138428640109305
138,428,640,109,305 is an odd composite number composed of six prime numbers multiplied together.
138428640109305 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138428640109305:
35 × 5 × 74 × 132 × 61 × 4603
(3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 7 × 7 × 13 × 13 × 61 × 4603)See below for interesting mathematical facts about the number 138428640109305 from the Numbermatics database.
Names of 138428640109305
- Cardinal: 138428640109305 can be written as One hundred thirty-eight trillion, four hundred twenty-eight billion, six hundred forty million, one hundred nine thousand, three hundred five.
Scientific notation
- Scientific notation: 1.38428640109305 × 1014
Factors of 138428640109305
Divisors of 138428640109305
- Number of divisors d(n): 720
-
Complete list of divisors:
1 3 5 7 9 13 15 21 27 35 39 45 49 61 63 65 81 91 105 117 135 147 169 183 189 195 243 245 273 305 315 343 351 405 427 441 455 507 549 567 585 637 735 793 819 845 915 945 1029 1053 1183 1215 1281 1323 1365 1521 1647 1701 1715 1755 1911 2135 2205 2379 2401 2457 2535 2745 2835 2989 3087 3159 3185 3549 3843 3965 3969 4095 4459 4563 4603 4941 5145 5265 5551 5733 5915 6405 6615 7137 7203 7371 7605 8235 8281 8505 8967 9261 9555 10309 10647 11529 11895 11907 12005 12285 13377 13689 13809 14823 14945 15435 15795 16653 17199 17745 19215 19845 20923 21411 21609 22113 22295 22815 23015 24705 24843 26901 27755 27783 28665 30927 31213 31941 32221 34587 35685 36015 36855 38857 40131 41067 41405 41427 44835 46305 49959 51545 51597 53235 57645 57967 59535 59839 62769 64233 64827 66885 68445 69045 72163 74115 74529 80703 83265 83349 85995 92781 93639 95823 96663 103761 104615 107055 108045 110565 116571 120393 124215 124281 134505 138915 146461 149877 154635 154791 156065 159705 161105 172935 173901 179517 188307 192699 194285 194481 200655 205335 207135 216489 223587 225547 242109 249795 257985 271999 278343 280783 280917 287469 289835 289989 299195 313845 321165 324135 349713 360815 361179 372645 372843 403515 405769 416745 418873 439383 449631 463905 468195 479115 483315 505141 518805 521703 538551 564921 582855 583443 601965 621405 649467 670761 676641 726327 732305 749385 773955 777907 815997 835029 842349 842751 869505 869967 897585 941535 963495 972405 1049139 1082445 1083537 1117935 1118529 1127735 1210545 1217307 1256619 1318149 1348893 1359995 1391715 1403915 1404585 1437345 1449945 1515423 1565109 1578829 1615653 1694763 1748565 1805895 1864215 1903993 1948401 1965481 2012283 2028845 2029923 2094365 2196915 2248155 2333721 2447991 2505087 2525705 2527047 2528253 2608515 2609901 2692755 2824605 2917215 2932111 3147417 3247335 3353805 3383205 3535987 3631635 3650179 3651921 3769857 3889535 3954447 4079985 4175145 4211745 4213755 4349835 4546269 4695327 4736487 4846959 5084289 5245695 5417685 5445349 5592645 5711979 5845203 5896443 6086535 6089769 6283095 6590745 6744465 7001163 7343973 7577115 7581141 7584759 7825545 7829703 7894145 8078265 8473815 8796333 9442251 9519965 9742005 9827405 10061415 10149615 10607961 10950537 10955763 11051803 11309571 11668605 11863341 12239955 12525435 12635235 12641265 13049505 13638807 13758367 14085981 14209461 14540877 14660555 15737085 16336047 17135937 17535609 17679935 17689329 18250895 18259605 18269307 18849285 19772235 20524777 21003489 22031919 22731345 22743423 23476635 23682435 24234795 24751909 25421445 25551253 26388999 27226745 28559895 29226015 29482215 30448845 31823883 32851611 32867289 33155409 33928713 35005815 35590023 36719865 37905705 37923795 38117443 39148515 40916421 41275101 42628383 43981665 47211255 47452327 49008141 51407811 53039805 53067987 54752685 54778815 54807921 55259015 56547855 59316705 61574331 63010467 66095757 68194035 68230269 68791835 70429905 71047305 72704385 74255727 76653759 79166997 81680235 85679685 87678045 88446645 91346535 95471649 96308569 98554833 98601867 99466227 101786139 102623885 105017445 110159595 113717115 114352329 122749263 123759545 123825303 127756265 127885149 131944995 142356981 143673439 147024423 154223433 159119415 159203961 164258055 164336445 165777045 169643565 177950115 178858771 184722993 189031401 190587215 204582105 206375505 213141915 222767181 229961277 237261635 237500991 245040705 257039055 265339935 266822101 274039605 286414947 288925707 295664499 298398681 307871655 315052335 330478785 332166289 341151345 343056987 371278635 371475909 383268795 383655447 395834985 427070943 431020317 441073269 462670299 477358245 477611883 481542845 492774165 493009335 497331135 508930695 536576313 554168979 571761645 613746315 619126515 639425745 668301543 674159983 689883831 711784905 712502973 718367195 735122115 771117165 796019805 800466303 859244841 866777121 886993497 894293855 895196043 923614965 945157005 996498867 1029170961 1113835905 1114427727 1149806385 1187504955 1252011397 1281212829 1293060951 1323219807 1334110505 1432074735 1444628535 1478322495 1491993405 1609728939 1660831445 1662506937 1715284935 1857379545 1867754707 1918277235 2004904629 2022479949 2069651493 2135354715 2155101585 2205366345 2313351495 2325164023 2388059415 2401398909 2600331363 2682881565 2685588129 2770844895 2989496601 3087512883 3341507715 3343283181 3370799915 3449419155 3562514865 3756034191 3843638487 3879182853 4002331515 4296224205 4333885605 4434967485 4475980215 4829186817 4982494335 4987520811 5145854805 5572138635 5603264121 6014713887 6067439847 6208954479 6260056985 6406064145 6465304755 6616099035 6975492069 7204196727 7800994089 8048644695 8312534685 8764079779 8968489803 9262538649 9338773535 10024523145 10112399745 10348257465 11268102573 11530915461 11625820115 11637548559 12006994545 13001656815 13427940645 14487560451 14947483005 15437564415 16276148161 16716415905 16809792363 18202319541 18780170955 19218192435 19395914265 20926476207 21612590181 23402982267 24145934085 24937604055 26292239337 26905469409 28016320605 30073569435 30337199235 31044772395 33804307719 34877460345 34912645677 36020983635 39004970445 43462681353 43820398895 44842449015 46312693245 48828444483 50429377089 54606958623 56340512865 57654577305 58187742795 62779428621 64837770543 72437802255 78876718011 80716408227 81380740805 84048961815 91011597705 101412923157 104632381035 108062950905 113933037127 117014911335 131461196685 134527347045 146485333449 151288131267 163820875869 169021538595 174563228385 188338285863 217313406765 236630154033 244142222415 252146885445 273034793115 304238769471 313897143105 324188852715 341799111381 394383590055 403582041135 439456000347 453864393801 507064615785 565014857589 569665185635 709890462099 732426667245 756440656335 819104379345 941691429315 1025397334143 1183150770165 1318368001041 1521193847355 1708995556905 2129671386297 2197280001735 2269321969005 2825074287945 3076192002429 3549452310495 3955104003123 5126986670715 6591840005205 9228576007287 10648356931485 15380960012145 19775520015615 27685728021861 46142880036435 138428640109305
- Sum of all divisors σ(n): 319553690129856
- Sum of proper divisors (its aliquot sum) s(n): 181125050020551
- 138428640109305 is an abundant number, because the sum of its proper divisors (181125050020551) is greater than itself. Its abundance is 42696409911246
Bases of 138428640109305
- Binary: 111110111100110011011011110101110100010111110012
- Hexadecimal: 0x7DE66DEBA2F9
- Base-36: 1D2H8M76K9
Squares and roots of 138428640109305
- 138428640109305 squared (1384286401093052) is 19162488402511485002347583025
- 138428640109305 cubed (1384286401093053) is 2652637210669993248091890593619438562547625
-
The
square root of 138428640109305 is 11765570.1140788329 -
The
cube root of 138428640109305 is 51729.9411298597
Scales and comparisons
How big is 138428640109305?- 138,428,640,109,305 seconds is equal to 4,401,602 years, 29 weeks, 3 days, 14 hours, 21 minutes, 45 seconds.
-
To count from 1 to 138,428,640,109,305 would take you about eleven million, four thousand and 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 138428640109305 cubic inches would be around 4310.8 feet tall.
Recreational maths with 138428640109305
- 138428640109305 backwards is 503901046824831
- The number of decimal digits it has is: 15
- The sum of 138428640109305's digits is 54
- More coming soon!
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