42326506935200
42,326,506,935,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 42326506935200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 648 divisors.
42326506935200 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 42326506935200:
25 × 52 × 17 × 53 × 792 × 972
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 53 × 79 × 79 × 97 × 97)See below for interesting mathematical facts about the number 42326506935200 from the Numbermatics database.
Names of 42326506935200
- Cardinal: 42326506935200 can be written as Forty-two trillion, three hundred twenty-six billion, five hundred six million, nine hundred thirty-five thousand, two hundred.
Scientific notation
- Scientific notation: 4.23265069352 × 1013
Factors of 42326506935200
Divisors of 42326506935200
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 40 50 53 68 79 80 85 97 100 106 136 158 160 170 194 200 212 265 272 316 340 388 395 400 424 425 485 530 544 632 680 776 790 800 848 850 901 970 1060 1264 1325 1343 1360 1552 1580 1649 1696 1700 1802 1940 1975 2120 2425 2528 2650 2686 2720 3104 3160 3298 3400 3604 3880 3950 4187 4240 4505 4850 5141 5300 5372 6241 6320 6596 6715 6800 7208 7663 7760 7900 8245 8374 8480 9010 9409 9700 10282 10600 10744 12482 12640 13192 13430 13600 14416 15326 15520 15800 16490 16748 18020 18818 19400 20564 20935 21200 21488 22525 24964 25705 26384 26860 28832 30652 31205 31600 32980 33496 33575 36040 37636 38315 38800 41128 41225 41870 42400 42976 45050 47045 49928 51410 52768 53720 61304 62410 63200 65960 66992 67150 71179 72080 75272 76630 77600 82256 82450 83740 87397 90100 94090 99856 102820 104675 106097 107440 122608 124820 128525 130271 131920 133984 134300 142358 144160 150544 153260 156025 159953 164512 164900 167480 174794 180200 188180 191575 199712 205640 209350 212194 214880 235225 245216 249640 257050 260542 263840 268600 284716 301088 306520 312050 319906 329800 330773 334960 349588 355895 360400 376360 383150 406139 411280 418700 424388 436985 470450 498677 499280 514100 521084 530485 537200 569432 605377 613040 624100 639812 651355 659600 661546 669920 699176 711790 720800 743311 752720 766300 799765 812278 822560 837400 848776 873970 940900 997354 998560 1028200 1042168 1060970 1074400 1138864 1210754 1226080 1248200 1279624 1302710 1319200 1323092 1398352 1423580 1486622 1505440 1532600 1599530 1624556 1653865 1674800 1697552 1747940 1779475 1881800 1994708 2030695 2056400 2084336 2121940 2184925 2277728 2421508 2493385 2496400 2559248 2605420 2646184 2652425 2796704 2847160 2973244 3026885 3065200 3199060 3249112 3256775 3307730 3349600 3395104 3495880 3558950 3716555 3763600 3989416 3998825 4061390 4112800 4168672 4243880 4369850 4843016 4986770 4992800 5118496 5210840 5292368 5304850 5623141 5694320 5946488 6053770 6130400 6398120 6498224 6513550 6615460 6904363 6991760 7117900 7433110 7527200 7978832 7997650 8122780 8269325 8477509 8487760 8739700 9686032 9973540 10153475 10291409 10421680 10584736 10609700 11246282 11388640 11892976 12107540 12466925 12636287 12796240 12996448 13027100 13230920 13808726 13983520 14235800 14866220 15134425 15957664 15995300 16245560 16538650 16955018 16975520 17479400 18582775 19372064 19947080 20306950 20582818 20843360 21219400 22492564 23785952 24215080 24933850 25272574 25592480 26054200 26461840 27617452 28115705 28471600 29732440 30268850 31990600 32084981 32491120 33077300 33910036 34521815 34958800 37165550 39395483 39894160 40613900 41165636 42387545 42438800 44985128 48430160 49867700 50545148 51457045 52108400 52923680 55234904 56231410 56943200 58721569 59464880 60537700 63181435 63981200 64169962 64982240 66154600 67820072 69043630 69917600 74331100 78790966 79788320 81227800 82331272 84775090 84877600 89970256 96860320 99735400 101090296 102914090 104216800 110469808 112462820 117443138 118929760 121075400 126362870 127962400 128339924 132309200 135640144 138087260 140578525 148662200 157581932 160424905 162455600 164662544 169550180 172609075 179940512 196977415 199470800 202180592 205828180 211937725 220939616 224925640 234886276 242150800 252725740 256679848 257285225 264618400 271280288 276174520 281157050 293607845 297324400 315163864 315907175 320849810 324911200 329325088 339100360 345218150 393954830 398941600 404361184 411656360 423875450 449851280 469772552 484301600 505451480 513359696 514570450 545444677 552349040 562314100 587215690 594648800 630327728 631814350 641699620 669723211 678200720 690436300 787909660 802124525 823312720 847750900 899702560 939545104 984887075 998266673 1010902960 1026719392 1029140900 1090889354 1104698080 1124628200 1174431380 1260655456 1263628700 1283399240 1339446422 1356401440 1380872600 1468039225 1575819320 1604249050 1646625440 1695501800 1879090208 1969774150 1996533346 2021805920 2058281800 2181778708 2249256400 2348862760 2527257400 2566798480 2678892844 2727223385 2761745200 2936078450 3112243157 3151638640 3208498100 3348616055 3391003600 3939548300 3993066692 4116563600 4363557416 4498512800 4697725520 4991333365 5054514800 5133596960 5357785688 5454446770 5523490400 5872156900 6224486314 6303277280 6416996200 6697232110 6782007200 7879096600 7986133384 8233127200 8727114832 9395451040 9982666730 10109029600 10715571376 10908893540 11744313800 12448972628 12833992400 13394464220 13636116925 15561215785 15758193200 15972266768 16743080275 17454229664 19965333460 21431142752 21817787080 23488627600 24897945256 24956666825 25667984800 26788928440 27272233850 31122431570 31516386400 31944533536 33486160550 39930666920 43635574160 46977255200 49795890512 49913333650 52908133669 53577856880 54544467700 62244863140 66972321100 77806078925 79861333840 87271148320 99591781024 99826667300 105816267338 107155713760 109088935400 124489726280 133944642200 155612157850 159722667680 199653334600 211632534676 218177870800 248979452560 264540668345 267889284400 311224315700 399306669200 423265069352 436355741600 497958905120 529081336690 535778568800 622448631400 798613338400 846530138704 1058162673380 1244897262800 1322703341725 1693060277408 2116325346760 2489794525600 2645406683450 4232650693520 5290813366900 8465301387040 10581626733800 21163253467600 42326506935200
- Sum of all divisors σ(n): 114076921430052
- Sum of proper divisors (its aliquot sum) s(n): 71750414494852
- 42326506935200 is an abundant number, because the sum of its proper divisors (71750414494852) is greater than itself. Its abundance is 29423907559652
Bases of 42326506935200
- Binary: 10011001111110111010000110100100010011101000002
- Hexadecimal: 0x267EE86913A0
- Base-36: F04J1E2ZK
Squares and roots of 42326506935200
- 42326506935200 squared (423265069352002) is 1791533189335533696999040000
- 42326506935200 cubed (423265069352003) is 75829341963051441705823161987742208000000
-
The
square root of 42326506935200 is 6505882.4870420155 -
The
cube root of 42326506935200 is 34850.1091811675
Scales and comparisons
How big is 42326506935200?- 42,326,506,935,200 seconds is equal to 1,345,851 years, 51 weeks, 5 days, 13 hours, 33 minutes, 20 seconds.
-
To count from 1 to 42,326,506,935,200 would take you about three million, three hundred sixty-four thousand, six hundred twenty-nine 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 42326506935200 cubic inches would be around 2904.2 feet tall.
Recreational maths with 42326506935200
- 42326506935200 backwards is 00253960562324
- The number of decimal digits it has is: 14
- The sum of 42326506935200's digits is 47
- More coming soon!
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The information we have on file for 42326506935200 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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