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420433040433 = 37314713740989
BaseRepresentation
bin1100001111000111100…
…00110001010000110001
31111012012200221101001010
412013203300301100301
523342021324243213
6521051055101133
742242502610320
oct6074360612061
91435180841033
10420433040433
1115233954407a
12695962117a9
1330853955403
14164c5bb00b7
15ae0a6a2ac3
hex61e3c31431

420433040433 has 32 divisors (see below), whose sum is σ = 675397140480. Its totient is φ = 227550761280.

The previous prime is 420433040431. The next prime is 420433040473. The reversal of 420433040433 is 334040334024.

It is not a de Polignac number, because 420433040433 - 21 = 420433040431 is a prime.

It is a super-2 number, since 2×4204330404332 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 420433040433.

It is not an unprimeable number, because it can be changed into a prime (420433040431) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6839898 + ... + 6901091.

It is an arithmetic number, because the mean of its divisors is an integer number (21106160640).

Almost surely, 2420433040433 is an apocalyptic number.

It is an amenable number.

420433040433 is a deficient number, since it is larger than the sum of its proper divisors (254964100047).

420433040433 is a wasteful number, since it uses less digits than its factorization.

420433040433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13741077.

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 420433040433 its reverse (334040334024), we get a palindrome (754473374457).

The spelling of 420433040433 in words is "four hundred twenty billion, four hundred thirty-three million, forty thousand, four hundred thirty-three".

Divisors: 1 3 7 21 31 47 93 141 217 329 651 987 1457 4371 10199 30597 13740989 41222967 96186923 288560769 425970659 645826483 1277911977 1937479449 2981794613 4520785381 8945383839 13562356143 20020620973 60061862919 140144346811 420433040433