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140040414 = 2351931493
BaseRepresentation
bin10000101100011…
…01100011011110
3100202111210100000
420112031203132
5241322243124
621521315130
73320216043
oct1026154336
9322453300
10140040414
117205a488
123aa95aa6
1323022867
14148551ca
15c4636c9
hex858d8de

140040414 has 48 divisors (see below), whose sum is σ = 316500912. Its totient is φ = 46407168.

The previous prime is 140040413. The next prime is 140040437. The reversal of 140040414 is 414040041.

140040414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1400404142 = 39222635106582792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140040413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93052 + ... + 94544.

It is an arithmetic number, because the mean of its divisors is an integer number (6593769).

Almost surely, 2140040414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140040414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158250456).

140040414 is an abundant number, since it is smaller than the sum of its proper divisors (176460498).

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

140040414 is a wasteful number, since it uses less digits than its factorization.

140040414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 140040414 is about 11833.8672461711. The cubic root of 140040414 is about 519.2993695345.

Adding to 140040414 its reverse (414040041), we get a palindrome (554080455).

It can be divided in two parts, 1400 and 40414, that added together give a palindrome (41814).

The spelling of 140040414 in words is "one hundred forty million, forty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 193 243 386 486 579 1158 1493 1737 2986 3474 4479 5211 8958 10422 13437 15633 26874 31266 40311 46899 80622 93798 120933 241866 288149 362799 576298 725598 864447 1728894 2593341 5186682 7780023 15560046 23340069 46680138 70020207 140040414