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114032401432211 = 4310928385969991
BaseRepresentation
bin11001111011011000111100…
…110001111011111010010011
3112221202101120010020210010002
4121323120330301323322103
5104421301324231312321
61042305432333000215
733006366132251633
oct3173307461737223
9487671503223102
10114032401432211
1133374962876409
12109582b062306b
134b82294b2c792
1420232aa5dc6c3
15d2b3a005220b
hex67b63cc7be93

114032401432211 has 16 divisors (see below), whose sum is σ = 118170912203520. Its totient is φ = 109968684648480.

The previous prime is 114032401432181. The next prime is 114032401432223. The reversal of 114032401432211 is 112234104230411.

It is a cyclic number.

It is not a de Polignac number, because 114032401432211 - 218 = 114032401170067 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114032401432111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41658575 + ... + 44311416.

It is an arithmetic number, because the mean of its divisors is an integer number (7385682012720).

Almost surely, 2114032401432211 is an apocalyptic number.

114032401432211 is a deficient number, since it is larger than the sum of its proper divisors (4138510771309).

114032401432211 is a wasteful number, since it uses less digits than its factorization.

114032401432211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85970426.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 114032401432211 its reverse (112234104230411), we get a palindrome (226266505662622).

The spelling of 114032401432211 in words is "one hundred fourteen trillion, thirty-two billion, four hundred one million, four hundred thirty-two thousand, two hundred eleven".

Divisors: 1 43 109 283 4687 12169 30847 1326421 85969991 3696709613 9370729019 24329507453 402941347817 1046168820479 2651916312377 114032401432211