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42433544031 = 32333137501
BaseRepresentation
bin100111100001001111…
…000111111101011111
311001112021012101022220
4213201033013331133
51143400441402111
631254350040423
73031354113234
oct474117077537
9131467171286
1042433544031
1116aa56a175a
128282aa9113
1340032b4348
1420a787d78b
151185486e06
hex9e13c7f5f

42433544031 has 32 divisors (see below), whose sum is σ = 61059256320. Its totient is φ = 26185500000.

The previous prime is 42433544029. The next prime is 42433544063. The reversal of 42433544031 is 13044533424.

It is not a de Polignac number, because 42433544031 - 21 = 42433544029 is a prime.

It is a super-2 number, since 2×424335440312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42433543983 and 42433544001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42433544431) 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, 1112781 + ... + 1150281.

It is an arithmetic number, because the mean of its divisors is an integer number (1908101760).

Almost surely, 242433544031 is an apocalyptic number.

42433544031 is a deficient number, since it is larger than the sum of its proper divisors (18625712289).

42433544031 is an equidigital number, since it uses as much as digits as its factorization.

42433544031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37604 (or 37558 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

The spelling of 42433544031 in words is "forty-two billion, four hundred thirty-three million, five hundred forty-four thousand, thirty-one".

Divisors: 1 3 23 31 69 93 529 713 1587 2139 12167 16399 36501 37501 49197 112503 377177 862523 1131531 1162531 2587569 3487593 19838029 26738213 59514087 80214639 456274667 614978899 1368824001 1844936697 14144514677 42433544031