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114232120441 = 31241106114411
BaseRepresentation
bin110101001100011000…
…0111101010001111001
3101220212000212222012121
41222120300331101321
53332421410323231
6124251050441241
711152531001005
oct1523060752171
9356760788177
10114232120441
114449a06590a
121a180133221
13aa06240a9a
1457592bb705
152e8891e311
hex1a98c3d479

114232120441 has 16 divisors (see below), whose sum is σ = 118526132736. Its totient is φ = 109977120000.

The previous prime is 114232120399. The next prime is 114232120451. The reversal of 114232120441 is 144021232411.

It is a cyclic number.

It is not a de Polignac number, because 114232120441 - 229 = 113695249529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114232120451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7919526 + ... + 7933936.

It is an arithmetic number, because the mean of its divisors is an integer number (7407883296).

Almost surely, 2114232120441 is an apocalyptic number.

It is an amenable number.

114232120441 is a deficient number, since it is larger than the sum of its proper divisors (4294012295).

114232120441 is a wasteful number, since it uses less digits than its factorization.

114232120441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15744.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 114232120441 its reverse (144021232411), we get a palindrome (258253352852).

The spelling of 114232120441 in words is "one hundred fourteen billion, two hundred thirty-two million, one hundred twenty thousand, four hundred forty-one".

Divisors: 1 31 241 1061 7471 14411 32891 255701 446741 3473051 7926731 15290071 107664581 473992201 3684907111 114232120441