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114063744 = 27317101173
BaseRepresentation
bin1101100110001…
…11100110000000
321221122001001010
412303013212000
5213200014434
615152440520
72553345234
oct663074600
9257561033
10114063744
1159427863
1232249140
131a828c52
14112125c4
15a0319e9
hex6cc7980

114063744 has 128 divisors (see below), whose sum is σ = 325853280. Its totient is φ = 35225600.

The previous prime is 114063743. The next prime is 114063751. The reversal of 114063744 is 447360411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114063743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 659242 + ... + 659414.

Almost surely, 2114063744 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 114063744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162926640).

114063744 is an abundant number, since it is smaller than the sum of its proper divisors (211789536).

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

114063744 is a wasteful number, since it uses less digits than its factorization.

114063744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 114063744 is about 10680.0629211630. The cubic root of 114063744 is about 484.9711167126.

The spelling of 114063744 in words is "one hundred fourteen million, sixty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 101 102 128 136 173 192 202 204 272 303 346 384 404 408 519 544 606 692 808 816 1038 1088 1212 1384 1616 1632 1717 2076 2176 2424 2768 2941 3232 3264 3434 4152 4848 5151 5536 5882 6464 6528 6868 8304 8823 9696 10302 11072 11764 12928 13736 16608 17473 17646 19392 20604 22144 23528 27472 33216 34946 35292 38784 41208 47056 52419 54944 66432 69892 70584 82416 94112 104838 109888 139784 141168 164832 188224 209676 219776 279568 282336 297041 329664 376448 419352 559136 564672 594082 659328 838704 891123 1118272 1129344 1188164 1677408 1782246 2236544 2376328 3354816 3564492 4752656 6709632 7128984 9505312 14257968 19010624 28515936 38021248 57031872 114063744