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114444 = 223211172
BaseRepresentation
bin11011111100001100
312210222200
4123330030
512130234
62241500
7654441
oct337414
9183880
10114444
1178a90
1256290
1340125
142d9c8
1523d99
hex1bf0c

114444 has 54 divisors (see below), whose sum is σ = 335244. Its totient is φ = 32640.

The previous prime is 114419. The next prime is 114451. The reversal of 114444 is 444411.

Adding to 114444 its reverse (444411), we get a palindrome (558855).

Multipling 114444 by its reverse (444411), we get a square (50860172484 = 2255222).

It can be divided in two parts, 11 and 4444, that multiplied together give a palindrome (48884).

114444 = T49 + T50 + ... + T92.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is a nialpdrome in base 7.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6724 + ... + 6740.

2114444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167622).

114444 is an abundant number, since it is smaller than the sum of its proper divisors (220800).

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

114444 is a wasteful number, since it uses less digits than its factorization.

114444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 33 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 114444 is about 338.2957286163. The cubic root of 114444 is about 48.5509437428.

The spelling of 114444 in words is "one hundred fourteen thousand, four hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 289 306 374 396 561 578 612 748 867 1122 1156 1683 1734 2244 2601 3179 3366 3468 5202 6358 6732 9537 10404 12716 19074 28611 38148 57222 114444