401688978976768

Names of 401688978976768

• Cardinal: 401688978976768 can be written as Four hundred one trillion, six hundred eighty-eight billion, nine hundred seventy-eight million, nine hundred seventy-six thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 4.01688978976768 × 10¹⁴

Factors of 401688978976768

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 503

Divisors of 401688978976768

• Number of divisors d(n): 468
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 37 49 56 64 74 98 112 128 148 196 224 256 259 296 343 392 448 457 512 518 592 686 784 896 914 1024 1036 1184 1369 1372 1568 1792 1813 1828 2048 2072 2368 2738 2744 3136 3199 3584 3626 3656 4096 4144 4736 5476 5488 6272 6398 7168 7252 7312 8288 9472 9583 10952 10976 12544 12691 12796 14336 14504 14624 16576 16909 18944 19166 21904 21952 22393 25088 25382 25592 28672 29008 29248 33152 33818 37888 38332 43808 43904 44786 50176 50764 51184 58016 58496 66304 67081 67636 75776 76664 87616 87808 89572 100352 101528 102368 116032 116992 118363 132608 134162 135272 151552 153328 156751 175232 175616 179144 200704 203056 204736 208849 232064 233984 236726 265216 268324 270544 306656 313502 350464 351232 358288 406112 409472 417698 464128 467968 469567 473452 530432 536648 541088 613312 625633 627004 700928 702464 716576 812224 818944 828541 835396 928256 935936 939134 946904 1060864 1073296 1082176 1226624 1251266 1254008 1401856 1404928 1433152 1461943 1624448 1637888 1657082 1670792 1856512 1871872 1878268 1893808 2146592 2164352 2453248 2502532 2508016 2803712 2866304 2923886 3248896 3275776 3314164 3341584 3713024 3756536 3787616 4293184 4328704 4379431 4906496 5005064 5016032 5607424 5732608 5799787 5847772 6497792 6551552 6628328 6683168 7426048 7513072 7575232 7727413 8586368 8657408 8758862 9812992 10010128 10032064 10233601 11465216 11599574 11695544 12995584 13103104 13256656 13366336 15026144 15150464 15454826 17172736 17314816 17517724 19625984 20020256 20064128 20467202 22930432 23199148 23391088 25991168 26513312 26732672 30052288 30300928 30656017 30909652 34345472 34629632 35035448 39251968 40040512 40128256 40934404 45860864 46398296 46782176 51982336 53026624 53465344 54091891 60104576 60601856 61312034 61819304 68690944 69259264 70070896 71635207 80081024 80256512 81868808 91721728 92796592 93564352 106053248 106930688 108183782 120209152 121203712 122624068 123638608 137381888 140141792 143270414 160162048 160513024 163737616 185593184 187128704 212106496 213861376 214592119 216367564 240418304 242407424 245248136 247277216 274763776 280283584 285914281 286540828 320324096 321026048 327475232 371186368 374257408 378643237 424212992 427722752 429184238 432735128 480836608 484814848 490496272 494554432 560567168 571828562 573081656 640648192 642052096 654950464 742372736 748514816 757286474 848425984 855445504 858368476 865470256 961673216 980992544 989108864 1121134336 1143657124 1146163312 1281296384 1309900928 1484745472 1497029632 1514572948 1696851968 1716736952 1730940512 1923346432 1961985088 1978217728 2001399967 2242268672 2287314248 2292326624 2562592768 2619801856 2650502659 2969490944 2994059264 3029145896 3393703936 3433473904 3461881024 3923970176 3956435456 4002799934 4484537344 4574628496 4584653248 5239603712 5301005318 5938981888 5988118528 6058291792 6866947808 6923762048 7847940352 7912870912 8005599868 8969074688 9149256992 9169306496 10479207424 10602010636 11877963776 12116583584 13733895616 13847524096 14009799769 15695880704 15825741824 16011199736 17938149376 18298513984 18338612992 20958414848 21204021272 23755927552 24233167168 27467791232 27695048192 28019599538 31391761408 31651483648 32022399472 36597027968 36677225984 41916829696 42408042544 48466334336 54935582464 55390096384 56039199076 62783522816 64044798944 73194055936 73354451968 84816085088 96932668672 98068598383 109871164928 110780192768 112078398152 125567045632 128089597888 146388111872 146708903936 169632170176 193865337344 196137196766 219742329856 221560385536 224156796304 256179195776 292776223744 293417807872 339264340352 387730674688 392274393532 439484659712 448313592608 512358391552 585552447488 678528680704 775461349376 784548787064 878969319424 896627185216 1024716783104 1171104894976 1357057361408 1550922698752 1569097574128 1793254370432 2049433566208 2714114722816 3138195148256 3586508740864 4098867132416 5428229445632 6276390296512 7173017481728 8197734264832 10856458891264 12552780593024 14346034963456 25105561186048 28692069926912 50211122372096 57384139853824 100422244744192 200844489488384 401688978976768
• Sum of all divisors σ(n): 964883250903600
• Sum of proper divisors (its aliquot sum) s(n): 563194271926832
• 401688978976768 is an abundant number, because the sum of its proper divisors (563194271926832) is greater than itself. Its abundance is 161505292950064

Bases of 401688978976768

• Binary: 1011011010101010110000000111001101111000000000000₂
• Hexadecimal: 0x16D5580E6F000
• Base-36: 3YDXDAS3R4

Squares and roots of 401688978976768

• 401688978976768 squared (401688978976768²) is 161354035831398364280283725824
• 401688978976768 cubed (401688978976768³) is 64814137906895248129582192857598942177656832
• The square root of 401688978976768 is 20042179.9956184407
• The cube root of 401688978976768 is 73784.1885482551

Scales and comparisons

• 401,688,978,976,768 seconds is equal to 12,772,467 years, 1 week, 2 days, 9 hours, 59 minutes, 28 seconds.
• To count from 1 to 401,688,978,976,768 would take you about thirty-one million, nine hundred thirty-one thousand, one hundred sixty-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 401688978976768 cubic inches would be around 6148.7 feet tall.

Recreational maths with 401688978976768

• 401688978976768 backwards is 867679879886104
• The number of decimal digits it has is: 15
• The sum of 401688978976768's digits is 94
• More coming soon!