137188816128

Names of 137188816128

• Cardinal: 137188816128 can be written as One hundred thirty-seven billion, one hundred eighty-eight million, eight hundred sixteen thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.37188816128 × 10¹¹

Factors of 137188816128

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 186

Divisors of 137188816128

• Number of divisors d(n): 1440
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 23 24 26 27 28 29 32 36 39 42 46 48 52 54 56 58 63 64 69 72 78 81 84 87 91 92 96 104 108 109 112 116 117 126 128 138 144 156 161 162 168 174 182 184 189 192 203 207 208 216 218 224 232 234 252 256 261 273 276 288 299 312 322 324 327 336 348 351 364 368 377 378 384 406 414 416 432 436 448 464 468 483 504 522 546 552 567 576 598 609 621 624 644 648 654 667 672 696 702 728 736 754 756 763 768 783 812 819 828 832 864 872 896 897 928 936 966 981 1008 1044 1053 1092 1104 1131 1134 1152 1196 1218 1242 1248 1288 1296 1308 1334 1344 1392 1404 1417 1449 1456 1472 1508 1512 1526 1566 1624 1638 1656 1664 1728 1744 1792 1794 1827 1856 1863 1872 1932 1962 2001 2016 2088 2093 2106 2184 2208 2262 2268 2289 2304 2349 2392 2436 2457 2484 2496 2507 2576 2592 2616 2639 2668 2688 2691 2784 2808 2834 2898 2912 2943 2944 3016 3024 3052 3132 3161 3248 3276 3312 3328 3393 3456 3488 3588 3654 3712 3726 3744 3864 3924 4002 4032 4176 4186 4212 4251 4347 4368 4416 4524 4536 4578 4669 4698 4784 4872 4914 4968 4992 5014 5152 5184 5232 5278 5336 5376 5382 5481 5568 5616 5668 5796 5824 5886 5888 6003 6032 6048 6104 6264 6279 6322 6496 6552 6624 6786 6867 6912 6976 7176 7308 7371 7424 7452 7488 7521 7728 7848 7917 8004 8064 8073 8352 8372 8424 8502 8671 8694 8736 8829 8832 9048 9072 9156 9338 9396 9483 9568 9744 9828 9919 9936 9984 10028 10179 10304 10368 10464 10556 10672 10764 10962 11136 11232 11336 11592 11648 11772 12006 12064 12096 12208 12528 12558 12644 12753 12992 13041 13104 13248 13572 13734 13952 14007 14352 14616 14742 14904 14976 15042 15456 15696 15834 16008 16128 16146 16443 16704 16744 16848 17004 17342 17388 17472 17549 17658 17664 18009 18096 18144 18312 18676 18792 18837 18966 19136 19488 19656 19838 19872 20056 20358 20601 20608 20736 20928 21112 21344 21528 21924 22127 22272 22464 22563 22672 23184 23296 23544 23751 24012 24128 24192 24219 24416 25056 25116 25288 25506 25984 26013 26082 26208 26496 27144 27468 27904 28014 28449 28704 29232 29484 29757 29808 29952 30084 30537 30912 31392 31668 32016 32292 32591 32886 33408 33488 33696 34008 34684 34776 34944 35098 35316 36018 36192 36288 36624 37352 37584 37674 37932 38259 38272 38976 39312 39676 39744 40112 40716 41093 41202 41216 41856 42021 42224 42688 43056 43848 44254 44928 45126 45344 46368 47088 47502 48024 48256 48384 48438 48832 50112 50232 50576 51012 51968 52026 52164 52416 52647 52992 54027 54288 54936 56028 56511 56898 57408 58464 58968 59514 59616 60168 60697 61074 61803 61824 62784 63336 64032 64584 65182 65772 66381 66816 66976 67392 67689 68016 69368 69552 69888 70196 70632 71253 72036 72384 72576 72703 73248 74704 75168 75348 75864 76518 76544 77952 78039 78624 79352 79488 80224 81432 82186 82404 83712 84042 84448 85347 85376 86112 87696 88508 89271 89856 90252 90688 92736 94176 95004 96048 96512 96876 97664 97773 100224 100464 101152 102024 104052 104328 104832 105294 108054 108576 109872 112056 113022 113796 114777 114816 116928 117936 119028 119232 120336 121394 122148 123279 123606 123648 125568 126063 126672 128064 129168 130364 131544 132762 133952 134784 135378 136032 138736 139104 140392 141264 142506 144072 144768 145152 145406 146496 149408 150336 150696 151728 153036 155904 156078 157248 157941 158704 158976 160448 162864 164372 164808 168084 168896 169533 170694 170752 172224 175392 177016 178542 180504 181376 182091 185472 188352 190008 192096 193752 195328 195546 199143 200448 200928 202304 203067 204048 208104 208656 209664 210588 213759 216108 217152 218109 219744 224112 226044 227592 228137 229554 229632 233856 234117 235872 238056 238464 240672 242788 244296 246558 247212 251136 252126 253344 256041 256128 258336 260728 263088 265524 267813 267904 269568 270756 272064 277472 278208 280784 282528 285012 287651 288144 289536 290812 292992 293319 298816 300672 301392 303456 306072 312156 314496 315882 317408 320896 325728 328744 329616 336168 337792 339066 341388 344448 350784 354032 357084 361008 362752 364182 369837 370944 376704 378189 380016 384192 387504 391092 398286 401856 404608 406134 408096 416208 417312 421176 427518 432216 434304 436218 439488 448224 452088 455184 456274 459108 467712 468234 471744 473823 476112 476928 481344 485576 488592 493116 494424 504252 506688 508921 512082 512256 516672 521456 526176 531048 535626 535808 541512 544128 546273 554944 556416 561568 565056 570024 575302 576288 581624 585984 586638 597429 597632 601344 602784 606912 612144 624312 628992 631764 634816 641792 651456 654327 657488 659232 672336 675584 678132 682776 684411 688896 701568 702351 708064 714168 722016 728364 739674 753408 756378 760032 768384 775008 782184 796572 803439 803712 809216 812268 816192 832416 834624 842352 855036 862953 864432 868608 872436 878976 879957 896448 904176 910368 912548 918216 936468 943488 945139 947646 952224 962688 971152 977184 986232 988848 1008504 1013376 1017842 1024164 1033344 1042912 1052352 1062096 1071252 1083024 1088256 1092546 1109511 1109888 1112832 1123136 1130112 1140048 1150604 1152576 1163248 1173276 1194858 1195264 1205568 1213824 1224288 1248624 1263528 1269632 1302912 1308654 1314976 1318464 1344672 1356264 1365552 1368822 1403136 1404702 1416128 1421469 1428336 1444032 1456728 1479348 1512756 1520064 1526763 1536768 1550016 1564368 1593144 1606878 1607424 1624536 1632384 1638819 1664832 1669248 1684704 1710072 1725906 1728864 1744872 1757952 1759914 1792287 1792896 1808352 1820736 1825096 1836432 1872936 1886976 1890278 1895292 1904448 1925376 1942304 1954368 1962981 1972464 1977696 2017008 2026752 2035684 2048328 2053233 2066688 2085824 2104704 2124192 2142504 2166048 2185092 2219022 2219776 2246272 2260224 2280096 2301208 2305152 2326496 2346552 2389716 2411136 2427648 2448576 2497248 2527056 2539264 2588859 2605824 2617308 2629952 2636928 2639871 2689344 2712528 2731104 2737644 2809404 2832256 2835417 2842938 2856672 2888064 2913456 2958696 3025512 3040128 3053526 3100032 3128736 3186288 3213756 3249072 3264768 3277638 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10559484 10757376 10850112 10924416 10950576 11237616 11341668 11371752 11426688 11653824 11777886 11834784 12102048 12214104 12319398 12514944 12745152 12855024 12996288 13110552 13231946 13314132 13477632 13680576 13740867 13807248 13830912 13958976 14079312 14338296 14466816 14600768 14691456 14983488 15122224 15162336 15533154 15538432 15703848 15779712 15821568 16136064 16285472 16386624 16425864 16993536 17012502 17140032 17328384 17480736 17752176 18240768 18321156 18409664 18479097 18611968 18772416 19117728 19665828 19847919 19977984 20216448 20710872 20938464 21118968 21700224 21848832 21901152 22475232 22683336 22743504 22853376 23299731 23307648 23555772 23669568 24204096 24428208 24638796 25029888 25490304 25518753 25710048 25992576 26221104 26463892 26628264 27361152 27481734 27614496 27917952 28158624 28676592 29201536 29382912 29966976 30244448 30324672 31066308 31407696 31559424 32272128 32570944 32773248 32851728 34025004 34280064 34961472 35504352 36642312 36819328 36958194 37544832 38235456 39331656 39695838 40432896 41222601 41421744 41876928 42237936 43400448 43802304 44950464 45366672 45487008 46599462 46615296 47111544 47339136 48408192 48856416 49277592 50980608 51037506 51420096 51985152 52442208 52927784 53256528 54722304 54963468 55228992 55835904 56317248 57353184 58403072 59543757 59933952 60488896 60649344 62132616 62815392 65141888 65546496 65703456 68050008 68560128 69922944 71008704 73284624 73638656 73916388 75089664 76470912 76556259 78663312 79391676 82445202 82843488 83753856 84475872 87604608 89900928 90733344 90974016 93198924 94223088 94678272 96816384 97712832 98555184 102075012 102840192 104884416 105855568 106513056 109926936 110457984 112634496 114706368 119087514 120977792 121298688 124265232 125630784 130283776 131406912 136100016 139845888 142017408 146569248 147832776 152941824 153112518 157326624 158783352 164890404 165686976 167507712 168951744 175209216 178631271 179801856 181466688 181948032 186397848 188446176 195425664 197110368 204150024 205680384 209768832 211711136 213026112 219853872 220915968 225268992 229412736 238175028 241955584 248530464 251261568 262813824 272200032 284034816 293138496 295665552 306225036 314653248 317566704 329780808 331373952 337903488 357262542 362933376 363896064 372795696 376892352 390851328 394220736 408300048 419537664 423422272 426052224 439707744 458825472 476350056 497060928 502523136 525627648 535893813 544400064 586276992 591331104 612450072 629306496 635133408 659561616 662747904 675806976 714525084 725866752 745591392 753784704 788441472 816600096 846844544 852104448 879415488 952700112 994121856 1071787626 1088800128 1172553984 1182662208 1224900144 1258612992 1270266816 1319123232 1429050168 1491182784 1507569408 1576882944 1633200192 1693689088 1758830976 1905400224 1988243712 2143575252 2177600256 2365324416 2449800288 2540533632 2638246464 2858100336 2982365568 3266400384 3517661952 3810800448 4287150504 4730648832 4899600576 5081067264 5276492928 5716200672 5964731136 6532800768 7621600896 8574301008 9799201152 10552985856 11432401344 15243201792 17148602016 19598402304 22864802688 34297204032 45729605376 68594408064 137188816128
• Sum of all divisors σ(n): 548465702400
• Sum of proper divisors (its aliquot sum) s(n): 411276886272
• 137188816128 is an abundant number, because the sum of its proper divisors (411276886272) is greater than itself. Its abundance is 274088070144

Bases of 137188816128

• Binary: 1111111110001000101110011010100000000₂
• Hexadecimal: 0x1FF1173500
• Base-36: 1R0UOG00

Squares and roots of 137188816128

• 137188816128 squared (137188816128²) is 18820771270602192912384
• 137188816128 cubed (137188816128³) is 2581999329229789175290633390129152
• The square root of 137188816128 is 370390.0864332089
• The cube root of 137188816128 is 5157.5039523269

Scales and comparisons

• 137,188,816,128 seconds is equal to 4,362 years, 9 weeks, 2 days, 12 hours, 28 minutes, 48 seconds.
• To count from 1 to 137,188,816,128 would take you about eight thousand, seven hundred twenty-four 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 137188816128 cubic inches would be around 429.8 feet tall.

Recreational maths with 137188816128

• 137188816128 backwards is 821618881731
• 137188816128 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137188816128's digits is 54
• More coming soon!