138512444190120
138,512,444,190,120 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138512444190120 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3072 divisors.
138512444190120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 138512444190120:
23 × 33 × 5 × 7 × 112 × 133 × 413
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 11 × 11 × 13 × 13 × 13 × 41 × 41 × 41)See below for interesting mathematical facts about the number 138512444190120 from the Numbermatics database.
Names of 138512444190120
- Cardinal: 138512444190120 can be written as One hundred thirty-eight trillion, five hundred twelve billion, four hundred forty-four million, one hundred ninety thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3851244419012 × 1014
Factors of 138512444190120
Divisors of 138512444190120
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 18 20 21 22 24 26 27 28 30 33 35 36 39 40 41 42 44 45 52 54 55 56 60 63 65 66 70 72 77 78 82 84 88 90 91 99 104 105 108 110 117 120 121 123 126 130 132 135 140 143 154 156 164 165 168 169 180 182 189 195 198 205 210 216 220 231 234 242 246 252 260 264 270 273 280 286 287 297 308 312 315 328 330 338 351 360 363 364 369 378 385 390 396 410 420 429 440 451 455 462 468 484 492 495 504 507 520 533 540 546 572 574 585 594 605 615 616 630 660 676 693 702 715 726 728 738 756 770 780 792 819 820 840 845 847 858 861 902 910 924 936 945 968 984 990 1001 1014 1066 1080 1089 1092 1107 1144 1148 1155 1170 1183 1188 1210 1230 1260 1287 1320 1352 1353 1365 1386 1404 1430 1435 1452 1476 1485 1512 1521 1540 1560 1573 1599 1638 1640 1681 1690 1694 1716 1722 1755 1804 1815 1820 1845 1848 1859 1890 1980 2002 2028 2079 2132 2145 2178 2184 2197 2214 2255 2296 2310 2340 2366 2376 2420 2457 2460 2520 2535 2541 2574 2583 2665 2706 2730 2772 2808 2860 2870 2904 2952 2970 3003 3042 3080 3146 3157 3198 3267 3276 3362 3380 3388 3432 3444 3465 3510 3549 3608 3630 3640 3690 3718 3731 3780 3861 3960 4004 4056 4059 4095 4158 4235 4264 4290 4305 4356 4394 4428 4510 4563 4620 4680 4719 4732 4797 4840 4914 4920 4961 5005 5043 5070 5082 5148 5166 5330 5412 5445 5460 5535 5544 5577 5720 5740 5863 5915 5940 6006 6084 6292 6314 6396 6435 6534 6552 6591 6724 6760 6765 6776 6888 6929 6930 7020 7098 7260 7380 7436 7462 7560 7605 7623 7722 7749 7865 7995 8008 8118 8190 8316 8405 8470 8580 8610 8712 8788 8856 9009 9020 9126 9240 9295 9438 9464 9471 9594 9828 9922 10010 10086 10140 10164 10296 10332 10395 10647 10660 10824 10890 10920 10985 11011 11070 11154 11193 11480 11726 11767 11830 11880 12012 12168 12177 12285 12584 12628 12705 12792 12870 12915 13013 13068 13182 13448 13530 13858 13860 14040 14157 14196 14391 14520 14760 14872 14883 14924 15015 15129 15210 15246 15379 15444 15498 15730 15785 15990 16236 16335 16380 16632 16731 16810 16940 17160 17220 17576 17589 17745 18018 18040 18252 18491 18590 18655 18876 18942 19188 19305 19656 19773 19844 20020 20172 20280 20295 20328 20449 20664 20787 20790 21294 21320 21780 21853 21970 22022 22140 22308 22386 22815 22869 23452 23534 23595 23660 23985 24024 24167 24354 24570 24805 25215 25256 25410 25740 25830 26026 26136 26364 27027 27060 27716 27720 27885 28314 28392 28413 28782 29315 29766 29848 30030 30258 30420 30492 30758 30888 30996 31460 31570 31941 31980 32472 32670 32760 32955 33033 33462 33579 33620 33880 34440 34645 34727 35178 35301 35490 36036 36504 36982 37180 37310 37752 37884 38115 38376 38610 38745 39039 39546 39688 40040 40344 40590 40898 41041 41574 41580 42471 42588 43560 43706 43940 44044 44280 44616 44649 44772 45045 45387 45630 45738 46137 46904 47068 47190 47320 47355 47970 48334 48503 48708 49140 49610 50193 50430 50820 51480 51660 52052 52728 52767 53235 54054 54120 55055 55432 55473 55770 55965 56628 56826 57564 58630 58835 59319 59532 60060 60516 60840 60885 60984 61347 61516 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3937473540 3988609560 3998050056 4021847973 4088324799 4119941826 4124972280 4139395260 4193153640 4203078264 4228096587 4239744236 4265596335 4331220894 4336509320 4387470516 4402811322 4468719970 4484344865 4503298140 4542583110 4553334786 4577713140 4612469004 4640593815 4653377820 4724968248 4812467660 4874967240 4878572985 4892012580 4967274312 4996841421 4997562570 5118715602 5124965560 5253847830 5299680295 5322079620 5362463964 5381213838 5451099732 5484338145 5493255768 5584053384 5637462116 5687461780 5731470360 5765586255 5774961192 5854287582 5870415096 5885631180 5906210310 6056777480 6071113048 6187458420 6209092890 6256207958 6289730460 6304617396 6338372040 6359616354 6496831341 6504763980 6662455228 6663416760 6703079955 6773555880 6813874665 6824954136 6830002179 6866569710 6918703506 6980066730 7005130440 7046827645 7174951784 7218701490 7312450860 7338018870 7424950104 7450911468 7490803320 7588891310 7678073403 7687448340 7805716776 7874947080 7880771745 8043695946 8071820757 8176649598 8239883652 8278790520 8328069035 8456193174 8479488472 8531192670 8662441788 8774941032 8805622644 8937439940 8968689730 9006596280 9085166220 9106669572 9155426280 9224938008 9281187630 9306755640 9313639335 9384311937 9539424531 9624935320 9757145970 9784025160 9865558703 9993682842 9995125140 10237431204 10299854565 10507695660 10599360590 10644159240 10724927928 10762427676 10828052235 10902199464 10968676290 11007028305 11274924232 11374923560 11383336965 11531172510 11659296649 11708575164 11771262360 11812420620 12065543919 12374916840 12418185780 12512415916 12579460920 12609234792 12684289761 12719232708 12796789005 12993662682 13009527960 13324910456 13406159910 13453034595 13627749330 13660004358 13733139420 13837407012 13960133460 14093655290 14437402980 14624901720 14635718955 14676037740 14901822936 14990524263 15177782620 15356146806 15374896680 15640519895 15761543490 15899040885 16087391892 16143641514 16353299196 16479767304 16656138070 16912386348 17062385340 17296758765 17324883576 17611245288 17874879880 17937379460 18170332440 18213339144 18321751877 18562375260 18627278670 18768623874 19078849062 19514291940 19731117406 19987365684 19990250280 20109239865 20441623995 20474862408 20490006537 20599709130 21015391320 21140482935 21198721180 21524855352 21656104470 21937352580 22014056610 22766673930 23062345020 23318593298 23417150328 23624841240 24131087838 24215462271 24836371560 24984207105 25024831832 25368579522 25438465416 25593578010 25987325364 26812319820 26906069190 27255498660 27320008716 27466278840 27674814024 27920266920 28152935811 28187310580 28618273593 28874805960 29271437910 29352075480 29596676109 29981048526 30355565240 30712293612 31281039790 31523086980 31798081770 32174783784 32287283028 32484156705 32706598392 33312276140 33824772696 34124770680 34150010895 34593517530 34977889947 35874758920 36643503754 37124750520 37254557340 37537247748 38052869283 38157698124 38390367015 39028583880 39462234812 39974731368 40218479730 40359103785 40883247990 40980013074 41199418260 42280965870 42397442360 43312208940 43874705160 44028113220 44971572789 45533347860 46124690040 46637186596 46921559685 47697122655 48262175676 48430924542 49327793515 49968414210 50737159044 51187156020 51974650728 53624639640 53812138380 54510997320 54640017432 54965255631 56305871622 56374621160 57236547186 58296483245 58542875820 59193352218 59962097052 60327719595 61424587224 62562079580 63046173960 63421448805 63596163540 64574566056 64968313410 66624552280 68300021790 69187035060 69955779894 73287007508 74509114680 74952621315 75074495496 76105738566 76315396248 76780734030 78924469624 80436959460 80718207570 81766495980 81960026148 82398836520 84458807433 84561931740 86624417880 88056226440 88790028327 89943145578 91066695720 91608759385 93274373192 93843119370 95394245310 96524351352 96861849084 98655587030 99936828420 101474318088 102374312040 102450032685 104933669841 107624276760 109930511262 112611743244 114473094372 116592966490 117085751640 118386704436 119924194104 120655439190 121077311355 125124159160 126842897610 127192327080 128252263139 129936626820 136600043580 138374070120 139911559788 140764679055 143091367965 146574015016 147983380545 149905242630 152211477132 153561468060 160873918920 161436415140 163532991960 163920052296 164895766893 168917614866 169123863480 174889449735 177580056654 179886291156 183217518770 187686238740 190264346415 190788490620 193723698168 197311174060 199873656840 204900065370 209867339682 219861022524 224857863945 225223486488 228946188744 233185932980 236773408872 241310878380 242154622710 253685795220 256504526278 259873253640 266370084981 273200087160 274826278155 279823119576 281529358110 286182735930 295966761090 299810485260 304422954264 307122936120 314801009523 322872830280 329791533786 337835229732 349778899470 355160113308 359772582312 366435037540 375372477480 380528692830 381576981240 384756789417 394622348120 409800130740 419734679364 422294037165 439722045048 443950141635 449715727890 466371865960 482621756760 484309245420 494687300679 507371590440 513009052556 524668349205 532740169962 549652556310 563058716220 572365471860 591933522180 599620970520 629602019046 641261315695 659583067572 675670459464 699557798940 710320226616 732870075080 761057385660 769513578834 819600261480 824478834465 839469358728 844588074330 887900283270 899431455780 968618490840 989374601358 1026018105112 1049336698410 1065480339924 1099305112620 1126117432440 1144730943720 1154270368251 1183867044360 1259204038092 1282522631390 1319166135144 1331850424905 1399115597880 1522114771320 1539027157668 1574005047615 1648957668930 1689176148660 1775800566540 1798862911560 1923783947085 1978749202716 2098673396820 2130960679848 2198610225240 2308540736502 2473436503395 2518408076184 2565045262780 2663700849810 3078054315336 3148010095230 3297915337860 3378352297320 3462811104753 3551601133080 3847567894170 3957498405432 4197346793640 4617081473004 4946873006790 5130090525560 5327401699620 5771351841255 6296020190460 6595830675720 6925622209506 7695135788340 9234162946008 9893746013580 10654803399240 11542703682510 12592040380920 13851244419012 15390271576680 17314055523765 19787492027160 23085407365020 27702488838024 34628111047530 46170814730040 69256222095060 138512444190120
- Sum of all divisors σ(n): 644015570688000
- Sum of proper divisors (its aliquot sum) s(n): 505503126497880
- 138512444190120 is an abundant number, because the sum of its proper divisors (505503126497880) is greater than itself. Its abundance is 366990682307760
Bases of 138512444190120
- Binary: 111110111111001111100010000100001101101101010002
- Hexadecimal: 0x7DF9F1086DA8
- Base-36: 1D3JQKZH60
Squares and roots of 138512444190120
- 138512444190120 squared (1385124441901202) is 19185697195521107742705614400
- 138512444190120 cubed (1385124441901203) is 2657457812043159237841950827108785009728000
-
The
square root of 138512444190120 is 11769130.9870406319 -
The
cube root of 138512444190120 is 51740.3780491389
Scales and comparisons
How big is 138512444190120?- 138,512,444,190,120 seconds is equal to 4,404,267 years, 14 weeks, 3 days, 5 hours, 42 minutes.
-
To count from 1 to 138,512,444,190,120 would take you about eleven million, ten thousand, six hundred sixty-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 138512444190120 cubic inches would be around 4311.7 feet tall.
Recreational maths with 138512444190120
- 138512444190120 backwards is 021091444215831
- 138512444190120 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138512444190120's digits is 45
- More coming soon!
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MLA style:
"Number 138512444190120 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
APA style:
Numbermatics. (2024). Number 138512444190120 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/138512444190120/
Chicago style:
Numbermatics. 2024. "Number 138512444190120 - Facts about the integer". https://numbermatics.com/n/138512444190120/
The information we have on file for 138512444190120 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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