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4020323142 = 2311414573251
BaseRepresentation
bin1110111110100001…
…0100001101000110
3101101011221120120010
43233220110031012
531213200320032
61502533251050
7201425116503
oct35750241506
911334846503
104020323142
111783405310
12942493a86
134c0bb8c44
142a1d244aa
15187e3bccc
hexefa14346

4020323142 has 64 divisors (see below), whose sum is σ = 9007987968. Its totient is φ = 1185600000.

The previous prime is 4020323129. The next prime is 4020323173. The reversal of 4020323142 is 2413230204.

4020323142 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40203231422 = 32325996332201504328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1235017 + ... + 1238267.

It is an arithmetic number, because the mean of its divisors is an integer number (140749812).

Almost surely, 24020323142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4020323142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4503993984).

4020323142 is an abundant number, since it is smaller than the sum of its proper divisors (4987664826).

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

4020323142 is a wasteful number, since it uses less digits than its factorization.

4020323142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3765.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4020323142 is about 63406.0181843963. The cubic root of 4020323142 is about 1590.0849264396.

Adding to 4020323142 its reverse (2413230204), we get a palindrome (6433553346).

The spelling of 4020323142 in words is "four billion, twenty million, three hundred twenty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 457 902 914 1353 1371 2706 2742 3251 5027 6502 9753 10054 15081 18737 19506 30162 35761 37474 56211 71522 107283 112422 133291 206107 214566 266582 399873 412214 618321 799746 1236642 1466201 1485707 2932402 2971414 4398603 4457121 8797206 8914242 16342777 32685554 49028331 60913987 98056662 121827974 182741961 365483922 670053857 1340107714 2010161571 4020323142