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4056161340 = 22357111934549
BaseRepresentation
bin1111000111000100…
…0001110000111100
3101110200101100022210
43301301001300330
531301334130330
61510253340420
7202341542160
oct36161016074
911420340283
104056161340
1117a1663060
12952497710
134c845638a
142a69b2ca0
1518b16a8b0
hexf1c41c3c

4056161340 has 192 divisors, whose sum is σ = 14236185600. Its totient is φ = 838287360.

The previous prime is 4056161293. The next prime is 4056161341. The reversal of 4056161340 is 431616504.

It is a super-2 number, since 2×40561613402 = 32904889632221191200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4056161298 and 4056161307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4056161341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 889386 + ... + 893934.

It is an arithmetic number, because the mean of its divisors is an integer number (74146800).

Almost surely, 24056161340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4056161340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7118092800).

4056161340 is an abundant number, since it is smaller than the sum of its proper divisors (10180024260).

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

4056161340 is a wasteful number, since it uses less digits than its factorization.

4056161340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772 (or 4770 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4056161340 is about 63687.9999685969. Note that the first 4 decimals coincide. The cubic root of 4056161340 is about 1594.7957652955.

Adding to 4056161340 its reverse (431616504), we get a palindrome (4487777844).

The spelling of 4056161340 in words is "four billion, fifty-six million, one hundred sixty-one thousand, three hundred forty".