138663735840

Names of 138663735840

• Cardinal: 138663735840 can be written as One hundred thirty-eight billion, six hundred sixty-three million, seven hundred thirty-five thousand, eight hundred forty.

Scientific notation

• Scientific notation: 1.3866373584 × 10¹¹

Factors of 138663735840

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1558

Divisors of 138663735840

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 23 24 27 28 30 32 35 36 38 40 42 45 46 48 49 54 56 57 60 63 69 70 72 76 80 84 90 92 95 96 98 105 108 112 114 115 120 126 133 135 138 140 144 147 152 160 161 168 171 180 184 189 190 196 207 210 216 224 228 230 240 245 252 266 270 276 280 285 288 294 304 315 322 336 342 345 360 368 378 380 392 399 414 420 432 437 441 456 460 480 483 490 504 513 532 540 552 560 570 588 608 621 630 644 665 672 684 690 720 735 736 756 760 784 798 805 828 840 855 864 874 882 912 920 931 945 966 980 1008 1026 1035 1064 1080 1104 1120 1127 1140 1176 1197 1242 1260 1288 1311 1323 1330 1368 1380 1440 1449 1470 1499 1512 1520 1568 1596 1610 1656 1680 1710 1748 1764 1824 1840 1862 1890 1932 1960 1995 2016 2052 2070 2128 2160 2185 2205 2208 2254 2280 2352 2394 2415 2484 2520 2565 2576 2622 2646 2660 2736 2760 2793 2898 2940 2998 3024 3040 3059 3105 3192 3220 3312 3360 3381 3420 3496 3528 3591 3680 3724 3780 3864 3920 3933 3990 4104 4140 4256 4320 4347 4370 4410 4497 4508 4560 4655 4704 4788 4830 4968 5040 5130 5152 5244 5292 5320 5472 5520 5586 5635 5796 5880 5985 5996 6048 6118 6210 6384 6440 6555 6615 6624 6762 6840 6992 7056 7182 7245 7448 7495 7560 7728 7840 7866 7980 8208 8280 8379 8694 8740 8820 8994 9016 9120 9177 9310 9576 9660 9936 10080 10143 10260 10488 10493 10584 10640 11040 11172 11270 11592 11760 11799 11970 11992 12236 12420 12768 12880 13110 13230 13491 13524 13680 13965 13984 14112 14364 14490 14896 14990 15120 15295 15456 15732 15960 16416 16560 16758 16905 17388 17480 17640 17955 17988 18032 18354 18620 19152 19320 19665 19872 20286 20520 20976 20986 21168 21280 21413 21735 22344 22485 22540 23184 23520 23598 23940 23984 24472 24840 25137 25760 26220 26460 26982 27048 27360 27531 27930 28481 28728 28980 29792 29980 30240 30429 30590 31464 31479 31920 33120 33516 33810 34477 34776 34960 35280 35910 35976 36064 36708 37240 38304 38640 39330 40473 40572 41040 41895 41952 41972 42336 42826 43470 44688 44970 45080 45885 46368 47196 47880 47968 48944 49680 50274 50715 52440 52465 52920 53964 54096 55062 55860 56962 57456 57960 58995 59960 60858 61180 62928 62958 63840 64239 67032 67455 67620 68954 69552 69920 70560 71820 71952 73416 73451 74480 77280 78660 80946 81144 82080 82593 83790 83944 85443 85652 86940 89376 89940 90160 91770 94392 94437 95760 97888 99360 100548 101430 103431 104880 104930 105840 107065 107928 108192 110124 111720 113924 114912 115920 117990 119920 121716 122360 125685 125856 125916 128478 134064 134910 135240 137655 137908 139104 142405 143640 143904 146832 146902 148960 152145 157320 157395 161892 162288 165186 167580 167888 170886 171304 172385 173880 179880 180320 183540 188784 188874 191520 192717 199367 201096 202365 202860 206862 209760 209860 211680 214130 215856 220248 220353 223440 227848 231840 235980 239840 241339 243432 244720 251370 251832 256329 256956 268128 269820 270480 275310 275816 283311 284810 287280 293664 293804 304290 310293 314640 314790 321195 323784 324576 330372 335160 335776 341772 342608 344770 347760 359760 367080 367255 377568 377748 385434 398734 402192 404730 405720 412965 413724 419720 427215 428260 431712 440496 440706 446880 455696 471960 472185 482678 486864 489440 502740 503664 512658 513912 517155 539640 540960 550620 551632 566622 569620 574560 578151 587608 598101 608580 620586 629280 629580 642390 647568 655063 660744 661059 670320 683544 685216 689540 695520 719520 724017 734160 734510 755496 768987 770868 797468 804384 809460 811440 825930 827448 839440 854430 856520 880992 881412 911392 930879 943920 944370 963585 965356 973728 996835 1005480 1007328 1025316 1027824 1034310 1079280 1101240 1101765 1103264 1133244 1139240 1156302 1175216 1196202 1206695 1217160 1241172 1259160 1281645 1284780 1295136 1310126 1321488 1322118 1340640 1367088 1379080 1395569 1416555 1448034 1468320 1469020 1510992 1537974 1541736 1551465 1594936 1618920 1622880 1651860 1654896 1678880 1689373 1708860 1713040 1762824 1794303 1861758 1887840 1888740 1927170 1930712 1965189 1983177 1993670 2010960 2050632 2055648 2068620 2158560 2172051 2202480 2203530 2266488 2278480 2312604 2350432 2392404 2413390 2434320 2482344 2518320 2563290 2569560 2620252 2642976 2644236 2734176 2758160 2791138 2833110 2890755 2896068 2938040 2990505 3021984 3075948 3083472 3102930 3189872 3237840 3275315 3303720 3305295 3309792 3378746 3417720 3426080 3525648 3588606 3620085 3723516 3777480 3844935 3854340 3861424 3930378 3966354 3987340 4021920 4101264 4137240 4186707 4344102 4404960 4407060 4532976 4556960 4585441 4625208 4654395 4784808 4826780 4868640 4964688 5036640 5068119 5126580 5139120 5240504 5288472 5382909 5516320 5582276 5666220 5781510 5792136 5876080 5895567 5981010 6151896 6166944 6205860 6379744 6475680 6516153 6550630 6607440 6610590 6757492 6835440 6977845 7051296 7177212 7240170 7447032 7554960 7689870 7708680 7722848 7860756 7932708 7974680 8202528 8274480 8373414 8446865 8688204 8814120 8971515 9065952 9170882 9250416 9308790 9569616 9653560 9825945 9915885 9929376 10136238 10253160 10278240 10481008 10576944 10765818 10860255 11164552 11332440 11563020 11584272 11752160 11791134 11962020 12303792 12411720 12560121 13032306 13101260 13214880 13221180 13514984 13670880 13756323 13955690 14354424 14480340 14894064 15109920 15204357 15379740 15417360 15721512 15865416 15949360 16548960 16746828 16893730 17376408 17628240 17686701 17943030 18341764 18500832 18617580 19139232 19307120 19651890 19831770 20272476 20506320 20933535 20962016 21153888 21531636 21720510 22329104 22664880 22927205 23126040 23168544 23582268 23924040 24607584 24823440 25120242 25340595 26064612 26202520 26442360 26914545 27029968 27512646 27911380 28708848 28960680 29477835 29788128 30408714 30759480 30834720 31443024 31730832 31898720 32098087 32580765 33493656 33787460 34752816 35256480 35373402 35886060 36683528 37235160 37680363 38614240 39303780 39663540 40544952 41012640 41268969 41867070 43063272 43441020 44658208 45329760 45613071 45854410 46252080 47164536 47848080 49646880 50240484 50681190 52129224 52405040 52884720 53829090 54059936 55025292 55822760 57417696 57921360 58955670 60817428 61518960 62800605 62886048 63461664 64196174 65161530 66987312 67574920 68781615 69505632 70746804 71772120 73367056 74470320 75360726 76021785 78607560 79327080 81089904 82537938 83734140 86126544 86882040 88433505 91226142 91708820 92504160 94329072 95696160 96294261 100480968 101362380 104258448 104810080 105769440 107658180 110050584 111645520 115842720 117911340 121634856 123037920 123806907 125601210 128392348 130323060 133974624 135149840 137563230 141493608 143544240 146734112 148940640 150721452 152043570 157215120 158654160 160490435 162179808 165075876 167468280 172253088 173764080 176867010 182452284 183417640 188401815 188658144 192588522 200961936 202724760 206344845 208516896 215316360 220101168 223291040 228065355 235822680 243269712 247613814 251202420 256784696 260646120 270299680 275126460 282987216 287088480 288882783 301442904 304087140 314430240 317308320 320980870 330151752 334936560 347528160 353734020 364904568 366835280 376803630 385177044 401923872 405449520 412689690 430632720 440202336 456130710 471645360 481471305 486539424 495227628 502404840 513569392 521292240 550252920 565974432 577765566 602885808 608174280 619034535 641961740 660303504 669873120 707468040 729809136 733670560 753607260 770354088 810899040 825379380 861265440 866648349 912261420 943290720 962942610 990455256 1004809680 1027138784 1042584480 1100505840 1155531132 1205771616 1216348560 1238069070 1283923480 1320607008 1414936080 1444413915 1459618272 1507214520 1540708176 1650758760 1733296698 1824522840 1925885220 1980910512 2009619360 2201011680 2311062264 2432697120 2476138140 2567846960 2829872160 2888827830 3014429040 3081416352 3301517520 3466593396 3649045680 3851770440 3961821024 4333241745 4622124528 4952276280 5135693920 5777655660 6028858080 6603035040 6933186792 7298091360 7703540880 8666483490 9244249056 9904552560 11555311320 13866373584 15407081760 17332966980 19809105120 23110622640 27732747168 34665933960 46221245280 69331867920 138663735840
• Sum of all divisors σ(n): 620524800000
• Sum of proper divisors (its aliquot sum) s(n): 481861064160
• 138663735840 is an abundant number, because the sum of its proper divisors (481861064160) is greater than itself. Its abundance is 343197328320

Bases of 138663735840

• Binary: 10000001001001000000001011001000100000₂
• Hexadecimal: 0x204900B220
• Base-36: 1RP8T3C0

Squares and roots of 138663735840

• 138663735840 squared (138663735840²) is 19227631637105300505600
• 138663735840 cubed (138663735840³) is 2666175234156396131572336840704000
• The square root of 138663735840 is 372375.7992136439
• The cube root of 138663735840 is 5175.9209182337

Scales and comparisons

• 138,663,735,840 seconds is equal to 4,409 years, 4 weeks, 8 hours, 24 minutes.
• To count from 1 to 138,663,735,840 would take you about eight thousand, eight hundred eighteen 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 138663735840 cubic inches would be around 431.3 feet tall.

Recreational maths with 138663735840

• 138663735840 backwards is 048537366831
• 138663735840 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138663735840's digits is 54
• More coming soon!