104138097517986240

Names of 104138097517986240

• Cardinal: 104138097517986240 can be written as One hundred four quadrillion, one hundred thirty-eight trillion, ninety-seven billion, five hundred seventeen million, nine hundred eighty-six thousand, two hundred forty.

Scientific notation

• Scientific notation: 1.0413809751798624 × 10¹⁷

Factors of 104138097517986240

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 40067078

Divisors of 104138097517986240

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 89 96 116 120 145 160 174 178 192 232 240 267 290 320 348 356 435 445 464 480 534 580 696 712 870 890 928 960 1049 1068 1160 1335 1392 1424 1740 1780 1856 2098 2136 2320 2581 2670 2784 2848 3147 3480 3560 4196 4272 4640 5162 5245 5340 5568 5696 6294 6960 7120 7743 8392 8544 9280 10324 10490 10680 12588 12905 13920 14240 15486 15735 16784 17088 20648 20980 21360 25176 25810 27840 28480 30421 30972 31470 33568 38715 41296 41960 42720 50352 51620 60842 61944 62940 67136 77430 82592 83920 85440 91263 93361 100704 103240 121684 123888 125880 152105 154860 165184 167840 182526 186722 201408 206480 243368 247776 251760 280083 304210 309720 335680 365052 373444 412960 456315 466805 486736 495552 503520 560166 608420 619440 730104 746888 825920 912630 933610 973472 1007040 1120332 1216840 1238880 1400415 1460208 1493776 1825260 1867220 1946944 2240664 2433680 2477760 2707469 2800830 2920416 2987552 3650520 3734440 4481328 4867360 5414938 5601660 5840832 5975104 7301040 7468880 8122407 8962656 9734720 10829876 11203320 13537345 14602080 14937760 16244814 17925312 21659752 22406640 27074690 29204160 29875520 32489628 40065901 40612035 43319504 44813280 54149380 64979256 80131802 81224070 86639008 89626560 108298760 120197703 129958512 160263604 162448140 173278016 200329505 216597520 240395406 259917024 320527208 324896280 400659010 433195040 480790812 519834048 600988515 641054416 649792560 801318020 866390080 961581624 1161911129 1201977030 1282108832 1299585120 1602636040 1923163248 2323822258 2403954060 2564217664 2599170240 3205272080 3485733387 3565865189 3846326496 4647644516 4807908120 5809555645 6410544160 6971466774 7131730378 7692652992 9295289032 9615816240 10697595567 11619111290 12821088320 13942933548 14263460756 17428666935 17829325945 18590578064 19231632480 21395191134 23238222580 27885867096 28526921512 34857333870 35658651890 37181156128 38463264960 42029130149 42790382268 46476445160 53487977835 55771734192 57053843024 69714667740 71317303780 74362312256 84058260298 85580764536 92952890320 103410090481 106975955670 111543468384 114107686048 126087390447 139429335480 142634607560 168116520596 171161529072 185905780640 206820180962 210145650745 213951911340 223086936768 228215372096 252174780894 278858670960 285269215120 310230271443 336233041192 342323058144 371811561280 413640361924 420291301490 427903822680 504349561788 517050452405 557717341920 570538430240 620460542886 630436952235 672466082384 684646116288 827280723848 840582602980 855807645360 1008699123576 1034100904810 1115434683840 1141076860480 1218844774321 1240921085772 1260873904470 1344932164768 1551151357215 1654561447696 1681165205960 1711615290720 2017398247152 2068201809620 2437689548642 2481842171544 2521747808940 2689864329536 3102302714430 3309122895392 3362330411920 3423230581440 3656534322963 3740592583261 4034796494304 4136403619240 4875379097284 4963684343088 5043495617880 6094223871605 6204605428860 6618245790784 6724660823840 7313068645926 7481185166522 8069592988608 8272807238480 9750758194568 9927368686176 10086991235760 11221777749783 12188447743210 12409210857720 13449321647680 14626137291852 14962370333044 16545614476960 18282671614815 18702962916305 19501516389136 19854737372352 20173982471520 22443555499566 24376895486420 24818421715440 29252274583704 29924740666088 33091228953920 36565343229630 37405925832610 39003032778272 40347964943040 44887110999132 48753790972840 49636843430880 56108888748915 58504549167408 59849481332176 73130686459260 74811851665220 78006065556544 89774221998264 97507581945680 99273686861760 108477184914569 112217777497830 117009098334816 119698962664352 146261372918520 149623703330440 179548443996528 195015163891360 216954369829138 224435554995660 234018196669632 239397925328704 292522745837040 299247406660880 325431554743707 359096887993056 390030327782720 433908739658276 448871109991320 542385924572845 585045491674080 598494813321760 650863109487414 718193775986112 867817479316552 897742219982640 1084771849145690 1170090983348160 1196989626643520 1301726218974828 1627157773718535 1735634958633104 1795484439965280 2169543698291380 2603452437949656 3254315547437070 3471269917266208 3590968879930560 4339087396582760 5206904875899312 6508631094874140 6942539834532416 8678174793165520 10413809751798624 13017262189748280 17356349586331040 20827619503597248 26034524379496560 34712699172662080 52069048758993120 104138097517986240
• Sum of all divisors σ(n): 346212664454160000
• Sum of proper divisors (its aliquot sum) s(n): 242074566936173760
• 104138097517986240 is an abundant number, because the sum of its proper divisors (242074566936173760) is greater than itself. Its abundance is 137936469418187520

Bases of 104138097517986240

• Binary: 101110001111110010000110001000110001001010000000111000000₂
• Hexadecimal: 0x171F90C462501C0
• Base-36: SHDVHK07K5C

Squares and roots of 104138097517986240

• 104138097517986240 squared (104138097517986240²) is 10844743354665611879880304829337600
• 104138097517986240 cubed (104138097517986240³) is 1129350941025700726559554287665658183149625114624000
• The square root of 104138097517986240 is 322704350.0140434117
• The cube root of 104138097517986240 is 470474.9951502397

Scales and comparisons

• 104,138,097,517,986,240 seconds is equal to 3,311,269,380 years, 40 weeks, 6 days, 7 hours, 44 minutes.
• To count from 1 to 104,138,097,517,986,240 would take you about nine billion, nine hundred thirty-three million, eight hundred eight thousand, one hundred forty-two 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 104138097517986240 cubic inches would be around 39206.2 feet tall.

Recreational maths with 104138097517986240

• 104138097517986240 backwards is 042689715790831401
• The number of decimal digits it has is: 18
• The sum of 104138097517986240's digits is 75
• More coming soon!