34138638743040
34,138,638,743,040 is an even composite number composed of seven prime numbers multiplied together.
What does the number 34138638743040 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1920 divisors.
34138638743040 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 34138638743040:
29 × 35 × 5 × 13 × 19 × 41 × 5419
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 19 × 41 × 5419)See below for interesting mathematical facts about the number 34138638743040 from the Numbermatics database.
Names of 34138638743040
- Cardinal: 34138638743040 can be written as Thirty-four trillion, one hundred thirty-eight billion, six hundred thirty-eight million, seven hundred forty-three thousand and forty.
Scientific notation
- Scientific notation: 3.413863874304 × 1013
Factors of 34138638743040
Divisors of 34138638743040
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 26 27 30 32 36 38 39 40 41 45 48 52 54 57 60 64 65 72 76 78 80 81 82 90 95 96 104 108 114 117 120 123 128 130 135 144 152 156 160 162 164 171 180 190 192 195 205 208 216 228 234 240 243 246 247 256 260 270 285 288 304 312 320 324 328 342 351 360 369 380 384 390 405 410 416 432 456 468 480 486 492 494 512 513 520 533 540 570 576 585 608 615 624 640 648 656 684 702 720 738 741 760 768 779 780 810 820 832 855 864 912 936 960 972 984 988 1026 1040 1053 1066 1080 1107 1140 1152 1170 1215 1216 1230 1235 1248 1280 1296 1312 1368 1404 1440 1476 1482 1520 1536 1539 1558 1560 1599 1620 1640 1664 1710 1728 1755 1824 1845 1872 1920 1944 1968 1976 2052 2080 2106 2132 2160 2214 2223 2280 2304 2337 2340 2430 2432 2460 2470 2496 2560 2565 2592 2624 2665 2736 2808 2880 2952 2964 3040 3078 3116 3120 3159 3198 3240 3280 3321 3328 3420 3456 3510 3648 3690 3705 3744 3840 3888 3895 3936 3952 4104 4160 4212 4264 4320 4428 4446 4560 4608 4617 4674 4680 4797 4860 4864 4920 4940 4992 5130 5184 5248 5265 5330 5419 5472 5535 5616 5760 5904 5928 6080 6156 6232 6240 6318 6396 6480 6560 6642 6656 6669 6840 6912 7011 7020 7296 7380 7410 7488 7680 7695 7776 7790 7872 7904 7995 8208 8320 8424 8528 8640 8856 8892 9120 9234 9348 9360 9594 9720 9728 9840 9880 9963 9984 10127 10260 10368 10496 10530 10660 10838 10944 11070 11115 11232 11520 11685 11808 11856 12160 12312 12464 12480 12636 12792 12960 13120 13284 13338 13680 13824 14022 14040 14391 14592 14760 14820 14976 15390 15552 15580 15744 15795 15808 15990 16257 16416 16605 16640 16848 17056 17280 17712 17784 18240 18468 18696 18720 19188 19440 19680 19760 19926 19968 20007 20254 20520 20736 20992 21033 21060 21320 21676 21888 22140 22230 22464 23040 23085 23370 23616 23712 23985 24320 24624 24928 24960 25272 25584 25920 26240 26568 26676 27095 27360 28044 28080 28782 29184 29520 29640 29952 30381 30780 31104 31160 31488 31590 31616 31980 32514 32832 33210 33280 33345 33696 34112 34560 35055 35424 35568 36480 36936 37392 37440 38376 38880 39360 39520 39852 40014 40508 41040 41472 42066 42120 42640 43173 43352 43776 44280 44460 44928 46170 46740 47232 47424 47970 48640 48771 49248 49815 49856 49920 50544 50635 51168 51840 52480 53136 53352 54190 54720 56088 56160 57564 59040 59280 59904 60021 60762 61560 62208 62320 62976 63099 63180 63232 63960 65028 65664 66420 66690 67392 68224 69120 70110 70447 70848 71136 71955 72960 73872 74784 74880 76752 77760 78720 79040 79704 80028 81016 81285 82080 84132 84240 85280 86346 86704 87552 88560 88920 89856 91143 92340 93480 94464 94848 95940 97542 98496 99630 99712 99840 100035 101088 101270 102336 102961 103680 104960 105165 106272 106704 108380 109440 112176 112320 115128 118080 118560 120042 121524 123120 124416 124640 126198 126360 126464 127920 129519 130056 131328 132840 133380 134784 136448 140220 140894 141696 142272 143910 145920 146313 147744 149568 149760 151905 153504 155520 157440 158080 159408 160056 162032 162570 164160 168264 168480 170560 172692 173408 177120 177840 179712 182286 184680 186960 188928 189297 189696 191880 195084 196992 199260 199424 200070 202176 202540 204672 205922 207360 210330 211341 212544 213408 215865 216760 218880 222179 224352 224640 230256 236160 237120 240084 243048 243855 246240 249280 252396 252720 255840 259038 260112 262656 265680 266760 269568 272896 273429 280440 281788 283392 284544 287820 292626 295488 299136 299520 300105 303810 307008 308883 311040 314880 315495 316160 318816 320112 324064 325140 328320 336528 336960 341120 345384 346816 352235 354240 355680 364572 369360 373920 378594 379392 383760 390168 393984 398520 398848 400140 404352 405080 409344 411844 420660 422682 425088 426816 431730 433520 437760 438939 444358 448704 449280 455715 460512 472320 474240 480168 486096 487710 492480 498560 504792 505440 511680 514805 518076 520224 531360 533520 539136 546858 560880 563576 566784 569088 575640 585252 590976 598272 600210 607620 614016 617766 622080 630990 632320 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341266944 341933481 342372420 342654208 346599240 349989120 355833216 359929980 361393110 365197248 369705856 374561280 379926090 383925312 385485984 389924145 393737760 395370240 400312368 405254496 405774720 415919088 419986944 421381440 426583680 428317760 431915976 433671732 439025704 444791520 455911308 456496560 462132320 467908974 474444288 479906640 481857480 484600320 486929664 493903917 500390460 506568120 511900416 513981312 519898860 524983680 533749824 539894970 540339328 541032960 542089665 547795872 548782130 554558784 561841920 568778240 569889135 575887968 578228976 593055360 607881744 608662080 623878632 629980416 639875520 642476640 650507598 658538556 667187280 674210304 675424160 683866962 684744840 685308416 693198480 699978240 701863461 711666432 719859960 722786220 730394496 739411712 759852180 767850624 770971968 779848290 787475520 790740480 800624736 810508992 811549440 823173195 831838176 842762880 853167360 856635520 863831952 867343464 878051408 889583040 911822616 912993120 924264640 935817948 959813280 963714960 973859328 987807834 1000780920 1013136240 1023800832 1025800443 1027962624 1039797720 1049967360 1067499648 1079789940 1080678656 1084179330 1095591744 1097564260 1109117568 1123683840 1139778270 1151775936 1156457952 1169772435 1186110720 1215763488 1217324160 1247757264 1259960832 1279751040 1284953280 1301015196 1317077112 1334374560 1350848320 1367733924 1369489680 1386396960 1403726922 1423332864 1439719920 1445572440 1460788992 1478823424 1481711751 1519704360 1535701248 1541943936 1559696580 1574951040 1601249472 1621017984 1623098880 1626268995 1646346390 1663676352 1685525760 1706334720 1709667405 1713271040 1727663904 1734686928 1756102816 1779166080 1823645232 1825986240 1848529280 1871635896 1919626560 1927429920 1975615668 2001561840 2026272480 2051600886 2055925248 2079595440 2099934720 2134999296 2159579880 2161357312 2168358660 2191183488 2195128520 2218235136 2279556540 2303551872 2312915904 2339544870 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7116664320 7294580928 7303944960 7394117120 7408558755 7486543584 7678506240 7709719680 7902462672 8006247360 8105089920 8206403544 8318381760 8638319520 8673434640 8764733952 8780514080 8890270506 9118226160 9214207488 9251663616 9358179480 9726107904 9878078340 9982058112 10258004430 10279626240 10408121568 10536616896 10674996480 10806786560 10941871392 10955917440 11091175680 11229815376 11517759360 11564579520 11853694008 12157634880 12477572640 12809995776 13010151960 13170771120 13309410816 13335405759 13677339240 13821311232 13877495424 14037269220 14048822528 14589161856 14607889920 14817117510 14973087168 15357012480 15419439360 15804925344 16012494720 16210179840 16412807088 16636763520 17276639040 17346869280 17561028160 17780541012 18236452320 18503327232 18716358960 19452215808 19756156680 19964116224 20516008860 20816243136 21073233792 21349992960 21883742784 21911834880 22182351360 22225676265 22459630752 23035518720 23129159040 23707388016 24315269760 24955145280 26020303920 26341542240 26670811518 27354678480 27642622464 27754990848 28074538440 28097645056 29178323712 29634235020 29946174336 30838878720 31609850688 32024989440 32420359680 32825614176 33273527040 34553278080 34693738560 35122056320 35561082024 36472904640 37432717920 39512313360 39928232448 41032017720 41632486272 42146467584 43767485568 43823669760 44451352530 44919261504 46071037440 46258318080 47414776032 48630539520 49910290560 52040607840 52683084480 53341623036 54709356960 55509981696 56149076880 58356647424 59268470040 59892348672 63219701376 64049978880 65651228352 66547054080 66677028795 69106556160 69387477120 70244112640 71122164048 72945809280 74865435840 79024626720 82064035440 83264972544 84292935168 87534971136 88902705060 89838523008 92516636160 94829552064 97261079040 99820581120 104081215680 105366168960 106683246072 109418713920 112298153760 118536940080 119784697344 126439402752 131302456704 133354057590 138213112320 138774954240 140488225280 142244328096 145891618560 149730871680 158049253440 164128070880 166529945088 175069942272 177805410120 179677046016 189659104128 199641162240 208162431360 210732337920 213366492144 218837427840 224596307520 237073880160 252878805504 262604913408 266708115180 277549908480 284488656192 291783237120 299461743360 316098506880 328256141760 355610820240 359354092032 379318208256 416324862720 421464675840 426732984288 437674855680 449192615040 474147760320 525209826816 533416230360 568977312384 598923486720 632197013760 656512283520 711221640480 758636416512 832649725440 853465968576 875349711360 898385230080 948295520640 1066832460720 1137954624768 1264394027520 1313024567040 1422443280960 1706931937152 1796770460160 1896591041280 2133664921440 2275909249536 2626049134080 2844886561920 3413863874304 3793182082560 4267329842880 5689773123840 6827727748608 8534659685760 11379546247680 17069319371520 34138638743040
- Sum of all divisors σ(n): 142408160294400
- Sum of proper divisors (its aliquot sum) s(n): 108269521551360
- 34138638743040 is an abundant number, because the sum of its proper divisors (108269521551360) is greater than itself. Its abundance is 74130882808320
Bases of 34138638743040
- Binary: 1111100001100100001010110111101110110000000002
- Hexadecimal: 0x1F0C856F7600
- Base-36: C3N2O2O00
Squares and roots of 34138638743040
- 34138638743040 squared (341386387430402) is 1165446655227791711148441600
- 34138638743040 cubed (341386387430403) is 39786762337105871466755565098278846464000
-
The
square root of 34138638743040 is 5842827.9747943973 -
The
cube root of 34138638743040 is 32440.0912108599
Scales and comparisons
How big is 34138638743040?- 34,138,638,743,040 seconds is equal to 1,085,503 years, 5 weeks, 6 days, 14 hours, 24 minutes.
-
To count from 1 to 34,138,638,743,040 would take you about two million, seven hundred thirteen thousand, seven hundred fifty-seven 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 34138638743040 cubic inches would be around 2703.3 feet tall.
Recreational maths with 34138638743040
- 34138638743040 backwards is 04034783683143
- 34138638743040 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 34138638743040's digits is 54
- More coming soon!
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"Number 34138638743040 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 34138638743040 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/34138638743040/
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The information we have on file for 34138638743040 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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