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434232044001 = 32722342811007
BaseRepresentation
bin1100101000110100011…
…11110010100111100001
31112111211101012101100100
412110122033302213201
524103301400402001
6531252231413013
743241450321400
oct6243217624741
91474741171310
10434232044001
1115817a739758
12701a7524169
1331c4271b592
14170346c5637
15b466d31586
hex651a3f29e1

434232044001 has 36 divisors (see below), whose sum is σ = 761350966272. Its totient is φ = 237344217264.

The previous prime is 434232043981. The next prime is 434232044023. The reversal of 434232044001 is 100440232434.

It is a happy number.

434232044001 is a `hidden beast` number, since 4 + 34 + 23 + 204 + 400 + 1 = 666.

It is not a de Polignac number, because 434232044001 - 221 = 434229946849 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (434232044201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21395361 + ... + 21415646.

It is an arithmetic number, because the mean of its divisors is an integer number (21148637952).

Almost surely, 2434232044001 is an apocalyptic number.

It is an amenable number.

434232044001 is a deficient number, since it is larger than the sum of its proper divisors (327118922271).

434232044001 is a wasteful number, since it uses less digits than its factorization.

434232044001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42811050 (or 42811040 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 434232044001 its reverse (100440232434), we get a palindrome (534672276435).

The spelling of 434232044001 in words is "four hundred thirty-four billion, two hundred thirty-two million, forty-four thousand, one".

Divisors: 1 3 7 9 21 23 49 63 69 147 161 207 441 483 1127 1449 3381 10143 42811007 128433021 299677049 385299063 899031147 984653161 2097739343 2697093441 2953959483 6293218029 6892572127 8861878449 18879654087 20677716381 48248004889 62033149143 144744014667 434232044001