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2032142442 = 2311318271201
BaseRepresentation
bin111100100100000…
…0000100001101010
312020121211112100220
41321020000201222
513130212024232
6533351510510
7101233632351
oct17110004152
95217745326
102032142442
11953100770
12488688436
1326501c565
14153c64998
15bd61142c
hex7920086a

2032142442 has 64 divisors (see below), whose sum is σ = 4586139648. Its totient is φ = 594720000.

The previous prime is 2032142407. The next prime is 2032142443. The reversal of 2032142442 is 2442412302.

It is not an unprimeable number, because it can be changed into a prime (2032142443) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1691442 + ... + 1692642.

It is an arithmetic number, because the mean of its divisors is an integer number (71658432).

Almost surely, 22032142442 is an apocalyptic number.

2032142442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032142442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293069824).

2032142442 is an abundant number, since it is smaller than the sum of its proper divisors (2553997206).

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

2032142442 is a wasteful number, since it uses less digits than its factorization.

2032142442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2032142442 is about 45079.2906110999. The cubic root of 2032142442 is about 1266.6347016710.

Adding to 2032142442 its reverse (2442412302), we get a palindrome (4474554744).

The spelling of 2032142442 in words is "two billion, thirty-two million, one hundred forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 827 1023 1201 1654 2046 2402 2481 3603 4962 7206 9097 13211 18194 25637 26422 27291 37231 39633 51274 54582 74462 76911 79266 111693 153822 223386 282007 409541 564014 819082 846021 993227 1228623 1692042 1986454 2457246 2979681 5959362 10925497 21850994 30790037 32776491 61580074 65552982 92370111 184740222 338690407 677380814 1016071221 2032142442