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145414416 = 2437432781
BaseRepresentation
bin10001010101011…
…01100100010000
3101010121211002010
420222231210100
5244211230131
622232422520
73414000510
oct1052554420
9333554063
10145414416
11750a0004
1240847a40
1324184944
1415453840
15cb75b46
hex8aad910

145414416 has 40 divisors (see below), whose sum is σ = 429319744. Its totient is φ = 41546880.

The previous prime is 145414387. The next prime is 145414417. The reversal of 145414416 is 614414541.

It is a super-2 number, since 2×1454144162 = 42290704761242112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145414417) 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, 216055 + ... + 216726.

Almost surely, 2145414416 is an apocalyptic number.

145414416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145414416 is an abundant number, since it is smaller than the sum of its proper divisors (283905328).

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

145414416 is a wasteful number, since it uses less digits than its factorization.

145414416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432799 (or 432793 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 145414416 is about 12058.7899890495. The cubic root of 145414416 is about 525.8588102403.

Adding to 145414416 its reverse (614414541), we get a palindrome (759828957).

The spelling of 145414416 in words is "one hundred forty-five million, four hundred fourteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 432781 865562 1298343 1731124 2596686 3029467 3462248 5193372 6058934 6924496 9088401 10386744 12117868 18176802 20773488 24235736 36353604 48471472 72707208 145414416