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114134416 = 24116110631
BaseRepresentation
bin1101100110110…
…00110110010000
321221202121222121
412303120312100
5213204300131
615154144024
72554061254
oct663306620
9257677877
10114134416
1159475970
1232282014
131a852176
1411230264
15a047911
hex6cd8d90

114134416 has 40 divisors (see below), whose sum is σ = 245216448. Its totient is φ = 51024000.

The previous prime is 114134411. The next prime is 114134473. The reversal of 114134416 is 614431411.

It is a happy number.

It is a super-2 number, since 2×1141344162 = 26053329831322112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114134411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5421 + ... + 16051.

Almost surely, 2114134416 is an apocalyptic number.

114134416 is a gapful number since it is divisible by the number (16) 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 114134416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122608224).

114134416 is an abundant number, since it is smaller than the sum of its proper divisors (131082032).

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

114134416 is a wasteful number, since it uses less digits than its factorization.

114134416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10711 (or 10705 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 114134416 is about 10683.3710035737. The cubic root of 114134416 is about 485.0712560484.

Adding to 114134416 its reverse (614431411), we get a palindrome (728565827).

The spelling of 114134416 in words is "one hundred fourteen million, one hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 61 88 122 176 244 488 671 976 1342 2684 5368 10631 10736 21262 42524 85048 116941 170096 233882 467764 648491 935528 1296982 1871056 2593964 5187928 7133401 10375856 14266802 28533604 57067208 114134416