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410042142 = 233172232003
BaseRepresentation
bin11000011100001…
…011111100011110
31001120120022002000
4120130023330132
51314432322032
6104404343130
713106205066
oct3034137436
91046508060
10410042142
111a0504804
12b53a4aa6
1366c493b3
143c65a3a6
1525ee8e7c
hex1870bf1e

410042142 has 64 divisors (see below), whose sum is σ = 969615360. Its totient is φ = 127999872.

The previous prime is 410042141. The next prime is 410042167. The reversal of 410042142 is 241240014.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410042141) 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, 203713 + ... + 205715.

It is an arithmetic number, because the mean of its divisors is an integer number (15150240).

Almost surely, 2410042142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 410042142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484807680).

410042142 is an abundant number, since it is smaller than the sum of its proper divisors (559573218).

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

410042142 is a wasteful number, since it uses less digits than its factorization.

410042142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2248 counting only the distinct ones).

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

The square root of 410042142 is about 20249.4973270943. The cubic root of 410042142 is about 742.9213362144.

Adding to 410042142 its reverse (241240014), we get a palindrome (651282156).

The spelling of 410042142 in words is "four hundred ten million, forty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 223 306 446 459 669 918 1338 2003 2007 3791 4006 4014 6009 6021 7582 11373 12018 12042 18027 22746 34051 34119 36054 54081 68102 68238 102153 102357 108162 204306 204714 306459 446669 612918 893338 919377 1340007 1838754 2680014 4020021 7593373 8040042 12060063 15186746 22780119 24120126 45560238 68340357 136680714 205021071 410042142