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412331133214 = 2721113172611669
BaseRepresentation
bin1100000000000001101…
…10011100100100011110
31110102022001202211201101
412000000312130210132
523223423232230324
6513231115103314
741534643542500
oct6000066344436
91412261684641
10412331133214
111499611a2290
1267ab4a41b3a
132cb62281680
1415d57b79d70
15aad4277944
hex6000d9c91e

412331133214 has 288 divisors, whose sum is σ = 913170615840. Its totient is φ = 137197670400.

The previous prime is 412331133169. The next prime is 412331133217.

412331133214 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412331133217) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 247051972 + ... + 247053640.

It is an arithmetic number, because the mean of its divisors is an integer number (3170731305).

Almost surely, 2412331133214 is an apocalyptic number.

412331133214 is an abundant number, since it is smaller than the sum of its proper divisors (500839482626).

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

412331133214 is a wasteful number, since it uses less digits than its factorization.

412331133214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1780 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

It can be divided in two parts, 412331 and 133214, that added together give a palindrome (545545).

The spelling of 412331133214 in words is "four hundred twelve billion, three hundred thirty-one million, one hundred thirty-three thousand, two hundred fourteen".