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114134433224 = 23741129738327
BaseRepresentation
bin110101001001011110…
…0010011110111001000
3101220121020001221112112
41222102330103313020
53332221403330344
6124233241001452
711150233450430
oct1522274236710
9356536057475
10114134433224
1144449a03a79
121a153483288
13a9bbc29bb6
14574a32d2c0
152e80074c9e
hex1a92f13dc8

114134433224 has 64 divisors (see below), whose sum is σ = 250738709760. Its totient is φ = 47683676160.

The previous prime is 114134433223. The next prime is 114134433233. The reversal of 114134433224 is 422334431411.

It is not an unprimeable number, because it can be changed into a prime (114134433223) 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, 2958749 + ... + 2997075.

It is an arithmetic number, because the mean of its divisors is an integer number (3917792340).

Almost surely, 2114134433224 is an apocalyptic number.

114134433224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114134433224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125369354880).

114134433224 is an abundant number, since it is smaller than the sum of its proper divisors (136604276536).

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

114134433224 is a wasteful number, since it uses less digits than its factorization.

114134433224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39678 (or 39674 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

Adding to 114134433224 its reverse (422334431411), we get a palindrome (536468864635).

The spelling of 114134433224 in words is "one hundred fourteen billion, one hundred thirty-four million, four hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 1148 1297 2296 2594 5188 9079 10376 18158 36316 38327 53177 72632 76654 106354 153308 212708 268289 306616 372239 425416 536578 744478 1073156 1488956 1571407 2146312 2977912 3142814 6285628 10999849 12571256 21999698 43999396 49710119 87998792 99420238 198840476 347970833 397680952 695941666 1391883332 2038114879 2783766664 4076229758 8152459516 14266804153 16304919032 28533608306 57067216612 114134433224