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114477444 = 223229310853
BaseRepresentation
bin1101101001011…
…00100110000100
321222102001112100
412310230212010
5213301234234
615205352100
72560020324
oct664544604
9258361470
10114477444
115968a664
1232408630
131a942343
14112bd284
15a0b4399
hex6d2c984

114477444 has 36 divisors (see below), whose sum is σ = 290387916. Its totient is φ = 38025408.

The previous prime is 114477443. The next prime is 114477449. The reversal of 114477444 is 444774411.

114477444 is a `hidden beast` number, since 1 + 144 + 77 + 444 = 666.

114477444 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 89075844 + 25401600 = 9438^2 + 5040^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

114477444 is strictly pandigital in base 9.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 114477399 and 114477408.

It is not an unprimeable number, because it can be changed into a prime (114477443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5122 + ... + 15974.

It is an arithmetic number, because the mean of its divisors is an integer number (8066331).

Almost surely, 2114477444 is an apocalyptic number.

It is an amenable number.

114477444 is an abundant number, since it is smaller than the sum of its proper divisors (175910472).

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

114477444 is a wasteful number, since it uses less digits than its factorization.

114477444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11156 (or 11151 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 114477444 is about 10699.4132549407. The cubic root of 114477444 is about 485.5567263381.

It can be divided in two parts, 114477 and 444, that added together give a square (114921 = 3392).

The spelling of 114477444 in words is "one hundred fourteen million, four hundred seventy-seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 293 586 879 1172 1758 2637 3516 5274 10548 10853 21706 32559 43412 65118 97677 130236 195354 390708 3179929 6359858 9539787 12719716 19079574 28619361 38159148 57238722 114477444