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1042431431431 = 13839229341681
BaseRepresentation
bin11110010101101011100…
…00010101001100000111
310200122200211122110212111
433022311300111030013
5114034344421301211
62114515243201451
7135212264653135
oct17126560251407
93618624573774
101042431431431
113721024043a5
1214a044216287
13773bacc0410
143864d8d6755
151c1b1932421
hexf2b5c15307

1042431431431 has 16 divisors (see below), whose sum is σ = 1124473654080. Its totient is φ = 960655311360.

The previous prime is 1042431431281. The next prime is 1042431431449. The reversal of 1042431431431 is 1341341342401.

1042431431431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1042431431431 - 219 = 1042430907143 is a prime.

It is a super-2 number, since 2×10424314314312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1042431431393 and 1042431431402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042432431431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24988911 + ... + 25030591.

It is an arithmetic number, because the mean of its divisors is an integer number (70279603380).

Almost surely, 21042431431431 is an apocalyptic number.

1042431431431 is a deficient number, since it is larger than the sum of its proper divisors (82042222649).

1042431431431 is a wasteful number, since it uses less digits than its factorization.

1042431431431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44826.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 1042431431431 its reverse (1341341342401), we get a palindrome (2383772773832).

The spelling of 1042431431431 in words is "one trillion, forty-two billion, four hundred thirty-one million, four hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 13 839 2293 10907 29809 41681 541853 1923827 25009751 34970359 95574533 454614667 1242468929 80187033187 1042431431431