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114146424 = 233272343229
BaseRepresentation
bin1101100110110…
…11110001111000
321221210020110100
412303123301320
5213210141144
615154315400
72554141260
oct663336170
9257706410
10114146424
1159483997
1232288b60
131a857782
14112347a0
15a04b269
hex6cdbc78

114146424 has 192 divisors, whose sum is σ = 378892800. Its totient is φ = 30336768.

The previous prime is 114146413. The next prime is 114146429. The reversal of 114146424 is 424641411.

114146424 is a `hidden beast` number, since 1 + 1 + 4 + 14 + 642 + 4 = 666.

It is a super-2 number, since 2×1141464242 = 26058812223975552, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114146429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 498342 + ... + 498570.

It is an arithmetic number, because the mean of its divisors is an integer number (1973400).

Almost surely, 2114146424 is an apocalyptic number.

114146424 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 114146424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189446400).

114146424 is an abundant number, since it is smaller than the sum of its proper divisors (264746376).

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

114146424 is a wasteful number, since it uses less digits than its factorization.

114146424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 307 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 114146424 is about 10683.9329836910. The cubic root of 114146424 is about 485.0882667848.

Adding to 114146424 its reverse (424641411), we get a palindrome (538787835).

The spelling of 114146424 in words is "one hundred fourteen million, one hundred forty-six thousand, four hundred twenty-four".