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214140031431 = 310114940911597
BaseRepresentation
bin1100011101101110111…
…1011001000111000111
3202110201210020201002020
43013123233121013013
512002024322001211
6242212524014223
721320406143304
oct3073357310707
9673653221066
10214140031431
11828a8513097
1235603091373
1317268949791
14a51600a0ab
155884a18306
hex31dbbd91c7

214140031431 has 32 divisors (see below), whose sum is σ = 291017016000. Its totient is φ = 140042572800.

The previous prime is 214140031409. The next prime is 214140031439. The reversal of 214140031431 is 134130041412.

It is not a de Polignac number, because 214140031431 - 215 = 214139998663 is a prime.

It is a super-2 number, since 2×2141400314312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214140031439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18459325 + ... + 18470921.

It is an arithmetic number, because the mean of its divisors is an integer number (9094281750).

Almost surely, 2214140031431 is an apocalyptic number.

214140031431 is a deficient number, since it is larger than the sum of its proper divisors (76876984569).

214140031431 is a wasteful number, since it uses less digits than its factorization.

214140031431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12259.

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

Adding to 214140031431 its reverse (134130041412), we get a palindrome (348270072843).

The spelling of 214140031431 in words is "two hundred fourteen billion, one hundred forty million, thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 101 149 303 409 447 1227 11597 15049 34791 41309 45147 60941 123927 182823 1171297 1727953 3513891 4743173 5183859 6155041 14229519 18465123 174523253 479060473 523569759 706732777 1437181419 2120198331 71380010477 214140031431