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42145333641 = 37171133579
BaseRepresentation
bin100111010000000011…
…101100000110001001
311000210011212210000000
4213100003230012021
51142303201134031
631210012433213
73021254265555
oct472003540611
9130704783000
1042145333641
1116967a3aa54
128202478809
133c88683858
14207b498865
15116a0063e6
hex9d00ec189

42145333641 has 32 divisors (see below), whose sum is σ = 66926563200. Its totient is φ = 26444107584.

The previous prime is 42145333603. The next prime is 42145333693. The reversal of 42145333641 is 14633354124.

42145333641 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 5 + 3 + 3 + 3 + 641 = 666.

It is not a de Polignac number, because 42145333641 - 26 = 42145333577 is a prime.

It is a super-2 number, since 2×421453336412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42145333596 and 42145333605.

It is not an unprimeable number, because it can be changed into a prime (42145333541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 529611 + ... + 603968.

It is an arithmetic number, because the mean of its divisors is an integer number (2091455100).

Almost surely, 242145333641 is an apocalyptic number.

It is an amenable number.

42145333641 is a deficient number, since it is larger than the sum of its proper divisors (24781229559).

42145333641 is an equidigital number, since it uses as much as digits as its factorization.

42145333641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133617 (or 1133599 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

Adding to 42145333641 its reverse (14633354124), we get a palindrome (56778687765).

The spelling of 42145333641 in words is "forty-two billion, one hundred forty-five million, three hundred thirty-three thousand, six hundred forty-one".

Divisors: 1 3 9 17 27 51 81 153 243 459 729 1377 2187 4131 12393 37179 1133579 3400737 10202211 19270843 30606633 57812529 91819899 173437587 275459697 520312761 826379091 1560938283 2479137273 4682814849 14048444547 42145333641