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42111414 = 236171699
BaseRepresentation
bin1010000010100…
…1000110110110
32221020111000000
42200221012312
541240031124
64102332130
71020640542
oct240510666
987214000
1042111414
1121852a24
121212a046
1389558c7
145842a22
153a6c6c9
hex28291b6

42111414 has 56 divisors (see below), whose sum is σ = 100337400. Its totient is φ = 13203648.

The previous prime is 42111409. The next prime is 42111473. The reversal of 42111414 is 41411124.

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

It is a Curzon number.

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 27 ways as a sum of consecutive naturals, for example, 23937 + ... + 25635.

Almost surely, 242111414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42111414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50168700).

42111414 is an abundant number, since it is smaller than the sum of its proper divisors (58225986).

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

42111414 is a wasteful number, since it uses less digits than its factorization.

42111414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1721 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 42111414 is about 6489.3307821377. The cubic root of 42111414 is about 347.9097566239.

Adding to 42111414 its reverse (41411124), we get a palindrome (83522538).

It can be divided in two parts, 4211 and 1414, that added together give a square (5625 = 752).

The spelling of 42111414 in words is "forty-two million, one hundred eleven thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 729 918 1377 1458 1699 2754 3398 4131 5097 8262 10194 12393 15291 24786 28883 30582 45873 57766 86649 91746 137619 173298 259947 275238 412857 519894 779841 825714 1238571 1559682 2339523 2477142 4679046 7018569 14037138 21055707 42111414