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412230032214 = 2371113378092293
BaseRepresentation
bin1011111111110101101…
…00110001101101010110
31110102001000112101012220
411333322310301231112
523223221342012324
6513213104123210
741532305313420
oct5777264615526
91412030471186
10412230032214
1114990a119640
1267a87006506
132cb473439b0
1415d4857d810
15aaca456b79
hex5ffad31b56

412230032214 has 256 divisors, whose sum is σ = 1138787112960. Its totient is φ = 96004362240.

The previous prime is 412230032147. The next prime is 412230032233.

It is a happy number.

412230032214 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 179776452 + ... + 179778744.

It is an arithmetic number, because the mean of its divisors is an integer number (4448387160).

Almost surely, 2412230032214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412230032214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569393556480).

412230032214 is an abundant number, since it is smaller than the sum of its proper divisors (726557080746).

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

412230032214 is a wasteful number, since it uses less digits than its factorization.

412230032214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3175.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 4122300 and 32214, that added together give a palindrome (4154514).

The spelling of 412230032214 in words is "four hundred twelve billion, two hundred thirty million, thirty-two thousand, two hundred fourteen".