13950758428006400
13,950,758,428,006,400 is an even composite number composed of seven prime numbers multiplied together.
13950758428006400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 13950758428006400:
211 × 52 × 72 × 112 × 13 × 181 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 11 × 11 × 13 × 181 × 19531)See below for interesting mathematical facts about the number 13950758428006400 from the Numbermatics database.
Names of 13950758428006400
- Cardinal: 13950758428006400 can be written as Thirteen quadrillion, nine hundred fifty trillion, seven hundred fifty-eight billion, four hundred twenty-eight million, six thousand, four hundred.
Scientific notation
- Scientific notation: 1.39507584280064 × 1016
Factors of 13950758428006400
Divisors of 13950758428006400
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 40 44 49 50 52 55 56 64 65 70 77 80 88 91 98 100 104 110 112 121 128 130 140 143 154 160 175 176 181 182 196 200 208 220 224 242 245 256 260 275 280 286 308 320 325 350 352 362 364 385 392 400 416 440 448 455 484 490 512 520 539 550 560 572 605 616 637 640 650 700 704 715 724 728 770 784 800 832 847 880 896 905 910 968 980 1001 1024 1040 1078 1100 1120 1144 1210 1225 1232 1267 1274 1280 1300 1400 1408 1430 1448 1456 1540 1568 1573 1600 1664 1694 1760 1792 1810 1820 1925 1936 1960 1991 2002 2048 2080 2156 2200 2240 2275 2288 2353 2420 2450 2464 2534 2548 2560 2600 2695 2800 2816 2860 2896 2912 3025 3080 3136 3146 3185 3200 3328 3388 3520 3575 3584 3620 3640 3850 3872 3920 3982 4004 4160 4235 4312 4400 4480 4525 4550 4576 4706 4840 4900 4928 5005 5068 5096 5120 5200 5390 5600 5632 5720 5792 5824 5929 6050 6160 6272 6292 6335 6370 6400 6656 6776 7007 7040 7150 7168 7240 7280 7700 7744 7840 7865 7964 8008 8320 8470 8624 8800 8869 8960 9050 9100 9152 9412 9680 9800 9856 9955 10010 10136 10192 10240 10400 10780 11011 11200 11264 11440 11584 11648 11765 11858 12100 12320 12544 12584 12670 12740 12800 13312 13475 13552 13937 14014 14080 14300 14336 14480 14560 15400 15488 15680 15730 15925 15928 16016 16471 16640 16940 17248 17600 17738 17920 18100 18200 18304 18824 19360 19531 19600 19712 19910 20020 20272 20384 20800 21175 21560 21901 22022 22400 22528 22880 23168 23296 23530 23716 24200 24640 25025 25088 25168 25340 25480 25600 25883 26624 26950 27104 27874 28028 28160 28600 28960 29120 29645 30800 30976 31360 31460 31675 31850 31856 32032 32942 33280 33880 34496 35035 35200 35476 35840 36200 36400 36608 37648 38720 39062 39200 39325 39424 39820 40040 40544 40768 41600 42350 43120 43802 44044 44345 44800 45760 46336 46592 47060 47432 48400 49280 49775 50050 50176 50336 50680 50960 51200 51766 53900 54208 55055 55748 56056 56320 57200 57920 58240 58825 59290 61600 61952 62720 62920 63350 63700 63712 64064 65884 66560 67760 68992 69685 70070 70400 70952 71680 72400 72800 73216 75296 77077 77440 78124 78400 78650 78848 79640 80080 81088 81536 82355 83200 84700 86240 87604 88088 88690 89600 91520 92672 93184 94120 94864 96800 97559 97655 98560 99550 100100 100352 100672 101360 101920 103532 107800 108416 109505 110110 111496 112112 112640 114400 115297 115840 116480 117650 118580 123200 123904 125440 125840 126700 127400 127424 128128 129415 131768 133120 135520 136717 137984 139370 140140 140800 141904 144800 145600 146432 148225 150592 153307 154154 154880 156248 156800 157300 157696 159280 160160 162176 163072 164710 166400 169400 172480 175175 175208 176176 177380 179200 181181 183040 185344 186368 188240 189728 193600 195118 195310 197120 199100 200200 201344 202720 203840 207064 214841 215600 216832 219010 220220 221725 222992 224224 228800 230594 231680 232960 235300 237160 246400 247808 250880 251680 253400 253903 254800 254848 256256 258830 263536 271040 273434 275275 275968 278740 280280 281600 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385380067072 389251072210 393244966400 396328364432 398194903040 404416698400 411769729280 419193462380 423494579200 435525675200 437931894400 438014393344 440434362368 443444323840 444858368240 450373141400 452946702208 470593976320 479078242720 481725083840 487788756224 495410455540 497743628800 500493593600 514712161600 517653373952 523991827975 538993100800 544951501094 547517991680 550542952960 554305404800 556072960300 557472864256 566183377760 576477620992 588242470400 592892410880 598847803400 602156354800 609735945280 619263069425 622801715536 633491891200 636991846400 647066717440 658831566848 670709539808 684397489600 688178691200 696841080320 700691031040 707729222200 711773389184 714287974400 720597026240 741115513600 762169931600 766525188352 770760134144 778502144420 786489932800 792656728864 808833396800 823539458560 838386924760 846989158400 871051350400 875863788800 876028786688 886888647680 889716736480 900746282800 905893404416 958156485440 963450167680 973127680525 975577512448 990820911080 995487257600 1000987187200 1029424323200 1035306747904 1047983655950 1089903002188 1095035983360 1101085905920 1108610809600 1112145920600 1132366755520 1152955241984 1176484940800 1185784821760 1197695606800 1204312709600 1219471890560 1238526138850 1245603431072 1266983782400 1294133434880 1341419079616 1362378752735 1368794979200 1376357382400 1393682160640 1401382062080 1415458444400 1423546778368 1441194052480 1482231027200 1524339863200 1533050376704 1541520268288 1557004288840 1572979865600 1585313457728 1617666793600 1647078917120 1676773849520 1742102700800 1751727577600 1773777295360 1779433472960 1801492565600 1811786808832 1916312970880 1926900335360 1946255361050 1951155024896 1981641822160 1990974515200 2058848646400 2095967311900 2179806004376 2190071966720 2202171811840 2217221619200 2224291841200 2264733511040 2305910483968 2352969881600 2395391213600 2408625419200 2438943781120 2477052277700 2491206862144 2588266869760 2682838159232 2724757505470 2737589958400 2752714764800 2787364321280 2830916888800 2847093556736 2882388104960 2964462054400 3048679726400 3066100753408 3083040536576 3114008577680 3170626915456 3235333587200 3294157834240 3353547699040 3484205401600 3503455155200 3558866945920 3602985131200 3623573617664 3832625941760 3853800670720 3892510722100 3902310049792 3963283644320 4117697292800 4191934623800 4359612008752 4380143933440 4434443238400 4448583682400 4529467022080 4611820967936 4790782427200 4817250838400 4877887562240 4954104555400 4982413724288 5176533739520 5365676318464 5449515010940 5475179916800 5505429529600 5661833777600 5694187113472 5764776209920 5928924108800 6097359452800 6132201506816 6228017155360 6341253830912 6470667174400 6707095398080 6811893763675 6968410803200 7006910310400 7117733891840 7205970262400 7247147235328 7665251883520 7707601341440 7785021444200 7926567288640 8235394585600 8383869247600 8719224017504 8868886476800 8897167364800 9058934044160 9581564854400 9634501676800 9755775124480 9908209110800 9964827448576 10731352636928 10899030021880 10950359833600 11010859059200 11323667555200 11388374226944 11529552419840 12194718905600 12456034310720 12682507661824 12941334348800 13414190796160 13623787527350 13936821606400 14235467783680 14411940524800 15330503767040 15415202682880 15570042888400 15853134577280 16470789171200 16767738495200 17438448035008 17794334729600 18117868088320 19163129708800 19269003353600 19511550248960 19816418221600 19929654897152 21462705273856 21798060043760 21900719667200 22647335110400 23059104839680 24389437811200 24912068621440 25365015323648 25882668697600 26828381592320 27247575054700 28470935567360 28823881049600 30661007534080 31140085776800 31706269154560 33535476990400 34876896070016 35588669459200 36235736176640 38326259417600 38538006707200 39632836443200 39859309794304 42925410547712 43596120087520 45294670220800 48778875622400 49824137242880 50730030647296 53656763184640 54495150109400 56941871134720 57647762099200 62280171553600 63412538309120 67070953980800 69753792140032 71177338918400 76652518835200 77076013414400 79265672886400 79718619588608 87192240175040 90589340441600 97557751244800 99648274485760 107313526369280 108990300218800 115295524198400 124560343107200 126825076618240 134141907961600 139507584280064 142354677836800 153305037670400 158531345772800 174384480350080 181178680883200 199296548971520 214627052738560 217980600437600 249120686214400 253650153236480 268283815923200 279015168560128 284709355673600 317062691545600 348768960700160 398593097943040 435961200875200 498241372428800 536567631846400 558030337120256 634125383091200 697537921400320 871922401750400 996482744857600 1073135263692800 1268250766182400 1395075842800640 1743844803500800 1992965489715200 2790151685601280 3487689607001600 6975379214003200 13950758428006400
- Sum of all divisors σ(n): 47894785859859120
- Sum of proper divisors (its aliquot sum) s(n): 33944027431852720
- 13950758428006400 is an abundant number, because the sum of its proper divisors (33944027431852720) is greater than itself. Its abundance is 19993269003846320
Bases of 13950758428006400
- Binary: 1100011001000000100100000100000111001011011000000000002
- Hexadecimal: 0x3190241072D800
- Base-36: 3TD4PY24JY8
Squares and roots of 13950758428006400
- 13950758428006400 squared (139507584280064002) is 194623660716591600891878440960000
- 13950758428006400 cubed (139507584280064003) is 2715147675031448387004971663219928432902144000000
-
The
square root of 13950758428006400 is 118113328.7483101967 -
The
cube root of 13950758428006400 is 240731.3249698783
Scales and comparisons
How big is 13950758428006400?- 13,950,758,428,006,400 seconds is equal to 443,590,965 years, 25 weeks, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 13,950,758,428,006,400 would take you about one billion, three hundred thirty million, seven hundred seventy-two thousand, eight hundred ninety-six 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 13950758428006400 cubic inches would be around 20060.9 feet tall.
Recreational maths with 13950758428006400
- 13950758428006400 backwards is 00460082485705931
- The number of decimal digits it has is: 17
- The sum of 13950758428006400's digits is 62
- More coming soon!
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"Number 13950758428006400 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 13950758428006400 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/13950758428006400/
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The information we have on file for 13950758428006400 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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