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312241142214 = 23250334486541
BaseRepresentation
bin1001000101100110000…
…01011011100111000110
31002211221121210111000200
410202303001123213012
520103432213022324
6355235215151330
731362424626531
oct4426301334706
91084847714020
10312241142214
11110469a91661
1250620b15546
13235a0c24121
1411180bb1a18
1581c71b3ec9
hex48b305b9c6

312241142214 has 24 divisors (see below), whose sum is σ = 677867469552. Its totient is φ = 103873458480.

The previous prime is 312241142209. The next prime is 312241142219. The reversal of 312241142214 is 412241142213.

312241142214 is a `hidden beast` number, since 3 + 1 + 22 + 411 + 4 + 221 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (312241142209) and next prime (312241142219).

It is a super-2 number, since 2×3122411422142 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312241142219) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17234217 + ... + 17252324.

It is an arithmetic number, because the mean of its divisors is an integer number (28244477898).

Almost surely, 2312241142214 is an apocalyptic number.

312241142214 is an abundant number, since it is smaller than the sum of its proper divisors (365626327338).

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

312241142214 is a wasteful number, since it uses less digits than its factorization.

312241142214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34487052 (or 34487049 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 312241142214 its reverse (412241142213), we get a palindrome (724482284427).

Subtracting 312241142214 from its reverse (412241142213), we obtain a palindrome (99999999999).

The spelling of 312241142214 in words is "three hundred twelve billion, two hundred forty-one million, one hundred forty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 503 1006 1509 3018 4527 9054 34486541 68973082 103459623 206919246 310378869 620757738 17346730123 34693460246 52040190369 104080380738 156120571107 312241142214