2042037171200
2,042,037,171,200 is an even composite number composed of six prime numbers multiplied together.
2042037171200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred ninety-two divisors.
Prime factorization of 2042037171200:
210 × 52 × 13 × 17 × 612 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 17 × 61 × 61 × 97)See below for interesting mathematical facts about the number 2042037171200 from the Numbermatics database.
Names of 2042037171200
- Cardinal: 2042037171200 can be written as Two trillion, forty-two billion, thirty-seven million, one hundred seventy-one thousand, two hundred.
Scientific notation
- Scientific notation: 2.0420371712 × 1012
Factors of 2042037171200
Divisors of 2042037171200
- Number of divisors d(n): 792
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 61 64 65 68 80 85 97 100 104 122 128 130 136 160 170 194 200 208 221 244 256 260 272 305 320 325 340 388 400 416 425 442 485 488 512 520 544 610 640 650 680 776 793 800 832 850 884 970 976 1024 1037 1040 1088 1105 1220 1261 1280 1300 1360 1525 1552 1586 1600 1649 1664 1700 1768 1940 1952 2074 2080 2176 2210 2425 2440 2522 2560 2600 2720 3050 3104 3172 3200 3298 3328 3400 3536 3721 3880 3904 3965 4148 4160 4352 4420 4850 4880 5044 5120 5185 5200 5440 5525 5917 6100 6208 6305 6344 6400 6596 6656 6800 7072 7442 7760 7808 7930 8245 8296 8320 8704 8840 9700 9760 10088 10370 10400 10880 11050 11834 12200 12416 12610 12688 12800 13192 13312 13481 13600 14144 14884 15520 15616 15860 16490 16592 16640 17408 17680 18605 19400 19520 19825 20176 20740 20800 21437 21760 22100 23668 24400 24832 25220 25376 25600 25925 26384 26962 27200 28288 29585 29768 31040 31232 31525 31720 32980 33184 33280 35360 37210 38800 39040 39650 40352 41225 41480 41600 42874 43520 44200 47336 48373 48800 49664 50440 50752 51850 52768 53924 54400 56576 59170 59536 62080 62464 63050 63257 63440 65960 66368 66560 67405 70720 74420 76921 77600 78080 79300 80704 82450 82960 83200 85748 87040 88400 93025 94672 96746 97600 99328 100589 100880 101504 103700 105536 107185 107848 108800 113152 118340 119072 124160 126100 126514 126880 131920 132736 134810 141440 147925 148840 153842 155200 156160 158600 161408 164900 165920 166400 171496 176800 186050 189344 193492 195200 201178 201760 203008 207400 211072 214370 215696 217600 226304 236680 238144 241865 248320 252200 253028 253760 263840 265472 269620 282880 295850 297680 307684 310400 312320 316285 317200 322816 329800 331840 332800 337025 342992 353600 360937 372100 378688 384605 386984 390400 402356 403520 406016 414800 422144 428740 431392 435200 473360 476288 483730 496640 502945 504400 506056 507520 527680 530944 535925 539240 565760 591700 595360 615368 620800 632570 634400 645632 659600 663680 674050 685984 707200 721874 744200 757376 769210 773968 780800 804712 807040 812032 822341 829600 844288 857480 862784 946720 952576 967460 1005890 1008800 1012112 1015040 1055360 1061888 1071850 1078480 1131520 1183400 1190720 1209325 1230736 1241600 1265140 1268800 1291264 1307657 1319200 1327360 1348100 1371968 1414400 1443748 1488400 1514752 1538420 1547936 1561600 1581425 1609424 1614080 1644682 1659200 1688576 1714960 1725568 1804685 1893440 1905152 1923025 1934920 2011780 2017600 2024224 2030080 2110720 2143700 2156960 2366800 2381440 2418650 2461472 2483200 2514725 2530280 2537600 2615314 2638400 2654720 2696200 2743936 2828800 2887496 2976800 3029504 3076840 3095872 3162850 3218848 3228160 3289364 3318400 3429920 3451136 3609370 3786880 3810304 3846050 3869840 4023560 4035200 4048448 4060160 4111705 4221440 4287400 4313920 4692181 4733600 4762880 4837300 4922944 5029450 5060560 5075200 5230628 5276800 5309440 5392400 5487872 5657600 5774992 5953600 6059008 6135929 6153680 6191744 6325700 6437696 6456320 6538285 6578728 6636800 6859840 6902272 7218740 7573760 7692100 7739680 8047120 8070400 8096896 8223410 8442880 8574800 8627840 9023425 9384362 9467200 9525760 9674600 9845888 10058900 10121120 10150400 10461256 10553600 10784800 10975744 11549984 11907200 12271858 12307360 12383488 12651400 12875392 13076570 13157456 13273600 13719680 13804544 14437480 15147520 15384200 15479360 16094240 16140800 16193792 16446820 17149600 17255680 18046850 18768724 18934400 19051520 19349200 19691776 20117800 20242240 20300800 20558525 20922512 21107200 21569600 21951488 23099968 23460905 23814400 24543716 24614720 24766976 25302800 25750784 26153140 26314912 26547200 27439360 28874960 30295040 30679645 30768400 30958720 32188480 32281600 32387584 32691425 32893640 34299200 34511360 36093700 37537448 37868800 38698400 39383552 40235600 40484480 41117050 41845024 42214400 43139200 46199936 46921810 47628800 49087432 49229440 49533952 50605600 51501568 52306280 52629824 54878720 57749920 61359290 61536800 61917440 64376960 64775168 65382850 65787280 68598400 69022720 72187400 75074896 75737600 77396800 78767104 79767077 80471200 80968960 82234100 83690048 86278400 92399872 93843620 95257600 98174864 98458880 101211200 103003136 104612560 105259648 109757440 115499840 117304525 122718580 123073600 123834880 128753920 130765700 131574560 137196800 144374800 150149792 151475200 153398225 154793600 159534154 160942400 161937920 164468200 167380096 172556800 184799744 187687240 196349728 196917760 202422400 209225120 210519296 230999680 234609050 245437160 246147200 247669760 257507840 261531400 263149120 274393600 288749600 300299584 306796450 309587200 319068308 321884800 323875840 328936400 334760192 345113600 369599488 375374480 392699456 393835520 398835385 404844800 418450240 421038592 461999360 469218100 490874320 492294400 515015680 523062800 526298240 548787200 577499200 600599168 613592900 619174400 638136616 643769600 657872800 669520384 750748960 785398912 797670770 809689600 836900480 842077184 923998720 938436200 981748640 984588800 1046125600 1052596480 1154998400 1201198336 1227185800 1238348800 1276273232 1287539200 1315745600 1339040768 1501497920 1570797824 1595341540 1619379200 1673800960 1847997440 1876872400 1963497280 1969177600 1994176925 2092251200 2105192960 2309996800 2402396672 2454371600 2552546464 2575078400 2631491200 3002995840 3141595648 3190683080 3347601920 3753744800 3926994560 3988353850 4184502400 4210385920 4619993600 4804793344 4908743200 5105092928 5262982400 6005991680 6283191296 6381366160 6695203840 7507489600 7853989120 7976707700 8369004800 9239987200 9817486400 10210185856 10525964800 12011983360 12762732320 15014979200 15707978240 15953415400 16738009600 19634972800 20420371712 21051929600 24023966720 25525464640 30029958400 31415956480 31906830800 33476019200 39269945600 40840743424 51050929280 60059916800 63813661600 78539891200 81681486848 102101858560 120119833600 127627323200 157079782400 204203717120 255254646400 408407434240 510509292800 1021018585600 2042037171200
- Sum of all divisors σ(n): 5928468194376
- Sum of proper divisors (its aliquot sum) s(n): 3886431023176
- 2042037171200 is an abundant number, because the sum of its proper divisors (3886431023176) is greater than itself. Its abundance is 1844393851976
Bases of 2042037171200
- Binary: 111011011011100101110011001110100000000002
- Hexadecimal: 0x1DB72E67400
- Base-36: Q23K7HFK
Squares and roots of 2042037171200
- 2042037171200 squared (20420371712002) is 4169915808562498109440000
- 2042037171200 cubed (20420371712003) is 8515123081859124377806205616128000000
-
The
square root of 2042037171200 is 1428998.6603212755 -
The
cube root of 2042037171200 is 12686.8716945379
Scales and comparisons
How big is 2042037171200?- 2,042,037,171,200 seconds is equal to 64,930 years, 24 weeks, 1 day, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 2,042,037,171,200 would take you about one hundred sixty-two thousand, three hundred twenty-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 2042037171200 cubic inches would be around 1057.2 feet tall.
Recreational maths with 2042037171200
- 2042037171200 backwards is 0021717302402
- The number of decimal digits it has is: 13
- The sum of 2042037171200's digits is 29
- More coming soon!
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