138404975661225
138,404,975,661,225 is an odd composite number composed of five prime numbers multiplied together.
What does the number 138404975661225 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
138404975661225 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138404975661225:
35 × 52 × 75 × 133 × 617
(3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 13 × 13 × 13 × 617)See below for interesting mathematical facts about the number 138404975661225 from the Numbermatics database.
Names of 138404975661225
- Cardinal: 138404975661225 can be written as One hundred thirty-eight trillion, four hundred four billion, nine hundred seventy-five million, six hundred sixty-one thousand, two hundred twenty-five.
Scientific notation
- Scientific notation: 1.38404975661225 × 1014
Factors of 138404975661225
Divisors of 138404975661225
- Number of divisors d(n): 864
-
Complete list of divisors:
1 3 5 7 9 13 15 21 25 27 35 39 45 49 63 65 75 81 91 105 117 135 147 169 175 189 195 225 243 245 273 315 325 343 351 405 441 455 507 525 567 585 617 637 675 735 819 845 945 975 1029 1053 1183 1215 1225 1323 1365 1521 1575 1701 1715 1755 1851 1911 2025 2197 2205 2275 2401 2457 2535 2835 2925 3085 3087 3159 3185 3549 3675 3969 4095 4225 4319 4459 4563 4725 5145 5265 5553 5733 5915 6075 6591 6615 6825 7203 7371 7605 8021 8281 8505 8575 8775 9255 9261 9555 10647 10985 11025 11907 12005 12285 12675 12957 13377 13689 14175 15379 15425 15435 15795 15925 16659 16807 17199 17745 19773 19845 20475 21595 21609 22113 22295 22815 24063 24843 25725 26325 27765 27783 28665 29575 30233 31213 31941 32955 33075 36015 36855 38025 38871 40105 40131 41067 41405 42525 46137 46275 46305 47775 49977 50421 51597 53235 54925 56147 57967 59319 59535 60025 61425 64785 64827 66885 68445 72189 74529 76895 77175 78975 83295 83349 84035 85995 88725 90699 93639 95823 98865 99225 104273 107653 107975 108045 110565 111475 114075 116613 120315 120393 124215 138411 138825 138915 143325 149931 151165 151263 154791 156065 159705 164775 168441 173901 177957 180075 184275 194355 194481 200525 200655 205335 207025 211631 216567 218491 223587 230685 231525 249885 252105 257985 266175 272097 280735 280917 287469 289835 296595 297675 312819 322959 323925 324135 334425 342225 349839 360945 361179 372645 384475 393029 405769 415233 416475 416745 420175 429975 453495 453789 468195 479115 494325 505323 521365 521703 533871 538265 540225 552825 583065 583443 601575 601965 621075 634893 649701 655473 670761 692055 694575 729911 749655 753571 755825 756315 773955 780325 798525 816291 842205 842751 869505 889785 938457 968877 971775 972405 1003275 1026675 1049517 1058155 1082835 1083537 1092455 1117935 1153425 1179087 1217307 1245699 1249425 1260525 1289925 1355549 1360485 1361367 1403675 1404585 1437345 1449175 1481417 1482975 1515969 1564095 1565109 1614795 1620675 1749195 1804725 1805895 1863225 1904679 1949103 1965145 1966419 2012283 2028845 2076165 2083725 2189733 2260713 2267475 2268945 2340975 2395575 2448873 2526615 2528253 2606825 2608515 2669355 2691325 2751203 2815371 2840383 2906631 2915325 2917215 3009825 3174465 3248505 3277365 3353805 3460275 3537261 3649555 3651921 3737097 3748275 3767855 3781575 3869775 4066647 4081455 4084101 4211025 4213755 4347525 4444251 4448925 4547907 4692285 4695327 4844385 4862025 5109377 5247585 5274997 5290775 5414175 5417685 5462275 5589675 5714037 5895435 5899257 6086535 6228495 6569199 6777745 6782139 6802425 6806835 7022925 7186725 7346619 7407085 7579845 7584759 7820475 7825545 8073975 8253609 8446113 8521149 8719893 8745975 9029475 9488843 9523395 9745515 9825725 9832095 10061415 10144225 10369919 10380825 10611783 10948665 10955763 11303565 11344725 12199941 12244365 12633075 12641265 13042575 13332753 13346775 13643721 13756015 14076855 14085981 14201915 14533155 14586075 15328131 15824991 15872325 16242525 16386825 16769025 17142111 17686305 17697771 18247775 18259605 18685485 18839275 19258421 19707597 20333235 20346417 20407275 20420505 21068775 22221255 22739535 23461425 23476635 24221925 24760827 25338339 25546885 25563447 26159679 26237925 26374985 27088425 28466529 28570185 29477175 29496285 30432675 31109757 31142475 31835349 32845995 32867289 33888725 33910695 34034175 35765639 36599823 36733095 36924979 37035425 37899225 37923795 39127725 39998259 41268045 42230565 42605745 43599465 45984393 47444215 47474973 47616975 48727575 49160475 50307075 51426333 51849595 53058915 53093313 54743325 54778815 56517825 57775263 59122791 60999705 61039251 61221825 63206325 66421901 66663765 68218605 68780075 70384275 70429905 71009575 72665775 74282481 76640655 76690341 79124955 85399587 85710555 88431525 88488855 91298025 93329271 93427425 95506047 96292105 98537985 98601867 101666175 101732085 102102525 107296917 109799469 110774937 111106275 113697675 117383175 119994777 123804135 126691695 127734425 127817235 130798395 131874925 134808947 137953179 142332645 142424919 142850925 147481425 155548785 159176745 164229975 164336445 169553475 173325789 177368373 178828195 182999115 183117753 183665475 184624895 189618975 199265703 199991295 206340225 211152825 213028725 217997325 222847443 229921965 230071023 237221075 237374865 250359473 256198761 257131665 259247975 265294575 265466565 273894075 279987813 288876315 295613955 304998525 305196255 321890751 329398407 332109505 332324811 333318825 341093025 352149525 359984331 371412405 383203275 383451705 395624775 404426841 413859537 426997935 427274757 428552775 442444275 464953307 466646355 477530235 481460525 492689925 493009335 508660425 519977367 536484585 548997345 553874685 597797109 599973885 619020675 633458475 639086175 653991975 668542329 674044735 689765895 690213069 711663225 712124595 751078419 768596283 777743925 795883725 821682225 839963439 866628945 886841865 894140975 914995575 915588765 923124475 965672253 996328515 996974433 999956475 1114237215 1149609825 1150355115 1186874325 1213280523 1241578611 1251797365 1280993805 1281824271 1285658325 1327332825 1394859921 1399939065 1444381575 1478069775 1525981275 1559932101 1609453755 1646992035 1660547525 1661624055 1752516311 1793391327 1799921655 1857062025 1917258525 2022134205 2069297685 2134989675 2136373785 2253235257 2305788849 2324766535 2333231775 2387651175 2465046675 2519890317 2599886835 2682422925 2744986725 2769373425 2897016759 2988985545 2990923299 2999869425 3254673149 3342711645 3370223675 3448829475 3451065345 3560622975 3639841569 3755392095 3842981415 4184579763 4199817195 4333144725 4434209325 4577943825 4679796303 4828361265 4981642575 4984872165 5257548933 5380173981 5571186075 5751775575 6066402615 6207893055 6258986825 6404969025 6409121355 6759705771 6974299605 6999695325 7799660505 8047268775 8234960175 8308120275 8691050277 8762581555 8966956635 8972769897 8999608275 9764019447 10110671025 10346488425 10681868925 10919524707 11266176285 11528944245 11623832675 12553739289 12599451585 12999434175 14485083795 14944927725 14954616495 15772646799 16140521943 16273365745 16713558225 17255326725 18199207845 18776960475 19214907075 20279117313 20922898815 20999085975 22782712043 23398981515 24141806325 24924360825 26287744665 26900869905 29292058341 30332013075 31039465275 32045606775 32758574121 33798528855 34871498025 37661217867 38998302525 43455251385 43812907775 44834783175 44863849485 47317940397 48820097235 54597623535 56330881425 57644721225 60837351939 62768696445 62997257925 68348136129 72425418975 74773082475 78863233995 80702609715 81366828725 87876175023 90996039225 101395586565 104614494075 112983653601 113913560215 116994907575 131438723325 134504349525 141953821191 146460291705 163792870605 168992644275 188306089335 205044408387 217276256925 224319247425 236589701985 244100486175 263628525069 272988117675 304186759695 313843482225 341740680645 394316169975 403513048575 425861463573 439380875115 506977932825 564918268005 569567801075 615133225161 709769105955 732301458525 790885575207 818964353025 941530446675 1025222041935 1182948509925 1318142625345 1520933798475 1708703403225 1845399675483 2129307317865 2196904375575 2824591340025 3075666125805 3548845529775 3954427876035 5126110209675 5536199026449 6590713126725 9226998377415 10646536589325 15378330629025 19772139380175 27680995132245 46134991887075 138404975661225
- Sum of all divisors σ(n): 325433163444480
- Sum of proper divisors (its aliquot sum) s(n): 187028187783255
- 138404975661225 is an abundant number, because the sum of its proper divisors (187028187783255) is greater than itself. Its abundance is 48623212122030
Bases of 138404975661225
- Binary: 111110111100000111010110110100011010000101010012
- Hexadecimal: 0x7DE0EB68D0A9
- Base-36: 1D26D8ZXK9
Squares and roots of 138404975661225
- 138404975661225 squared (1384049756612252) is 19155937287784284625968500625
- 138404975661225 cubed (1384049756612253) is 2651277034083736352165218281596631200765625
-
The
square root of 138404975661225 is 11764564.4059278709 -
The
cube root of 138404975661225 is 51726.9932084163
Scales and comparisons
How big is 138404975661225?- 138,404,975,661,225 seconds is equal to 4,400,850 years, 5 weeks, 5 days, 12 hours, 33 minutes, 45 seconds.
-
To count from 1 to 138,404,975,661,225 would take you about eleven million, two thousand, one hundred twenty-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 138404975661225 cubic inches would be around 4310.6 feet tall.
Recreational maths with 138404975661225
- 138404975661225 backwards is 522166579404831
- 138404975661225 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138404975661225's digits is 63
- More coming soon!
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The information we have on file for 138404975661225 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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