138359873144064
138,359,873,144,064 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138359873144064 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1440 divisors.
138359873144064 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138359873144064:
28 × 3 × 114 × 13 × 29 × 127 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 11 × 11 × 13 × 29 × 127 × 257)See below for interesting mathematical facts about the number 138359873144064 from the Numbermatics database.
Names of 138359873144064
- Cardinal: 138359873144064 can be written as One hundred thirty-eight trillion, three hundred fifty-nine billion, eight hundred seventy-three million, one hundred forty-four thousand and sixty-four.
Scientific notation
- Scientific notation: 1.38359873144064 × 1014
Factors of 138359873144064
Divisors of 138359873144064
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 29 32 33 39 44 48 52 58 64 66 78 87 88 96 104 116 121 127 128 132 143 156 174 176 192 208 232 242 254 256 257 264 286 312 319 348 352 363 377 381 384 416 429 464 484 508 514 528 572 624 638 696 704 726 754 762 768 771 832 858 928 957 968 1016 1028 1056 1131 1144 1248 1276 1331 1392 1397 1408 1452 1508 1524 1542 1573 1651 1664 1716 1856 1914 1936 2032 2056 2112 2262 2288 2496 2552 2662 2784 2794 2816 2827 2904 3016 3048 3084 3146 3302 3328 3341 3432 3509 3683 3712 3828 3872 3993 4064 4112 4147 4191 4224 4524 4576 4719 4953 4992 5104 5324 5568 5588 5654 5808 6032 6096 6168 6292 6604 6682 6864 7018 7366 7424 7453 7656 7744 7986 8128 8224 8294 8382 8448 8481 9048 9152 9438 9906 9984 10023 10208 10527 10648 11049 11136 11176 11308 11616 12064 12192 12336 12441 12584 13208 13364 13728 14036 14641 14732 14906 15312 15367 15488 15972 16256 16448 16588 16764 16962 17303 18096 18161 18304 18876 19812 20046 20416 21054 21296 22098 22272 22352 22359 22616 23232 24128 24384 24672 24882 25168 26416 26728 27456 28072 29282 29464 29812 30624 30734 30976 31097 31944 32512 32639 32896 33176 33528 33924 34606 36192 36322 36608 36751 37752 38599 39624 40092 40513 40832 42108 42592 43923 44196 44704 44718 45232 45617 46101 46464 47879 48256 48768 49344 49764 50336 51909 52832 53456 54483 54912 56144 58564 58928 59624 61248 61468 62194 63888 65278 65792 66352 67056 67848 69212 72384 72644 73502 75504 77198 79248 80184 81026 81664 81983 84216 85184 87846 88392 89408 89436 90464 91234 92202 92928 93291 95758 96512 96889 97536 97917 98688 99528 100672 103818 105664 106912 108966 109824 110253 112288 115797 117128 117856 119248 121539 122496 122936 124388 127776 130556 132704 134112 135696 136851 138424 143637 144768 145288 147004 151008 154396 158496 160368 162052 163966 168432 169037 170368 175692 176784 178816 178872 180928 182468 184404 186582 190333 191516 193778 195834 197376 199056 199771 201344 207636 211328 213824 217932 220506 224576 231594 234256 235712 238496 243078 244992 245872 245949 248776 255552 261112 265408 268224 271392 273702 276848 287274 289536 290576 290667 294008 302016 308792 316992 320736 324104 327932 336864 338074 340736 342067 351384 353568 357632 357744 359029 361856 364936 368808 373164 380666 383032 387556 391668 398112 399542 402688 404261 415272 422656 424307 424589 427648 435864 441012 445643 449152 463188 468512 471424 476992 486156 491744 491898 497552 501787 507111 511104 522224 526669 530816 536448 542784 547404 553696 570999 574548 581152 581334 588016 599313 604032 617584 633984 641472 648208 655864 673728 676148 684134 702768 707136 715488 718058 723712 729872 737616 746328 761332 766064 775112 783336 796224 799084 808522 830544 848614 849178 855296 871728 882024 891286 898304 901813 926376 937024 942848 946531 953984 972312 983488 983796 995104 1003574 1014222 1022208 1026201 1044448 1053338 1061632 1065779 1072896 1077087 1085568 1094808 1107392 1141998 1149096 1162304 1162668 1176032 1198626 1208064 1212783 1235168 1267968 1272921 1273767 1282944 1296416 1311728 1336929 1347456 1352296 1368268 1405536 1414272 1430976 1436116 1459744 1475232 1492656 1505361 1522664 1532128 1550224 1566672 1580007 1592448 1598168 1617044 1661088 1697228 1698356 1743456 1764048 1782572 1803626 1852752 1859407 1874048 1893062 1907968 1944624 1966976 1967592 1990208 2007148 2028444 2052402 2088896 2106676 2131558 2154174 2171136 2189616 2197481 2214784 2283996 2298192 2324608 2325336 2352064 2397252 2425566 2470336 2545842 2547534 2565888 2592832 2623456 2673858 2694912 2704592 2705439 2736536 2811072 2828544 2839593 2861952 2872232 2919488 2950464 2985312 3010722 3045328 3064256 3100448 3133344 3160014 3184896 3196336 3197337 3234088 3322176 3394456 3396712 3486912 3528096 3565144 3607252 3705504 3718814 3748096 3762737 3786124 3889248 3933952 3935184 3949319 3980416 4014296 4056888 4104804 4177792 4213352 4263116 4308348 4379232 4394962 4429568 4446871 4567992 4596384 4649216 4650672 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9036041872 9282159744 9391791552 9450165504 9857500224 10078662088 10353178176 10475459808 10994904096 11121282304 11215943024 11348414792 11468822376 11911146104 12235574208 12380088864 12424557574 12522388736 12993977568 13143333632 13554062808 13804237568 13858160371 13967279744 14659872128 15117993132 15291763168 16314098944 16377825893 16506785152 16681923456 16823914536 17022622188 17325303424 17866719156 18072083744 18564319488 18636836361 18783583104 19715000448 20157324176 20706356352 20950919616 21989808192 22431886048 22696829584 22937644752 23822292208 24471148416 24760177728 24849115148 25987955136 27108125616 27716320742 27934559488 29319744256 30235986264 30583526336 32755651786 33013570304 33363846912 33647829072 34045244376 34650606848 35733438312 36144167488 37273672722 37567166208 39430000896 40314648352 41412712704 41574481113 41901839232 43979616384 44863772096 45393659168 45875289504 47644584416 48942296832 49133477679 49520355456 49698230296 51975910272 54216251232 55432641484 60471972528 61167052672 65511303572 67295658144 68090488752 71466876624 72288334976 74547345444 80629296704 83148962226 83803678464 87959232768 89727544192 90787318336 91750579008 95289168832 98266955358 99040710912 99396460592 103951820544 108432502464 110865282968 120943945056 122334105344 131022607144 134591316288 136180977504 142933753248 144576669952 149094690888 161258593408 166297924452 179455088384 180156084823 181574636672 183501158016 190578337664 196533910716 198792921184 216865004928 221730565936 241887890112 262045214288 269182632576 272361955008 285867506496 298189381776 322517186816 332595848904 360312169646 363149273344 367002316032 381156675328 393067821432 397585842368 433730009856 443461131872 483775780224 524090428576 538365265152 540468254469 544723910016 571735012992 596378763552 665191697808 720624339292 786135642864 795171684736 886922263744 967551560448 1048180857152 1080936508938 1089447820032 1143470025984 1192757527104 1330383395616 1441248678584 1572271285728 1590343369472 1773844527488 2096361714304 2161873017876 2385515054208 2660766791232 2882497357168 3144542571456 3547689054976 4192723428608 4323746035752 4771030108416 5321533582464 5764994714336 6289085142912 8647492071504 10643067164928 11529989428672 12578170285824 17294984143008 23059978857344 34589968286016 46119957714688 69179936572032 138359873144064
- Sum of all divisors σ(n): 456583892889600
- Sum of proper divisors (its aliquot sum) s(n): 318224019745536
- 138359873144064 is an abundant number, because the sum of its proper divisors (318224019745536) is greater than itself. Its abundance is 179864146601472
Bases of 138359873144064
- Binary: 111110111010110011010110001011100000101000000002
- Hexadecimal: 0x7DD66B170500
- Base-36: 1D1LNC4GLC
Squares and roots of 138359873144064
- 138359873144064 squared (1383598731440642) is 19143454496441482508498436096
- 138359873144064 cubed (1383598731440643) is 2648685935666805100382910775045494505734144
-
The
square root of 138359873144064 is 11762647.3697065323 -
The
cube root of 138359873144064 is 51721.3737787763
Scales and comparisons
How big is 138359873144064?- 138,359,873,144,064 seconds is equal to 4,399,415 years, 51 weeks, 3 days, 15 hours, 34 minutes, 24 seconds.
-
To count from 1 to 138,359,873,144,064 would take you about ten million, nine hundred ninety-eight thousand, five hundred thirty-nine 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 138359873144064 cubic inches would be around 4310.1 feet tall.
Recreational maths with 138359873144064
- 138359873144064 backwards is 460441378953831
- 138359873144064 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138359873144064's digits is 66
- More coming soon!
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The information we have on file for 138359873144064 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!
Keywords: Divisors of 138359873144064, math, Factors of 138359873144064, curriculum, school, college, exams, university, Prime factorization of 138359873144064, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred fifty-nine billion, eight hundred seventy-three million, one hundred forty-four thousand and sixty-four.