138409640198144

Names of 138409640198144

• Cardinal: 138409640198144 can be written as One hundred thirty-eight trillion, four hundred nine billion, six hundred forty million, one hundred ninety-eight thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 1.38409640198144 × 10¹⁴

Factors of 138409640198144

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 26
• Sum of prime factors: 199

Divisors of 138409640198144

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 49 53 56 64 98 106 112 128 137 196 212 224 256 274 343 371 392 424 448 512 548 686 742 784 848 896 959 1024 1096 1372 1484 1568 1696 1792 1918 2048 2192 2597 2744 2809 2968 3136 3392 3584 3836 4096 4384 5194 5488 5618 5936 6272 6713 6784 7168 7261 7672 8192 8768 10388 10976 11236 11872 12544 13426 13568 14336 14522 15344 16384 17536 18179 19663 20776 21952 22472 23744 25088 26852 27136 28672 29044 30688 32768 35072 36358 39326 41552 43904 44944 46991 47488 50176 50827 53704 54272 57344 58088 61376 65536 70144 72716 78652 83104 87808 89888 93982 94976 100352 101654 107408 108544 114688 116176 122752 131072 137641 140288 145432 157304 166208 175616 179776 187964 189952 200704 203308 214816 217088 229376 232352 245504 262144 275282 280576 290864 314608 332416 351232 355789 359552 375928 379904 384833 401408 406616 429632 434176 458752 464704 491008 524288 550564 561152 581728 629216 664832 702464 711578 719104 751856 759808 769666 802816 813232 859264 868352 917504 929408 963487 982016 1048576 1101128 1122304 1163456 1258432 1329664 1404928 1423156 1438208 1503712 1519616 1539332 1605632 1626464 1718528 1736704 1835008 1858816 1926974 1964032 2202256 2244608 2326912 2490523 2516864 2659328 2693831 2809856 2846312 2876416 3007424 3039232 3078664 3211264 3252928 3437056 3473408 3670016 3717632 3853948 3928064 4404512 4489216 4653824 4981046 5033728 5318656 5387662 5619712 5692624 5752832 6014848 6078464 6157328 6422528 6505856 6874112 6946816 7340032 7435264 7707896 7856128 8809024 8978432 9307648 9962092 10067456 10637312 10775324 11239424 11385248 11505664 12029696 12156928 12314656 12845056 13011712 13748224 13893632 14870528 15415792 15712256 17618048 17956864 18615296 18856817 19924184 20134912 21274624 21550648 22478848 22770496 23011328 24059392 24313856 24629312 25690112 26023424 27496448 27787264 29741056 30831584 31424512 35236096 35913728 37230592 37713634 39848368 40269824 42549248 43101296 44957696 45540992 46022656 48118784 48627712 49258624 51380224 52046848 54992896 55574528 59482112 61663168 62849024 70472192 71827456 74461184 75427268 79696736 80539648 85098496 86202592 89915392 91081984 92045312 96237568 97255424 98517248 104093696 109985792 118964224 123326336 125698048 131997719 140944384 143654912 148922368 150854536 159393472 161079296 170196992 172405184 179830784 182163968 184090624 192475136 194510848 197034496 208187392 219971584 237928448 246652672 251396096 263995438 281888768 297844736 301709072 318786944 322158592 340393984 344810368 359661568 364327936 368181248 384950272 389021696 394068992 416374784 439943168 475856896 493305344 502792192 527990876 563777536 595689472 603418144 637573888 644317184 680787968 689620736 728655872 736362496 769900544 788137984 832749568 879886336 951713792 986610688 1005584384 1055981752 1127555072 1191378944 1206836288 1275147776 1288634368 1361575936 1379241472 1457311744 1472724992 1539801088 1576275968 1665499136 1759772672 1903427584 1973221376 2111963504 2255110144 2382757888 2413672576 2550295552 2577268736 2723151872 2758482944 2914623488 2945449984 3079602176 3152551936 3330998272 3519545344 3806855168 3946442752 4223927008 4510220288 4765515776 4827345152 5100591104 5154537472 5516965888 5829246976 6159204352 6305103872 6661996544 7039090688 7613710336 7892885504 8447854016 9020440576 9531031552 9654690304 10201182208 10309074944 11033931776 11658493952 12318408704 12610207744 13323993088 15785771008 16895708032 18040881152 19062063104 19309380608 20402364416 20618149888 22067863552 23316987904 24636817408 25220415488 26647986176 31571542016 33791416064 36081762304 38618761216 40804728832 44135727104 46633975808 49273634816 50440830976 53295972352 63143084032 67582832128 72163524608 77237522432 81609457664 88271454208 93267951616 100881661952 126286168064 135165664256 144327049216 154475044864 163218915328 176542908416 186535903232 201763323904 252572336128 270331328512 308950089728 326437830656 353085816832 373071806464 403526647808 505144672256 540662657024 617900179456 652875661312 706171633664 1010289344512 1081325314048 1235800358912 1305751322624 1412343267328 2162650628096 2471600717824 2611502645248 2824686534656 4325301256192 4943201435648 8650602512384 9886402871296 17301205024768 19772805742592 34602410049536 69204820099072 138409640198144
• Sum of all divisors σ(n): 331428710877600
• Sum of proper divisors (its aliquot sum) s(n): 193019070679456
• 138409640198144 is an abundant number, because the sum of its proper divisors (193019070679456) is greater than itself. Its abundance is 54609430481312

Bases of 138409640198144

• Binary: 11111011110001000000001011100000000000000000000₂
• Hexadecimal: 0x7DE201700000
• Base-36: 1D28IE55A8

Squares and roots of 138409640198144

• 138409640198144 squared (138409640198144²) is 19157228499779679455581044736
• 138409640198144 cubed (138409640198144³) is 2651545103848135396622713198780305568169984
• The square root of 138409640198144 is 11764762.6494606341
• The cube root of 138409640198144 is 51727.5743044785

Scales and comparisons

• 138,409,640,198,144 seconds is equal to 4,400,998 years, 22 weeks, 2 days, 5 hours, 15 minutes, 44 seconds.
• To count from 1 to 138,409,640,198,144 would take you about eleven million, two thousand, four hundred ninety-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 138409640198144 cubic inches would be around 4310.6 feet tall.

Recreational maths with 138409640198144

• 138409640198144 backwards is 441891046904831
• The number of decimal digits it has is: 15
• The sum of 138409640198144's digits is 62
• More coming soon!