142,319,408,034,400 would take you about two hundred four million, three hundred fifty-seven thousand, three hundred ninety-one 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 2142319408034400 cubic inches would be around 10742.7 feet tall.
Recreational maths with 2142319408034400
- 2142319408034400 backwards is 0044308049132412
- 2142319408034400 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 2142319408034400's digits is 45
- More coming soon!
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