138514776400

Names of 138514776400

• Cardinal: 138514776400 can be written as One hundred thirty-eight billion, five hundred fourteen million, seven hundred seventy-six thousand, four hundred.

Scientific notation

• Scientific notation: 1.385147764 × 10¹¹

Factors of 138514776400

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 297

Divisors of 138514776400

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 29 35 40 44 50 52 55 56 58 65 70 77 79 80 88 91 100 104 110 112 116 130 140 143 145 151 154 158 175 176 182 200 203 208 220 232 260 275 280 286 290 302 308 316 319 325 350 364 377 385 395 400 406 440 455 464 520 550 553 560 572 580 604 616 632 638 650 700 715 725 728 754 755 770 790 812 869 880 910 1001 1015 1027 1040 1057 1100 1106 1144 1160 1208 1232 1264 1276 1300 1400 1430 1450 1456 1508 1510 1540 1580 1595 1624 1661 1738 1820 1885 1925 1963 1975 2002 2030 2054 2114 2200 2212 2233 2275 2288 2291 2320 2416 2552 2600 2639 2765 2800 2860 2900 3016 3020 3080 3160 3190 3248 3322 3476 3575 3640 3770 3775 3850 3926 3950 4004 4060 4108 4147 4228 4345 4379 4400 4424 4466 4550 4582 5005 5075 5104 5135 5200 5278 5285 5530 5720 5800 6032 6040 6083 6160 6320 6380 6644 6952 7150 7189 7280 7540 7550 7700 7852 7900 7975 8008 8120 8216 8294 8305 8456 8690 8758 8848 8932 9100 9164 9425 9815 10010 10150 10270 10556 10570 11060 11165 11297 11440 11455 11600 11627 11929 12080 12166 12760 13195 13288 13741 13825 13904 14300 14378 15080 15100 15400 15704 15800 15950 16016 16037 16240 16432 16588 16610 16912 17380 17516 17864 18200 18328 18850 19630 20020 20300 20540 20735 21112 21140 21593 21725 21895 22120 22330 22594 22910 23254 23858 24332 25025 25201 25520 25675 26390 26425 26576 27482 27650 28600 28756 29029 29783 30160 30200 30415 30653 30800 31408 31600 31900 32074 33176 33220 34760 35032 35728 35945 36400 36656 37700 39260 40040 40600 41080 41470 41525 42224 42280 43186 43450 43790 44240 44660 45188 45820 46508 47716 48169 48664 49075 50050 50402 51350 52780 52850 54964 55300 55825 56485 56927 57200 57275 57512 58058 58135 59566 59645 60400 60830 61306 63800 64148 65975 66352 66440 68705 69520 70064 71890 75400 78520 79079 80080 80185 81200 82160 82940 83050 83503 84560 86372 86900 87580 89320 90376 91640 93016 95432 96338 97328 98150 100100 100804 102700 103675 105560 105700 107965 109475 109928 110600 111650 112970 113854 114550 115024 116116 116270 119132 119290 121660 122612 126005 127600 128296 131219 131950 132880 137410 143780 145145 148915 150800 151151 152075 153265 155077 157040 158158 160370 165880 166100 167006 172744 173800 175160 176407 178640 179725 180752 183280 186032 190864 192676 196300 200200 201608 205400 207350 208481 211120 211400 215930 218950 219856 221200 223300 225940 227708 229100 232232 232540 238264 238580 240845 243320 245224 252010 256592 262438 263900 274820 282425 284635 287560 290290 290675 297830 298225 302302 304150 306530 310154 316316 320740 327613 331760 332200 334012 337183 343525 345488 345941 347600 350320 352814 359450 385352 392600 395395 398489 400400 400925 403216 410800 414700 416962 417515 422800 431860 437900 446600 451880 455416 458200 464464 465080 476528 477160 481690 486640 490448 504020 524876 527800 539825 549640 564850 569270 575120 580580 581350 595660 596450 604604 608300 613060 620308 626197 630025 632632 641480 655226 656095 664400 668024 674366 687050 691882 705628 718900 725725 744575 755755 766325 770704 775385 785200 790790 796978 801850 829400 833924 835030 863720 875800 882035 893200 903760 910832 916400 918533 930160 954320 963380 1008040 1042405 1049752 1055600 1079650 1085539 1099280 1129700 1138540 1161160 1162700 1191320 1192900 1204225 1209208 1216600 1226120 1240616 1252394 1260050 1265264 1282960 1310452 1312190 1336048 1348732 1374100 1383764 1411256 1423175 1437800 1451450 1489150 1511510 1532650 1550770 1581580 1593956 1603700 1638065 1658800 1667848 1670060 1685915 1705847 1727440 1729705 1751600 1764070 1837066 1926760 1976975 1992445 2016080 2084810 2087575 2099504 2159300 2171078 2259400 2277080 2293291 2322320 2325400 2382640 2385800 2408450 2418416 2421587 2433200 2452240 2481232 2504788 2520100 2620904 2624380 2697464 2748200 2767528 2822512 2846350 2875600 2902900 2978300 3023020 3065300 3101540 3130985 3163160 3187912 3207400 3276130 3280475 3335696 3340120 3371830 3411694 3459410 3528140 3674132 3778775 3805351 3853520 3876925 3953950 3984890 4169620 4175150 4318600 4342156 4383379 4410175 4497233 4518800 4554160 4586582 4592665 4650800 4771600 4816900 4843174 5009576 5040200 5212025 5241808 5248760 5394928 5427695 5496400 5535056 5692700 5805800 5956600 6046040 6130600 6203080 6261970 6326320 6375824 6414800 6552260 6560950 6680240 6743660 6823388 6918820 7056280 7348264 7557550 7610702 7753850 7907900 7969780 8190325 8339240 8350300 8429575 8529235 8637200 8648525 8684312 8766758 8820350 8994466 9173164 9185330 9633800 9686348 9962225 10019152 10080400 10424050 10497520 10855390 11385400 11466455 11611600 11913200 11940929 12092080 12107935 12261200 12406160 12523940 13104520 13121900 13487320 13646776 13837640 14112560 14696528 15115100 15221404 15507700 15654925 15815800 15939560 16380650 16678480 16700600 16859150 17058470 17297050 17368624 17533516 17640700 17988932 18346328 18370660 19026755 19267600 19372696 19924450 20848100 21710780 21916895 22486165 22770800 22932910 22963325 23881858 24215870 25047880 26209040 26243800 26637457 26974640 27138475 27293552 27675280 30230200 30442808 31015400 31309850 31480631 31631600 31879120 32761300 33401200 33718300 34116940 34594100 35067032 35281400 35977864 36692656 36741320 38053510 38745392 39848900 41696200 42646175 43421560 43833790 44972330 45865820 45926650 47763716 48431740 49469563 50095760 52487600 53274914 54276950 57332275 59704645 60460400 60539675 60885616 62030800 62619700 62961262 65522600 67436600 68233880 69188200 70134064 70562800 71955728 73482640 76107020 79697800 83392400 85292350 86843120 87667580 89944660 91731640 91853300 95133775 95527432 96863480 98939126 106549828 108553900 109584475 112430825 114664550 119409290 121079350 125239400 125922524 131045200 133187285 134873200 136467760 138376400 152214040 157403155 159395600 170584700 175335160 179889320 183463280 183706600 190267550 191054864 193726960 197878252 213099656 217107800 219168950 224861650 229329100 238818580 242158700 247347815 250478800 251845048 266374570 298523225 304428080 314806310 341169400 346286941 350670320 359778640 367413200 380535100 395756504 426199312 434215600 438337900 449723300 458658200 477637160 484317400 494695630 503690096 532749140 597046450 629612620 665936425 682338800 692573882 761070200 787015775 791513008 876675800 899446600 917316400 955274320 968634800 989391260 1065498280 1194092900 1236739075 1259225240 1331872850 1385147764 1522140400 1574031550 1731434705 1753351600 1798893200 1978782520 2130996560 2388185800 2473478150 2518450480 2663745700 2770295528 3148063100 3462869410 3957565040 4776371600 4946956300 5327491400 5540591056 6296126200 6925738820 8657173525 9893912600 10654982800 12592252400 13851477640 17314347050 19787825200 27702955280 34628694100 69257388200 138514776400
• Sum of all divisors σ(n): 471169843200
• Sum of proper divisors (its aliquot sum) s(n): 332655066800
• 138514776400 is an abundant number, because the sum of its proper divisors (332655066800) is greater than itself. Its abundance is 194140290400

Bases of 138514776400

• Binary: 10000001000000000111111100000101010000₂
• Hexadecimal: 0x20401FC150
• Base-36: 1RMS4DHS

Squares and roots of 138514776400

• 138514776400 squared (138514776400²) is 19186343281141996960000
• 138514776400 cubed (138514776400³) is 2657592049521026045563879744000000
• The square root of 138514776400 is 372175.7332228957
• The cube root of 138514776400 is 5174.0668441203

Scales and comparisons

• 138,514,776,400 seconds is equal to 4,404 years, 17 weeks, 5 days, 6 hours, 46 minutes, 40 seconds.
• To count from 1 to 138,514,776,400 would take you about eight thousand, eight hundred 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 138514776400 cubic inches would be around 431.2 feet tall.

Recreational maths with 138514776400

• 138514776400 backwards is 004677415831
• The number of decimal digits it has is: 12
• The sum of 138514776400's digits is 46
• More coming soon!