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142034034101031 = 3243811452543783
BaseRepresentation
bin100000010010110111100000…
…001001100000101100100111
3200121220022200001020212012200
4200102313200021200230213
5122104041200212213111
61222025311240545543
741626422525625362
oct4022674011405447
9617808601225180
10142034034101031
1141290328480956
1213b1b1927822b3
1361339a103b097
1427106abc950d9
151164970352256
hex812de0260b27

142034034101031 has 24 divisors (see below), whose sum is σ = 210190296091776. Its totient is φ = 92373236781840.

The previous prime is 142034034100993. The next prime is 142034034101039. The reversal of 142034034101031 is 130101430430241.

142034034101031 is a `hidden beast` number, since 1 + 4 + 203 + 4 + 0 + 3 + 410 + 10 + 31 = 666.

It is not a de Polignac number, because 142034034101031 - 26 = 142034034100967 is a prime.

It is a super-2 number, since 2×1420340341010312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 142034034100986 and 142034034101004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142034034101039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225958035 + ... + 226585748.

It is an arithmetic number, because the mean of its divisors is an integer number (8757929003824).

Almost surely, 2142034034101031 is an apocalyptic number.

142034034101031 is a deficient number, since it is larger than the sum of its proper divisors (68156261990745).

142034034101031 is a wasteful number, since it uses less digits than its factorization.

142034034101031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452544643 (or 452544640 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 142034034101031 its reverse (130101430430241), we get a palindrome (272135464531272).

The spelling of 142034034101031 in words is "one hundred forty-two trillion, thirty-four billion, thirty-four million, one hundred one thousand, thirty-one".

Divisors: 1 3 9 43 129 387 811 2433 7299 34873 104619 313857 452543783 1357631349 4072894047 19459382669 58378148007 175134444021 367013008013 1101039024039 3303117072117 15781559344559 47344678033677 142034034101031