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40055431514320 = 245850095889881
BaseRepresentation
bin10010001101110001000011…
…10001000100100011010000
312020211021001220002200212101
421012320201301010203100
520222232010431424240
6221105113342010144
711302623635122135
oct1106704161044320
9166737056080771
1040055431514320
111184345a935232
1245ab016b76954
1319472986bc991
149c699c31658c
15496e0135439a
hex246e21c448d0

40055431514320 has 40 divisors (see below), whose sum is σ = 93129989600520. Its totient is φ = 16021981409280.

The previous prime is 40055431514309. The next prime is 40055431514381. The reversal of 40055431514320 is 2341513455004.

It can be written as a sum of positive squares in 4 ways, for example, as 8276415519376 + 31779015994944 = 2876876^2 + 5637288^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 40055431514320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3855780 + ... + 9745660.

It is an arithmetic number, because the mean of its divisors is an integer number (2328249740013).

Almost surely, 240055431514320 is an apocalyptic number.

40055431514320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40055431514320 is an abundant number, since it is smaller than the sum of its proper divisors (53074558086200).

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

40055431514320 is a wasteful number, since it uses less digits than its factorization.

40055431514320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5974903 (or 5974897 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

Adding to 40055431514320 its reverse (2341513455004), we get a palindrome (42396944969324).

The spelling of 40055431514320 in words is "forty trillion, fifty-five billion, four hundred thirty-one million, five hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 85009 170018 340036 425045 680072 850090 1360144 1700180 3400360 5889881 6800720 11779762 23559524 29449405 47119048 58898810 94238096 117797620 235595240 471190480 500692893929 1001385787858 2002771575716 2503464469645 4005543151432 5006928939290 8011086302864 10013857878580 20027715757160 40055431514320