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312414123431334 = 23536411532658893
BaseRepresentation
bin100011100001000111001010…
…0110110011001010110100110
31111222011111110102022201011210
41013002032110312121112212
5311422043111044300314
63024241022244412250
7122543114134544211
oct10702162466312646
91458144412281153
10312414123431334
11905aa0a406a721
122b057b499a7086
13105426aa49a5a2
145720cd2220778
15261b91d03d559
hex11c2394d995a6

312414123431334 has 32 divisors (see below), whose sum is σ = 637610622446304. Its totient is φ = 102013775851520.

The previous prime is 312414123431279. The next prime is 312414123431339. The reversal of 312414123431334 is 433134321414213.

It is a junction number, because it is equal to n+sod(n) for n = 312414123431292 and 312414123431301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312414123431339) 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 15 ways as a sum of consecutive naturals, for example, 766125609 + ... + 766533284.

It is an arithmetic number, because the mean of its divisors is an integer number (19925331951447).

Almost surely, 2312414123431334 is an apocalyptic number.

312414123431334 is an abundant number, since it is smaller than the sum of its proper divisors (325196499014970).

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

312414123431334 is a wasteful number, since it uses less digits than its factorization.

312414123431334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532659592.

The product of its digits is 248832, while the sum is 39.

Adding to 312414123431334 its reverse (433134321414213), we get a palindrome (745548444845547).

The spelling of 312414123431334 in words is "three hundred twelve trillion, four hundred fourteen billion, one hundred twenty-three million, four hundred thirty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 53 106 159 318 641 1282 1923 3846 33973 67946 101919 203838 1532658893 3065317786 4597976679 9195953358 81230921329 162461842658 243692763987 487385527974 982434350413 1964868700826 2947303051239 5894606102478 52069020571889 104138041143778 156207061715667 312414123431334