138970968270400

Names of 138970968270400

• Cardinal: 138970968270400 can be written as One hundred thirty-eight trillion, nine hundred seventy billion, nine hundred sixty-eight million, two hundred seventy thousand, four hundred.

Scientific notation

• Scientific notation: 1.389709682704 × 10¹⁴

Factors of 138970968270400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 11431

Divisors of 138970968270400

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 89 98 100 112 140 160 175 178 196 200 224 245 257 280 320 343 350 356 392 400 445 448 490 514 560 623 686 700 712 784 800 890 980 1028 1120 1225 1246 1285 1372 1400 1424 1568 1600 1715 1780 1799 1960 2056 2225 2240 2450 2492 2570 2744 2800 2848 3115 3136 3430 3560 3598 3920 4112 4361 4450 4900 4984 5140 5488 5600 5696 6230 6425 6860 7120 7196 7840 8224 8575 8722 8900 8995 9800 9968 10280 10976 11071 11200 12460 12593 12850 13720 14240 14392 15575 15680 16448 17150 17444 17800 17990 19600 19936 20560 21805 21952 22142 22873 24920 25186 25700 27440 28480 28784 30527 31150 34300 34888 35600 35980 39200 39872 41120 43610 44284 44975 45746 49840 50372 51400 54880 55355 57568 61054 62300 62965 68600 69776 71200 71960 77497 78400 82240 87220 88151 88568 89950 91492 99680 100744 102800 109025 109760 110710 114365 115136 122108 124600 125930 137200 139552 142400 143920 152635 154994 160111 174440 176302 177136 179900 182984 199360 201488 205600 218050 221420 228730 244216 249200 251860 274400 276775 279104 287840 305270 309988 314825 320222 348880 352604 354272 359800 365968 387485 402976 411200 436100 440755 442840 457460 488432 498400 503720 542479 548800 553550 571825 575680 610540 619976 629650 640444 697760 705208 708544 719600 731936 763175 774970 800555 805952 872200 881510 885680 914920 976864 985319 996800 1007440 1084958 1107100 1120777 1143650 1221080 1239952 1259300 1280888 1395520 1410416 1439200 1463872 1526350 1549940 1601110 1744400 1763020 1771360 1829840 1937425 1953728 1970638 2014880 2169916 2203775 2214200 2241554 2287300 2442160 2479904 2518600 2561776 2712395 2820832 2845247 2878400 3052700 3099880 3202220 3488800 3526040 3542720 3659680 3797353 3874850 3941276 4002775 4029760 4339832 4407550 4428400 4483108 4574600 4884320 4926595 4959808 5037200 5123552 5424790 5603885 5641664 5690494 6105400 6199760 6404440 6897233 6977600 7052080 7319360 7594706 7749700 7845439 7882552 8005550 8679664 8815100 8856800 8966216 9149200 9768640 9853190 10074400 10247104 10849580 11207770 11380988 12210800 12399520 12808880 13561975 13794466 14104160 14226235 15189412 15499400 15690878 15765104 16011100 17359328 17630200 17713600 17932432 18298400 18986765 19706380 19916729 20148800 21699160 22415540 22761976 24421600 24632975 24799040 25617760 27123950 27588932 28019425 28208320 28452470 30378824 30998800 31381756 31530208 32022200 34486165 34718656 35260400 35864864 36596800 37973530 39227195 39412760 39833458 43398320 44831080 45523952 48280631 48843200 49265950 51235520 54247900 55177864 56038850 56904940 60757648 61997600 62763512 63060416 64044400 68972330 70520800 71131175 71729728 75947060 78454390 78825520 79666916 86796640 89662160 91047904 94933825 96561262 98531900 99583645 108495800 110355728 112077700 113809880 121515296 123995200 125527024 128088800 137944660 139417103 141041600 142262350 151894120 156908780 157651040 159333832 172430825 173593280 179324320 182095808 189867650 193122524 196135975 197063800 199167290 216991600 220711456 224155400 227619760 241403155 243030592 251054048 253226983 256177600 275889320 278834206 284524700 303788240 313817560 315302080 318667664 337964417 344861650 358648640 379735300 386245048 392271950 394127600 398334580 433983200 441422912 448310800 455239520 482806310 497918225 502108096 506453966 551778640 557668412 569049400 607576480 627635120 637335328 675928834 689723300 697085515 759470600 772490096 784543900 788255200 796669160 867966400 896621600 910479040 965612620 975919721 995836450 1012907932 1103557280 1115336824 1138098800 1207015775 1215152960 1255270240 1266134915 1274670656 1351857668 1379446600 1394171030 1518941200 1544980192 1569087800 1576510400 1593338320 1689822085 1772588881 1793243200 1931225240 1951839442 1991672900 2025815864 2207114560 2230673648 2276197600 2414031550 2510540480 2532269830 2703715336 2758893200 2788342060 3037882400 3089960384 3138175600 3186676640 3379644170 3485427575 3545177762 3862450480 3903678884 3983345800 4051631728 4461347296 4552395200 4828063100 4879598605 5064539660 5407430672 5517786400 5576684120 6075764800 6276351200 6330674575 6373353280 6759288340 6970855150 7090355524 7724900960 7807357768 7966691600 8103263456 8449110425 8862944405 8922694592 9656126200 9759197210 10129079320 10814861344 11035572800 11153368240 12408122167 12552702400 12661349150 13518576680 13941710300 14180711048 15449801920 15614715536 15933383200 16206526912 16898220850 17725888810 19312252400 19518394420 20258158640 21629722688 22306736480 24397993025 24816244334 25322698300 27037153360 27883420600 28361422096 31229431072 31866766400 33796441700 35451777620 38624504800 39036788840 40516317280 44314722025 44613472960 48795986050 49632488668 50645396600 54074306720 55766841200 56722844192 62040610835 62458862144 67592883400 70903555240 77249009600 78073577680 81032634560 86856855169 88629444050 97591972100 99264977336 101290793200 108148613440 111533682400 113445688384 124081221670 135185766800 141807110480 156147155360 173713710338 177258888100 195183944200 198529954672 202581586400 223067364800 248162443340 270371533600 283614220960 310203054175 312294310720 347427420676 354517776200 390367888400 397059909344 405163172800 434284275845 496324886680 540743067200 567228441920 620406108350 694854841352 709035552400 780735776800 794119818688 868568551690 992649773360 1240812216700 1389709682704 1418071104800 1561471553600 1737137103380 1985299546720 2171421379225 2481624433400 2779419365408 2836142209600 3474274206760 3970599093440 4342842758450 4963248866800 5558838730816 6948548413520 8685685516900 9926497733600 13897096827040 17371371033800 19852995467200 27794193654080 34742742067600 69485484135200 138970968270400
• Sum of all divisors σ(n): 404868229632000
• Sum of proper divisors (its aliquot sum) s(n): 265897261361600
• 138970968270400 is an abundant number, because the sum of its proper divisors (265897261361600) is greater than itself. Its abundance is 126926293091200

Bases of 138970968270400

• Binary: 11111100110010010110011001100101010011001000000₂
• Hexadecimal: 0x7E64B332A640
• Base-36: 1D9EDQDTTS

Squares and roots of 138970968270400

• 138970968270400 squared (138970968270400²) is 19312930022012523567516160000
• 138970968270400 cubed (138970968270400³) is 2683936585297557986252720483499249664000000
• The square root of 138970968270400 is 11788594.8386735219
• The cube root of 138970968270400 is 51797.4080124995

Scales and comparisons

• 138,970,968,270,400 seconds is equal to 4,418,846 years, 48 weeks, 21 hours, 46 minutes, 40 seconds.
• To count from 1 to 138,970,968,270,400 would take you about eleven million, forty-seven thousand, one hundred seventeen 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 138970968270400 cubic inches would be around 4316.5 feet tall.

Recreational maths with 138970968270400

• 138970968270400 backwards is 004072869079831
• 138970968270400 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138970968270400's digits is 64
• More coming soon!