137816211456

Names of 137816211456

• Cardinal: 137816211456 can be written as One hundred thirty-seven billion, eight hundred sixteen million, two hundred eleven thousand, four hundred fifty-six.

Scientific notation

• Scientific notation: 1.37816211456 × 10¹¹

Factors of 137816211456

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 40

Divisors of 137816211456

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 17 18 21 22 24 27 28 32 33 34 36 42 44 48 49 51 54 56 63 64 66 68 72 77 84 88 96 98 99 102 108 112 119 126 128 132 136 144 147 153 154 168 176 187 189 192 196 198 204 216 224 231 238 252 256 264 272 288 289 294 297 306 308 336 352 357 374 378 384 392 396 408 432 441 448 459 462 476 504 512 528 539 544 561 576 578 588 594 612 616 672 693 704 714 748 756 768 784 792 816 833 864 867 882 896 918 924 952 1008 1024 1056 1071 1078 1088 1122 1152 1156 1176 1188 1224 1232 1309 1323 1344 1386 1408 1428 1496 1512 1536 1568 1584 1617 1632 1666 1683 1728 1734 1764 1792 1836 1848 1904 2016 2023 2048 2079 2112 2142 2156 2176 2244 2304 2312 2352 2376 2448 2464 2499 2601 2618 2646 2688 2772 2816 2856 2992 3024 3072 3136 3168 3179 3213 3234 3264 3332 3366 3456 3468 3528 3584 3672 3696 3808 3927 4032 4046 4096 4158 4224 4284 4312 4352 4488 4608 4624 4704 4752 4851 4896 4928 4998 5049 5202 5236 5292 5376 5544 5632 5712 5984 6048 6069 6144 6272 6336 6358 6426 6468 6528 6664 6732 6912 6936 7056 7168 7344 7392 7497 7616 7803 7854 8064 8092 8192 8316 8448 8568 8624 8704 8976 9163 9216 9248 9408 9504 9537 9702 9792 9856 9996 10098 10404 10472 10584 10752 11088 11264 11424 11781 11968 12096 12138 12288 12544 12672 12716 12852 12936 13056 13328 13464 13824 13872 14112 14161 14336 14553 14688 14784 14994 15232 15606 15708 16128 16184 16384 16632 16896 17136 17248 17408 17952 18207 18326 18432 18496 18816 19008 19074 19404 19584 19712 19992 20196 20808 20944 21168 21504 22176 22253 22491 22528 22848 23562 23936 24192 24276 24576 25088 25344 25432 25704 25872 26112 26656 26928 27489 27648 27744 28224 28322 28611 28672 29106 29376 29568 29988 30464 31212 31416 32256 32368 32768 33264 33792 34272 34496 34816 35343 35904 36414 36652 36864 36992 37632 38016 38148 38808 39168 39424 39984 40392 41616 41888 42336 42483 43008 44352 44506 44982 45056 45696 47124 47872 48384 48552 49152 50176 50688 50864 51408 51744 52224 53312 53856 54621 54978 55296 55488 56448 56644 57222 57344 58212 58752 59136 59976 60928 62424 62832 64512 64736 66528 66759 67584 68544 68992 69632 70686 71808 72828 73304 73728 73984 75264 76032 76296 77616 78336 78848 79968 80784 82467 83232 83776 84672 84966 85833 86016 88704 89012 89964 90112 91392 94248 95744 96768 97104 98304 100352 101376 101728 102816 103488 104448 106624 107712 109242 109956 110592 110976 112896 113288 114444 114688 116424 117504 118272 119952 121856 124848 125664 127449 129024 129472 133056 133518 135168 137088 137984 139264 141372 143616 145656 146608 147456 147968 150528 152064 152592 155232 155771 156672 157696 159936 161568 164934 166464 167552 169344 169932 171666 172032 177408 178024 179928 180224 182784 188496 191488 193536 194208 200277 200704 202752 203456 205632 206976 208896 213248 215424 218484 219912 221184 221952 225792 226576 228888 229376 232848 235008 236544 239904 243712 247401 249696 251328 254898 258048 258944 266112 267036 270336 274176 275968 278528 282744 287232 291312 293216 294912 295936 301056 304128 305184 310464 311542 313344 315392 319872 323136 329868 332928 335104 338688 339864 343332 344064 354816 356048 359856 360448 365568 376992 382347 382976 387072 388416 400554 401408 405504 406912 411264 413952 417792 426496 430848 436968 439824 442368 443904 451584 453152 457776 465696 467313 470016 473088 479808 487424 494802 499392 502656 509796 516096 517888 532224 534072 540672 548352 551936 557056 565488 574464 582624 586432 591872 600831 602112 608256 610368 620928 623084 626688 630784 639744 646272 659736 665856 670208 677376 679728 686664 688128 709632 712096 719712 731136 753984 764694 765952 774144 776832 801108 802816 811008 813824 822528 827904 835584 852992 861696 873936 879648 884736 887808 903168 906304 915552 931392 934626 940032 946176 959616 974848 989604 998784 1005312 1019592 1032192 1035776 1064448 1068144 1081344 1096704 1103872 1130976 1148928 1165248 1172864 1183744 1201662 1204224 1216512 1220736 1241856 1246168 1253376 1261568 1279488 1292544 1319472 1331712 1340416 1354752 1359456 1373328 1401939 1419264 1424192 1439424 1462272 1507968 1529388 1531904 1548288 1553664 1602216 1605632 1622016 1627648 1645056 1655808 1671168 1705984 1723392 1747872 1759296 1775616 1806336 1812608 1831104 1862784 1869252 1880064 1892352 1919232 1949696 1979208 1997568 2010624 2039184 2064384 2071552 2128896 2136288 2193408 2207744 2261952 2297856 2330496 2345728 2367488 2403324 2408448 2433024 2441472 2483712 2492336 2506752 2523136 2558976 2585088 2638944 2663424 2680832 2709504 2718912 2746656 2803878 2838528 2848384 2878848 2924544 3015936 3058776 3063808 3096576 3107328 3204432 3244032 3255296 3290112 3311616 3411968 3446784 3495744 3518592 3551232 3612672 3625216 3662208 3725568 3738504 3760128 3784704 3838464 3899392 3958416 3995136 4021248 4078368 4143104 4205817 4257792 4272576 4386816 4415488 4523904 4595712 4660992 4691456 4734976 4806648 4816896 4866048 4882944 4967424 4984672 5013504 5117952 5170176 5277888 5326848 5361664 5419008 5437824 5493312 5607756 5677056 5696768 5757696 5849088 6031872 6117552 6127616 6193152 6214656 6408864 6510592 6580224 6623232 6823936 6893568 6991488 7037184 7102464 7225344 7250432 7324416 7451136 7477008 7520256 7569408 7676928 7916832 7990272 8042496 8156736 8286208 8411634 8515584 8545152 8773632 8830976 9047808 9191424 9321984 9382912 9469952 9613296 9732096 9765888 9934848 9969344 10235904 10340352 10555776 10653696 10723328 10838016 10875648 10986624 11215512 11354112 11393536 11515392 11698176 12063744 12235104 12429312 12817728 13021184 13160448 13246464 13647872 13787136 13982976 14074368 14204928 14450688 14500864 14648832 14902272 14954016 15040512 15353856 15833664 15980544 16084992 16313472 16572416 16823268 17031168 17090304 17547264 17661952 18095616 18382848 18643968 18765824 19226592 19531776 19869696 19938688 20471808 20680704 21111552 21307392 21446656 21676032 21751296 21973248 22431024 22708224 22787072 23030784 24127488 24470208 24858624 25635456 26042368 26320896 26492928 27295744 27574272 27965952 28148736 28409856 29001728 29297664 29804544 29908032 30707712 31667328 31961088 32169984 32626944 33144832 33646536 34062336 34180608 35094528 36191232 37287936 37531648 38453184 39063552 39739392 39877376 40943616 41361408 42223104 42614784 42893312 43352064 43502592 43946496 44862048 45574144 46061568 48254976 48940416 49717248 51270912 52084736 52641792 52985856 55148544 55931904 56297472 58003456 58595328 59609088 59816064 61415424 63334656 63922176 64339968 65253888 66289664 67293072 68124672 68361216 72382464 74575872 75063296 76906368 78127104 79478784 79754752 81887232 82722816 84446208 85229568 87005184 87892992 89724096 91148288 92123136 96509952 97880832 99434496 102541824 104169472 105283584 111863808 112594944 116006912 117190656 119218176 119632128 122830848 126669312 127844352 128679936 130507776 134586144 136722432 144764928 149151744 150126592 153812736 156254208 158957568 159509504 165445632 168892416 174010368 175785984 179448192 182296576 184246272 193019904 195761664 198868992 205083648 223727616 225189888 232013824 234381312 238436352 239264256 245661696 253338624 255688704 261015552 269172288 273444864 289529856 298303488 300253184 307625472 312508416 319019008 337784832 348020736 351571968 358896384 364593152 368492544 386039808 391523328 410167296 447455232 450379776 464027648 468762624 476872704 478528512 506677248 522031104 538344576 546889728 579059712 596606976 615250944 638038016 675569664 696041472 703143936 717792768 729186304 736985088 783046656 820334592 894910464 900759552 937525248 957057024 1013354496 1044062208 1076689152 1093779456 1158119424 1230501888 1276076032 1351139328 1392082944 1406287872 1435585536 1566093312 1640669184 1789820928 1914114048 2026708992 2088124416 2153378304 2187558912 2461003776 2552152064 2702278656 2812575744 2871171072 3132186624 3281338368 3828228096 4053417984 4176248832 4306756608 4922007552 5104304128 5742342144 6264373248 6562676736 7656456192 8106835968 8613513216 9844015104 11484684288 12528746496 15312912384 17227026432 19688030208 22969368576 34454052864 45938737152 68908105728 137816211456
• Sum of all divisors σ(n): 550462543200
• Sum of proper divisors (its aliquot sum) s(n): 412646331744
• 137816211456 is an abundant number, because the sum of its proper divisors (412646331744) is greater than itself. Its abundance is 274830120288

Bases of 137816211456

• Binary: 10000000010110011111001000000000000000₂
• Hexadecimal: 0x20167C8000
• Base-36: 1RB87PC0

Squares and roots of 137816211456

• 137816211456 squared (137816211456²) is 18993308140084905639936
• 137816211456 cubed (137816211456³) is 2617585770882907425467226774306816
• The square root of 137816211456 is 371236.0589382449
• The cube root of 137816211456 is 5165.3541396285

Scales and comparisons

• 137,816,211,456 seconds is equal to 4,382 years, 6 weeks, 5 days, 57 minutes, 36 seconds.
• To count from 1 to 137,816,211,456 would take you about eight thousand, seven hundred sixty-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 137816211456 cubic inches would be around 430.4 feet tall.

Recreational maths with 137816211456

• 137816211456 backwards is 654112618731
• The number of decimal digits it has is: 12
• The sum of 137816211456's digits is 45
• More coming soon!