401039801905152

Names of 401039801905152

• Cardinal: 401039801905152 can be written as Four hundred one trillion, thirty-nine billion, eight hundred one million, nine hundred five thousand, one hundred fifty-two.

Scientific notation

• Scientific notation: 4.01039801905152 × 10¹⁴

Factors of 401039801905152

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 105215

Divisors of 401039801905152

• Number of divisors d(n): 624
• Complete list of divisors:
  1 2 3 4 6 8 12 16 17 19 24 31 32 34 38 48 51 57 62 64 68 76 93 96 102 114 124 128 136 152 186 192 204 228 248 256 272 304 323 372 384 408 456 496 512 527 544 589 608 646 744 768 816 912 961 969 992 1024 1054 1088 1178 1216 1292 1488 1536 1581 1632 1767 1824 1922 1938 1984 2048 2108 2176 2356 2432 2584 2883 2976 3072 3162 3264 3534 3648 3844 3876 3968 4096 4216 4352 4712 4864 5168 5766 5952 6144 6324 6528 7068 7296 7688 7752 7936 8432 8704 9424 9728 10013 10336 11532 11904 12288 12648 13056 14136 14592 15376 15504 15872 16337 16864 17408 18259 18848 19456 20026 20672 23064 23808 25296 26112 28272 29184 30039 30752 31008 31744 32674 33728 34816 36518 37696 38912 40052 41344 46128 47616 49011 50592 52224 54777 56544 58368 60078 61504 62016 63488 65348 67456 69632 73036 75392 77824 80104 82688 92256 95232 98022 101184 104448 105143 109554 113088 116736 120156 123008 124032 126976 130696 134912 146072 150784 160208 165376 184512 190464 196044 202368 208896 210286 219108 226176 233472 240312 246016 248064 261392 269824 292144 301568 310403 315429 320416 330752 369024 380928 392088 404736 420572 438216 452352 480624 492032 496128 522784 539648 584288 603136 620806 630858 640832 661504 738048 784176 809472 841144 876432 904704 931209 961248 984064 992256 1045568 1079296 1168576 1206272 1241612 1261716 1281664 1323008 1476096 1568352 1618944 1682288 1752864 1787431 1809408 1862418 1922496 1968128 1984512 1997717 2091136 2158592 2337152 2412544 2483224 2523432 2563328 2952192 3136704 3237888 3259433 3364576 3505728 3574862 3618816 3724836 3844992 3936256 3969024 3995434 4182272 4674304 4966448 5046864 5126656 5362293 5904384 5993151 6273408 6475776 6518866 6729152 7011456 7149724 7237632 7449672 7689984 7990868 8364544 9348608 9778299 9932896 10093728 10253312 10724586 11808768 11986302 12546816 13037732 13458304 14022912 14299448 14899344 15379968 15981736 16729088 18697216 19556598 19865792 20187456 20506624 21449172 23972604 25093632 26075464 26916608 28045824 28598896 29798688 30759936 31963472 33458176 33961189 37394432 39113196 39731584 40374912 41013248 42898344 47945208 50187264 52150928 53833216 55410361 56091648 57197792 59597376 61519872 61929227 63926944 66916352 67922378 74788864 78226392 79463168 80749824 85796688 95890416 100374528 101042423 101883567 104301856 107666432 110820722 112183296 114395584 119194752 123039744 123858454 127853888 135844756 156452784 158926336 161499648 166231083 171593376 185787681 191780832 200749056 202084846 203767134 208603712 215332864 221641444 224366592 228791168 238389504 247716908 255707776 271689512 303127269 312905568 317852672 322999296 332462166 343186752 371575362 383561664 404169692 407534268 417207424 430665728 443282888 457582336 476779008 495433816 511415552 543379024 606254538 625811136 635705344 645998592 664924332 686373504 743150724 767123328 808339384 815068536 834414848 886565776 915164672 953558016 990867632 1022831104 1052796859 1086758048 1212509076 1251622272 1271410688 1291997184 1329848664 1372747008 1486301448 1534246656 1616678768 1630137072 1668829696 1717721191 1773131552 1830329344 1907116032 1919806037 1981735264 2045662208 2105593718 2173516096 2425018152 2503244544 2659697328 2745494016 2972602896 3068493312 3158390577 3233357536 3260274144 3337659392 3435442382 3546263104 3660658688 3814232064 3839612074 3963470528 4091324416 4211187436 4347032192 4850036304 5006489088 5153163573 5319394656 5490988032 5759418111 5945205792 6136986624 6316781154 6466715072 6520548288 6675318784 6870884764 7092526208 7321317376 7679224148 7926941056 8182648832 8422374872 8694064384 9700072608 10012978176 10306327146 10638789312 10981976064 11518836222 11890411584 12273973248 12633562308 12933430144 13041096576 13350637568 13741769528 14185052416 15358448296 15853882112 16844749744 17388128768 19400145216 20025956352 20612654292 21277578624 21963952128 23037672444 23780823168 24547946496 25267124616 25866860288 26082193152 27483539056 28370104832 30716896592 31707764224 32636702629 33689499488 34776257536 38800290432 40051912704 41225308584 42555157248 46075344888 47561646336 50534249232 51733720576 52164386304 54967078112 56740209664 61433793184 63415528448 65273405258 67378998976 69552515072 77600580864 82450617168 85110314496 92150689776 95123292672 97910107887 101068498464 103467441152 104328772608 109934156224 113480419328 122867586368 126831056896 130546810516 134757997952 139105030144 155201161728 164901234336 170220628992 184301379552 190246585344 195820215774 202136996928 206934882304 208657545216 219868312448 226960838656 245735172736 253662113792 261093621032 269515995904 310402323456 329802468672 340441257984 368602759104 380493170688 391640431548 404273993856 413869764608 417315090432 439736624896 491470345472 522187242064 539031991808 620804646912 659604937344 680882515968 737205518208 760986341376 783280863096 808547987712 879473249792 982940690944 1044374484128 1078063983616 1241609293824 1319209874688 1474411036416 1566561726192 1617095975424 1758946499584 1965881381888 2088748968256 2156127967232 2638419749376 2948822072832 3133123452384 3234191950848 3517892999168 3931762763776 4177497936512 4312255934464 5276839498752 5897644145664 6266246904768 6468383901696 7035785998336 7863525527552 8354995873024 10553678997504 11795288291328 12532493809536 12936767803392 16709991746048 21107357995008 23590576582656 25064987619072 33419983492096 50129975238144 66839966984192 100259950476288 133679933968384 200519900952576 401039801905152
• Sum of all divisors σ(n): 1231496441959680
• Sum of proper divisors (its aliquot sum) s(n): 830456640054528
• 401039801905152 is an abundant number, because the sum of its proper divisors (830456640054528) is greater than itself. Its abundance is 429416838149376

Bases of 401039801905152

• Binary: 1011011001011111001011010111011101111000000000000₂
• Hexadecimal: 0x16CBE5AEEF000
• Base-36: 3Y5N53IHHC

Squares and roots of 401039801905152

• 401039801905152 squared (401039801905152²) is 160832922712123557728804143104
• 401039801905152 cubed (401039801905152³) is 64500403464296653537695688043746210042871808
• The square root of 401039801905152 is 20025978.1759881083
• The cube root of 401039801905152 is 73744.4191141525

Scales and comparisons

• 401,039,801,905,152 seconds is equal to 12,751,825 years, 10 weeks, 3 days, 21 hours, 39 minutes, 12 seconds.
• To count from 1 to 401,039,801,905,152 would take you about thirty-one million, eight hundred seventy-nine thousand, five hundred sixty-three 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 401039801905152 cubic inches would be around 6145.4 feet tall.

Recreational maths with 401039801905152

• 401039801905152 backwards is 251509108930104
• 401039801905152 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 401039801905152's digits is 48
• More coming soon!