138844102320

Names of 138844102320

• Cardinal: 138844102320 can be written as One hundred thirty-eight billion, eight hundred forty-four million, one hundred two thousand, three hundred twenty.

Scientific notation

• Scientific notation: 1.3884410232 × 10¹¹

Factors of 138844102320

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 686

Divisors of 138844102320

• Number of divisors d(n): 1200
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 33 35 36 40 41 42 44 45 48 54 55 56 60 63 66 70 72 77 80 81 82 84 88 90 99 105 108 110 112 120 121 123 126 132 135 140 144 154 162 164 165 168 176 180 189 198 205 210 216 220 231 240 242 246 252 264 270 280 287 297 308 315 324 328 330 336 360 363 369 378 385 396 405 410 420 432 440 451 462 484 492 495 504 528 540 560 567 574 594 605 615 616 617 630 648 656 660 693 720 726 738 756 770 792 810 820 840 847 861 880 891 902 924 945 968 984 990 1008 1080 1089 1107 1134 1148 1155 1188 1210 1230 1232 1234 1260 1296 1320 1353 1386 1435 1452 1476 1485 1512 1540 1584 1620 1640 1680 1694 1722 1782 1804 1815 1845 1848 1851 1890 1936 1968 1980 2079 2160 2178 2214 2255 2268 2296 2310 2376 2420 2460 2468 2520 2541 2583 2640 2706 2772 2835 2870 2904 2952 2970 3024 3080 3085 3157 3240 3267 3280 3321 3388 3444 3465 3564 3608 3630 3690 3696 3702 3780 3960 4059 4158 4235 4305 4319 4356 4428 4455 4510 4536 4592 4620 4752 4840 4920 4936 4961 5040 5082 5166 5412 5445 5535 5544 5553 5670 5740 5808 5904 5940 6160 6170 6237 6314 6480 6534 6642 6765 6776 6787 6888 6930 7128 7216 7260 7380 7404 7560 7623 7749 7920 8118 8316 8470 8610 8638 8712 8856 8910 9020 9072 9240 9255 9471 9680 9801 9840 9872 9922 10164 10332 10395 10824 10890 11070 11088 11106 11340 11480 11880 12177 12340 12474 12628 12705 12915 12957 13068 13284 13530 13552 13574 13776 13860 14256 14520 14760 14808 14883 15120 15246 15498 15785 16236 16335 16605 16632 16659 16940 17220 17276 17424 17712 17820 18040 18480 18510 18942 19602 19844 20295 20328 20361 20664 20790 21595 21648 21780 22140 22212 22680 22869 22960 23247 23760 24354 24680 24805 24948 25256 25297 25410 25830 25914 26136 26568 27060 27148 27720 27765 28413 29040 29520 29616 29766 30492 30996 31185 31570 32472 32670 33210 33264 33318 33880 33935 34440 34552 34727 35640 36080 36531 37020 37884 38115 38745 38871 39204 39688 40590 40656 40722 41328 41580 43190 43560 44280 44424 44649 45360 45738 46494 47355 47509 48708 49005 49360 49610 49896 49977 50512 50594 50820 51660 51828 52272 53136 54120 54296 55440 55530 56826 59532 60885 60984 61083 61992 62370 63140 64785 64944 65340 66420 66636 67760 67870 68607 68880 69104 69454 71280 73062 74040 74415 74657 75768 75891 76230 77490 77742 78408 79376 81180 81444 83160 83295 85239 86380 87120 88560 88848 89298 91476 92988 94710 95018 97416 98010 99220 99792 99954 101188 101640 101805 103320 103656 104181 108240 108592 111060 113652 114345 116235 116613 119064 121770 121968 122166 123984 124740 126280 126485 129570 130680 132840 133272 133947 135740 137214 138908 142065 142527 146124 148080 148830 149314 151536 151782 152460 154980 155484 156816 162360 162888 166320 166590 170478 172760 173635 177079 178596 182655 182952 183249 185976 189420 190036 194355 194832 196020 198440 199908 202376 203280 203610 206640 207312 208362 222120 223245 223971 227304 227673 228690 232470 233226 237545 238128 243540 244332 249480 249885 252560 252970 255717 259140 261360 265680 266544 267894 271480 274428 277816 278267 284130 285054 292248 297660 298628 303564 304920 305415 309960 310968 312543 324720 325776 333180 340956 343035 345520 347270 349839 354158 357192 365310 365904 366498 371952 373285 378840 379455 380072 388710 392040 396880 399816 401841 404752 407220 416724 426195 427581 444240 446490 447942 454608 455346 457380 464940 466452 475090 487080 488664 498960 499770 505940 511434 518280 520905 522599 531237 535788 542960 548856 549747 555632 556534 568260 570108 583065 584496 595320 597256 607128 609840 610830 619920 621936 625086 666360 669735 671913 681912 683019 686070 694540 699678 708316 712635 714384 730620 732996 746570 757680 758910 760144 777420 784080 799632 803682 814440 833448 834801 852390 855162 885395 892980 895884 910692 914760 916245 929880 932904 937629 950180 974160 977328 999540 1011880 1022868 1036560 1041810 1045198 1062474 1071576 1097712 1099494 1113068 1119855 1136520 1138365 1140216 1166130 1190640 1194512 1214256 1221660 1250172 1278585 1282743 1332720 1339470 1343826 1363824 1366038 1372140 1389080 1391335 1399356 1416632 1425270 1461240 1465992 1493140 1517820 1554840 1562715 1567797 1593711 1607364 1628880 1666896 1669602 1704780 1710324 1749195 1770790 1785960 1791768 1821384 1829520 1832490 1859760 1865808 1875258 1900360 1947869 1999080 2009205 2015739 2023760 2045736 2049057 2083620 2090396 2124948 2137905 2143152 2198988 2226136 2239710 2273040 2276730 2280432 2332260 2443320 2500344 2504403 2557170 2565486 2612995 2656185 2678940 2687652 2732076 2744280 2748735 2778160 2782670 2798712 2812887 2833264 2850540 2922480 2931984 2986280 3035640 3060937 3109680 3125430 3135594 3187422 3214728 3339204 3359565 3409560 3415095 3420648 3498390 3541580 3571920 3583536 3642768 3664980 3750516 3800720 3848229 3895738 3998160 4018410 4031478 4091472 4098114 4167240 4174005 4180792 4249896 4275810 4397976 4452272 4479420 4553460 4664520 4688145 4703391 4781133 4886640 5000688 5008806 5114340 5130972 5225990 5312370 5357880 5375304 5464152 5488560 5497470 5565340 5597424 5625774 5701080 5843607 5972560 6047217 6071280 6121874 6250860 6271188 6374844 6413715 6429456 6678408 6719130 6819120 6830190 6841296 6996780 7083160 7329960 7501032 7513209 7696458 7791476 7838985 7968555 8036820 8062956 8196228 8334480 8348010 8361584 8499792 8551620 8795952 8958840 9106920 9182811 9329040 9376290 9406782 9562266 9739345 10017612 10078695 10228680 10245285 10261944 10451980 10624740 10715760 10750608 10928304 10994940 11130680 11251548 11402160 11687214 12094434 12243748 12501720 12522015 12542376 12749688 12827430 13356816 13438260 13660380 13993560 14064435 14110173 14166320 14343399 14659920 15002064 15026418 15304685 15392916 15582952 15677970 15937110 16073640 16125912 16392456 16696020 17103240 17530821 17917680 18213840 18365622 18752580 18813564 19124532 19241145 19478690 20035224 20157390 20457360 20490570 20523888 20903960 21249480 21426559 21989880 22261360 22503096 22539627 23374428 23516955 23905665 24188868 24487496 25003440 25044030 25084752 25499376 25654860 26876520 27320760 27548433 27987120 28128870 28220346 28686798 29218035 30052836 30236085 30609370 30785832 31165904 31355940 31874220 32147280 32251824 32784912 33392040 34206480 35061642 36731244 37505160 37566045 37627128 38249064 38482290 38957380 40070448 40314780 40981140 41807920 42330519 42498960 42853118 43979760 45006192 45079254 45914055 46748856 47033910 47811330 48377736 48974992 50088060 51309720 52592463 53753040 54641520 55096866 56257740 56440692 57373596 58436070 60105672 60472170 61218740 61571664 62711880 63748440 64279677 66784080 70123284 70550865 71716995 73462488 75010320 75132090 75254256 76498128 76964580 77914760 80629560 81962280 82645299 84661038 85706236 87654105 90158508 91828110 93497712 94067820 95622660 96755472 100176120 102619440 105184926 107132795 110193732 112515480 112698135 112881384 114747192 116872140 120211344 120944340 122437480 125423760 127496880 128559354 137742165 140246568 141101730 143433990 146924976 150264180 153929160 155829520 157777389 161259120 163924560 165290598 169322076 171412472 175308210 180317016 183656220 188135640 191245320 192839031 200352240 210369852 211652595 214265590 220387464 225030960 225396270 225762768 229494384 233744280 241888680 244874960 247935897 257118708 262962315 275484330 280493136 282203460 286867980 300528360 307858320 315554778 321398385 330581196 338644152 342824944 350616420 360634032 367312440 376271280 382490640 385678062 413226495 420739704 423305190 428531180 440774928 450792540 467488560 483777360 495871794 514237416 525924630 550968660 564406920 573735960 578517093 601056720 631109556 642796770 661162392 677288304 701232840 734624880 771356124 788886945 826452990 841479408 846610380 857062360 901585080 964195155 991743588 1028474832 1051849260 1101937320 1128813840 1147471920 1157034186 1239679485 1262219112 1285593540 1322324784 1402465680 1542712248 1577773890 1652905980 1693220760 1714124720 1735551279 1803170160 1928390310 1983487176 2103698520 2203874640 2314068372 2479358970 2524438224 2571187080 2892585465 3085424496 3155547780 3305811960 3386441520 3471102558 3856780620 3966974352 4207397040 4628136744 4958717940 5142374160 5785170930 6311095560 6611623920 6942205116 7713561240 8677756395 9256273488 9917435880 11570341860 12622191120 13884410232 15427122480 17355512790 19834871760 23140683720 27768820464 34711025580 46281367440 69422051160 138844102320
• Sum of all divisors σ(n): 621552343104
• Sum of proper divisors (its aliquot sum) s(n): 482708240784
• 138844102320 is an abundant number, because the sum of its proper divisors (482708240784) is greater than itself. Its abundance is 343864138464

Bases of 138844102320

• Binary: 10000001010011110000001101111010110000₂
• Hexadecimal: 0x2053C0DEB0
• Base-36: 1RS86Z00

Squares and roots of 138844102320

• 138844102320 squared (138844102320²) is 19277684749046629382400
• 138844102320 cubed (138844102320³) is 2676592833789333732421064007168000
• The square root of 138844102320 is 372617.9039176727
• The cube root of 138844102320 is 5178.1641342821

Scales and comparisons

• 138,844,102,320 seconds is equal to 4,414 years, 42 weeks, 1 day, 22 hours, 12 minutes.
• To count from 1 to 138,844,102,320 would take you about eight thousand, eight hundred twenty-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 138844102320 cubic inches would be around 431.5 feet tall.

Recreational maths with 138844102320

• 138844102320 backwards is 023201448831
• 138844102320 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138844102320's digits is 36
• More coming soon!