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40234644643204 = 221123126314517027
BaseRepresentation
bin10010010010111110110111…
…01100111001110110000100
312021110101122120012220212101
421021133123230321312010
520233201023012040304
6221323312433201444
711321600000436304
oct1111373354716604
9167411576186771
1040234644643204
1111902464a93500
1246198b1100284
13195b1592ca0cb
149d151d803604
1549b8de92a8a4
hex2497dbb39d84

40234644643204 has 144 divisors (see below), whose sum is σ = 80260517449728. Its totient is φ = 17616570840000.

The previous prime is 40234644643169. The next prime is 40234644643241.

40234644643204 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5725717939 + ... + 5725724965.

It is an arithmetic number, because the mean of its divisors is an integer number (557364704512).

Almost surely, 240234644643204 is an apocalyptic number.

40234644643204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40234644643204 is a deficient number, since it is larger than the sum of its proper divisors (40025872806524).

40234644643204 is a wasteful number, since it uses less digits than its factorization.

40234644643204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8798 (or 8785 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 46.

It can be divided in two parts, 4023464 and 4643204, that added together give a palindrome (8666668).

The spelling of 40234644643204 in words is "forty trillion, two hundred thirty-four billion, six hundred forty-four million, six hundred forty-three thousand, two hundred four".

Divisors: 1 2 4 11 22 31 44 62 121 124 242 263 341 484 526 682 1052 1364 1451 2893 2902 3751 5786 5804 7027 7502 8153 11572 14054 15004 15961 16306 28108 31823 31922 32612 44981 63646 63844 77297 89683 89962 127292 154594 175571 179366 179924 217837 309188 351142 358732 381613 435674 494791 702284 763226 850267 871348 986513 989582 1526452 1700534 1848101 1973026 1979164 2396207 3401068 3696202 3946052 4197743 4792414 5442701 7392404 8395486 9584828 10196177 10885402 11830003 16790972 20329111 20392354 21770804 23660006 26358277 40658222 40784708 46175173 47320012 52716554 57291131 81316444 92350346 105433108 112157947 114582262 130130033 184700692 223620221 224315894 229164524 260260066 316081487 447240442 448631788 520520132 630202441 632162974 894480884 1233737417 1260404882 1264325948 1431430363 2467474834 2520809764 2681594551 2862860726 3476896357 4934949668 5363189102 5725721452 6932226851 6953792714 10726378204 13864453702 13907585428 27728907404 29497540061 38245859927 58995080122 76491719854 83129431081 117990160244 152983439708 166258862162 324472940671 332517724324 648945881342 914423741891 1297891762684 1828847483782 3657694967564 10058661160801 20117322321602 40234644643204