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1414143432 = 2332136412357
BaseRepresentation
bin101010001001010…
…0001110111001000
310122112221221002200
41110102201313020
510344010042212
6352154000200
750021010102
oct12422416710
93575857080
101414143432
11666279989
12335716060
13196c91280
14d5b54572
158423a6dc
hex544a1dc8

1414143432 has 96 divisors (see below), whose sum is σ = 4132772280. Its totient is φ = 434257920.

The previous prime is 1414143391. The next prime is 1414143469. The reversal of 1414143432 is 2343414141.

It can be written as a sum of positive squares in 4 ways, for example, as 1057160196 + 356983236 = 32514^2 + 18894^2 .

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 1414143396 and 1414143405.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 598798 + ... + 601154.

Almost surely, 21414143432 is an apocalyptic number.

1414143432 is a gapful number since it is divisible by the number (12) 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 1414143432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066386140).

1414143432 is an abundant number, since it is smaller than the sum of its proper divisors (2718628848).

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

1414143432 is a wasteful number, since it uses less digits than its factorization.

1414143432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023 (or 3016 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 1414143432 is about 37605.0984841152. The cubic root of 1414143432 is about 1122.4434938313.

Adding to 1414143432 its reverse (2343414141), we get a palindrome (3757557573).

The spelling of 1414143432 in words is "one billion, four hundred fourteen million, one hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 641 936 1282 1923 2357 2564 3846 4714 5128 5769 7071 7692 8333 9428 11538 14142 15384 16666 18856 21213 23076 24999 28284 30641 33332 42426 46152 49998 56568 61282 66664 74997 84852 91923 99996 122564 149994 169704 183846 199992 245128 275769 299988 367692 551538 599976 735384 1103076 1510837 2206152 3021674 4532511 6043348 9065022 12086696 13597533 18130044 19640881 27195066 36260088 39281762 54390132 58922643 78563524 108780264 117845286 157127048 176767929 235690572 353535858 471381144 707071716 1414143432