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41414142 = 23711175273
BaseRepresentation
bin1001110111111…
…0110111111110
32212221001112010
42131332313332
541100223032
64035352050
71012004640
oct235766776
985831463
1041414142
1121417070
1211a52626
138770413
145700890
153980ccc
hex277edfe

41414142 has 64 divisors (see below), whose sum is σ = 109361664. Its totient is φ = 10122240.

The previous prime is 41414111. The next prime is 41414143. The reversal of 41414142 is 24141414.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41414143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5218 + ... + 10490.

It is an arithmetic number, because the mean of its divisors is an integer number (1708776).

Almost surely, 241414142 is an apocalyptic number.

41414142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 41414142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54680832).

41414142 is an abundant number, since it is smaller than the sum of its proper divisors (67947522).

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

41414142 is a wasteful number, since it uses less digits than its factorization.

41414142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5313.

The product of its digits is 512, while the sum is 21.

The square root of 41414142 is about 6435.3820399414. The cubic root of 41414142 is about 345.9788542213.

Adding to 41414142 its reverse (24141414), we get a palindrome (65555556).

It can be divided in two parts, 4141414 and 2, that multiplied together give a palindrome (8282828).

The spelling of 41414142 in words is "forty-one million, four hundred fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 102 119 154 187 231 238 357 374 462 561 714 1122 1309 2618 3927 5273 7854 10546 15819 31638 36911 58003 73822 89641 110733 116006 174009 179282 221466 268923 348018 406021 537846 627487 812042 986051 1218063 1254974 1882461 1972102 2436126 2958153 3764922 5916306 6902357 13804714 20707071 41414142