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42140142 = 23311611163
BaseRepresentation
bin1010000011000…
…0000111101110
32221021221102000
42200300013232
541241441032
64103113130
71021120362
oct240600756
987257360
1042140142
1121872570
12121427a6
1389659c5
14584d2a2
153a75e7c
hex28301ee

42140142 has 64 divisors (see below), whose sum is σ = 103921920. Its totient is φ = 12549600.

The previous prime is 42140123. The next prime is 42140167. The reversal of 42140142 is 24104124.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 35653 + ... + 36815.

It is an arithmetic number, because the mean of its divisors is an integer number (1623780).

Almost surely, 242140142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42140142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51960960).

42140142 is an abundant number, since it is smaller than the sum of its proper divisors (61781778).

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

42140142 is a wasteful number, since it uses less digits than its factorization.

42140142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 42140142 is about 6491.5438841619. The cubic root of 42140142 is about 347.9888521994.

Adding to 42140142 its reverse (24104124), we get a palindrome (66244266).

The spelling of 42140142 in words is "forty-two million, one hundred forty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 61 66 99 122 183 198 297 366 549 594 671 1098 1163 1342 1647 2013 2326 3294 3489 4026 6039 6978 10467 12078 12793 18117 20934 25586 31401 36234 38379 62802 70943 76758 115137 141886 212829 230274 345411 425658 638487 690822 780373 1276974 1560746 1915461 2341119 3830922 4682238 7023357 14046714 21070071 42140142