138488648334400

Names of 138488648334400

• Cardinal: 138488648334400 can be written as One hundred thirty-eight trillion, four hundred eighty-eight billion, six hundred forty-eight million, three hundred thirty-four thousand, four hundred.

Scientific notation

• Scientific notation: 1.384886483344 × 10¹⁴

Factors of 138488648334400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 141

Divisors of 138488648334400

• Number of divisors d(n): 1701
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 53 56 61 64 65 70 80 91 98 100 104 106 112 122 130 140 160 169 175 182 196 200 208 212 224 244 245 260 265 280 305 320 325 338 350 364 371 392 400 416 424 427 448 455 488 490 520 530 560 610 637 650 676 689 700 728 742 784 793 800 832 845 848 854 910 976 980 1040 1060 1120 1183 1220 1225 1274 1300 1325 1352 1378 1400 1456 1484 1525 1568 1586 1600 1690 1696 1708 1820 1855 1952 1960 2080 2120 2135 2240 2275 2366 2440 2450 2548 2597 2600 2650 2704 2756 2800 2809 2912 2968 2989 3050 3136 3172 3185 3233 3380 3392 3416 3445 3640 3710 3721 3904 3920 3965 4160 4225 4240 4270 4550 4732 4823 4880 4900 5096 5194 5200 5300 5408 5512 5551 5600 5618 5824 5915 5936 5978 6100 6344 6370 6466 6760 6832 6890 7280 7420 7442 7840 7930 8281 8450 8480 8540 8957 9100 9275 9464 9646 9760 9800 10192 10309 10388 10400 10600 10675 10816 11024 11102 11200 11236 11830 11872 11956 12200 12688 12740 12932 12985 13520 13664 13780 14045 14560 14840 14884 14945 15680 15860 15925 16165 16562 16900 16960 17080 17225 17914 18200 18550 18605 18928 19292 19520 19600 19663 19825 20384 20618 20776 20800 21200 21350 22048 22204 22472 22631 23660 23744 23912 24115 24400 25376 25480 25864 25970 26047 27040 27328 27560 27755 28090 29120 29575 29680 29768 29890 31720 31850 32330 33124 33761 33800 34160 34450 35828 36400 36517 37100 37210 37856 38584 38857 39200 39326 39650 40768 41236 41405 41552 42029 42400 42700 44096 44408 44785 44944 45262 47320 47824 48230 48373 48800 50752 50960 51545 51728 51940 52094 54080 55120 55510 56180 59150 59360 59536 59780 62699 63440 63700 64660 64925 66248 67522 67600 68320 68900 70225 71656 72163 72800 73034 74200 74420 74725 75712 77168 77714 78400 78652 79300 80825 82472 82810 83104 84058 84800 85400 88816 89570 89888 90524 93025 94640 95648 96460 96746 97600 98315 101920 103090 103456 103880 104188 110240 111020 112360 113155 118300 118720 119072 119560 120575 125398 126880 127400 129320 129850 130235 132496 135044 135200 136640 137641 137800 138775 140450 143312 144326 145600 146068 148400 148840 149450 154336 155428 157304 158417 158600 161650 164944 165620 166208 168116 168805 170800 171349 177632 179140 179776 181048 182329 182585 186050 189280 191296 192920 193492 194285 196630 197213 203840 206180 206912 207025 207760 208376 210145 220480 222040 223925 224720 226310 236600 238144 239120 241150 241865 250796 253760 254800 255619 257725 258640 259700 260470 264992 270088 270400 275282 275600 277550 280900 286624 288652 292136 294203 296800 297680 298900 308672 310856 313495 314608 316834 317200 323300 329888 331240 336232 337610 338611 341600 342698 355264 358280 360815 362096 364658 365170 372100 378560 385840 386984 388570 393260 394426 412360 414050 415520 416752 420290 438893 444080 447850 449440 452620 473200 474721 478240 482300 483730 491575 501592 505141 509600 511238 515450 517280 519400 520940 529984 540176 546377 550564 551200 555100 561800 565775 573248 577304 584272 588406 593600 595360 597800 621712 626990 628849 629216 633668 634400 646600 651175 659776 662480 672464 675220 677222 683200 685396 688205 716560 721630 724192 729316 730340 744200 771680 773968 777140 786520 788852 792085 824720 828100 831040 833504 840580 844025 856745 877786 888160 895700 898880 905240 911645 912925 946400 949442 956480 964600 967460 971425 983150 986065 1003184 1010282 1019200 1022476 1030900 1034560 1038800 1041880 1050725 1080352 1092754 1101128 1102400 1110200 1123600 1131550 1154608 1168544 1176812 1190720 1195600 1199443 1209325 1243424 1253980 1257698 1258432 1267336 1268800 1278095 1293200 1302350 1324960 1344928 1350440 1354444 1370792 1376410 1380491 1433120 1443260 1448384 1458632 1460680 1471015 1488400 1543360 1547936 1554280 1567475 1573040 1577704 1584170 1649440 1656200 1667008 1681160 1688050 1693055 1713490 1755572 1776320 1789333 1791400 1804075 1810480 1823290 1825850 1892800 1898884 1929200 1934920 1942850 1966300 1972130 2006368 2020564 2044952 2059421 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997936576 1004997448 1006158400 1013529335 1024324322 1025507600 1045228900 1063375040 1066527904 1070898920 1087038056 1091493130 1104392800 1148568512 1158319240 1163066450 1166514895 1170656368 1223884480 1232544040 1247420720 1256246810 1329218800 1333159880 1338623650 1343376160 1358797570 1408621760 1418941069 1431466400 1435710640 1447899050 1463320460 1488725056 1529855600 1540680050 1546149920 1559275900 1621646936 1633120853 1647536800 1666449850 1672366240 1679220200 1713438272 1746389008 1760777200 1766436841 1782029600 1794638300 1829150575 1853310784 1860906320 1866423832 1896221600 1902316598 1919108800 1932687400 1972070464 2009994896 2027058670 2048648644 2051015200 2090457800 2133055808 2141797840 2174076112 2182986260 2208785600 2316638480 2326132900 2333029790 2341312736 2465088080 2494841440 2512493620 2560810805 2658437600 2666319760 2677247300 2686752320 2717595140 2728732825 2837882138 2862932800 2871421280 2895798100 2926640920 3059711200 3081360100 3092299840 3118551800 3140617025 3243293872 3266241706 3295073600 3332899700 3344732480 3358440400 3396993925 3492778016 3521554400 3532873682 3564059200 3589276600 3658301150 3721812640 3732847664 3792443200 3804633196 3865374800 4019989792 4054117340 4097297288 4102030400 4180915600 4283595680 4348152224 4365972520 4633276960 4652265800 4666059580 4682625472 4755791495 4930176160 4989682880 5024987240 5067646675 5121621610 5316875200 5332639520 5354494600 5435190280 5457465650 5675764276 5742842560 5791596200 5832574475 5853281840 6119422400 6162720200 6237103600 6281234050 6486587744 6532483412 6658108093 6665799400 6716880800 6793987850 6985556032 7043108800 7065747364 7094705345 7178553200 7316602300 7443625280 7465695328 7609266392 7730749600 8039979584 8108234680 8165604265 8194594576 8361831200 8567191360 8696304448 8731945040 8832184205 9266553920 9304531600 9332119160 9511582990 9860352320 10049974480 10135293350 10243243220 10665279040 10708989200 10870380560 10914931300 11351528552 11583192400 11665148950 11706563680 12325440400 12365057887 12474207200 12562468100 12804054025 12973175488 13064966824 13316216186 13331598800 13433761600 13587975700 14131494728 14189410690 14357106400 14633204600 14931390656 15218532784 15461499200 16216469360 16331208530 16389189152 16723662400 17463890080 17664368410 18609063200 18664238320 19023165980 20099948960 20270586700 20486486440 21417978400 21740761120 21829862600 22703057104 23166384800 23330297900 23413127360 23778957475 24650880800 24730115774 24948414400 25124936200 25608108050 26129933648 26632432372 26663197600 27175951400 28262989456 28378821380 28714212800 29266409200 30437065568 32432938720 32662417060 32778378304 33290540465 34927780160 35328736820 35473526725 37218126400 37328476640 38046331960 40199897920 40541173400 40828021325 40972972880 42835956800 43481522240 43659725200 44160921025 45406114208 46332769600 46660595800 47557914950 49301761600 49460231548 50249872400 51216216100 52259867296 53264864744 53326395200 54351902800 56525978912 56757642760 58532818400 60874131136 61825289435 64865877440 65324834120 66581080930 70657473640 70947053450 74656953280 76092663920 81082346800 81656042650 81945945760 86555405209 87319450400 88321842050 90812228416 93321191600 95115829900 98920463096 100499744800 102432432200 104519734592 106529729488 108703805600 113051957824 113515285520 117065636800 123650578870 130649668240 133162161860 141314947280 141894106900 152185327840 162164693600 163312085300 163891891520 166452702325 173110810418 174638900800 176643684100 186642383200 190231659800 197840926192 200999489600 204864864400 213059458976 217407611200 227030571040 247301157740 261299336480 266324323720 282629894560 283788213800 304370655680 309126447175 324329387200 326624170600 332905404650 346221620836 353287368200 373284766400 380463319600 395681852384 409729728800 426118917952 432777026045 454061142080 494602315480 522598672960 532648647440 565259789120 567576427600 618252894350 653248341200 665810809300 692443241672 706574736400 760926639200 791363704768 819459457600 865554052090 989204630960 1065297294880 1135152855200 1236505788700 1306496682400 1331621618600 1384886483344 1413149472800 1521853278400 1731108104180 1978409261920 2130594589760 2163885130225 2270305710400 2473011577400 2612993364800 2663243237200 2769772966688 2826298945600 3462216208360 3956818523840 4327770260450 4946023154800 5326486474400 5539545933376 6924432416720 8655540520900 9892046309600 10652972948800 13848864833440 17311081041800 19784092619200 27697729666880 34622162083600 69244324167200 138488648334400
• Sum of all divisors σ(n): 444783890741463
• Sum of proper divisors (its aliquot sum) s(n): 306295242407063
• 138488648334400 is an abundant number, because the sum of its proper divisors (306295242407063) is greater than itself. Its abundance is 167806594072663

Bases of 138488648334400

• Binary: 11111011111010001100110101100000111110001000000₂
• Hexadecimal: 0x7DF466B07C40
• Base-36: 1D38T1JPDS

Squares and roots of 138488648334400

• 138488648334400 squared (138488648334400²) is 19179105717489111894223360000
• 138488648334400 cubed (138488648334400³) is 2656088427077630012880071153845571584000000
• 138488648334400 is a perfect square number. Its square root is 11768120
• The cube root of 138488648334400 is 51737.4149529579

Scales and comparisons

• 138,488,648,334,400 seconds is equal to 4,403,510 years, 33 weeks, 3 days, 5 hours, 46 minutes, 40 seconds.
• To count from 1 to 138,488,648,334,400 would take you about eleven million, eight thousand, seven hundred seventy-six 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 138488648334400 cubic inches would be around 4311.5 feet tall.

Recreational maths with 138488648334400

• 138488648334400 backwards is 004433846884831
• 138488648334400 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138488648334400's digits is 64
• More coming soon!