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140400153 = 3264124337
BaseRepresentation
bin10000101111001…
…01011000011001
3100210012001210200
420113211120121
5241420301103
621533132413
73323244615
oct1027453031
9323161720
10140400153
1172285793
123b02a109
132311a51a
141490a345
15c4d50a3
hex85e5619

140400153 has 12 divisors (see below), whose sum is σ = 203124948. Its totient is φ = 93450240.

The previous prime is 140400133. The next prime is 140400173. The reversal of 140400153 is 351004041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (140400133) and next prime (140400173).

It can be written as a sum of positive squares in 2 ways, for example, as 136609344 + 3790809 = 11688^2 + 1947^2 .

It is not a de Polignac number, because 140400153 - 25 = 140400121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (140400103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6400 + ... + 17937.

It is an arithmetic number, because the mean of its divisors is an integer number (16927079).

Almost surely, 2140400153 is an apocalyptic number.

It is an amenable number.

140400153 is a deficient number, since it is larger than the sum of its proper divisors (62724795).

140400153 is a wasteful number, since it uses less digits than its factorization.

140400153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24984 (or 24981 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 140400153 is about 11849.0570510906. The cubic root of 140400153 is about 519.7436520002.

Adding to 140400153 its reverse (351004041), we get a palindrome (491404194).

The spelling of 140400153 in words is "one hundred forty million, four hundred thousand, one hundred fifty-three".

Divisors: 1 3 9 641 1923 5769 24337 73011 219033 15600017 46800051 140400153