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40430133431 = 1713747936241
BaseRepresentation
bin100101101001110100…
…101110000010110111
310212100122102120122022
4211221310232002313
51130300103232211
630323502023355
72630616315062
oct455164560267
9125318376568
1040430133431
1116167835716
127a03b77b5b
133a7421479c
141d577778d9
1510b964dbdb
hex969d2e0b7

40430133431 has 16 divisors (see below), whose sum is σ = 43212061440. Its totient is φ = 37694238720.

The previous prime is 40430133413. The next prime is 40430133437. The reversal of 40430133431 is 13433103404.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-40430133431 is a prime.

It is a super-4 number, since 4×404301334314 (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 40430133431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40430133437) 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 15 ways as a sum of consecutive naturals, for example, 1097471 + ... + 1133711.

It is an arithmetic number, because the mean of its divisors is an integer number (2700753840).

Almost surely, 240430133431 is an apocalyptic number.

40430133431 is a deficient number, since it is larger than the sum of its proper divisors (2781928009).

40430133431 is a wasteful number, since it uses less digits than its factorization.

40430133431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36874.

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 40430133431 its reverse (13433103404), we get a palindrome (53863236835).

The spelling of 40430133431 in words is "forty billion, four hundred thirty million, one hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 17 137 479 2329 8143 36241 65623 616097 1115591 4965017 17359439 84405289 295110463 2378243143 40430133431