404742393115711105

Names of 404742393115711105

• Cardinal: 404742393115711105 can be written as Four hundred four quadrillion, seven hundred forty-two trillion, three hundred ninety-three billion, one hundred fifteen million, seven hundred eleven thousand, one hundred five.

Scientific notation

• Scientific notation: 4.04742393115711105 × 10¹⁷

Factors of 404742393115711105

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 761

Divisors of 404742393115711105

• Number of divisors d(n): 384
• Complete list of divisors:
  1 5 7 13 17 35 49 65 85 91 119 169 221 245 289 343 455 595 637 719 833 845 1105 1183 1445 1547 1715 2023 2197 2873 3185 3595 3757 4165 4459 5033 5831 5915 7735 8281 9347 10115 10829 10985 12223 14161 14365 15379 18785 20111 22295 25165 26299 29155 35231 37349 41405 46735 48841 54145 57967 61115 65429 70805 75803 76895 85561 99127 100555 107653 121511 131495 140777 158899 176155 184093 186745 207791 244205 246617 261443 289835 327145 341887 379015 427805 458003 495635 516961 538265 598927 607555 634933 703885 753571 794495 850577 920465 985439 1038955 1112293 1233085 1288651 1307215 1454537 1579643 1709435 1830101 2065687 2290015 2393209 2584805 2701283 2994635 3174665 3206021 3618727 3767855 4192489 4252885 4444531 4927195 5561465 5954039 6443255 6720493 7272685 7786051 7898215 8788337 9150505 10181759 10328435 11057501 11966045 12810707 13506415 14459809 16030105 16752463 18093635 18908981 20962445 22222655 25331089 26853931 29770195 31111717 33602465 35116679 38930255 41678273 43941685 47043451 50908795 54502357 55287505 61518359 64053535 71272313 72299045 77402507 83762315 87366409 94544905 101218663 114248381 126655445 132362867 134269655 149401729 155558585 175583395 177317623 187977517 208391365 217782019 235217255 245816753 272511785 307591795 329304157 356361565 371694959 387012535 430628513 436832045 456516827 506093315 541817549 571241905 611564863 661814335 708530641 747008645 799738667 886588115 926540069 939887585 1045812103 1088910095 1135763317 1229083765 1315842619 1485228953 1646520785 1720717271 1858474795 1942222477 2153142565 2282584135 2305129099 2601864713 2709087745 3014399591 3057824315 3195617789 3542653205 3998693335 4280954041 4632700345 4832034467 5229060515 5598170669 5678816585 6318814303 6579213095 7320684721 7426144765 7950343219 8603586355 9210898333 9711112385 10396602671 11525645495 12045020897 13009323565 13595557339 15071997955 15978088945 18213052991 19307976389 21404770205 22369324523 24160172335 25248892201 27990853345 29966678287 31594071515 33824241269 36603423605 39187194683 39751716095 44231700121 46054491665 51244793047 51983013355 55652402533 60225104485 62816448071 67977786695 72776218697 82144585939 91065264955 95168901373 96539881945 107419843151 111846622615 126244461005 127491370937 135155834723 149833391435 156585271661 169121206345 176742245407 195935973415 221158500605 236769688883 256223965235 278262012665 309621900847 314082240355 328235598613 363881093485 389566817731 410722929695 439715136497 475844506865 509433530879 537099215755 575012101573 637456854685 666182309611 675779173615 751938902057 782926358305 816613824923 883711227035 946090843061 1067879617207 1183848444415 1237195717849 1396457960963 1548109504235 1641177993065 1657387822181 1947834088655 2167353305929 2198575682485 2297649190291 2547167654395 2875060507865 3078005955479 3330911548055 3759694510285 4025084711011 4083069124615 4730454215305 5263572314399 5339398086035 5716296774461 6185978589245 6622635901427 6982289804815 7475157320449 8286939110905 8660370024943 9775205726741 10836766529645 11488245951455 13882435023691 15390029777395 16083544332037 18153953492519 20125423555055 21546041688353 26317861571995 28175592977077 28581483872305 33113179507135 36845006200793 37375786602245 40014077421227 43301850124715 48876028633705 52326101243143 68426440087187 69412175118455 80417721660185 90769767462595 97177045165837 107730208441765 112584810324259 127077674447633 140877964885385 184225031003965 200070387106135 236001395402747 261630506215715 280098541948589 342132200435935 366282708702001 478985080610309 485885225829185 562924051621295 635388372238165 680239316160859 889543721133431 1180006977013735 1400492709742945 1652009767819229 1831413543510005 2394925403051545 3401196580804295 4447718605667155 4761675213126013 6226806047934017 8260048839096145 11564068374734603 23808376065630065 31134030239670085 57820341873673015 80948478623142221 404742393115711105
• Sum of all divisors σ(n): 652706130101760000
• Sum of proper divisors (its aliquot sum) s(n): 247963736986048895
• 404742393115711105 is a deficient number, because the sum of its proper divisors (247963736986048895) is less than itself. Its deficiency is 156778656129662210

Bases of 404742393115711105

• Binary: 10110011101111011110000111111100111001101000001011010000001₂
• Hexadecimal: 0x59DEF0FE7341681
• Base-36: 32P97CIQ6LXD

Squares and roots of 404742393115711105

• 404742393115711105 squared (404742393115711105²) is 163816404785032828082137589820321025
• 404742393115711105 cubed (404742393115711105³) is 66303443704306214636325404657788342966858922257482625
• The square root of 404742393115711105 is 636193675.7904082663
• The cube root of 404742393115711105 is 739706.7215691309

Scales and comparisons

• 404,742,393,115,711,105 seconds is equal to 12,869,556,150 years, 34 weeks, 1 day, 5 hours, 58 minutes, 25 seconds.
• To count from 1 to 404,742,393,115,711,105 would take you about thirty-eight billion, six hundred eight million, six hundred sixty-eight thousand, four hundred fifty-one 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 404742393115711105 cubic inches would be around 61642.2 feet tall.

Recreational maths with 404742393115711105

• 404742393115711105 backwards is 501117511393247404
• The number of decimal digits it has is: 18
• The sum of 404742393115711105's digits is 58
• More coming soon!