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434422153332 = 223212067282037
BaseRepresentation
bin1100101001001011001…
…01000000000001110100
31112112022121220221022200
412110211211000001310
524104144032401312
6531323142224500
743246246243116
oct6244545000164
91475277827280
10434422153332
11158267a86702
127023b125130
1331c72c219cb
1417051a513b6
15b4788850dc
hex6525940074

434422153332 has 18 divisors (see below), whose sum is σ = 1098122665458. Its totient is φ = 144807384432.

The previous prime is 434422153331. The next prime is 434422153369. The reversal of 434422153332 is 233351224434.

434422153332 is a `hidden beast` number, since 4 + 34 + 42 + 21 + 533 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 411170783076 + 23251370256 = 641226^2 + 152484^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×4344221533322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 12067282037 = 434422153332 / (4 + 3 + 4 + 4 + 2 + 2 + 1 + 5 + 3 + 3 + 3 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434422153331) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6033640983 + ... + 6033641054.

Almost surely, 2434422153332 is an apocalyptic number.

It is an amenable number.

434422153332 is an abundant number, since it is smaller than the sum of its proper divisors (663700512126).

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

434422153332 is a wasteful number, since it uses less digits than its factorization.

434422153332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12067282047 (or 12067282042 counting only the distinct ones).

The product of its digits is 207360, while the sum is 36.

Adding to 434422153332 its reverse (233351224434), we get a palindrome (667773377766).

The spelling of 434422153332 in words is "four hundred thirty-four billion, four hundred twenty-two million, one hundred fifty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 12067282037 24134564074 36201846111 48269128148 72403692222 108605538333 144807384444 217211076666 434422153332