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114411616 = 25111917107
BaseRepresentation
bin1101101000111…
…00100001100000
321222021201020021
412310130201200
5213242132431
615204123224
72556324364
oct664344140
9258251207
10114411616
1159645160
1232396514
131a91b3a7
14112a32a4
15a09eb11
hex6d1c860

114411616 has 48 divisors (see below), whose sum is σ = 258672960. Its totient is φ = 49265280.

The previous prime is 114411611. The next prime is 114411631. The reversal of 114411616 is 616114411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114411611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1866 + ... + 15241.

It is an arithmetic number, because the mean of its divisors is an integer number (5389020).

Almost surely, 2114411616 is an apocalyptic number.

114411616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114411616 is an abundant number, since it is smaller than the sum of its proper divisors (144261344).

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

114411616 is a wasteful number, since it uses less digits than its factorization.

114411616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17147 (or 17139 counting only the distinct ones).

The product of its digits is 576, while the sum is 25.

The square root of 114411616 is about 10696.3365691250. The cubic root of 114411616 is about 485.4636385482.

The spelling of 114411616 in words is "one hundred fourteen million, four hundred eleven thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 836 1672 3344 6688 17107 34214 68428 136856 188177 273712 325033 376354 547424 650066 752708 1300132 1505416 2600264 3010832 3575363 5200528 6021664 7150726 10401056 14301452 28602904 57205808 114411616