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42141132 = 223211106417
BaseRepresentation
bin1010000011000…
…0010111001100
32221021222202200
42200300113030
541242004012
64103121500
71021123305
oct240602714
987258680
1042141132
1121873290
1212143290
1389662a7
14584d7ac
153a763dc
hex28305cc

42141132 has 36 divisors (see below), whose sum is σ = 116208456. Its totient is φ = 12769920.

The previous prime is 42141119. The next prime is 42141133. The reversal of 42141132 is 23114124.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42141133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52813 + ... + 53604.

Almost surely, 242141132 is an apocalyptic number.

It is an amenable number.

42141132 is an abundant number, since it is smaller than the sum of its proper divisors (74067324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42141132 is a wasteful number, since it uses less digits than its factorization.

42141132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106438 (or 106433 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 42141132 is about 6491.6201367609. The cubic root of 42141132 is about 347.9915772833.

Adding to 42141132 its reverse (23114124), we get a palindrome (65255256).

The spelling of 42141132 in words is "forty-two million, one hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 106417 212834 319251 425668 638502 957753 1170587 1277004 1915506 2341174 3511761 3831012 4682348 7023522 10535283 14047044 21070566 42141132