34138408712320
34,138,408,712,320 is an even composite number composed of eight prime numbers multiplied together.
34138408712320 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 34138408712320:
27 × 5 × 11 × 17 × 192 × 31 × 71 × 359
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 17 × 19 × 19 × 31 × 71 × 359)See below for interesting mathematical facts about the number 34138408712320 from the Numbermatics database.
Names of 34138408712320
- Cardinal: 34138408712320 can be written as Thirty-four trillion, one hundred thirty-eight billion, four hundred eight million, seven hundred twelve thousand, three hundred twenty.
Scientific notation
- Scientific notation: 3.413840871232 × 1013
Factors of 34138408712320
Divisors of 34138408712320
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 5 8 10 11 16 17 19 20 22 31 32 34 38 40 44 55 62 64 68 71 76 80 85 88 95 110 124 128 136 142 152 155 160 170 176 187 190 209 220 248 272 284 304 310 320 323 340 341 352 355 359 361 374 380 418 440 496 527 544 568 589 608 620 640 646 680 682 704 710 718 722 748 760 781 836 880 935 992 1045 1054 1088 1136 1178 1207 1216 1240 1292 1349 1360 1364 1408 1420 1436 1444 1496 1520 1562 1615 1672 1705 1760 1795 1805 1870 1984 2090 2108 2176 2201 2272 2356 2414 2432 2480 2584 2635 2698 2720 2728 2840 2872 2888 2945 2992 3040 3124 3230 3344 3410 3520 3553 3590 3610 3740 3905 3949 3968 3971 4180 4216 4402 4544 4712 4828 4960 5168 5270 5396 5440 5456 5680 5744 5776 5797 5890 5984 6035 6080 6103 6137 6248 6460 6479 6688 6745 6820 6821 7040 7106 7180 7220 7480 7810 7898 7942 8360 8432 8804 9088 9424 9656 9920 10013 10336 10540 10792 10880 10912 11005 11129 11191 11360 11488 11552 11594 11780 11968 12070 12160 12206 12274 12496 12920 12958 13277 13376 13490 13640 13642 14212 14360 14440 14839 14960 15620 15796 15884 16720 16864 17608 17765 18848 19312 19745 19840 19855 20026 20672 21080 21584 21824 22010 22258 22382 22720 22933 22976 23104 23188 23560 23936 24140 24211 24412 24548 24992 25489 25631 25840 25916 26554 26752 26980 27280 27284 28424 28720 28880 28985 29678 29920 30515 30685 31240 31592 31768 32395 33440 33728 34105 35216 35530 37417 37696 38624 39490 39710 40052 41344 41819 42160 43168 43648 44020 44516 44764 45440 45866 45952 46208 46376 47120 48280 48422 48824 49096 49984 50065 50978 51262 51680 51832 53108 53960 54560 54568 55645 55955 56848 57440 57760 57970 59356 59840 61030 61370 62480 63184 63536 64790 66385 66880 67133 67456 67507 68210 70432 71060 74195 74834 75031 75392 77248 78980 79420 80104 83638 84320 86336 88040 89032 89528 91732 92752 94240 96560 96844 97648 98192 99968 100130 101956 102524 103360 103664 106216 107920 109120 109136 110143 111290 111910 113696 114665 114880 115520 115940 115957 118712 119680 121055 122060 122419 122740 123101 124960 126368 127072 127445 128155 129580 129599 132770 133760 134266 135014 136420 140864 142120 148390 149668 150062 154496 157960 158840 160208 167276 168640 172672 176080 178064 179056 183464 185504 187085 188480 189193 190247 193120 193688 195296 196384 200260 203912 205048 206720 207328 209095 211451 212432 215840 218240 218272 220286 222580 223820 227392 229330 229760 231040 231880 231914 237424 242110 244120 244838 245480 246202 249920 252263 252736 254144 254890 256310 259160 259198 265540 268532 270028 272840 280379 281728 281941 284240 296780 299336 300124 315920 317680 320416 334552 335665 337280 337535 352160 356128 358112 366928 371008 374170 375155 376960 378386 380494 386240 387376 390592 392768 400520 407824 410096 411587 414656 418190 422902 424864 431680 433313 435727 436544 440572 445160 447640 454784 458660 460009 463760 463828 474848 484220 484291 488240 489676 490960 492404 499840 504526 505472 508288 509780 512620 518320 518396 531080 537064 540056 545680 550715 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8742230144 9127916768 9456622912 9509306048 9608333440 9698411566 10011263552 10208854280 10569166784 10927787680 11229739708 11409895960 11591989376 11820778640 11886632560 12020566448 12514079440 12550885556 12653227840 12955752832 13211458480 13765487384 14037174635 14141842880 14489986720 15025708060 15510408320 15688606945 16194691040 16334166848 17206859230 18255833536 18913245824 19018612096 19396823132 20022527104 20417708560 21138333568 21855575360 22459479416 22819791920 23641557280 23773265120 24041132896 24246028915 25028158880 25101771112 25306455680 26422916960 27530974768 28074349270 28283685760 28979973440 30051416120 31377213890 32389382080 32668333696 34413718460 36511667072 38793646264 40835417120 43711150720 44918958832 45639583840 47283114560 47546530240 48082265792 48492057830 50056317760 50203542224 52845833920 53341263613 55061949536 56148698540 57959946880 60102832240 62754427780 64778764160 68827436920 77587292528 81670834240 89837917664 91279167680 94566229120 95093060480 96164531584 96984115660 100112635520 100407084448 105691667840 106682527226 110123899072 112297397080 120205664480 125508855560 137654873840 155174585056 163341668480 179675835328 182558335360 193968231320 200814168896 213365054452 220247798144 224594794160 240411328960 251017711120 266706318065 275309747680 310349170112 359351670656 387936462640 401628337792 426730108904 449189588320 480822657920 502035422240 533412636130 550619495360 620698340224 775872925280 853460217808 898379176640 1004070844480 1066825272260 1101238990720 1551745850560 1706920435616 1796758353280 2008141688960 2133650544520 3103491701120 3413840871232 4267301089040 6827681742464 8534602178080 17069204356160 34138408712320
- Sum of all divisors σ(n): 104437179187200
- Sum of proper divisors (its aliquot sum) s(n): 70298770474880
- 34138408712320 is an abundant number, because the sum of its proper divisors (70298770474880) is greater than itself. Its abundance is 36160361762560
Bases of 34138408712320
- Binary: 1111100001100011101111011100101111000100000002
- Hexadecimal: 0x1F0C77B97880
- Base-36: C3MYV4B5S
Squares and roots of 34138408712320
- 34138408712320 squared (341384087123202) is 1165430949409406080519782400
- 34138408712320 cubed (341384087123203) is 39785958076925437697773322918270599168000
-
The
square root of 34138408712320 is 5842808.2898825287 -
The
cube root of 34138408712320 is 32440.0183488031
Scales and comparisons
How big is 34138408712320?- 34,138,408,712,320 seconds is equal to 1,085,495 years, 41 weeks, 4 days, 4 hours, 58 minutes, 40 seconds.
-
To count from 1 to 34,138,408,712,320 would take you about two million, seven hundred thirteen thousand, seven hundred thirty-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 34138408712320 cubic inches would be around 2703.3 feet tall.
Recreational maths with 34138408712320
- 34138408712320 backwards is 02321780483143
- The number of decimal digits it has is: 14
- The sum of 34138408712320's digits is 46
- More coming soon!
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The information we have on file for 34138408712320 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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