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2414404431 = 325918125121
BaseRepresentation
bin1000111111101000…
…1110001101001111
320020021010110020100
42033322032031033
514421041420211
61035325022143
7113555045655
oct21772161517
96207113210
102414404431
11102996086a
125746b4953
132c629019a
1418c92cdd5
15e1e6e156
hex8fe8e34f

2414404431 has 24 divisors (see below), whose sum is σ = 3566319120. Its totient is φ = 1573516800.

The previous prime is 2414404427. The next prime is 2414404457. The reversal of 2414404431 is 1344044142.

It is not a de Polignac number, because 2414404431 - 22 = 2414404427 is a prime.

It is a super-2 number, since 2×24144044312 = 11658697512864867522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2414404395 and 2414404404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414404471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83551 + ... + 108671.

It is an arithmetic number, because the mean of its divisors is an integer number (148596630).

Almost surely, 22414404431 is an apocalyptic number.

2414404431 is a deficient number, since it is larger than the sum of its proper divisors (1151914689).

2414404431 is a wasteful number, since it uses less digits than its factorization.

2414404431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25367 (or 25364 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2414404431 is about 49136.5895336663. The cubic root of 2414404431 is about 1341.5391149620.

Adding to 2414404431 its reverse (1344044142), we get a palindrome (3758448573).

The spelling of 2414404431 in words is "two billion, four hundred fourteen million, four hundred four thousand, four hundred thirty-one".

Divisors: 1 3 9 59 177 181 531 543 1629 10679 25121 32037 75363 96111 226089 1482139 4446417 4546901 13339251 13640703 40922109 268267159 804801477 2414404431