138994689567825
138,994,689,567,825 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138994689567825 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
138994689567825 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138994689567825:
35 × 52 × 7 × 133 × 293 × 61
(3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 13 × 13 × 29 × 29 × 29 × 61)See below for interesting mathematical facts about the number 138994689567825 from the Numbermatics database.
Names of 138994689567825
- Cardinal: 138994689567825 can be written as One hundred thirty-eight trillion, nine hundred ninety-four billion, six hundred eighty-nine million, five hundred sixty-seven thousand, eight hundred twenty-five.
Scientific notation
- Scientific notation: 1.38994689567825 × 1014
Factors of 138994689567825
Divisors of 138994689567825
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 3 5 7 9 13 15 21 25 27 29 35 39 45 61 63 65 75 81 87 91 105 117 135 145 169 175 183 189 195 203 225 243 261 273 305 315 325 351 377 405 427 435 455 507 525 549 567 585 609 675 725 783 793 819 841 845 915 945 975 1015 1053 1131 1183 1215 1281 1305 1365 1521 1525 1575 1647 1701 1755 1769 1827 1885 2025 2135 2175 2197 2275 2349 2379 2457 2523 2535 2639 2745 2835 2925 3045 3159 3393 3549 3843 3915 3965 4095 4205 4225 4563 4575 4725 4901 4941 5075 5265 5307 5481 5551 5655 5887 5915 6075 6405 6525 6591 6825 7047 7137 7371 7569 7605 7917 8235 8505 8775 8845 9135 9425 10179 10309 10647 10675 10933 10985 11529 11745 11895 12285 12383 12615 12675 13195 13689 13725 14175 14703 14823 15225 15379 15795 15921 16443 16653 16965 17661 17745 19215 19575 19773 19825 20475 21025 21411 22113 22707 22815 22997 23751 24389 24505 24705 26325 26535 27405 27755 28275 29435 29575 30537 30927 31941 32025 32799 32955 34307 34587 35235 35685 36855 37149 37845 38025 39585 41067 41175 42525 44109 44225 45675 46137 47763 49329 49959 50895 51301 51545 52983 53235 54665 54925 57645 58725 59319 59475 61425 61915 63075 63713 64233 65975 68121 68445 68991 71253 72163 73167 73515 74115 76531 76895 78975 79605 82215 83265 84825 88305 88725 91611 92781 95823 96075 98397 98865 102921 103761 107055 110565 111447 113535 114075 114985 118755 121945 122525 123525 132327 132675 134017 137025 138411 138775 142129 143289 147175 149877 152685 153903 154635 158949 159705 160979 163995 164775 170723 171535 172935 176175 177957 178425 184275 185745 189225 191139 192699 197925 204363 205335 206973 213759 216489 219501 220545 229593 230685 238815 246645 249795 254475 256505 257725 264915 266175 273325 278343 287469 288225 295191 296595 298961 308763 309575 317057 318565 321165 334341 340605 342225 344955 356265 359107 360815 365835 367575 370575 382655 384475 396981 398025 402051 411075 415233 416325 426387 429867 441525 445991 449631 458055 461709 463905 476847 479115 482937 491985 494325 512169 514605 518805 533871 535275 552825 557235 567675 573417 574925 593775 609725 620919 641277 649467 658503 661635 666913 670085 688779 692055 710645 716445 749385 763425 769515 773175 794745 798525 804895 819975 835029 853615 857675 864675 885573 889785 896883 926289 928725 938119 951171 955695 963495 994903 1003023 1021815 1026675 1034865 1068795 1077321 1082445 1097505 1102725 1147965 1153425 1190943 1194075 1206153 1233225 1245699 1248975 1279161 1282525 1324575 1337973 1348893 1385127 1391715 1430541 1437345 1448811 1475955 1482975 1487729 1494805 1536507 1543815 1585285 1592825 1605825 1671705 1703025 1720251 1724775 1781325 1795535 1804075 1829175 1847677 1862757 1913275 1948401 1975509 1984905 2000739 2010255 2066337 2076165 2092727 2131935 2149335 2219399 2229955 2248155 2290275 2308545 2319525 2384235 2395575 2414685 2459925 2505087 2560845 2573025 2594025 2656719 2669355 2690649 2778867 2786175 2814357 2853513 2867085 2984709 3009069 3104595 3206385 3231963 3247335 3292515 3308175 3334565 3350425 3443895 3460275 3553225 3582225 3618459 3737097 3746925 3837483 3847575 3886493 3973725 4013919 4024475 4121741 4155381 4175145 4268075 4346433 4427865 4448925 4463187 4484415 4609521 4631445 4668391 4690595 4755855 4778475 4817475 4974515 5015115 5109075 5160753 5174325 5343975 5386605 5412225 5487525 5543031 5588271 5739825 5845203 5926527 5954715 6002217 6030765 6199011 6228495 6278181 6395805 6658197 6689865 6744465 6925635 6958575 7152705 7186725 7244055 7379775 7438645 7474025 7682535 7719075 7926425 8071947 8336601 8358525 8443071 8560539 8601255 8669869 8954127 8977675 9238385 9313785 9695889 9742005 9877545 9924525 10003695 10051275 10331685 10380825 10414103 10463635 10659675 10746675 10855377 11096995 11149775 11240775 11512449 11542725 11659479 11921175 12041757 12073425 12365223 12466143 12525435 12804225 12933739 13039299 13283595 13346775 13389561 13453245 13828563 13894335 14005173 14071785 14267565 14335425 14923545 15045345 15482259 15522975 16031925 16159815 16236675 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9453491775 9805621839 10127117637 10153750425 10533890835 10966050459 11018207655 11224637775 11314179045 11685135735 11834371185 12056092425 12653135145 12713316525 13020579819 13054821975 13482848925 13655043675 14747447169 15215620095 15714492885 15839850663 16342703065 16878529395 17556484725 18276750765 18363679425 18856965075 19475226225 19723951975 20365522281 21088558575 21301868133 21700966365 22879784291 23498679555 23610444975 24579078615 25039576575 25359366825 26190821475 26399751105 27388116171 28130882325 28360475325 29416865517 30381352911 30461251275 32898151377 33054622965 33942537135 35055407205 35503113555 36168277275 39164465925 40965131025 43999585175 45646860285 47519551989 49028109195 50635588185 52669454175 54830252295 55091038275 56570895225 58425678675 59171855925 61096566843 63265675725 63905604399 65102899095 68639352873 73737235845 76078100475 78572464425 79199253315 81713515325 84392646975 88250596551 91144058733 91383753825 101827611405 106509340665 108504831825 114398921455 117493397775 122895393075 131998755525 136940580855 142558655967 147084327585 151906764555 164490756885 165273114825 169712685675 175277036025 177515567775 191716813197 205918058619 228234301425 237597759945 245140545975 253177940925 264751789653 274151261475 305482834215 319528021995 325514495475 343196764365 368686179225 395996266575 427675967901 441252982755 455720293665 509138057025 532546703325 571994607275 617754175857 684702904275 712793279835 735421637925 759533822775 794255368959 822453784425 958584065985 1029590293095 1187988799725 1323758948265 1527414171075 1597640109975 1715983821825 1853262527571 2138379839505 2206264913775 2278601468325 3088770879285 3563966399175 3971276844795 4792920329925 5147951465475 5559787582713 6618794741325 9266312637855 10691899197525 15443854396425 19856384223975 27798937913565 46331563189275 138994689567825
- Sum of all divisors σ(n): 336476747443200
- Sum of proper divisors (its aliquot sum) s(n): 197482057875375
- 138994689567825 is an abundant number, because the sum of its proper divisors (197482057875375) is greater than itself. Its abundance is 58487368307550
Bases of 138994689567825
- Binary: 111111001101010001110010001100011101100010100012
- Hexadecimal: 0x7E6A3918EC51
- Base-36: 1D9PA1FK29
Squares and roots of 138994689567825
- 138994689567825 squared (1389946895678252) is 19319523728056039885275230625
- 138994689567825 cubed (1389946895678253) is 2685311203179378399308847207981558454640625
-
The
square root of 138994689567825 is 11789600.9079113869 -
The
cube root of 138994689567825 is 51800.3549872841
Scales and comparisons
How big is 138994689567825?- 138,994,689,567,825 seconds is equal to 4,419,601 years, 9 weeks, 5 days, 23 hours, 3 minutes, 45 seconds.
-
To count from 1 to 138,994,689,567,825 would take you about eleven million, forty-nine thousand and two 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 138994689567825 cubic inches would be around 4316.7 feet tall.
Recreational maths with 138994689567825
- 138994689567825 backwards is 528765986499831
- The number of decimal digits it has is: 15
- The sum of 138994689567825's digits is 90
- More coming soon!
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The information we have on file for 138994689567825 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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