42132456038400
42,132,456,038,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 42132456038400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2100 divisors.
42132456038400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred divisors.
Prime factorization of 42132456038400:
213 × 3 × 52 × 74 × 134
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 13 × 13 × 13 × 13)See below for interesting mathematical facts about the number 42132456038400 from the Numbermatics database.
Names of 42132456038400
- Cardinal: 42132456038400 can be written as Forty-two trillion, one hundred thirty-two billion, four hundred fifty-six million, thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 4.21324560384 × 1013
Factors of 42132456038400
Divisors of 42132456038400
- Number of divisors d(n): 2100
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 49 50 52 56 60 64 65 70 75 78 80 84 91 96 98 100 104 105 112 120 128 130 140 147 150 156 160 168 169 175 182 192 195 196 200 208 210 224 240 245 256 260 273 280 294 300 312 320 325 336 338 343 350 364 384 390 392 400 416 420 448 455 480 490 507 512 520 525 546 560 588 600 624 637 640 650 672 676 686 700 728 735 768 780 784 800 832 840 845 896 910 960 975 980 1014 1024 1029 1040 1050 1092 1120 1176 1183 1200 1225 1248 1274 1280 1300 1344 1352 1365 1372 1400 1456 1470 1536 1560 1568 1600 1664 1680 1690 1715 1792 1820 1911 1920 1950 1960 2028 2048 2058 2080 2100 2184 2197 2240 2275 2352 2366 2400 2401 2450 2496 2535 2548 2560 2600 2688 2704 2730 2744 2800 2912 2940 3072 3120 3136 3185 3200 3328 3360 3380 3430 3549 3584 3640 3675 3822 3840 3900 3920 4056 4096 4116 4160 4200 4225 4368 4394 4459 4480 4550 4704 4732 4800 4802 4900 4992 5070 5096 5120 5145 5200 5376 5408 5460 5488 5600 5824 5880 5915 6144 6240 6272 6370 6400 6591 6656 6720 6760 6825 6860 7098 7168 7203 7280 7350 7644 7680 7800 7840 8112 8192 8232 8281 8320 8400 8450 8575 8736 8788 8918 8960 9100 9408 9464 9555 9600 9604 9800 9984 10140 10192 10240 10290 10400 10752 10816 10920 10976 10985 11200 11648 11760 11830 12005 12288 12480 12544 12675 12740 12800 13182 13312 13377 13440 13520 13650 13720 14196 14336 14406 14560 14700 15288 15360 15379 15600 15680 15925 16224 16464 16562 16640 16800 16900 17150 17472 17576 17745 17836 17920 18200 18816 18928 19110 19200 19208 19600 19968 20280 20384 20480 20580 20800 21504 21632 21840 21952 21970 22295 22400 23296 23520 23660 24010 24576 24843 24960 25088 25350 25480 25600 25725 26364 26624 26754 26880 27040 27300 27440 28392 28561 28672 28812 29120 29400 29575 30576 30720 30758 31200 31213 31360 31850 32448 32928 32955 33124 33280 33600 33800 34300 34944 35152 35490 35672 35840 36015 36400 37632 37856 38220 38400 38416 39200 39936 40560 40768 40960 41160 41405 41600 43008 43264 43680 43904 43940 44590 44800 46137 46592 47040 47320 47775 48020 49686 49920 50176 50700 50960 51200 51450 52728 53248 53508 53760 54080 54600 54880 54925 56784 57122 57344 57624 57967 58240 58800 59150 60025 61152 61440 61516 62400 62426 62720 63700 64896 65856 65910 66248 66560 66885 67200 67600 68600 69888 70304 70980 71344 71680 72030 72800 75264 75712 76440 76800 76832 76895 78400 79872 81120 81536 82320 82810 83200 85683 86016 86528 87360 87808 87880 88725 89180 89600 92274 93184 93639 94080 94640 95550 96040 99372 99840 100352 101400 101920 102400 102900 105456 106496 107016 107520 107653 108160 109200 109760 109850 111475 113568 114244 115248 115934 116480 117600 118300 120050 122304 122880 123032 124215 124800 124852 125440 127400 129792 131712 131820 132496 133120 133770 134400 135200 137200 139776 140608 141960 142688 142805 143360 144060 145600 150528 151424 152880 153600 153664 153790 156065 156800 159744 162240 163072 164640 164775 165620 166400 171366 172032 173056 173901 174720 175616 175760 177450 178360 179200 180075 184548 186368 187278 188160 189280 191100 192080 198744 199680 199927 200704 202800 203840 204800 205800 207025 210912 214032 215040 215306 216320 218400 219520 219700 222950 227136 228488 230496 230685 231868 232960 235200 236600 240100 244608 246064 248430 249600 249704 250880 254800 259584 263424 263640 264992 266240 267540 268800 270400 274400 279552 281216 283920 285376 285610 286720 288120 289835 291200 301056 302848 305760 307200 307328 307580 312130 313600 319488 322959 324480 326144 329280 329550 331240 332800 334425 342732 346112 347802 349440 351232 351520 354900 356720 358400 360150 369096 372736 374556 376320 378560 382200 384160 384475 397488 399360 399854 401408 405600 405769 407680 411600 414050 421824 428064 428415 430080 430612 432640 436800 439040 439400 445900 454272 456976 460992 461370 463736 465920 468195 470400 473200 480200 489216 492128 496860 499200 499408 501760 509600 519168 526848 527280 529984 532480 535080 537600 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506399712 508784640 511813120 516734400 519384320 527499700 537403776 547921920 548371200 548599688 551183360 556483200 559795600 578742528 584929280 587785380 590553600 593582080 599289600 602856800 614175744 623261184 626971072 629923840 632999640 635980800 639242240 639766400 649230400 661420032 671754720 674918400 675199616 684902400 685749610 688979200 701915136 712298496 716538368 723428160 726835200 731161600 734731725 737587200 741977600 767090688 767719680 771656704 779076480 783713840 787404800 791249550 799052800 818900992 822899532 826775040 831014912 839693400 843999520 847974400 877393920 881893376 890373120 895672960 904285200 913203200 940456608 944885760 958863360 959649600 964570880 973845600 979642300 1012799424 1017569280 1023626240 1028624415 1033468800 1038768640 1054999400 1074807552 1096742400 1097199376 1102366720 1112966400 1119591200 1157485056 1169858560 1175570760 1181107200 1187164160 1198579200 1205713600 1228351488 1246522368 1253942144 1265999280 1271961600 1278484480 1279532800 1298460800 1322840064 1343509440 1349836800 1350399232 1369804800 1371499220 1377958400 1424596992 1433076736 1446856320 1462323200 1469463450 1475174400 1483955200 1535439360 1543313408 1558152960 1567427680 1574809600 1582499100 1598105600 1637801984 1645799064 1653550080 1662029824 1679386800 1687999040 1695948800 1714374025 1754787840 1780746240 1791345920 1808570400 1880913216 1889771520 1917726720 1919299200 1929141760 1947691200 1959284600 2025598848 2047252480 2057248830 2066937600 2077537280 2109998800 2149615104 2193484800 2194398752 2204733440 2225932800 2239182400 2314970112 2351141520 2362214400 2374328320 2397158400 2411427200 2456702976 2493044736 2507884288 2531998560 2543923200 2559065600 2596921600 2645680128 2687018880 2700798464 2739609600 2742998440 2755916800 2866153472 2893712640 2924646400 2938926900 2967910400 3070878720 3086626816 3116305920 3134855360 3149619200 3164998200 3196211200 3291598128 3307100160 3324059648 3358773600 3375998080 3428748050 3509575680 3561492480 3582691840 3617140800 3761826432 3835453440 3838598400 3858283520 3895382400 3918569200 4051197696 4094504960 4114497660 4133875200 4155074560 4219997600 4299230208 4386969600 4388797504 4409466880 4451865600 4478364800 4629940224 4702283040 4724428800 4794316800 4822854400 4913405952 4986089472 5015768576 5063997120 5087846400 5118131200 5143122075 5193843200 5374037760 5401596928 5485996880 5511833600 5732306944 5787425280 5849292800 5877853800 5935820800 6141757440 6173253632 6232611840 6269710720 6329996400 6392422400 6583196256 6614200320 6717547200 6751996160 6857496100 7122984960 7165383680 7234281600 7523652864 7677196800 7716567040 7790764800 7837138400 8102395392 8189009920 8228995320 8267750400 8310149120 8439995200 8598460416 8773939200 8777595008 8903731200 8956729600 9259880448 9404566080 9448857600 9588633600 9645708800 9972178944 10031537152 10127994240 10236262400 10286244150 10387686400 10748075520 10803193856 10971993760 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50639971200 52665570048 53740377600 54015969280 54859968800 57323069440 57874252800 60189222912 61417574400 62326118400 62697107200 64819163136 65831962560 66142003200 67519961600 70220760064 71653836800 75236528640 77165670400 80252297216 81023953920 82289953200 83101491200 85984604160 87775950080 92598804480 94045660800 100315371520 101279942400 105331140096 107480755200 108031938560 109719937600 115748505600 120378445824 122835148800 124652236800 125394214400 129638326272 131663925120 135039923200 140441520128 143307673600 150473057280 154331340800 162047907840 164579906400 171969208320 175551900160 188091321600 200630743040 202559884800 210662280192 214961510400 216063877120 219439875200 231497011200 240756891648 249304473600 250788428800 263327850240 270079846400 280883040256 286615347200 300946114560 324095815680 329159812800 351103800320 376182643200 401261486080 405119769600 421324560384 429923020800 438879750400 462994022400 501576857600 526655700480 540159692800 561766080512 601892229120 648191631360 658319625600 702207600640 752365286400 810239539200 842649120768 859846041600 877759500800 1003153715200 1053311400960 1080319385600 1203784458240 1316639251200 1404415201280 1504730572800 1620479078400 1685298241536 1755519001600 2006307430400 2106622801920 2633278502400 2808830402560 3009461145600 3240958156800 3511038003200 4213245603840 5266557004800 6018922291200 7022076006400 8426491207680 10533114009600 14044152012800 21066228019200 42132456038400
- Sum of all divisors σ(n): 176060759515572
- Sum of proper divisors (its aliquot sum) s(n): 133928303477172
- 42132456038400 is an abundant number, because the sum of its proper divisors (133928303477172) is greater than itself. Its abundance is 91795847438772
Bases of 42132456038400
- Binary: 10011001010001101110100001001101100000000000002
- Hexadecimal: 0x2651BA136000
- Base-36: EXNDSHWQO
Squares and roots of 42132456038400
- 42132456038400 squared (421324560384002) is 1775143851827708622274560000
- 42132456038400 cubed (421324560384003) is 74791170298966977018987530214703104000000
-
The
square root of 42132456038400 is 6490951.8591959993 -
The
cube root of 42132456038400 is 34796.7694292657
Scales and comparisons
How big is 42132456038400?- 42,132,456,038,400 seconds is equal to 1,339,681 years, 40 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 42,132,456,038,400 would take you about three million, three hundred forty-nine thousand, two hundred four 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 42132456038400 cubic inches would be around 2899.7 feet tall.
Recreational maths with 42132456038400
- 42132456038400 backwards is 00483065423124
- 42132456038400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42132456038400's digits is 42
- More coming soon!
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Cite this page
MLA style:
"Number 42132456038400 - Facts about the integer". Numbermatics.com. 2024. Web. 1 May 2024.
APA style:
Numbermatics. (2024). Number 42132456038400 - Facts about the integer. Retrieved 1 May 2024, from https://numbermatics.com/n/42132456038400/
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Numbermatics. 2024. "Number 42132456038400 - Facts about the integer". https://numbermatics.com/n/42132456038400/
The information we have on file for 42132456038400 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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