34214428366848000
34,214,428,366,848,000 is an even composite number composed of five prime numbers multiplied together.
34214428366848000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 34214428366848000:
214 × 35 × 53 × 17 × 20112
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 2011 × 2011)See below for interesting mathematical facts about the number 34214428366848000 from the Numbermatics database.
Names of 34214428366848000
- Cardinal: 34214428366848000 can be written as Thirty-four quadrillion, two hundred fourteen trillion, four hundred twenty-eight billion, three hundred sixty-six million, eight hundred forty-eight thousand.
Scientific notation
- Scientific notation: 3.4214428366848 × 1016
Factors of 34214428366848000
Divisors of 34214428366848000
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 64 68 72 75 80 81 85 90 96 100 102 108 120 125 128 135 136 144 150 153 160 162 170 180 192 200 204 216 225 240 243 250 255 256 270 272 288 300 306 320 324 340 360 375 384 400 405 408 425 432 450 459 480 486 500 510 512 540 544 576 600 612 640 648 675 680 720 750 765 768 800 810 816 850 864 900 918 960 972 1000 1020 1024 1080 1088 1125 1152 1200 1215 1224 1275 1280 1296 1350 1360 1377 1440 1500 1530 1536 1600 1620 1632 1700 1728 1800 1836 1920 1944 2000 2011 2025 2040 2048 2125 2160 2176 2250 2295 2304 2400 2430 2448 2550 2560 2592 2700 2720 2754 2880 3000 3060 3072 3200 3240 3264 3375 3400 3456 3600 3672 3825 3840 3888 4000 4022 4050 4080 4096 4131 4250 4320 4352 4500 4590 4608 4800 4860 4896 5100 5120 5184 5400 5440 5508 5760 6000 6033 6075 6120 6144 6375 6400 6480 6528 6750 6800 6885 6912 7200 7344 7650 7680 7776 8000 8044 8100 8160 8192 8262 8500 8640 8704 9000 9180 9216 9600 9720 9792 10055 10125 10200 10240 10368 10800 10880 11016 11475 11520 12000 12066 12150 12240 12288 12750 12800 12960 13056 13500 13600 13770 13824 14400 14688 15300 15360 15552 16000 16088 16200 16320 16384 16524 17000 17280 17408 18000 18099 18360 18432 19125 19200 19440 19584 20110 20250 20400 20480 20655 20736 21600 21760 22032 22950 23040 24000 24132 24300 24480 24576 25500 25600 25920 26112 27000 27200 27540 27648 28800 29376 30165 30375 30600 30720 31104 32000 32176 32400 32640 33048 34000 34187 34425 34560 34816 36000 36198 36720 36864 38250 38400 38880 39168 40220 40500 40800 40960 41310 41472 43200 43520 44064 45900 46080 48000 48264 48600 48960 49152 50275 51000 51200 51840 52224 54000 54297 54400 55080 55296 57375 57600 58752 60330 60750 61200 61440 62208 64000 64352 64800 65280 66096 68000 68374 68850 69120 69632 72000 72396 73440 73728 76500 76800 77760 78336 80440 81000 81600 81920 82620 82944 86400 87040 88128 90495 91800 92160 96000 96528 97200 97920 100550 102000 102400 102561 103275 103680 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4950004104000 4969415884800 5031533583360 5068804202496 5241180816000 5280004377600 5346004432320 5366969155584 5568754617000 5590592870400 5632004669440 5671213056000 5702404727808 5940004924800 6211769856000 6289416979200 6336005253120 6600005472000 6682505540400 6708711444480 6988241088000 7040005836800 7128005909760 7425006156000 7454123827200 7603206303744 7861771224000 7920006566400 8050453733376 8282359808000 8353131925500 8385889305600 8448007004160 8506819584000 8553607091712 8800007296000 8910007387200 8944948592640 9317654784000 9504007879680 9900008208000 10063067166720 10137608404992 10482361632000 10560008755200 10692008864640 11137509234000 11181185740800 11404809455616 11880009849600 12423539712000 12578833958400 12672010506240 13200010944000 13365011080800 13417422888960 13976482176000 14080011673600 14256011819520 14850012312000 14908247654400 15206412607488 15723542448000 15840013132800 16100907466752 16706263851000 16771778611200 16896014008320 17013639168000 17107214183424 17600014592000 17820014774400 18635309568000 19008015759360 19800016416000 20126134333440 20964723264000 21120017510400 21384017729280 22275018468000 22362371481600 22809618911232 23760019699200 24847079424000 25157667916800 25344021012480 26400021888000 26730022161600 26834845777920 27952964352000 28160023347200 28512023639040 29700024624000 30412825214976 31447084896000 31680026265600 33412527702000 33543557222400 34214428366848 35200029184000 35640029548800 37270619136000 38016031518720 39600032832000 40252268666880 41929446528000 42240035020800 42768035458560 44550036936000 44724742963200 45619237822464 47520039398400 50315335833600 50688042024960 52800043776000 53460044323200 55905928704000 57024047278080 59400049248000 62894169792000 63360052531200 66825055404000 67087114444800 68428856733696 70400058368000 71280059097600 74541238272000 76032063037440 79200065664000 80504537333760 83858893056000 84480070041600 85536070917120 89100073872000 91238475644928 95040078796800 100630671667200 105600087552000 106920088646400 111811857408000 114048094556160 118800098496000 125788339584000 126720105062400 133650110808000 134174228889600 136857713467392 140800116736000 142560118195200 152064126074880 158400131328000 167717786112000 171072141834240 178200147744000 190080157593600 201261343334400 211200175104000 213840177292800 223623714816000 228096189112320 237600196992000 251576679168000 253440210124800 267300221616000 273715426934784 285120236390400 316800262656000 335435572224000 342144283668480 356400295488000 380160315187200 402522686668800 422400350208000 427680354585600 456192378224640 475200393984000 503153358336000 534600443232000 570240472780800 633600525312000 670871144448000 684288567336960 712800590976000 760320630374400 855360709171200 950400787968000 1006306716672000 1069200886464000 1140480945561600 1267201050624000 1368577134673920 1425601181952000 1710721418342400 1900801575936000 2012613433344000 2138401772928000 2280961891123200 2851202363904000 3421442836684800 3801603151872000 4276803545856000 5702404727808000 6842885673369600 8553607091712000 11404809455616000 17107214183424000 34214428366848000
- Sum of all divisors σ(n): 135511241010923232
- Sum of proper divisors (its aliquot sum) s(n): 101296812644075232
- 34214428366848000 is an abundant number, because the sum of its proper divisors (101296812644075232) is greater than itself. Its abundance is 67082384277227232
Bases of 34214428366848000
- Binary: 11110011000110111010111011000001111111111000000000000002
- Hexadecimal: 0x798DD760FFC000
- Base-36: 9CW03EJ9C00
Squares and roots of 34214428366848000
- 34214428366848000 squared (342144283668480002) is 1170627108470173100465455104000000
- 34214428366848000 cubed (342144283668480003) is 40052337347043141181478141702591785992192000000000
-
The
square root of 34214428366848000 is 184971425.8117939685 -
The
cube root of 34214428366848000 is 324640.7971982905
Scales and comparisons
How big is 34214428366848000?- 34,214,428,366,848,000 seconds is equal to 1,087,912,989 years, 46 weeks, 2 days.
-
To count from 1 to 34,214,428,366,848,000 would take you about three billion, two hundred sixty-three million, seven hundred thirty-eight thousand, nine hundred sixty-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 34214428366848000 cubic inches would be around 27053.4 feet tall.
Recreational maths with 34214428366848000
- 34214428366848000 backwards is 00084866382441243
- The number of decimal digits it has is: 17
- The sum of 34214428366848000's digits is 63
- More coming soon!
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The information we have on file for 34214428366848000 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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