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2041132434 = 2311139271821
BaseRepresentation
bin111100110101001…
…0011010110010010
312021020202021022120
41321222103112102
513140012214214
6534312315110
7101403224265
oct17152232622
95236667276
102041132434
11958191010
1248b6a2a96
13266b49493
14155124cdc
15be2d9ea9
hex79a93592

2041132434 has 64 divisors (see below), whose sum is σ = 4507453440. Its totient is φ = 611064000.

The previous prime is 2041132409. The next prime is 2041132441. The reversal of 2041132434 is 4342311402.

It is a super-2 number, since 2×20411324342 = 8332443226253528712, which contains 22 as substring.

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, 2485744 + ... + 2486564.

It is an arithmetic number, because the mean of its divisors is an integer number (70428960).

Almost surely, 22041132434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041132434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253726720).

2041132434 is an abundant number, since it is smaller than the sum of its proper divisors (2466321006).

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

2041132434 is a wasteful number, since it uses less digits than its factorization.

2041132434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2041132434 is about 45178.8936783538. The cubic root of 2041132434 is about 1268.4997752097.

Adding to 2041132434 its reverse (4342311402), we get a palindrome (6383443836).

The spelling of 2041132434 in words is "two billion, forty-one million, one hundred thirty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 139 271 278 417 542 813 821 834 1529 1626 1642 2463 2981 3058 4587 4926 5962 8943 9031 9174 17886 18062 27093 37669 54186 75338 113007 114119 222491 226014 228238 342357 414359 444982 667473 684714 828718 1243077 1255309 1334946 2447401 2486154 2510618 3765927 4894802 7342203 7531854 14684406 30926249 61852498 92778747 185557494 340188739 680377478 1020566217 2041132434