138705671306016

Names of 138705671306016

• Cardinal: 138705671306016 can be written as One hundred thirty-eight trillion, seven hundred five billion, six hundred seventy-one million, three hundred six thousand and sixteen.

Scientific notation

• Scientific notation: 1.38705671306016 × 10¹⁴

Factors of 138705671306016

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 761

Divisors of 138705671306016

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 243 272 288 289 306 324 408 432 459 486 544 578 612 648 739 816 864 867 918 972 1156 1224 1296 1377 1478 1632 1734 1836 1944 2217 2312 2448 2592 2601 2754 2956 3468 3672 3888 4131 4434 4624 4896 4913 5202 5508 5912 6651 6936 7344 7776 7803 8262 8868 9248 9826 10404 11016 11824 12563 13302 13872 14688 14739 15606 16524 17736 19652 19953 20808 22032 23409 23648 25126 26604 27744 29478 31212 33048 35472 37689 39304 39906 41616 44064 44217 46818 50252 53208 58956 59859 62424 66096 70227 70944 75378 78608 79812 83232 83521 88434 93636 100504 106416 113067 117912 119718 124848 132192 132651 140454 150756 157216 159624 167042 176868 179577 187272 201008 212832 213571 226134 235824 239436 249696 250563 265302 280908 301512 319248 334084 339201 353736 359154 374544 397953 402016 427142 452268 471648 478872 501126 530604 561816 603024 638496 640713 668168 678402 707472 718308 749088 751689 795906 854284 904536 957744 1002252 1017603 1061208 1123632 1193859 1206048 1281426 1336336 1356804 1414944 1419857 1436616 1503378 1591812 1708568 1809072 1915488 1922139 2004504 2035206 2122416 2247264 2255067 2387718 2562852 2672672 2713608 2839714 2873232 3006756 3052809 3183624 3417136 3618144 3630707 3844278 4009008 4070412 4244832 4259571 4510134 4775436 5125704 5427216 5679428 5746464 5766417 6013512 6105618 6367248 6765201 6834272 7261414 7688556 8018016 8140824 8519142 9020268 9550872 10251408 10854432 10892121 11358856 11532834 12027024 12211236 12734496 12778713 13530402 14522828 15377112 16281648 17038284 17299251 18040536 19101744 20295603 20502816 21784242 22717712 23065668 24054048 24137569 24422472 25557426 27060804 29045656 30754224 32563296 32676363 34076568 34598502 36081072 38203488 38336139 40591206 43568484 45435424 46131336 48275138 48844944 51114852 51897753 54121608 58091312 61508448 61722019 65352726 68153136 69197004 72162144 72412707 76672278 81182412 87136968 92262672 96550276 97689888 98029089 102229704 103795506 108243216 115008417 116182624 123444038 130705452 136306272 138394008 144825414 153344556 162364824 174273936 184525344 185166057 193100552 196058178 204459408 207591012 216486432 217238121 230016834 246888076 261410904 276788016 289650828 294087267 306689112 324729648 345025251 348547872 370332114 386201104 392116356 408918816 415182024 434476242 460033668 493776152 522821808 553576032 555498171 579301656 588174534 613378224 649459296 651714363 690050502 740664228 772402208 784232712 830364048 868952484 882261801 920067336 987552304 1045643616 1049274323 1110996342 1158603312 1176349068 1226756448 1303428726 1380101004 1481328456 1568465424 1660728096 1666494513 1737904968 1764523602 1840134672 1955143089 1975104608 2098548646 2221992684 2317206624 2352698136 2606857452 2760202008 2962656912 3136930848 3147822969 3332989026 3475809936 3529047204 3680269344 3910286178 4197097292 4443985368 4705396272 4999483539 5213714904 5520404016 5865429267 5925313824 6295645938 6665978052 6951619872 7058094408 7820572356 8394194584 8887970736 9410792544 9443468907 9998967078 10427429808 11040808032 11730858534 12591291876 13331956104 14116188816 14998450617 15641144712 16788389168 17775941472 17837663491 18886937814 19997934156 20854859616 23461717068 25182583752 26663912208 28232377632 28330406721 29996901234 31282289424 33576778336 35675326982 37773875628 39995868312 46923434136 50365167504 53327824416 53512990473 56660813442 59993802468 62564578848 71350653964 75547751256 79991736624 84991220163 93846868272 100730335008 107025980946 113321626884 119987604936 142701307928 151095502512 159983473248 160538971419 169982440326 187693736544 214051961892 226643253768 239975209872 254973660489 285402615856 302191005024 321077942838 339964880652 428103923784 453286507536 479950419744 481616914257 509947320978 570805231712 642155885676 679929761304 856207847568 906573015072 963233828514 1019894641956 1284311771352 1359859522608 1444850742771 1712415695136 1926467657028 2039789283912 2568623542704 2719719045216 2889701485542 3852935314056 4079578567824 4334552228313 5137247085408 5779402971084 7705870628112 8159157135648 8669104456626 11558805942168 15411741256224 17338208913252 23117611884336 34676417826504 46235223768672 69352835653008 138705671306016
• Sum of all divisors σ(n): 435207247216560
• Sum of proper divisors (its aliquot sum) s(n): 296501575910544
• 138705671306016 is an abundant number, because the sum of its proper divisors (296501575910544) is greater than itself. Its abundance is 157795904604528

Bases of 138705671306016

• Binary: 11111100010011011101110010001000011101100100000₂
• Hexadecimal: 0x7E26EE443B20
• Base-36: 1D60I7F600

Squares and roots of 138705671306016

• 138705671306016 squared (138705671306016²) is 19239263252452550327117792256
• 138705671306016 cubed (138705671306016³) is 2668594924864595772246662511810362091012096
• The square root of 138705671306016 is 11777337.1908091347
• The cube root of 138705671306016 is 51764.4264267053

Scales and comparisons

• 138,705,671,306,016 seconds is equal to 4,410,411 years, 15 weeks, 5 days, 4 hours, 33 minutes, 36 seconds.
• To count from 1 to 138,705,671,306,016 would take you about eleven million, twenty-six thousand and twenty-eight 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 138705671306016 cubic inches would be around 4313.7 feet tall.

Recreational maths with 138705671306016

• 138705671306016 backwards is 610603176507831
• 138705671306016 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138705671306016's digits is 54
• More coming soon!