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344415142431 = 32371915415077
BaseRepresentation
bin1010000001100001011…
…11100000001000011111
31012220222212212001001100
411000300233200020133
521120330234024211
6422115551444143
733611633256453
oct5006057401037
91186885761040
10344415142431
1112307a407188
12568bbb26653
132662a816589
1412953c4a663
158e5bac1156
hex5030be021f

344415142431 has 24 divisors (see below), whose sum is σ = 513609318144. Its totient is φ = 222234719040.

The previous prime is 344415142411. The next prime is 344415142451. The reversal of 344415142431 is 134241514443.

It is a happy number.

344415142431 is a `hidden beast` number, since 3 + 44 + 41 + 5 + 142 + 431 = 666.

It is an interprime number because it is at equal distance from previous prime (344415142411) and next prime (344415142451).

It is not a de Polignac number, because 344415142431 - 29 = 344415141919 is a prime.

It is a super-2 number, since 2×3444151424312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344415142411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2643936 + ... + 2771141.

It is an arithmetic number, because the mean of its divisors is an integer number (21400388256).

Almost surely, 2344415142431 is an apocalyptic number.

344415142431 is a deficient number, since it is larger than the sum of its proper divisors (169194175713).

344415142431 is a wasteful number, since it uses less digits than its factorization.

344415142431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5415311 (or 5415308 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 344415142431 its reverse (134241514443), we get a palindrome (478656656874).

The spelling of 344415142431 in words is "three hundred forty-four billion, four hundred fifteen million, one hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 37 111 191 333 573 1719 7067 21201 63603 5415077 16245231 48735693 200357849 601073547 1034279707 1803220641 3102839121 9308517363 38268349159 114805047477 344415142431