138776030400

Names of 138776030400

• Cardinal: 138776030400 can be written as One hundred thirty-eight billion, seven hundred seventy-six million, thirty thousand, four hundred.

Scientific notation

• Scientific notation: 1.387760304 × 10¹¹

Factors of 138776030400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1418

Divisors of 138776030400

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 32 35 38 40 42 48 50 56 57 60 64 70 75 76 80 84 95 96 100 105 112 114 120 133 140 150 152 160 168 175 181 190 192 200 210 224 228 240 266 280 285 300 304 320 336 350 362 380 399 400 420 448 456 475 480 525 532 543 560 570 600 608 665 672 700 724 760 798 800 840 905 912 950 960 1050 1064 1086 1120 1140 1200 1201 1216 1267 1330 1344 1400 1425 1448 1520 1596 1600 1680 1810 1824 1900 1995 2100 2128 2172 2240 2280 2400 2402 2534 2660 2715 2800 2850 2896 3040 3192 3325 3360 3439 3603 3620 3648 3800 3801 3990 4200 4256 4344 4525 4560 4800 4804 5068 5320 5430 5600 5700 5792 6005 6080 6335 6384 6650 6720 6878 7206 7240 7600 7602 7980 8400 8407 8512 8688 9050 9120 9608 9975 10136 10317 10640 10860 11200 11400 11584 12010 12670 12768 13300 13575 13756 14412 14480 15200 15204 15960 16800 16814 17195 17376 18015 18100 18240 19005 19216 19950 20272 20634 21280 21720 22800 22819 24020 24073 25221 25340 25536 26600 27150 27512 28824 28960 30025 30400 30408 31675 31920 33600 33628 34390 34752 36030 36200 38010 38432 39900 40544 41268 42035 42560 43440 45600 45638 48040 48146 50442 50680 51585 53200 54300 55024 57648 57920 60050 60816 63350 63840 67256 68457 68780 72060 72219 72400 76020 76864 79800 81088 82536 84070 85975 86880 90075 91200 91276 95025 96080 96292 100884 101360 103170 106400 108600 110048 114095 115296 120100 120365 121632 126105 126700 127680 134512 136914 137560 144120 144438 144800 152040 159600 159733 165072 168140 171950 173760 180150 182552 190050 192160 192584 201768 202720 206340 210175 212800 217200 217381 220096 228190 230592 240200 240730 243264 252210 253400 257925 269024 273828 275120 288240 288876 289600 304080 319200 319466 330144 336280 342285 343900 360300 361095 365104 380100 384320 385168 403536 405440 412680 420350 434400 434762 456380 479199 480400 481460 504420 506800 515850 538048 547656 550240 570475 576480 577752 601825 608160 630525 638400 638932 652143 660288 672560 684570 687800 720600 722190 730208 760200 770336 798665 807072 825360 840700 868800 869524 912760 958398 960800 962920 1008840 1013600 1031700 1086905 1095312 1100480 1140950 1152960 1155504 1203650 1216320 1261050 1277864 1304286 1345120 1369140 1375600 1441200 1444380 1460416 1520400 1521667 1540672 1597330 1614144 1650720 1681400 1711425 1739048 1805475 1825520 1916796 1921600 1925840 2017680 2027200 2063400 2173810 2190624 2281900 2311008 2395995 2407300 2522100 2555728 2608572 2690240 2738280 2751200 2882400 2888760 3040800 3043334 3194660 3260715 3301440 3362800 3422850 3478096 3610950 3651040 3833592 3851680 3993325 4035360 4126800 4130239 4347620 4381248 4563800 4565001 4622016 4791990 4814600 5044200 5111456 5217144 5434525 5476560 5502400 5764800 5777520 6081600 6086668 6389320 6521430 6725600 6845700 6956192 7221900 7302080 7608335 7667184 7703360 7986650 8070720 8253600 8260478 8695240 9127600 9130002 9583980 9629200 10088400 10222912 10434288 10869050 10953120 11555040 11979975 12173336 12390717 12778640 13042860 13451200 13691400 13912384 14443800 15216670 15334368 15973300 16303575 16507200 16520956 17390480 18255200 18260004 19167960 19258400 20176800 20651195 20868576 21738100 21906240 22825005 23110080 23959950 24346672 24781434 25557280 26085720 27382800 28887600 28911673 30433340 30668736 31946600 32607150 33041912 34780960 36510400 36520008 38041675 38335920 38516800 40353600 41302390 41737152 43476200 45650010 47919900 48693344 49562868 51114560 52171440 54765600 57775200 57823346 60866680 61953585 63893200 65214300 66083824 69561920 73040016 76083350 76671840 82604780 86735019 86952400 91300020 95839800 97386688 99125736 103255975 104342880 109531200 114125025 115550400 115646692 121733360 123907170 127786400 130428600 132167648 144558365 146080032 152166700 153343680 165209560 173470038 173904800 182600040 191679600 198251472 206511950 208685760 228250050 231293384 243466720 247814340 255572800 260857200 264335296 289116730 292160064 304333400 309767925 330419120 346940076 347809600 365200080 383359200 396502944 413023900 433675095 456500100 462586768 486933440 495628680 521714400 578233460 608666800 619535850 660838240 693880152 722791825 730400160 766718400 793005888 826047800 867350190 913000200 925173536 991257360 1043428800 1156466920 1217333600 1239071700 1321676480 1387760304 1445583650 1460800320 1652095600 1734700380 1826000400 1850347072 1982514720 2168375475 2312933840 2434667200 2478143400 2775520608 2891167300 3304191200 3469400760 3652000800 3965029440 4336750950 4625867680 4956286800 5551041216 5782334600 6608382400 6938801520 7304001600 8673501900 9251735360 9912573600 11564669200 13877603040 17347003800 19825147200 23129338400 27755206080 34694007600 46258676800 69388015200 138776030400
• Sum of all divisors σ(n): 551215275520
• Sum of proper divisors (its aliquot sum) s(n): 412439245120
• 138776030400 is an abundant number, because the sum of its proper divisors (412439245120) is greater than itself. Its abundance is 273663214720

Bases of 138776030400

• Binary: 10000001001111101100100010110011000000₂
• Hexadecimal: 0x204FB22CC0
• Base-36: 1RR3NYDC

Squares and roots of 138776030400

• 138776030400 squared (138776030400²) is 19258786613581724160000
• 138776030400 cubed (138776030400³) is 2672657956553530404912574464000000
• The square root of 138776030400 is 372526.5499263107
• The cube root of 138776030400 is 5177.3177528853

Scales and comparisons

• 138,776,030,400 seconds is equal to 4,412 years, 33 weeks, 5 days, 1 hour, 20 minutes.
• To count from 1 to 138,776,030,400 would take you about eight thousand, eight hundred twenty-five 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 138776030400 cubic inches would be around 431.4 feet tall.

Recreational maths with 138776030400

• 138776030400 backwards is 004030677831
• The number of decimal digits it has is: 12
• The sum of 138776030400's digits is 39
• More coming soon!