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114445044 = 223271134019
BaseRepresentation
bin1101101001001…
…00101011110100
321222100102002100
412310210223310
5213244220134
615204542100
72556524010
oct664445364
9258312070
10114445044
115966828a
12323b1930
131a93067c
14112b1540
15a0a9999
hex6d24af4

114445044 has 72 divisors (see below), whose sum is σ = 333627840. Its totient is φ = 32401152.

The previous prime is 114445031. The next prime is 114445057. The reversal of 114445044 is 440544411.

114445044 is a `hidden beast` number, since 114 + 44 + 504 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (114445031) and next prime (114445057).

It is a junction number, because it is equal to n+sod(n) for n = 114444999 and 114445017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26467 + ... + 30485.

It is an arithmetic number, because the mean of its divisors is an integer number (4633720).

Almost surely, 2114445044 is an apocalyptic number.

114445044 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 114445044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166813920).

114445044 is an abundant number, since it is smaller than the sum of its proper divisors (219182796).

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

114445044 is a wasteful number, since it uses less digits than its factorization.

114445044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4149 (or 4144 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 114445044 is about 10697.8990460744. The cubic root of 114445044 is about 485.5109137547.

Adding to 114445044 its reverse (440544411), we get a palindrome (554989455).

The spelling of 114445044 in words is "one hundred fourteen million, four hundred forty-five thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 113 126 226 252 339 452 678 791 1017 1356 1582 2034 2373 3164 4019 4068 4746 7119 8038 9492 12057 14238 16076 24114 28133 28476 36171 48228 56266 72342 84399 112532 144684 168798 253197 337596 454147 506394 908294 1012788 1362441 1816588 2724882 3179029 4087323 5449764 6358058 8174646 9537087 12716116 16349292 19074174 28611261 38148348 57222522 114445044