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214204434444 = 2233711131981393
BaseRepresentation
bin1100011101111110010…
…1000100100000001100
3202110220021102201102000
43013133211010200030
512002142313400234
6242223144232300
721322120436220
oct3073745044014
9673807381360
10214204434444
1182930901020
123562076b690
13172790a8880
14a5207b2780
15588a4da899
hex31df94480c

214204434444 has 192 divisors, whose sum is σ = 745638190080. Its totient is φ = 51357680640.

The previous prime is 214204434439. The next prime is 214204434449. The reversal of 214204434444 is 444434402412.

It is a happy number.

214204434444 is a `hidden beast` number, since 2 + 1 + 4 + 204 + 4 + 3 + 4 + 444 = 666.

It is an interprime number because it is at equal distance from previous prime (214204434439) and next prime (214204434449).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 214204434399 and 214204434408.

It is not an unprimeable number, because it can be changed into a prime (214204434449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 882589 + ... + 1098804.

It is an arithmetic number, because the mean of its divisors is an integer number (3883532240).

Almost surely, 2214204434444 is an apocalyptic number.

It is an amenable number.

214204434444 is an abundant number, since it is smaller than the sum of its proper divisors (531433755636).

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

214204434444 is a wasteful number, since it uses less digits than its factorization.

214204434444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981437 (or 1981429 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 214204434444 its reverse (444434402412), we get a palindrome (658638836856).

The spelling of 214204434444 in words is "two hundred fourteen billion, two hundred four million, four hundred thirty-four thousand, four hundred forty-four".