138578745906432
138,578,745,906,432 is an even composite number composed of six prime numbers multiplied together.
138578745906432 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138578745906432:
28 × 32 × 133 × 41 × 47 × 14207
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 13 × 41 × 47 × 14207)See below for interesting mathematical facts about the number 138578745906432 from the Numbermatics database.
Names of 138578745906432
- Cardinal: 138578745906432 can be written as One hundred thirty-eight trillion, five hundred seventy-eight billion, seven hundred forty-five million, nine hundred six thousand, four hundred thirty-two.
Scientific notation
- Scientific notation: 1.38578745906432 × 1014
Factors of 138578745906432
Divisors of 138578745906432
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 41 47 48 52 64 72 78 82 94 96 104 117 123 128 141 144 156 164 169 188 192 208 234 246 256 282 288 312 328 338 369 376 384 416 423 468 492 507 533 564 576 611 624 656 676 738 752 768 832 846 936 984 1014 1066 1128 1152 1222 1248 1312 1352 1476 1504 1521 1599 1664 1692 1833 1872 1927 1968 2028 2132 2197 2256 2304 2444 2496 2624 2704 2952 3008 3042 3198 3328 3384 3666 3744 3854 3936 4056 4264 4394 4512 4797 4888 4992 5248 5408 5499 5781 5904 6016 6084 6396 6591 6768 6929 7332 7488 7708 7872 7943 8112 8528 8788 9024 9594 9776 9984 10496 10816 10998 11562 11808 12032 12168 12792 13182 13536 13858 14207 14664 14976 15416 15744 15886 16224 17056 17343 17576 18048 19188 19552 19773 20787 21632 21996 23124 23616 23829 24336 25051 25584 26364 27072 27716 28414 29328 29952 30832 31488 31772 32448 34112 34686 35152 36096 38376 39104 39546 41574 42621 43264 43992 46248 47232 47658 48672 50102 51168 52728 54144 55432 56828 58656 61664 62361 63544 64896 68224 69372 70304 71487 75153 76752 78208 79092 83148 85242 87984 90077 92496 94464 95316 97344 100204 102336 103259 105456 108288 110864 113656 117312 123328 124722 127088 127863 129792 136448 138744 140608 142974 150306 153504 156416 158184 166296 170484 175968 180154 184691 184992 190632 194688 200408 204672 206518 210912 221728 225459 227312 234624 246656 249444 254176 255726 270231 277488 281216 285948 300612 307008 309777 316368 325663 332592 340968 351936 360308 369382 369984 381264 389376 400816 409344 413036 421824 443456 450918 454624 469248 493312 498888 508352 511452 540462 554073 554976 562432 571896 582487 601224 614016 619554 632736 651326 665184 667729 681936 703872 720616 738764 739968 762528 801632 810693 826072 843648 886912 901836 909248 929331 976989 997776 1016704 1022904 1080924 1108146 1109952 1143792 1164974 1202448 1228032 1239108 1265472 1302652 1330368 1335458 1363872 1407744 1441232 1477528 1479936 1525056 1603264 1621386 1652144 1662219 1687296 1747461 1773824 1803672 1818496 1858662 1953978 1995552 2003187 2033408 2045808 2161848 2216292 2219904 2287584 2329948 2400983 2404896 2478216 2530944 2605304 2660736 2670916 2727744 2882464 2930967 2955056 3050112 3206528 3242772 3304288 3324438 3494922 3607344 3636992 3717324 3907956 3991104 4006374 4091616 4233619 4323696 4432584 4439808 4575168 4659896 4801966 4809792 4956432 5061888 5210608 5242383 5321472 5341832 5455488 5764928 5861934 5910112 6009561 6100224 6413056 6485544 6608576 6648876 6989844 7202949 7214688 7434648 7572331 7815912 7982208 8012748 8183232 8467238 8647392 8680477 8865168 9150336 9319792 9603932 9619584 9912864 10421216 10484766 10683664 10910976 11529856 11723868 11820224 12019122 12700857 12971088 13217152 13297752 13979688 14405898 14429376 14869296 15144662 15631824 15964416 16025496 16366464 16934476 17294784 17360954 17730336 18300672 18639584 19207864 19239168 19825728 20842432 20969532 21367328 21608847 22716993 23059712 23447736 23640448 24038244 25401714 25942176 26041431 26434304 26595504 27376889 27959376 28811796 28858752 29738592 30289324 31212779 31263648 32050992 32732928 33868952 34589568 34721908 35460672 37279168 38102571 38415728 39651456 41684864 41939064 42734656 43217694 45433986 46895472 47280896 48076488 50803428 51884352 52082862 53191008 54753778 55918752 57623592 57717504 59477184 60578648 62425558 62527296 64101984 67737904 68150979 69179136 69443816 70921344 74558336 76205142 76831456 78124293 79302912 82130667 83369728 83878128 85469312 86435388 90867972 93638337 93790944 96152976 98440303 101606856 103768704 104165724 106382016 109507556 111837504 112846201 115247184 118954368 121157296 124851116 125054592 128203968 135475808 136301958 138887632 141842688 149116672 152410284 153662912 156248586 164261334 167756256 170938624 172870776 181735944 187276674 187581888 192305952 196880606 203213712 207537408 208331448 212764032 219015112 223675008 225692402 230494368 237908736 242314592 246392001 249702232 250109184 256407936 270951616 272603916 277775264 280915011 295320909 304820568 307325824 312497172 328522668 335512512 338538603 345741552 355899557 363471888 374553348 375163776 384611904 393761212 406427424 416662896 425528064 438030224 447350016 451384804 460988736 484629184 492784002 499404464 512815872 541903232 545207832 555550528 561830022 590641818 609641136 614651648 624994344 657045336 671025024 677077206 691483104 711799114 726943776 749106696 750327552 769223808 787522424 812854848 833325792 876060448 885962727 902769608 921977472 969258368 985568004 998808928 1015615809 1067698671 1083806464 1090415664 1111101056 1123660044 1181283636 1219282272 1249988688 1279723939 1314090672 1342050048 1354154412 1382966208 1423598228 1453887552 1467000613 1498213392 1538447616 1575044848 1625709696 1666651584 1752120896 1771925454 1805539216 1843954944 1938516736 1971136008 1997617856 2031231618 2135397342 2180831328 2222202112 2247320088 2362567272 2438564544 2499977376 2559447878 2628181344 2708308824 2765932416 2847196456 2907775104 2934001226 2996426784 3150089696 3203096013 3251419392 3333303168 3504241792 3543850908 3611078432 3839171817 3942272016 3995235712 4062463236 4270794684 4361662656 4401001839 4494640176 4626694241 4725134544 4877129088 4999954752 5118895756 5256362688 5416617648 5531864832 5694392912 5815550208 5868002452 5992853568 6300179392 6406192026 6666606336 7008483584 7087701816 7222156864 7678343634 7884544032 7990471424 8124926472 8541589368 8723325312 8802003678 8989280352 9253388482 9450269088 9754258176 9999909504 10237791512 10512725376 10833235296 11388785824 11517515451 11736004904 11985707136 12600358784 12812384052 13203005517 13880082723 14175403632 14444313728 15356687268 15769088064 16249852944 17083178736 17446650624 17604007356 17978560704 18506776964 18900538176 19999819008 20475583024 21025450752 21666470592 22777571648 23035030902 23472009808 23971414272 25200717568 25624768104 26406011034 27760165446 28350807264 28888627456 30713374536 31538176128 32499705888 34166357472 35208014712 35957121408 37013553928 37801076352 40951166048 41640248169 43332941184 45555143296 46070061804 46944019616 51249536208 52812022068 55520330892 56701614528 60147025133 61426749072 63076352256 64999411776 68332714944 70416029424 71914242816 74027107856 75602152704 81902332096 83280496338 86665882368 91110286592 92140123608 93888039232 102499072416 105624044136 111040661784 113403229056 120294050266 122853498144 129998823552 136665429888 140832058848 148054215712 163804664192 166560992676 180441075399 184280247216 187776078464 204998144832 211248088272 222081323568 226806458112 240588100532 245706996288 259997647104 273330859776 281664117696 296108431424 327609328384 333121985352 360882150798 368560494432 375552156928 409996289664 422496176544 444162647136 481176201064 491413992576 541323226197 563328235392 592216862848 666243970704 721764301596 737120988864 819992579328 844992353088 888325294272 962352402128 982827985152 1082646452394 1126656470784 1184433725696 1332487941408 1443528603192 1474241977728 1689984706176 1776650588544 1924704804256 2165292904788 2664975882816 2887057206384 2948483955456 3379969412352 3553301177088 3849409608512 4330585809576 5329951765632 5774114412768 7698819217024 8661171619152 10659903531264 11548228825536 15397638434048 17322343238304 23096457651072 34644686476608 46192915302144 69289372953216 138578745906432
- Sum of all divisors σ(n): 452860754411520
- Sum of proper divisors (its aliquot sum) s(n): 314282008505088
- 138578745906432 is an abundant number, because the sum of its proper divisors (314282008505088) is greater than itself. Its abundance is 175703262598656
Bases of 138578745906432
- Binary: 111111000001001011000001110110001010101000000002
- Hexadecimal: 0x7E0960EC5500
- Base-36: 1D4E73BCW0
Squares and roots of 138578745906432
- 138578745906432 squared (1385787459064322) is 19204068816999443797298970624
- 138578745906432 cubed (1385787459064323) is 2661275772960600093058165578939087420653568
-
The
square root of 138578745906432 is 11771947.4135094573 -
The
cube root of 138578745906432 is 51748.6322501191
Scales and comparisons
How big is 138578745906432?- 138,578,745,906,432 seconds is equal to 4,406,375 years, 24 weeks, 2 days, 5 hours, 7 minutes, 12 seconds.
-
To count from 1 to 138,578,745,906,432 would take you about eleven million, fifteen thousand, nine hundred thirty-eight 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 138578745906432 cubic inches would be around 4312.4 feet tall.
Recreational maths with 138578745906432
- 138578745906432 backwards is 234609547875831
- 138578745906432 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138578745906432's digits is 72
- More coming soon!
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The information we have on file for 138578745906432 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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