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114864944 = 2423241331
BaseRepresentation
bin1101101100010…
…11001100110000
322000010202002012
412312023030300
5213401134234
615221542052
72563223135
oct666131460
9260122065
10114864944
1159924807
1232574928
131aa4982c
141138058c
15a13e0ce
hex6d8b330

114864944 has 60 divisors (see below), whose sum is σ = 239041992. Its totient is φ = 53433600.

The previous prime is 114864943. The next prime is 114864947. The reversal of 114864944 is 449468411.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (114864943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 346859 + ... + 347189.

Almost surely, 2114864944 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 114864944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119520996).

114864944 is an abundant number, since it is smaller than the sum of its proper divisors (124177048).

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

114864944 is a wasteful number, since it uses less digits than its factorization.

114864944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 397 counting only the distinct ones).

The product of its digits is 110592, while the sum is 41.

The square root of 114864944 is about 10717.5064264035. The cubic root of 114864944 is about 486.1039704851.

The spelling of 114864944 in words is "one hundred fourteen million, eight hundred sixty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 23 41 46 82 92 164 184 328 331 368 529 656 662 943 1058 1324 1886 2116 2648 3772 4232 5296 7544 7613 8464 13571 15088 15226 21689 27142 30452 43378 54284 60904 86756 108568 121808 173512 175099 217136 312133 347024 350198 624266 700396 1248532 1400792 2497064 2801584 4994128 7179059 14358118 28716236 57432472 114864944