138403538903635200
138,403,538,903,635,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 138403538903635200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 972 divisors.
138403538903635200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 138403538903635200:
28 × 32 × 52 × 133 × 330712
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 13 × 13 × 33071 × 33071)See below for interesting mathematical facts about the number 138403538903635200 from the Numbermatics database.
Names of 138403538903635200
- Cardinal: 138403538903635200 can be written as One hundred thirty-eight quadrillion, four hundred three trillion, five hundred thirty-eight billion, nine hundred three million, six hundred thirty-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.384035389036352 × 1017
Factors of 138403538903635200
Divisors of 138403538903635200
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 128 130 144 150 156 160 169 180 192 195 200 208 225 234 240 256 260 288 300 312 320 325 338 360 384 390 400 416 450 468 480 507 520 576 585 600 624 640 650 676 720 768 780 800 832 845 900 936 960 975 1014 1040 1152 1170 1200 1248 1280 1300 1352 1440 1521 1560 1600 1664 1690 1800 1872 1920 1950 2028 2080 2197 2304 2340 2400 2496 2535 2600 2704 2880 2925 3042 3120 3200 3328 3380 3600 3744 3840 3900 4056 4160 4225 4394 4680 4800 4992 5070 5200 5408 5760 5850 6084 6240 6400 6591 6760 7200 7488 7605 7800 8112 8320 8450 8788 9360 9600 9984 10140 10400 10816 10985 11520 11700 12168 12480 12675 13182 13520 14400 14976 15210 15600 16224 16640 16900 17576 18720 19200 19773 20280 20800 21632 21970 23400 24336 24960 25350 26364 27040 28800 29952 30420 31200 32448 32955 33071 33800 35152 37440 38025 39546 40560 41600 43264 43940 46800 48672 49920 50700 52728 54080 54925 57600 60840 62400 64896 65910 66142 67600 70304 74880 76050 79092 81120 83200 87880 93600 97344 98865 99213 101400 105456 108160 109850 121680 124800 129792 131820 132284 135200 140608 149760 152100 158184 162240 164775 165355 175760 187200 194688 197730 198426 202800 210912 216320 219700 243360 249600 263640 264568 270400 281216 297639 304200 316368 324480 329550 330710 351520 374400 389376 395460 396852 405600 421824 429923 439400 486720 494325 496065 527280 529136 540800 562432 595278 608400 632736 648960 659100 661420 703040 748800 790920 793704 811200 826775 843648 859846 878800 973440 988650 992130 1054560 1058272 1081600 1190556 1216800 1265472 1289769 1318200 1322840 1406080 1488195 1581840 1587408 1622400 1653550 1687296 1719692 1757600 1946880 1977300 1984260 2109120 2116544 2149615 2381112 2433600 2480325 2530944 2579538 2636400 2645680 2812160 2976390 3163680 3174816 3244800 3307100 3439384 3515200 3869307 3954600 3968520 4218240 4233088 4299230 4762224 4867200 4960650 5061888 5159076 5272800 5291360 5588999 5952780 6327360 6349632 6448845 6614200 6878768 7030400 7440975 7738614 7909200 7937040 8436480 8466176 8598460 9524448 9734400 9921300 10318152 10545600 10582720 10748075 11177998 11905560 12654720 12699264 12897690 13228400 13757536 14060800 14881950 15477228 15818400 15874080 16766997 17196920 19048896 19346535 19842600 20636304 21091200 21165440 21496150 22355996 23811120 25309440 25398528 25795380 26456800 27515072 27944995 29763900 30954456 31636800 31748160 32244225 33533994 34393840 38097792 38693070 39685200 41272608 42182400 42330880 42992300 44711992 47622240 50300991 51590760 52913600 55030144 55889990 59527800 61908912 63273600 63496320 64488450 67067988 68787680 72656987 76195584 77386140 79370400 82545216 83834985 85984600 89423984 95244480 96732675 100601982 103181520 105827200 110060288 111779980 119055600 123817824 126547200 126992640 128976900 134135976 137575360 139724975 145313974 154772280 158740800 165090432 167669970 171969200 178847968 190488960 193465350 201203964 206363040 211654400 217970961 223559960 238111200 247635648 251504955 257953800 268271952 275150720 279449950 290627948 309544560 317481600 330180864 335339940 343938400 357695936 363284935 380977920 386930700 402407928 412726080 419174925 435941922 447119920 476222400 495271296 503009910 515907600 536543904 550301440 558899900 581255896 619089120 634963200 653912883 670679880 687876800 715391872 726569870 773861400 804815856 825452160 838349850 871883844 894239840 952444800 990542592 1006019820 1031815200 1073087808 1089854805 1093691041 1117799800 1162511792 1238178240 1257524775 1307825766 1341359760 1375753600 1430783744 1453139740 1547722800 1609631712 1650904320 1676699700 1743767688 1788479680 1816424675 1904889600 2012039640 2063630400 2146175616 2179709610 2187382082 2235599600 2325023584 2476356480 2515049550 2615651532 2682719520 2751507200 2906279480 3095445600 3219263424 3269564415 3281073123 3353399400 3487535376 3576959360 3632849350 4024079280 4127260800 4292351232 4359419220 4374764164 4471199200 4650047168 4952712960 5030099100 5231303064 5365439040 5449274025 5468455205 5812558960 6190891200 6438526848 6539128830 6562146246 6706798800 6975070752 7153918720 7265698700 8048158560 8254521600 8718838440 8749528328 8942398400 9300094336 9843219369 10060198200 10462606128 10730878080 10898548050 10936910410 11625117920 12381782400 12877053696 13078257660 13124292492 13413597600 13950141504 14217983533 14531397400 16096317120 16347822075 16405365615 17437676880 17499056656 17884796800 18600188672 19686438738 20120396400 20925212256 21461756160 21797096100 21873820820 23250235840 24763564800 26156515320 26248584984 26827195200 27342276025 27900283008 28435967066 29062794800 32192634240 32695644150 32810731230 34875353760 34998113312 35769593600 39372877476 40240792800 41850424512 42653950599 43594192200 43747641640 46500471680 49216096845 52313030640 52497169968 53654390400 54684552050 55800566016 56871934132 58125589600 64385268480 65391288300 65621462460 69750707520 69996226624 71089917665 78745754952 80481585600 82026828075 83700849024 85307901198 87188384400 87495283280 93000943360 98432193690 104626061280 104994339936 107308780800 109369104100 113743868264 116251179200 127961851797 130782576600 131242924920 139501415040 139992453248 142179835330 157491509904 160963171200 164053656150 167401698048 170615802396 174376768800 174990566560 184833785929 196864387380 209252122560 209988679872 213269752995 218738208200 227487736528 232502358400 246080484225 255923703594 261565153200 262485849840 279002830080 279984906496 284359670660 314983019808 321926342400 328107312300 341231604792 348753537600 349981133120 355449588325 369667571858 393728774760 418504245120 419977359744 426539505990 437476416400 454975473056 465004716800 492160968450 511847407188 523130306400 524971699680 554501357787 568719341320 629966039616 639809258985 656214624600 682463209584 697507075200 699962266240 710899176650 739335143716 787457549520 837008490240 839954719488 853079011980 874952832800 909950946112 924168929645 984321936900 1023694814376 1046260612800 1049943399360 1066348764975 1109002715574 1137438682640 1259932079232 1279618517970 1312429249200 1364926419168 1395014150400 1399924532480 1421798353300 1478670287432 1574915099040 1663504073361 1706158023960 1749905665600 1819901892224 1848337859290 1968643873800 2047389628752 2092521225600 2099886798720 2132697529950 2218005431148 2274877365280 2402839217077 2519864158464 2559237035940 2624858498400 2729852838336 2772506788935 2843596706600 2957340574864 3149830198080 3199046294925 3327008146722 3412316047920 3499811331200 3639803784448 3696675718580 3937287747600 4094779257504 4185042451200 4199773597440 4265395059900 4436010862296 4549754730560 4620844648225 4805678434154 5118474071880 5249716996800 5459705676672 5545013577870 5687193413200 5914681149728 6299660396160 6398092589850 6654016293444 6824632095840 6999622662400 7208517651231 7393351437160 7874575495200 8189558515008 8317520366805 8530790119800 8872021724592 9099509461120 9241689296450 9611356868308 10236948143760 10499433993600 10919411353344 11090027155740 11374386826400 11829362299456 12014196085385 12599320792320 12796185179700 13308032586888 13649264191680 13862533944675 14417035302462 14786702874320 15749150990400 16379117030016 16635040733610 17061580239600 17744043449184 18199018922240 18483378592900 19222713736616 20473896287520 20998867987200 21625552953693 22180054311480 22748773652800 23658724598912 24028392170770 25592370359400 26616065173776 27298528383360 27725067889350 28834070604924 29573405748640 31498301980800 32758234060032 33270081467220 34123160479200 35488086898368 36042588256155 36966757185800 38445427473232 40947792575040 41587601834025 43251105907386 44360108622960 45497547305600 47317449197824 48056784341540 51184740718800 53232130347552 54597056766720 55450135778700 57668141209848 59146811497280 60070980426925 62996603961600 66540162934440 68246320958400 70976173796736 72085176512310 73933514371600 76890854946464 81895585150080 83175203668050 86502211814772 88720217245920 90995094611200 96113568683080 102369481437600 106464260695104 108127764768465 110900271557400 115336282419696 118293622994560 120141960853850 133080325868880 136492641916800 141952347593472 144170353024620 147867028743200 153781709892928 163791170300160 166350407336100 173004423629544 177440434491840 180212941280775 192227137366160 204738962875200 212928521390208 216255529536930 221800543114800 230672564839392 236587245989120 240283921707700 266160651737760 272985283833600 288340706049240 295734057486400 307563419785856 332700814672200 346008847259088 354880868983680 360425882561550 384454274732320 409477925750400 425857042780416 432511059073860 443601086229600 461345129678784 480567843415400 532321303475520 540638823842325 576681412098480 591468114972800 615126839571712 665401629344400 692017694518176 709761737967360 720851765123100 768908549464640 818955851500800 865022118147720 887202172459200 922690259357568 961135686830800 1064642606951040 1081277647684650 1153362824196960 1182936229945600 1330803258688800 1384035389036352 1441703530246200 1537817098929280 1730044236295440 1774404344918400 1845380518715136 1922271373661600 2129285213902080 2162555295369300 2306725648393920 2661606517377600 2768070778072704 2883407060492400 3075634197858560 3460088472590880 3548808689836800 3844542747323200 4325110590738600 4613451296787840 5323213034755200 5536141556145408 5766814120984800 6920176945181760 7689085494646400 8650221181477200 9226902593575680 10646426069510400 11533628241969600 13840353890363520 15378170989292800 17300442362954400 23067256483939200 27680707780727040 34600884725908800 46134512967878400 69201769451817600 138403538903635200
- Sum of all divisors σ(n): 536056652874581020
- Sum of proper divisors (its aliquot sum) s(n): 397653113970945820
- 138403538903635200 is an abundant number, because the sum of its proper divisors (397653113970945820) is greater than itself. Its abundance is 259249575067310620
Bases of 138403538903635200
- Binary: 1111010111011010101001001000011000000001000010101000000002
- Hexadecimal: 0x1EBB5490C021500
- Base-36: 11URYK0LQV40
Squares and roots of 138403538903635200
- 138403538903635200 squared (1384035389036352002) is 19155539581050062299231774679040000
- 138403538903635200 cubed (1384035389036352003) is 2651194467625986217764181553376715001969246208000000
-
The
square root of 138403538903635200 is 372026261.0403131205 -
The
cube root of 138403538903635200 is 517268.1421820567
Scales and comparisons
How big is 138403538903635200?- 138,403,538,903,635,200 seconds is equal to 4,400,804,426 years, 45 weeks, 5 days, 16 hours.
-
To count from 1 to 138,403,538,903,635,200 would take you about thirteen billion, two hundred two million, four hundred thirteen thousand, two hundred eighty 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 138403538903635200 cubic inches would be around 43105.7 feet tall.
Recreational maths with 138403538903635200
- 138403538903635200 backwards is 002536309835304831
- The number of decimal digits it has is: 18
- The sum of 138403538903635200's digits is 63
- More coming soon!
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The information we have on file for 138403538903635200 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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