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400141314 = 23222230073
BaseRepresentation
bin10111110110011…
…010110000000010
31000212221021200200
4113312122300002
51304414010224
6103412230030
712626100516
oct2766326002
91025837620
10400141314
11195962101
12b200b316
1364b90a11
143b200146
15251e05c9
hex17d9ac02

400141314 has 12 divisors (see below), whose sum is σ = 866972886. Its totient is φ = 133380432.

The previous prime is 400141307. The next prime is 400141337. The reversal of 400141314 is 413141004.

It can be written as a sum of positive squares in only one way, i.e., 396209025 + 3932289 = 19905^2 + 1983^2 .

It is a super-2 number, since 2×4001413142 = 320226142339293192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 22230073 = 400141314 / (4 + 0 + 0 + 1 + 4 + 1 + 3 + 1 + 4).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11115019 + ... + 11115054.

Almost surely, 2400141314 is an apocalyptic number.

400141314 is an abundant number, since it is smaller than the sum of its proper divisors (466831572).

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

400141314 is a wasteful number, since it uses less digits than its factorization.

400141314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22230081 (or 22230078 counting only the distinct ones).

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

The square root of 400141314 is about 20003.5325380294. The cubic root of 400141314 is about 736.8930570501.

Adding to 400141314 its reverse (413141004), we get a palindrome (813282318).

It can be divided in two parts, 40014 and 1314, that added together give a triangular number (41328 = T287).

The spelling of 400141314 in words is "four hundred million, one hundred forty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 22230073 44460146 66690219 133380438 200070657 400141314