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1042111340431 = 73727714525617
BaseRepresentation
bin11110010101000101010…
…11010001111110001111
310200121212112100011120021
433022202223101332033
5114033221000343211
62114423410403011
7135201330145210
oct17124253217617
93617775304507
101042111340431
11371a58758287
12149b74b90467
13773698a9965
143861d1b3407
151c1937a5771
hexf2a2ad1f8f

1042111340431 has 16 divisors (see below), whose sum is σ = 1227589028416. Its totient is φ = 865959123456.

The previous prime is 1042111340419. The next prime is 1042111340483. The reversal of 1042111340431 is 1340431112401.

It is not a de Polignac number, because 1042111340431 - 223 = 1042102951823 is a prime.

It is a super-2 number, since 2×10421113404312 (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 = 1042111340396 and 1042111340405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042111340131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7191066 + ... + 7334551.

It is an arithmetic number, because the mean of its divisors is an integer number (76724314276).

Almost surely, 21042111340431 is an apocalyptic number.

1042111340431 is a deficient number, since it is larger than the sum of its proper divisors (185477687985).

1042111340431 is a wasteful number, since it uses less digits than its factorization.

1042111340431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14525938.

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

Adding to 1042111340431 its reverse (1340431112401), we get a palindrome (2382542452832).

The spelling of 1042111340431 in words is "one trillion, forty-two billion, one hundred eleven million, three hundred forty thousand, four hundred thirty-one".

Divisors: 1 7 37 259 277 1939 10249 71743 14525617 101679319 537447829 3762134803 4023595909 28165171363 148873048633 1042111340431