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40124233242104 = 23113153277515031
BaseRepresentation
bin10010001111110001001101…
…01010110101010111111000
312021001211122210200121021112
421013320212222311113320
520224343412202221404
6221200452425455452
711310610622140604
oct1107704652652770
9167054583617245
1040124233242104
111186a6566a0690
124600418641588
1319509117c93cb
149ca047b2c504
15498acb66b56e
hex247e26ab55f8

40124233242104 has 64 divisors (see below), whose sum is σ = 86318275553280. Its totient is φ = 17316937872000.

The previous prime is 40124233242103. The next prime is 40124233242113.

It is a happy number.

40124233242104 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40124233242103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138612932 + ... + 138902099.

It is an arithmetic number, because the mean of its divisors is an integer number (1348723055520).

Almost surely, 240124233242104 is an apocalyptic number.

40124233242104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40124233242104 is an abundant number, since it is smaller than the sum of its proper divisors (46194042311176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40124233242104 is a wasteful number, since it uses less digits than its factorization.

40124233242104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277515132 (or 277515128 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 4012423 and 3242104, that added together give a palindrome (7254527).

The spelling of 40124233242104 in words is "forty trillion, one hundred twenty-four billion, two hundred thirty-three million, two hundred forty-two thousand, one hundred four".

Divisors: 1 2 4 8 11 22 31 44 53 62 88 106 124 212 248 341 424 583 682 1166 1364 1643 2332 2728 3286 4664 6572 13144 18073 36146 72292 144584 277515031 555030062 1110060124 2220120248 3052665341 6105330682 8602965961 12210661364 14708296643 17205931922 24421322728 29416593286 34411863844 58833186572 68823727688 94632625571 117666373144 161791263073 189265251142 323582526146 378530502284 455957195933 647165052292 757061004568 911914391866 1294330104584 1823828783732 3647657567464 5015529155263 10031058310526 20062116621052 40124233242104