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140401413 = 32101257601
BaseRepresentation
bin10000101111001…
…01101100000101
3100210012010112100
420113211230011
5241420321123
621533142313
73323251365
oct1027455405
9323163470
10140401413
1172286729
123b02a999
132311ac79
141490a9a5
15c4d5643
hex85e5b05

140401413 has 24 divisors (see below), whose sum is σ = 205949016. Its totient is φ = 92160000.

The previous prime is 140401403. The next prime is 140401423. The reversal of 140401413 is 314104041.

It is an interprime number because it is at equal distance from previous prime (140401403) and next prime (140401423).

It can be written as a sum of positive squares in 4 ways, for example, as 122279364 + 18122049 = 11058^2 + 4257^2 .

It is not a de Polignac number, because 140401413 - 213 = 140393221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140401403) 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 23 ways as a sum of consecutive naturals, for example, 233313 + ... + 233913.

It is an arithmetic number, because the mean of its divisors is an integer number (8581209).

Almost surely, 2140401413 is an apocalyptic number.

It is an amenable number.

140401413 is a deficient number, since it is larger than the sum of its proper divisors (65547603).

140401413 is a wasteful number, since it uses less digits than its factorization.

140401413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 140401413 is about 11849.1102197591. The cubic root of 140401413 is about 519.7452067825.

Adding to 140401413 its reverse (314104041), we get a palindrome (454505454).

The spelling of 140401413 in words is "one hundred forty million, four hundred one thousand, four hundred thirteen".

Divisors: 1 3 9 101 257 303 601 771 909 1803 2313 5409 25957 60701 77871 154457 182103 233613 463371 546309 1390113 15600157 46800471 140401413