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4010414510142 = 233977011092209
BaseRepresentation
bin111010010110111111010…
…101010001000000111110
3112012101120200102122002000
4322112333111101000332
51011201312103311032
612310205313043130
7562512544612335
oct72267725210076
915171520378060
104010414510142
111306897492247
125492b38564a6
13231246637b81
14dc168562d1c
156e4c0445e7c
hex3a5bf55103e

4010414510142 has 64 divisors (see below), whose sum is σ = 9016761499200. Its totient is φ = 1321134796800.

The previous prime is 4010414510111. The next prime is 4010414510149. The reversal of 4010414510142 is 2410154140104.

It is a happy number.

4010414510142 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 4 + 1 + 4 + 510 + 142 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4010414510149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3125734 + ... + 4217942.

It is an arithmetic number, because the mean of its divisors is an integer number (140886898425).

Almost surely, 24010414510142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4010414510142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508380749600).

4010414510142 is an abundant number, since it is smaller than the sum of its proper divisors (5006346989058).

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

4010414510142 is a wasteful number, since it uses less digits than its factorization.

4010414510142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093018 (or 1093012 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 4010414510142 its reverse (2410154140104), we get a palindrome (6420568650246).

The spelling of 4010414510142 in words is "four trillion, ten billion, four hundred fourteen million, five hundred ten thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 97 194 291 582 701 873 1402 1746 2103 2619 4206 5238 6309 12618 18927 37854 67997 135994 203991 407982 611973 1092209 1223946 1835919 2184418 3276627 3671838 6553254 9829881 19659762 29489643 58979286 105944273 211888546 317832819 635665638 765638509 953498457 1531277018 1906996914 2296915527 2860495371 4593831054 5720990742 6890746581 13781493162 20672239743 41344479486 74266935373 148533870746 222800806119 445601612238 668402418357 1336804836714 2005207255071 4010414510142