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400431234252353 = 19717414271273359
BaseRepresentation
bin101101100001100001010100…
…1011110010111111001000001
31221111210212000012120220102212
41123003002221132113321001
5404441131131432033403
63535351323001351505
7150226126163406503
oct13303025136277101
91844725005526385
10400431234252353
11106653a29573097
1238ab230a198595
1314258670b79005
1470c4d91b3dd73
153146206ba54d8
hex16c30a9797e41

400431234252353 has 16 divisors (see below), whose sum is σ = 402790807710720. Its totient is φ = 398075072606400.

The previous prime is 400431234252331. The next prime is 400431234252391. The reversal of 400431234252353 is 353252432134004.

It is a cyclic number.

It is not a de Polignac number, because 400431234252353 - 212 = 400431234248257 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 400431234252353.

It is not an unprimeable number, because it can be changed into a prime (400431234252853) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1464718088 + ... + 1464991446.

It is an arithmetic number, because the mean of its divisors is an integer number (25174425481920).

Almost surely, 2400431234252353 is an apocalyptic number.

It is an amenable number.

400431234252353 is a deficient number, since it is larger than the sum of its proper divisors (2359573458367).

400431234252353 is a wasteful number, since it uses less digits than its factorization.

400431234252353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279568.

The product of its (nonzero) digits is 1036800, while the sum is 41.

Adding to 400431234252353 its reverse (353252432134004), we get a palindrome (753683666386357).

The spelling of 400431234252353 in words is "four hundred trillion, four hundred thirty-one billion, two hundred thirty-four million, two hundred fifty-two thousand, three hundred fifty-three".

Divisors: 1 197 1741 4271 273359 342977 841387 7435811 53851723 475918019 1167516289 1464854767 93755849743 230000708933 2032645859149 400431234252353