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114416523 = 3313409797
BaseRepresentation
bin1101101000111…
…01101110001011
321222021221222000
412310131232023
5213242312043
615204202043
72556344604
oct664355613
9258257860
10114416523
1159648911
1232399323
131a9206b0
14112a4dab
15a0a12d3
hex6d1db8b

114416523 has 32 divisors (see below), whose sum is σ = 183220800. Its totient is φ = 70149888.

The previous prime is 114416521. The next prime is 114416551. The reversal of 114416523 is 325614411.

It is a happy number.

114416523 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 1 + 652 + 3 = 666.

114416523 is nontrivially palindromic in base 12.

It is not a de Polignac number, because 114416523 - 21 = 114416521 is a prime.

It is a super-2 number, since 2×1144165232 = 26182281470819058, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114416521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143161 + ... + 143957.

It is an arithmetic number, because the mean of its divisors is an integer number (5725650).

Almost surely, 2114416523 is an apocalyptic number.

114416523 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

114416523 is a deficient number, since it is larger than the sum of its proper divisors (68804277).

114416523 is a wasteful number, since it uses less digits than its factorization.

114416523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1222 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 114416523 is about 10696.5659442645. The cubic root of 114416523 is about 485.4705787993.

The spelling of 114416523 in words is "one hundred fourteen million, four hundred sixteen thousand, five hundred twenty-three".

Divisors: 1 3 9 13 27 39 117 351 409 797 1227 2391 3681 5317 7173 10361 11043 15951 21519 31083 47853 93249 143559 279747 325973 977919 2933757 4237649 8801271 12712947 38138841 114416523