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40242442221 = 334188141263
BaseRepresentation
bin100101011110101000…
…101110111111101101
310211212120020212201000
4211132220232333231
51124404031122341
630253115110513
72623150054302
oct453650567755
9124776225630
1040242442221
111608089a513
127971142439
133a44379bb7
141d3a87b0a9
1510a7e268b6
hex95ea2efed

40242442221 has 32 divisors (see below), whose sum is σ = 61143344640. Its totient is φ = 26143603200.

The previous prime is 40242442217. The next prime is 40242442241. The reversal of 40242442221 is 12224424204.

It is not a de Polignac number, because 40242442221 - 22 = 40242442217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40242442241) 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 31 ways as a sum of consecutive naturals, for example, 954636 + ... + 995898.

It is an arithmetic number, because the mean of its divisors is an integer number (1910729520).

Almost surely, 240242442221 is an apocalyptic number.

40242442221 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

40242442221 is a deficient number, since it is larger than the sum of its proper divisors (20900902419).

40242442221 is a wasteful number, since it uses less digits than its factorization.

40242442221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42194 (or 42188 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 40242442221 its reverse (12224424204), we get a palindrome (52466866425).

The spelling of 40242442221 in words is "forty billion, two hundred forty-two million, four hundred forty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 27 41 123 369 881 1107 2643 7929 23787 36121 41263 108363 123789 325089 371367 975267 1114101 1691783 5075349 15226047 36352703 45678141 109058109 327174327 981522981 1490460823 4471382469 13414147407 40242442221