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1142134200032 = 25737313669741
BaseRepresentation
bin10000100111101100100…
…000001101011011100000
311001012001021222220021212
4100213230200031123200
5122203042323400112
62232404511405252
7145342102342610
oct20475440153340
94035037886255
101142134200032
11400415a87111
1216542a523828
138391a061297
143d3cb2a4a40
151ea99a08522
hex109ec80d6e0

1142134200032 has 48 divisors (see below), whose sum is σ = 2576691688032. Its totient is φ = 488173754880.

The previous prime is 1142134200007. The next prime is 1142134200091. The reversal of 1142134200032 is 2300024312411.

It is a junction number, because it is equal to n+sod(n) for n = 1142134199980 and 1142134200007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6751319 + ... + 6918422.

It is an arithmetic number, because the mean of its divisors is an integer number (53681076834).

Almost surely, 21142134200032 is an apocalyptic number.

It is an amenable number.

1142134200032 is an abundant number, since it is smaller than the sum of its proper divisors (1434557488000).

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

1142134200032 is a wasteful number, since it uses less digits than its factorization.

1142134200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13670131 (or 13670123 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1142134200032 its reverse (2300024312411), we get a palindrome (3442158512443).

The spelling of 1142134200032 in words is "one trillion, one hundred forty-two billion, one hundred thirty-four million, two hundred thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 373 746 1492 2611 2984 5222 5968 10444 11936 20888 41776 83552 13669741 27339482 54678964 95688187 109357928 191376374 218715856 382752748 437431712 765505496 1531010992 3062021984 5098813393 10197626786 20395253572 35691693751 40790507144 71383387502 81581014288 142766775004 163162028576 285533550008 571067100016 1142134200032