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40137041378317 = 1323149900923467
BaseRepresentation
bin10010010000001001000100…
…00101111111110000001101
312021010001201102110100002211
421020010202011333300031
520230101130043101232
6221210411404350421
711311543205405602
oct1110044205776015
9167101642410084
1040137041378317
111187502953aa24
1246029b1b45411
131951ba3202230
149ca900bd26a9
154990cad1ea47
hex24812217fc0d

40137041378317 has 16 divisors (see below), whose sum is σ = 45406542787200. Its totient is φ = 35200881663552.

The previous prime is 40137041378279. The next prime is 40137041378341. The reversal of 40137041378317 is 71387314073104.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40137041378317 is a prime.

It is a super-2 number, since 2×401370413783172 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40137041370317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 450417183 + ... + 450506284.

It is an arithmetic number, because the mean of its divisors is an integer number (2837908924200).

Almost surely, 240137041378317 is an apocalyptic number.

It is an amenable number.

40137041378317 is a deficient number, since it is larger than the sum of its proper divisors (5269501408883).

40137041378317 is a wasteful number, since it uses less digits than its factorization.

40137041378317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900923652.

The product of its (nonzero) digits is 1185408, while the sum is 49.

The spelling of 40137041378317 in words is "forty trillion, one hundred thirty-seven billion, forty-one million, three hundred seventy-eight thousand, three hundred seventeen".

Divisors: 1 13 23 149 299 1937 3427 44551 900923467 11712005071 20721239741 134237596583 269376116633 1745088755579 3087464721409 40137041378317