[go: up one dir, main page]

Search a number
-
+
4142772414 = 2321137565489
BaseRepresentation
bin1111011011101101…
…1011000010111110
3101200201100122101100
43312323123002332
531441022204124
61523025553530
7204442661454
oct36673330276
911621318340
104142772414
11183653a260
129774a58a6
1351038c931
142b42ba9d4
15193a781c9
hexf6edb0be

4142772414 has 48 divisors (see below), whose sum is σ = 10056674160. Its totient is φ = 1221454080.

The previous prime is 4142772383. The next prime is 4142772419.

4142772414 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142772419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275419 + ... + 290070.

It is an arithmetic number, because the mean of its divisors is an integer number (209514045).

Almost surely, 24142772414 is an apocalyptic number.

4142772414 is an abundant number, since it is smaller than the sum of its proper divisors (5913901746).

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

4142772414 is a wasteful number, since it uses less digits than its factorization.

4142772414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565545 (or 565542 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 4142772414 is about 64364.3722411708. The cubic root of 4142772414 is about 1606.0671227568.

The spelling of 4142772414 in words is "four billion, one hundred forty-two million, seven hundred seventy-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 565489 1130978 1696467 3392934 5089401 6220379 10178802 12440758 18661137 20923093 37322274 41846186 55983411 62769279 111966822 125538558 188307837 230154023 376615674 460308046 690462069 1380924138 2071386207 4142772414