138697875376128

Names of 138697875376128

• Cardinal: 138697875376128 can be written as One hundred thirty-eight trillion, six hundred ninety-seven billion, eight hundred seventy-five million, three hundred seventy-six thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.38697875376128 × 10¹⁴

Factors of 138697875376128

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 233

Divisors of 138697875376128

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 81 94 96 108 128 141 144 162 181 188 192 216 243 256 282 288 324 362 376 384 423 432 486 512 543 564 576 648 724 752 768 846 864 972 1024 1086 1128 1152 1269 1296 1448 1504 1536 1629 1692 1728 1944 2048 2172 2256 2304 2538 2592 2896 3008 3072 3258 3384 3456 3807 3888 4344 4512 4608 4887 5076 5184 5792 6016 6144 6516 6768 6912 7614 7776 8507 8688 9024 9216 9774 10152 10368 11421 11584 12032 13032 13536 13824 14661 15228 15552 17014 17376 18048 18432 19548 20304 20736 22842 23168 24064 25521 26064 27072 27648 29322 30456 31104 32761 34028 34752 36096 39096 40608 41472 43983 45684 46336 48128 51042 52128 54144 55296 58644 60912 62208 65522 68056 69504 72192 76563 78192 81216 82944 87966 91368 92672 96256 98283 102084 104256 108288 117288 121824 124416 131044 136112 139008 144384 153126 156384 162432 165888 175932 182736 185344 196566 204168 208512 216576 229689 234576 243648 248832 262088 272224 278016 288768 294849 306252 312768 324864 351864 365472 370688 393132 408336 417024 433152 459378 469152 487296 497664 524176 544448 556032 589698 612504 625536 649728 689067 703728 730944 786264 816672 834048 866304 884547 918756 938304 974592 1048352 1088896 1112064 1179396 1225008 1251072 1299456 1378134 1407456 1461888 1539767 1572528 1633344 1668096 1769094 1837512 1876608 1949184 2067201 2096704 2177792 2358792 2450016 2502144 2598912 2653641 2756268 2814912 2923776 3079534 3145056 3266688 3336192 3538188 3675024 3753216 3898368 4134402 4193408 4355584 4619301 4717584 4900032 5004288 5307282 5512536 5629824 5847552 5929741 6159068 6290112 6533376 7076376 7350048 7506432 7796736 7960923 8268804 8386816 8711168 9238602 9435168 9800064 10008576 10614564 11025072 11259648 11695104 11859482 12318136 12580224 13066752 13857903 14152752 14700096 15012864 15921846 16537608 16773632 17422336 17789223 18477204 18870336 19600128 21229128 22050144 22519296 23390208 23718964 24636272 25160448 26133504 27715806 28305504 29400192 30025728 31843692 33075216 33547264 35578446 36954408 37740672 39200256 41573709 42458256 44100288 45038592 47437928 49272544 50320896 52267008 53367669 55431612 56611008 58800384 63687384 66150432 67094528 71156892 73908816 75481344 78400512 83147418 84916512 88200576 90077184 94875856 98545088 100641792 106735338 110863224 113222016 117600768 124721127 127374768 132300864 142313784 147817632 150962688 156801024 160103007 166294836 169833024 176401152 189751712 197090176 201283584 213470676 221726448 226444032 235201536 249442254 254749536 264601728 278697827 284627568 295635264 301925376 320206014 332589672 339666048 352802304 374163381 379503424 394180352 426941352 443452896 452888064 470403072 480309021 498884508 509499072 529203456 557395654 569255136 591270528 603850752 640412028 665179344 679332096 705604608 748326762 759006848 788360704 836093481 853882704 886905792 905776128 960618042 997769016 1018998144 1058406912 1114791308 1138510272 1182541056 1280824056 1330358688 1358664192 1411209216 1440927063 1496653524 1518013696 1576721408 1672186962 1707765408 1773811584 1811552256 1921236084 1995538032 2037996288 2116813824 2229582616 2277020544 2365082112 2508280443 2561648112 2660717376 2717328384 2881854126 2993307048 3036027392 3153442816 3344373924 3415530816 3547623168 3842472168 3991076064 4075992576 4233627648 4459165232 4554041088 4730164224 5016560886 5123296224 5321434752 5434656768 5763708252 5986614096 6072054784 6688747848 6831061632 7095246336 7524841329 7684944336 7982152128 8151985152 8918330464 9108082176 9460328448 10033121772 10246592448 10642869504 11527416504 11973228192 12144109568 13377495696 13662123264 14190492672 15049682658 15369888672 15964304256 16303970304 17836660928 18216164352 20066243544 20493184896 21285739008 22574523987 23054833008 23946456384 26754991392 27324246528 28380985344 30099365316 30739777344 31928608512 35673321856 36432328704 40132487088 40986369792 42571478016 45149047974 46109666016 47892912768 53509982784 54648493056 60198730632 61479554688 63857217024 67723571961 71346643712 80264974176 81972739584 85142956032 90298095948 92219332032 95785825536 107019965568 109296986112 120397461264 122959109376 127714434048 135447143922 142693287424 160529948352 163945479168 180596191896 184438664064 191571651072 214039931136 240794922528 245918218752 255428868096 270894287844 285386574848 321059896704 327890958336 361192383792 368877328128 383143302144 428079862272 481589845056 491836437504 541788575688 570773149696 642119793408 722384767584 737754656256 766286604288 856159724544 963179690112 983672875008 1083577151376 1284239586816 1444769535168 1475509312512 1712319449088 1926359380224 2167154302752 2568479173632 2889539070336 2951018625024 3852718760448 4334308605504 5136958347264 5779078140672 7705437520896 8668617211008 11558156281344 15410875041792 17337234422016 23116312562688 34674468844032 46232625125376 69348937688064 138697875376128
• Sum of all divisors σ(n): 426617160802560
• Sum of proper divisors (its aliquot sum) s(n): 287919285426432
• 138697875376128 is an abundant number, because the sum of its proper divisors (287919285426432) is greater than itself. Its abundance is 149221410050304

Bases of 138697875376128

• Binary: 11111100010010100011101100101111100100000000000₂
• Hexadecimal: 0x7E251D97C800
• Base-36: 1D5WX9XC00

Squares and roots of 138697875376128

• 138697875376128 squared (138697875376128²) is 19237100633851933797472272384
• 138697875376128 cubed (138697875376128³) is 2668144986312028469559544706457634867249152
• The square root of 138697875376128 is 11777006.2144896569
• The cube root of 138697875376128 is 51763.4566047891

Scales and comparisons

• 138,697,875,376,128 seconds is equal to 4,410,163 years, 21 weeks, 4 days, 12 hours, 28 minutes, 48 seconds.
• To count from 1 to 138,697,875,376,128 would take you about eleven million, twenty-five thousand, four hundred 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 138697875376128 cubic inches would be around 4313.6 feet tall.

Recreational maths with 138697875376128

• 138697875376128 backwards is 821673578796831
• 138697875376128 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138697875376128's digits is 81
• More coming soon!