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1214004310431 = 311831283345463
BaseRepresentation
bin10001101010101000010…
…010111011000110011111
311022001120001021210100120
4101222220102323012133
5124342240100413211
62325412245330023
7153465105243303
oct21525022730637
94261501253316
101214004310431
11428946869870
12177347706913
138a631a75823
1442a88403d03
15218a43c0d06
hex11aa84bb19f

1214004310431 has 32 divisors (see below), whose sum is σ = 1788497528832. Its totient is φ = 726326945760.

The previous prime is 1214004310423. The next prime is 1214004310459. The reversal of 1214004310431 is 1340134004121.

It is not a de Polignac number, because 1214004310431 - 23 = 1214004310423 is a prime.

It is a super-2 number, since 2×12140043104312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214004310031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3341406 + ... + 3686868.

It is an arithmetic number, because the mean of its divisors is an integer number (55890547776).

Almost surely, 21214004310431 is an apocalyptic number.

1214004310431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1214004310431 is a deficient number, since it is larger than the sum of its proper divisors (574493218401).

1214004310431 is a wasteful number, since it uses less digits than its factorization.

1214004310431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346843.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1214004310431 its reverse (1340134004121), we get a palindrome (2554138314552).

The spelling of 1214004310431 in words is "one trillion, two hundred fourteen billion, four million, three hundred ten thousand, four hundred thirty-one".

Divisors: 1 3 11 33 83 249 913 1283 2739 3849 14113 42339 106489 319467 345463 1036389 1171379 3514137 3800093 11400279 28673429 86020287 315407719 443229029 946223157 1329687087 4875519319 14626557957 36788009407 110364028221 404668103477 1214004310431