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114138544 = 2413317191
BaseRepresentation
bin1101100110110…
…01110110110000
321221202211122111
412303121312300
5213204413134
615154215104
72554106302
oct663316660
9257684574
10114138544
1159478a83
1232284494
131a854000
1411231972
15a048c64
hex6cd9db0

114138544 has 80 divisors (see below), whose sum is σ = 254983680. Its totient is φ = 49320960.

The previous prime is 114138539. The next prime is 114138569. The reversal of 114138544 is 445831411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597489 + ... + 597679.

It is an arithmetic number, because the mean of its divisors is an integer number (3187296).

Almost surely, 2114138544 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 114138544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127491840).

114138544 is an abundant number, since it is smaller than the sum of its proper divisors (140845136).

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

114138544 is a wasteful number, since it uses less digits than its factorization.

114138544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 223 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 114138544 is about 10683.5641992736. The cubic root of 114138544 is about 485.0771039778.

Adding to 114138544 its reverse (445831411), we get a palindrome (559969955).

The spelling of 114138544 in words is "one hundred fourteen million, one hundred thirty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 169 191 208 221 272 338 382 442 676 764 884 1352 1528 1768 2197 2483 2704 2873 3056 3247 3536 4394 4966 5746 6494 8788 9932 11492 12988 17576 19864 22984 25976 32279 35152 37349 39728 42211 45968 51952 64558 74698 84422 129116 149396 168844 258232 298792 337688 419627 516464 548743 597584 675376 839254 1097486 1678508 2194972 3357016 4389944 6714032 7133659 8779888 14267318 28534636 57069272 114138544