138249864806400
138,249,864,806,400 is an even composite number composed of four prime numbers multiplied together.
What does the number 138249864806400 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1122 divisors.
138249864806400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, one hundred twenty-two divisors.
Prime factorization of 138249864806400:
216 × 310 × 52 × 1429
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 1429)See below for interesting mathematical facts about the number 138249864806400 from the Numbermatics database.
Names of 138249864806400
- Cardinal: 138249864806400 can be written as One hundred thirty-eight trillion, two hundred forty-nine billion, eight hundred sixty-four million, eight hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 1.382498648064 × 1014
Factors of 138249864806400
Divisors of 138249864806400
- Number of divisors d(n): 1122
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 128 135 144 150 160 162 180 192 200 216 225 240 243 256 270 288 300 320 324 360 384 400 405 432 450 480 486 512 540 576 600 640 648 675 720 729 768 800 810 864 900 960 972 1024 1080 1152 1200 1215 1280 1296 1350 1429 1440 1458 1536 1600 1620 1728 1800 1920 1944 2025 2048 2160 2187 2304 2400 2430 2560 2592 2700 2858 2880 2916 3072 3200 3240 3456 3600 3645 3840 3888 4050 4096 4287 4320 4374 4608 4800 4860 5120 5184 5400 5716 5760 5832 6075 6144 6400 6480 6561 6912 7145 7200 7290 7680 7776 8100 8192 8574 8640 8748 9216 9600 9720 10240 10368 10800 10935 11432 11520 11664 12150 12288 12800 12861 12960 13122 13824 14290 14400 14580 15360 15552 16200 16384 17148 17280 17496 18225 18432 19200 19440 19683 20480 20736 21435 21600 21870 22864 23040 23328 24300 24576 25600 25722 25920 26244 27648 28580 28800 29160 30720 31104 32400 32768 32805 34296 34560 34992 35725 36450 36864 38400 38583 38880 39366 40960 41472 42870 43200 43740 45728 46080 46656 48600 49152 51200 51444 51840 52488 54675 55296 57160 57600 58320 59049 61440 62208 64305 64800 65536 65610 68592 69120 69984 71450 72900 73728 76800 77166 77760 78732 81920 82944 85740 86400 87480 91456 92160 93312 97200 98304 98415 102400 102888 103680 104976 107175 109350 110592 114320 115200 115749 116640 118098 122880 124416 128610 129600 131220 137184 138240 139968 142900 145800 147456 153600 154332 155520 157464 163840 164025 165888 171480 172800 174960 182912 184320 186624 192915 194400 196608 196830 204800 205776 207360 209952 214350 218700 221184 228640 230400 231498 233280 236196 245760 248832 257220 259200 262440 274368 276480 279936 285800 291600 294912 295245 307200 308664 311040 314928 321525 327680 328050 331776 342960 345600 347247 349920 365824 368640 373248 385830 388800 393660 409600 411552 414720 419904 428700 437400 442368 457280 460800 462996 466560 472392 491520 492075 497664 514440 518400 524880 548736 552960 559872 571600 578745 583200 589824 590490 614400 617328 622080 629856 643050 656100 663552 685920 691200 694494 699840 731648 737280 746496 771660 777600 787320 819200 823104 829440 839808 857400 874800 884736 914560 921600 925992 933120 944784 964575 983040 984150 995328 1028880 1036800 1041741 1049760 1097472 1105920 1119744 1143200 1157490 1166400 1180980 1228800 1234656 1244160 1259712 1286100 1312200 1327104 1371840 1382400 1388988 1399680 1463296 1474560 1476225 1492992 1543320 1555200 1574640 1638400 1646208 1658880 1679616 1714800 1736235 1749600 1769472 1829120 1843200 1851984 1866240 1889568 1929150 1968300 1990656 2057760 2073600 2083482 2099520 2194944 2211840 2239488 2286400 2314980 2332800 2361960 2457600 2469312 2488320 2519424 2572200 2624400 2654208 2743680 2764800 2777976 2799360 2893725 2926592 2949120 2952450 2985984 3086640 3110400 3125223 3149280 3292416 3317760 3359232 3429600 3472470 3499200 3658240 3686400 3703968 3732480 3779136 3858300 3936600 3981312 4115520 4147200 4166964 4199040 4389888 4423680 4478976 4572800 4629960 4665600 4723920 4915200 4938624 4976640 5038848 5144400 5208705 5248800 5308416 5487360 5529600 5555952 5598720 5787450 5853184 5904900 5971968 6173280 6220800 6250446 6298560 6584832 6635520 6718464 6859200 6944940 6998400 7316480 7372800 7407936 7464960 7558272 7716600 7873200 7962624 8231040 8294400 8333928 8398080 8681175 8779776 8847360 8957952 9145600 9259920 9331200 9375669 9447840 9877248 9953280 10077696 10288800 10417410 10497600 10974720 11059200 11111904 11197440 11574900 11706368 11809800 11943936 12346560 12441600 12500892 12597120 13169664 13271040 13436928 13718400 13889880 13996800 14632960 14745600 14815872 14929920 15116544 15433200 15626115 15746400 15925248 16462080 16588800 16667856 16796160 17362350 17559552 17915904 18291200 18519840 18662400 18751338 18895680 19754496 19906560 20155392 20577600 20834820 20995200 21949440 22118400 22223808 22394880 23149800 23412736 23619600 23887872 24693120 24883200 25001784 25194240 26043525 26339328 26542080 26873856 27436800 27779760 27993600 28127007 29265920 29631744 29859840 30233088 30866400 31252230 31492800 32924160 33177600 33335712 33592320 34724700 35119104 35831808 36582400 37039680 37324800 37502676 37791360 39508992 39813120 40310784 41155200 41669640 41990400 43898880 44236800 44447616 44789760 46299600 46825472 46878345 47239200 47775744 49386240 49766400 50003568 50388480 52087050 52678656 53747712 54873600 55559520 55987200 56254014 58531840 59263488 59719680 60466176 61732800 62504460 62985600 65848320 66355200 66671424 67184640 69449400 70238208 71663616 73164800 74079360 74649600 75005352 75582720 78130575 79017984 79626240 80621568 82310400 83339280 83980800 84381021 87797760 88895232 89579520 92599200 93650944 93756690 94478400 98772480 99532800 100007136 100776960 104174100 105357312 107495424 109747200 111119040 111974400 112508028 117063680 118526976 119439360 120932352 123465600 125008920 125971200 131696640 132710400 133342848 134369280 138898800 140476416 140635035 143327232 146329600 148158720 149299200 150010704 151165440 156261150 158035968 161243136 164620800 166678560 167961600 168762042 175595520 177790464 179159040 185198400 187513380 188956800 197544960 199065600 200014272 201553920 208348200 210714624 214990848 219494400 222238080 223948800 225016056 234127360 234391725 237053952 238878720 241864704 246931200 250017840 251942400 263393280 266685696 268738560 277797600 280952832 281270070 292659200 296317440 298598400 300021408 302330880 312522300 316071936 322486272 329241600 333357120 335923200 337524084 351191040 355580928 358318080 370396800 375026760 377913600 395089920 398131200 400028544 403107840 416696400 421429248 421905105 429981696 438988800 444476160 447897600 450032112 468254720 468783450 474107904 483729408 493862400 500035680 503884800 526786560 533371392 537477120 555595200 562540140 585318400 592634880 597196800 600042816 604661760 625044600 632143872 644972544 658483200 666714240 671846400 675048168 702382080 703175175 711161856 716636160 740793600 750053520 755827200 790179840 800057088 806215680 833392800 842858496 843810210 877977600 888952320 895795200 900064224 937566900 948215808 967458816 987724800 1000071360 1007769600 1053573120 1066742784 1074954240 1111190400 1125080280 1170636800 1185269760 1194393600 1200085632 1209323520 1250089200 1264287744 1289945088 1316966400 1333428480 1343692800 1350096336 1404764160 1406350350 1422323712 1481587200 1500107040 1511654400 1580359680 1600114176 1612431360 1666785600 1687620420 1755955200 1777904640 1791590400 1800128448 1875133800 1896431616 1934917632 1975449600 2000142720 2015539200 2107146240 2109525525 2133485568 2149908480 2222380800 2250160560 2341273600 2370539520 2400171264 2418647040 2500178400 2528575488 2633932800 2666856960 2687385600 2700192672 2812700700 2844647424 2963174400 3000214080 3023308800 3160719360 3200228352 3224862720 3333571200 3375240840 3511910400 3555809280 3583180800 3600256896 3750267600 3792863232 3869835264 3950899200 4000285440 4031078400 4214292480 4219051050 4266971136 4444761600 4500321120 4741079040 4800342528 4837294080 5000356800 5267865600 5333713920 5374771200 5400385344 5625401400 5689294848 5926348800 6000428160 6046617600 6321438720 6400456704 6449725440 6667142400 6750481680 7023820800 7111618560 7200513792 7500535200 7585726464 7901798400 8000570880 8062156800 8438102100 8533942272 8889523200 9000642240 9482158080 9600685056 9674588160 10000713600 10535731200 10667427840 10749542400 10800770688 11250802800 11378589696 11852697600 12000856320 12093235200 12642877440 12800913408 13334284800 13500963360 14223237120 14401027584 15001070400 15803596800 16001141760 16124313600 16876204200 17067884544 17779046400 18001284480 18964316160 19201370112 19349176320 20001427200 21071462400 21334855680 21601541376 22501605600 22757179392 23705395200 24001712640 24186470400 25601826816 26668569600 27001926720 28446474240 28802055168 30002140800 31607193600 32002283520 32248627200 33752408400 34135769088 35558092800 36002568960 37928632320 38402740224 40002854400 42669711360 43203082752 45003211200 47410790400 48003425280 48372940800 51203653632 53337139200 54003853440 56892948480 57604110336 60004281600 63214387200 64004567040 67504816800 68271538176 71116185600 72005137920 76805480448 80005708800 85339422720 86406165504 90006422400 94821580800 96006850560 96745881600 102407307264 106674278400 108007706880 113785896960 115208220672 120008563200 128009134080 135009633600 142232371200 144010275840 153610960896 160011417600 170678845440 172812331008 180012844800 189643161600 192013701120 204814614528 213348556800 216015413760 230416441344 240017126400 256018268160 270019267200 284464742400 288020551680 307221921792 320022835200 341357690880 345624662016 360025689600 384027402240 426697113600 432030827520 460832882688 480034252800 512036536320 540038534400 568929484800 576041103360 614443843584 640045670400 691249324032 720051379200 768054804480 853394227200 864061655040 921665765376 960068505600 1024073072640 1080077068800 1152082206720 1280091340800 1382498648064 1440102758400 1536109608960 1706788454400 1728123310080 1843331530752 1920137011200 2160154137600 2304164413440 2560182681600 2764997296128 2880205516800 3072219217920 3456246620160 3840274022400 4320308275200 4608328826880 5120365363200 5529994592256 5760411033600 6912493240320 7680548044800 8640616550400 9216657653760 11520822067200 13824986480640 15361096089600 17281233100800 23041644134400 27649972961280 34562466201600 46083288268800 69124932403200 138249864806400
- Sum of all divisors σ(n): 514642560107390
- Sum of proper divisors (its aliquot sum) s(n): 376392695300990
- 138249864806400 is an abundant number, because the sum of its proper divisors (376392695300990) is greater than itself. Its abundance is 238142830494590
Bases of 138249864806400
- Binary: 111110110111100110011100001010100000000000000002
- Hexadecimal: 0x7DBCCE150000
- Base-36: 1D07400000
Squares and roots of 138249864806400
- 138249864806400 squared (1382498648064002) is 19113025118987877309480960000
- 138249864806400 cubed (1382498648064003) is 2642373138741401311636252892954886144000000
-
The
square root of 138249864806400 is 11757970.2672867821 -
The
cube root of 138249864806400 is 51707.6624551865
Scales and comparisons
How big is 138249864806400?- 138,249,864,806,400 seconds is equal to 4,395,918 years, 3 weeks, 3 days.
-
To count from 1 to 138,249,864,806,400 would take you about ten million, nine hundred eighty-nine thousand, seven hundred ninety-five 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 138249864806400 cubic inches would be around 4309 feet tall.
Recreational maths with 138249864806400
- 138249864806400 backwards is 004608468942831
- The number of decimal digits it has is: 15
- The sum of 138249864806400's digits is 63
- More coming soon!
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The information we have on file for 138249864806400 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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