Search a number
-
+
42144345 = 3253130211
BaseRepresentation
bin1010000011000…
…1001001011001
32221022011011200
42200301021121
541242104340
64103144413
71021135545
oct240611131
987264150
1042144345
1121875741
1212145109
1389678a9
145850a25
153a77330
hex2831259

42144345 has 24 divisors (see below), whose sum is σ = 75409152. Its totient is φ = 21751200.

The previous prime is 42144331. The next prime is 42144353. The reversal of 42144345 is 54344124.

It is a happy number.

It is not a de Polignac number, because 42144345 - 27 = 42144217 is a prime.

It is a super-2 number, since 2×421443452 = 3552291630958050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13711 + ... + 16500.

It is an arithmetic number, because the mean of its divisors is an integer number (3142048).

Almost surely, 242144345 is an apocalyptic number.

42144345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42144345 is a deficient number, since it is larger than the sum of its proper divisors (33264807).

42144345 is a wasteful number, since it uses less digits than its factorization.

42144345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30253 (or 30250 counting only the distinct ones).

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

The square root of 42144345 is about 6491.8676049347. The cubic root of 42144345 is about 348.0004211251. Note that the first 3 decimals are identical.

Adding to 42144345 its reverse (54344124), we get a palindrome (96488469).

The spelling of 42144345 in words is "forty-two million, one hundred forty-four thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 31 45 93 155 279 465 1395 30211 90633 151055 271899 453165 936541 1359495 2809623 4682705 8428869 14048115 42144345