137385800640

Names of 137385800640

• Cardinal: 137385800640 can be written as One hundred thirty-seven billion, three hundred eighty-five million, eight hundred thousand, six hundred forty.

Scientific notation

• Scientific notation: 1.3738580064 × 10¹¹

Factors of 137385800640

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 386

Divisors of 137385800640

• Number of divisors d(n): 1008
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 23 24 30 32 33 36 40 44 45 46 48 55 60 61 64 66 69 72 80 88 90 92 96 99 110 115 120 121 122 132 138 144 160 165 176 180 183 184 192 198 207 220 230 240 242 244 253 264 276 281 288 305 320 330 345 352 360 363 366 368 396 414 440 460 480 484 488 495 506 528 549 552 562 576 605 610 660 671 690 704 720 726 732 736 759 792 828 843 880 915 920 960 968 976 990 1012 1035 1056 1089 1098 1104 1124 1210 1220 1265 1320 1342 1380 1403 1405 1440 1452 1464 1472 1518 1584 1656 1686 1760 1815 1830 1840 1936 1952 1980 2013 2024 2070 2112 2178 2196 2208 2248 2277 2420 2440 2529 2530 2640 2684 2745 2760 2783 2806 2810 2880 2904 2928 3036 3091 3168 3312 3355 3372 3520 3630 3660 3680 3795 3872 3904 3960 4026 4048 4140 4209 4215 4356 4392 4416 4496 4554 4840 4880 5058 5060 5280 5368 5445 5490 5520 5566 5612 5620 5808 5856 6039 6072 6182 6336 6463 6624 6710 6744 7015 7260 7320 7360 7381 7590 7744 7920 8052 8096 8280 8349 8418 8430 8712 8784 8992 9108 9273 9680 9760 10065 10116 10120 10560 10736 10890 10980 11040 11132 11224 11240 11385 11616 11712 12078 12144 12364 12627 12645 12926 13248 13420 13488 13915 14030 14520 14640 14762 15180 15433 15455 15840 16104 16192 16560 16698 16836 16860 17141 17424 17568 17984 18216 18546 19360 19389 19520 20130 20232 20240 21045 21472 21780 21960 22080 22143 22264 22448 22480 22770 23232 24156 24288 24728 25047 25254 25290 25852 26840 26976 27819 27830 28060 29040 29280 29524 30195 30360 30866 30910 31680 32208 32315 33120 33396 33672 33720 34001 34282 34848 35136 36432 36905 37092 38720 38778 40260 40464 40480 41745 42090 42944 43560 43920 44286 44528 44896 44960 45540 46299 46365 48312 48576 49456 50094 50508 50580 51423 51704 53680 53952 55638 55660 56120 58080 58167 58560 59048 60390 60720 61732 61820 63135 64416 64630 66240 66429 66792 67344 67440 68002 68564 69696 71093 72864 73810 74184 77165 77556 80520 80928 80960 83490 84180 85705 87120 87840 88572 89056 89792 89920 91080 92598 92730 96624 96945 98912 100188 101016 101160 102003 102846 103408 107360 110715 111276 111320 112240 116160 116334 118096 120780 121440 123464 123640 125235 126270 128832 129260 132858 133584 134688 134880 136004 137128 138897 139095 142186 145728 147620 148368 154269 154330 155112 161040 161856 166980 168360 169763 170005 171410 174240 175680 177144 178112 182160 185196 185460 188551 193248 193890 197824 200376 202032 202320 204006 205692 206816 213279 214720 221430 222552 222640 224480 231495 232668 236192 241560 242880 246928 247280 250470 252540 257115 258520 265716 267168 269376 269760 272008 274256 277794 278190 284372 290835 295240 296736 306009 308538 308660 310224 322080 332145 333960 336720 339526 340010 342820 348480 354288 355465 364320 370392 370920 377102 386496 387780 394243 400752 404064 404640 408012 411384 413632 426558 442860 445104 445280 448960 462990 465336 472384 483120 493856 494560 500940 505080 509289 510015 514230 517040 531432 534336 544016 548512 555588 556380 565653 568744 581670 590480 593472 612018 617076 617320 620448 639837 644160 664290 667920 673440 679052 680020 685640 694485 708576 710930 728640 740784 741840 754204 771345 775560 782023 788486 801504 808128 809280 816024 822768 848815 853116 885720 890208 890560 925980 930672 942755 966240 987712 989120 1001880 1010160 1018578 1020030 1028460 1034080 1062864 1066395 1088032 1097024 1111176 1112760 1131306 1137488 1163340 1180960 1182729 1224036 1234152 1234640 1240896 1279674 1328580 1335840 1346880 1358104 1360040 1371280 1388970 1417152 1421860 1481568 1483680 1508408 1527867 1530045 1542690 1551120 1564046 1576972 1603008 1632048 1645536 1696959 1697630 1706232 1771440 1780416 1851960 1861344 1885510 1932480 1971215 2003760 2020320 2037156 2040060 2056920 2068160 2074061 2125728 2132790 2176064 2222352 2225520 2262612 2274976 2326680 2346069 2361920 2365458 2448072 2468304 2469280 2546445 2559348 2657160 2671680 2716208 2720080 2742560 2777940 2828265 2843720 2963136 2967360 3016816 3055734 3060090 3085380 3102240 3128092 3153944 3199185 3264096 3291072 3393918 3395260 3412464 3542880 3548187 3703920 3722688 3771020 3910115 3942430 4007520 4040640 4074312 4080120 4113840 4148122 4251456 4265580 4336673 4444704 4451040 4525224 4549952 4653360 4692138 4730916 4896144 4936608 4938560 5092890 5118696 5314320 5432416 5440160 5485120 5555880 5656530 5687440 5913645 6033632 6111468 6120180 6170760 6204480 6222183 6256184 6307888 6398370 6528192 6787836 6790520 6824928 7038207 7085760 7096374 7407840 7542040 7639335 7820230 7884860 8015040 8148624 8160240 8227680 8296244 8484795 8531160 8673346 8889408 8902080 9050448 9306720 9384276 9461832 9792288 9873216 10185780 10237392 10370305 10628640 10864832 10880320 11111760 11313060 11374880 11730345 11827290 12067264 12222936 12240360 12341520 12444366 12512368 12615776 12796740 13010019 13575672 13581040 13649856 14076414 14192748 14815680 15084080 15278670 15640460 15769720 16297248 16320480 16455360 16592488 16969590 17062320 17346692 17740935 18100896 18613440 18666549 18768552 18923664 19584576 20371560 20474784 20740610 21257280 21683365 22223520 22626120 22749760 23460690 23654580 24445872 24480720 24683040 24888732 25024736 25231552 25593480 26020038 27151344 27162080 28152828 28385496 30168160 30557340 31110915 31280920 31539440 32594496 32640960 33184976 33939180 34124640 34693384 35191035 35481870 36201792 37333098 37537104 37847328 39030057 40743120 40949568 41481220 43366730 44447040 45252240 46921380 47309160 47703403 48891744 48961440 49366080 49777464 50049472 51186960 52040076 54302688 54324160 56305656 56770992 60336320 61114680 62221830 62561840 63078880 65050095 66369952 67878360 68249280 69386768 70382070 70963740 74666196 75074208 75694656 78060114 81486240 82962440 86733460 90504480 93332745 93842760 94618320 95406806 97783488 97922880 99554928 102373920 104080152 108605376 112611312 113541984 122229360 124443660 125123680 126157760 130100190 132739904 135756720 138773536 140764140 141927480 143110209 149332392 150148416 156120228 162972480 165924880 173466920 181008960 186665490 187685520 189236640 190813612 195150285 199109856 204747840 208160304 225222624 227083968 238517015 244458720 248887320 250247360 260200380 271513440 277547072 281528280 283854960 286220418 298664784 312240456 331849760 346933840 373330980 375371040 378473280 381627224 390300570 398219712 416320608 429330627 450445248 477034030 488917440 497774640 520400760 543026880 563056560 567709920 572440836 597329568 624480912 663699520 693867680 715551045 746661960 750742080 763254448 780601140 832641216 858661254 954068060 995549280 1040801520 1126113120 1135419840 1144881672 1194659136 1248961824 1387735360 1431102090 1493323920 1526508896 1561202280 1717322508 1908136120 1991098560 2081603040 2146653135 2252226240 2289763344 2497923648 2862204180 2986647840 3053017792 3122404560 3434645016 3816272240 4163206080 4293306270 4579526688 5724408360 5973295680 6244809120 6869290032 7632544480 8586612540 9159053376 11448816720 12489618240 13738580064 15265088960 17173225080 22897633440 27477160128 34346450160 45795266880 68692900320 137385800640
• Sum of all divisors σ(n): 552843240768
• Sum of proper divisors (its aliquot sum) s(n): 415457440128
• 137385800640 is an abundant number, because the sum of its proper divisors (415457440128) is greater than itself. Its abundance is 278071639488

Bases of 137385800640

• Binary: 1111111111100110101001111001111000000₂
• Hexadecimal: 0x1FFCD4F3C0
• Base-36: 1R43YI80

Squares and roots of 137385800640

• 137385800640 squared (137385800640²) is 18874858217493824409600
• 137385800640 cubed (137385800640³) is 2593137508176872320768471302144000
• The square root of 137385800640 is 370655.9059828941
• The cube root of 137385800640 is 5159.9712635861

Scales and comparisons

• 137,385,800,640 seconds is equal to 4,368 years, 23 weeks, 10 hours, 24 minutes.
• To count from 1 to 137,385,800,640 would take you about eight thousand, seven hundred thirty-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 137385800640 cubic inches would be around 430 feet tall.

Recreational maths with 137385800640

• 137385800640 backwards is 046008583731
• 137385800640 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137385800640's digits is 45
• More coming soon!