137803814019040

Names of 137803814019040

• Cardinal: 137803814019040 can be written as One hundred thirty-seven trillion, eight hundred three billion, eight hundred fourteen million, nineteen thousand and forty.

Scientific notation

• Scientific notation: 1.3780381401904 × 10¹⁴

Factors of 137803814019040

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1355

Divisors of 137803814019040

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 26 32 37 40 52 65 74 80 104 130 148 160 185 208 211 260 296 370 416 422 481 520 592 740 844 962 1040 1055 1087 1184 1369 1480 1688 1924 2080 2110 2174 2405 2738 2743 2960 3376 3848 4220 4348 4810 5435 5476 5486 5920 6752 6845 7696 7807 8440 8696 9620 10870 10952 10972 13690 13715 14131 15392 15614 16880 17392 17797 19240 21740 21904 21944 27380 27430 28262 31228 33760 34784 35594 38480 39035 40219 43480 43808 43888 44521 54760 54860 56524 62456 70655 71188 76960 78070 80438 86960 87776 88985 89042 101491 109520 109720 113048 124912 141310 142376 156140 160876 173920 177970 178084 201095 202982 219040 219440 222605 226096 229357 249824 282620 284752 288859 312280 321752 355940 356168 402190 405964 438880 445210 452192 458714 507455 522847 565240 569504 577718 578773 624560 643504 711880 712336 804380 811928 890420 917428 1014910 1045694 1130480 1146785 1155436 1157546 1249120 1287008 1423760 1424672 1444295 1488103 1608760 1623856 1647277 1780840 1834856 2029820 2091388 2260960 2293570 2310872 2315092 2614235 2847520 2888590 2893865 2976206 2981641 3217520 3247712 3294554 3561680 3669712 3755167 4059640 4182776 4587140 4621744 4630184 5228470 5777180 5787730 5952412 5963282 6435040 6589108 7123360 7339424 7440515 7510334 8119280 8236385 8365552 8486209 9174280 9243488 9260368 10456940 11554360 11575460 11904824 11926564 13178216 14881030 14908205 15020668 16238560 16472770 16731104 16972418 18348560 18520736 18775835 19345339 20913880 21414601 23108720 23150920 23809648 23853128 26356432 29762060 29816410 30041336 32945540 33944836 36697120 37551670 38690678 41827760 42431045 42829202 46217440 46301840 47619296 47706256 48394327 52712864 59524120 59632820 60082672 60949249 65891080 67889672 75103340 77381356 83655520 84862090 85658404 92603680 95412512 96726695 96788654 107073005 110320717 119048240 119265640 120165344 121898498 131782160 135779344 150206680 154762712 169724180 171316808 193453390 193577308 214146010 220641434 238096480 238531280 241971635 243796996 263564320 271558688 300413360 304746245 309525424 313989733 339448360 342633616 386906780 387154616 428292020 441282868 477062560 483943270 487593992 551603585 600826720 609492490 619050848 627979466 629126251 678896720 685267232 773813560 774309232 792340237 856584040 882565736 967886540 975187984 1103207170 1218984980 1255958932 1258252502 1357793440 1547627120 1548618464 1569948665 1584680474 1713168080 1765131472 1790590099 1935773080 1950375968 2206414340 2437969960 2511917864 2516505004 3095254240 3139897330 3145631255 3169360948 3426336160 3530262944 3581180198 3871546160 3961701185 4081866529 4412828680 4875939920 5023835728 5033010008 6279794660 6291262510 6338721896 7162360396 7743092320 7923402370 8163733058 8825657360 8952950495 9751879840 10047671456 10066020016 12559589320 12582525020 12677443792 14324720792 15846804740 16327466116 17651314720 17905900990 20132040032 20409332645 23277671287 25119178640 25165050040 25354887584 28649441584 31693609480 32654932232 35811801980 40818665290 46555342574 50238357280 50330100080 57298883168 63387218960 65309864464 66251833663 71623603960 81637330580 93110685148 100660200160 116388356435 126774437920 130619728928 132503667326 143247207920 163274661160 186221370296 232776712870 265007334652 286494415840 326549322320 331259168315 372442740592 465553425740 530014669304 653098644640 662518336630 744885481184 861273837619 931106851480 1060029338608 1325036673260 1722547675238 1862213702960 2120058677216 2650073346520 3445095350476 3724427405920 4306369188095 5300146693040 6890190700952 8612738376190 10600293386080 13780381401904 17225476752380 27560762803808 34450953504760 68901907009520 137803814019040
• Sum of all divisors σ(n): 362385534341376
• Sum of proper divisors (its aliquot sum) s(n): 224581720322336
• 137803814019040 is an abundant number, because the sum of its proper divisors (224581720322336) is greater than itself. Its abundance is 86777906303296

Bases of 137803814019040

• Binary: 11111010101010011110011011000100001111111100000₂
• Hexadecimal: 0x7D54F3621FE0
• Base-36: 1CUI74VLR4

Squares and roots of 137803814019040

• 137803814019040 squared (137803814019040²) is 18989891158194165237482521600
• 137803814019040 cubed (137803814019040³) is 2616879429405600849923324140939049611264000
• The square root of 137803814019040 is 11738986.9247324747
• The cube root of 137803814019040 is 51651.9924959555

Scales and comparisons

• 137,803,814,019,040 seconds is equal to 4,381,735 years, 1 week, 4 days, 3 hours, 30 minutes, 40 seconds.
• To count from 1 to 137,803,814,019,040 would take you about ten million, nine hundred fifty-four thousand, three hundred thirty-seven 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 137803814019040 cubic inches would be around 4304.3 feet tall.

Recreational maths with 137803814019040

• 137803814019040 backwards is 040910418308731
• The number of decimal digits it has is: 15
• The sum of 137803814019040's digits is 49
• More coming soon!