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42432022503 = 3313374375983
BaseRepresentation
bin100111100001001001…
…010100011111100111
311001112011100002012000
4213201021110133213
51143400044210003
631254253300343
73031335145263
oct474111243747
9131464302160
1042432022503
1116aa48525a2
1282824946b3
134002ba0930
1420a75a50a3
1511852861a3
hex9e12547e7

42432022503 has 64 divisors (see below), whose sum is σ = 71145338880. Its totient is φ = 24815113344.

The previous prime is 42432022487. The next prime is 42432022513. The reversal of 42432022503 is 30522023424.

It is a happy number.

42432022503 is a `hidden beast` number, since 4 + 2 + 432 + 0 + 225 + 0 + 3 = 666.

It is not a de Polignac number, because 42432022503 - 24 = 42432022487 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42432022513) 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 63 ways as a sum of consecutive naturals, for example, 520450 + ... + 596432.

It is an arithmetic number, because the mean of its divisors is an integer number (1111645920).

Almost surely, 242432022503 is an apocalyptic number.

42432022503 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

42432022503 is a deficient number, since it is larger than the sum of its proper divisors (28713316377).

42432022503 is a wasteful number, since it uses less digits than its factorization.

42432022503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76085 (or 76079 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 42432022503 its reverse (30522023424), we get a palindrome (72954045927).

The spelling of 42432022503 in words is "forty-two billion, four hundred thirty-two million, twenty-two thousand, five hundred three".

Divisors: 1 3 9 13 27 37 39 43 111 117 129 333 351 387 481 559 999 1161 1443 1591 1677 4329 4773 5031 12987 14319 15093 20683 42957 62049 75983 186147 227949 558441 683847 987779 2051541 2811371 2963337 3267269 8434113 8890011 9801807 25302339 26670033 29405421 36547823 42474497 75907017 88216263 109643469 120888953 127423491 328930407 362666859 382270473 986791221 1088000577 1146811419 1571556389 3264001731 4714669167 14144007501 42432022503