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44142345 = 32513611237
BaseRepresentation
bin1010100001100…
…0111100001001
310002001122220200
42220120330021
542300023340
64214042413
71044126612
oct250307411
9102048820
1044142345
1122a0a885
1212949409
1391b7140
145c10c09
153d1e330
hex2a18f09

44142345 has 48 divisors (see below), whose sum is σ = 83817552. Its totient is φ = 21358080.

The previous prime is 44142341. The next prime is 44142361. The reversal of 44142345 is 54324144.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7817616 + 36324729 = 2796^2 + 6027^2 .

It is not a de Polignac number, because 44142345 - 22 = 44142341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (44142341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35067 + ... + 36303.

It is an arithmetic number, because the mean of its divisors is an integer number (1746199).

Almost surely, 244142345 is an apocalyptic number.

44142345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

44142345 is a deficient number, since it is larger than the sum of its proper divisors (39675207).

44142345 is a wasteful number, since it uses less digits than its factorization.

44142345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1319 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 44142345 is about 6643.9705748897. The cubic root of 44142345 is about 353.4151263315.

Adding to 44142345 its reverse (54324144), we get a palindrome (98466489).

The spelling of 44142345 in words is "forty-four million, one hundred forty-two thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 61 65 117 183 195 305 549 585 793 915 1237 2379 2745 3711 3965 6185 7137 11133 11895 16081 18555 35685 48243 55665 75457 80405 144729 226371 241215 377285 679113 723645 980941 1131855 2942823 3395565 4904705 8828469 14714115 44142345